1 Personal information - Politecnico di Milanovergara/curriculum-inglese-ricerca.pdf · Curriculum Vitae et Studiorum Christian Vergara Academic Year 2009/2010 • Lecturer. Numerical

Curriculum Vitae et Studiorum Christian Vergara

Curriculum Vitae et StudiorumChristian Vergara

LABS - Dipartimento di Chimica, Materiali e Ingegneria Chimica”Giulio Natta”Politecnico di MilanoPiazza Leonardo da Vinci 3220133 Milano Italy

Tel: (+39) 02 23994706E-mail: [email protected]

Url: http://www1.mate.polimi.it/∼vergara/

1 Personal information

Personal Data

Born in Trento (Italy), February 13, 1976Italian CitizenshipMarried, two daughtersORCID identifier: https://orcid.org/0000-0001-9872-5410

Education

July 1995. Liceo Scientifico “G. Galilei”, Trento (Italy). Graduated from high school (scientific ori-ented). Mark: 58/60.

June 14, 2002. Graduated in Biomedical Engineering, Politecnico di Milano, Italy, 5 years degree cur-riculum, final mark: 93/100. Advisor: A. Veneziani.

April 28, 2006. PhD in Mathematical Engineering, Dipartimento di Matematica, Politecnico di Milano,Italy. Title of the thesis: “Numerical Modeling of Defective Boundary Problems in IncompressibleFluid-Dynamics - Applications to Computational Haemodynamics”. Advisor: A. Veneziani. Finalmark: A cum laude.

Current Academic Position

January 1, 2019 - onwards. Associate Professor in Numerical Analysis (MAT/08) at LABS – Labo-ratory of Biological Structure Mechanics, Dipartimento di Chimica, Materiali e Ingegneria Chimica”Giulio Natta”, Politecnico di Milano, Italy.

Past Academic Positions

June 1, 2006 - October 31, 2006. Postdoctoral fellow at CMCS - Ecole Polytecnique Federale deLausanne (EPFL). Assistant of A. Quarteroni.

November 1, 2006 - April 30, 2007. Postdoctoral fellow at MOX, Dipartimento di Matematica, Po-litecnico di Milano (Italy). Project: Modellistica Matematica di Materiali Microstrutturati perDispositivi a Rilascio di Farmaco, funded by Fondazione Cariplo.

May 1, 2007 - October 31, 2007. Postdoctoral fellow at MOX, Dipartimento di Matematica, Politec-nico di Milano (Italy). Project: Modellazione multiscala di distretti venosi, funded by Policlinicodi Milano.

November 1, 2007 - February 15, 2015. Assistant Professor in Numerical Analysis (MAT/08) atDipartimento di Ingegneria Gestionale, dell’Informazione e della Produzione, Universita degli Studidi Bergamo, Italy.

February 16, 2015 - December 31, 2018. Associate Professor in Numerical Analysis (MAT/08) atMOX – Laboratory for Modeling and Scientific Computing, Dipartimento di Matematica, Politec-nico di Milano, Italy.

Last update: January 20, 2019 pag. 1


Foreign Languages

English. Good written and oral knowledge.

2 Teaching Activity

Academic Years 2002/2003,2003/2004,2004/2005,2005/2006,2006/2007

• [′02 −′ 03] Head Assistant. Numerical Analysis. BSc in Mechanical Engineering. Politecnico diMilano (24 hours). Lecturer: A. Veneziani.

• [′03−′04,′ 04−′05,′ 05−′06,′ 06−′07] Head Assistant. Mathematical and Numerical Methodsfor Engineering - section Numerical Methods. MSc in Biomedical and Nuclear Engineering.Politecnico di Milano (20 hours). Lecturer: A. Veneziani.

• [′03−′04,′ 04−′05] Head Assistant. Numerical Analysis of Partial Differential Equations.BSc in Mathematical Engineering. Politecnico di Milano (20 hours). Lecturer: A. Veneziani.

• [′05−′06,′ 06−′07] Head Assistant. Numerical Analysis of Partial Differential Equations.BSc in Mathematical Engineering. Politecnico di Milano (30 hours). Lecturer: A. Veneziani.

• [′02−′ 03] Tutor. Numerical Analysis. BSc in Mathematical Engineering. Politecnico di Milano(20 hours). Lecturer: A. Quarteroni.

Academic Year 2007/2008

• Lecturer. Numerical Analysis. MSc in Civil, Mechanical, Information and Financial Engineer-ing. Universita degli Studi di Bergamo (32 hours).

• Lecturer of the PhD course Numerical Methods for Engineering. PhD programme in ”Re-search in Technologies for the Energy and the Environment”. Universita degli Studi di Bergamo(30 hours).

• Head Assistant. Mathematical and Numerical Methods for Engineering - section Nu-merical Methods. MSc in Biomedical and Nuclear Engineering. Politecnico di Milano (24 hours).Lecturer: P. Zunino.

• Head Assistant. Numerical Analysis of Partial Differential Equations. BSc in Mathe-matical Engineering. Politecnico di Milano (20 hours). Lecturer: P. Zunino.


• Lecturer. Numerical Analysis. MSc in Civil, Mechanical, Information and Financial Engineer-ing. Universita di degli Studi Bergamo (32 hours).

• Lecturer of the PhD course Numerical Methods for Engineering. PhD programme in ”Re-search in Technologies for the Energy and the Environment”. Universita di degli Studi Bergamo(30 hours).

• Head Assistant. Geometry and Linear Algebra. BSc in Civil, Mechanical, Information andFinancial Engineering. Universita di degli Studi Bergamo (36 hours). Lecturers: M. Pedroni andL. Grenie.


• Head assistant. Analytical and Numerical Methods for Engineering. MSc in AerospaceEngineering. Politecnico di Milano (20 hours). Lecturer: M. Verani.

• Head assistant. Numerical Modeling of Differential Problems. MSc in Aerospace Engi-neering. Politecnico di Milano (30 hours). Lecturer: L. Formaggia.





• Lecturer of the PhD course Numerical Methods for Engineering. PhD programme in ”Re-search in Technologies for the Energy and the Environment”. Universita di degli Studi Bergamo(30 hours).

• Head Assistant. Geometry and Linear Algebra. BSc in Civil, Mechanical, Information andFinancial Engineering. Universita di degli Studi Bergamo (36 hours). Lecturers: M. Pedroni andL. Grenie.




• Lecturer. Geometry and Linear Algebra - section of Numerical Methods. BSc in Civil,Mechanical, Information and Financial Engineering. Universita degli Studi di Bergamo (42 hours).

• Lecturer of the PhD course Numerical Methods for Engineering. PhD programme in ”Re-search in Technologies for the Energy and the Environment”. Universita degli Studi di Bergamo(30 hours).






• Lecturer within the PhD course Cardiovascular Mathematics. Doctoral program in ”Mathe-matical models and methods in Engineering”. Dipartimento di Matematica, Politecnico di Milano(6 hours).



Academic Years 2012/2013-2013/2014-2014/2015



• Lecturer. Mathematical and Numerical Methods for Engineering - section NumericalMethods. MSc in Biomedical and Nuclear Engineering. Politecnico di Milano (42 hours).



• Lecturer within the PhD course Cardiovascular Mathematics. Doctoral program in ”Mathe-matical models and methods in Engineering”. Dipartimento di Matematica, Politecnico di Milano(9x1 hours + 12x2 hours).

• Head Assistant. Numerical Analysis of Partial Differential Equations. BSc in Mathe-matical Engineering. Politecnico di Milano (20 hours). Lecturer: E. Miglio.



• Lecturer. Curve e superfici per il Design. BSc in Design della Comunicazione. Politecnico diMilano (32 hours).

• Head Assistant. Numerical Analysis of Partial Differential Equations. BSc in Mathe-matical Engineering. Politecnico di Milano (20 hours). Lecturer: E. Miglio.





• Lecturer of the PhD course Numerical Methods for Engineering. Doctoral program in”Engineering and Applied Sciences”. Universita’ degli Studi di Bergamo (20 hours).



• Lecturer. Calcolo Numerico. BSc in Biomedical Engineering. Politecnico di Milano (30 hours).






• Lecturer. Advanced numerical methods for coupled problems with application toliving systems. MSc in Mathematical Engineering. Politecnico di Milano (48 hours).


• Lecturer. Calcolo Numerico. MSc in Engineering. Universita’ degli Studi di Bergamo (32hours).



• Lecturer of the PhD course Numerical Methods for Fluid Structure Interaction. Doc-toral program in ”Mathematical models and methods in Engineering”. Dipartimento di Matematica,Politecnico di Milano (25 hours).



Other teaching activities

1. Head assistant and responsible of the laboratories at the Summer School ”Mathematical Modellingand Computation: The Fluid-Structure Interaction problem”, held at the Institute of Computa-tional Mathematics, Academy of Maths and Systems Sciences, Beijing, China (18 hours). Lecturer:F. Nobile. August 02-14, 2010.

2. Lecturer of the mini-course ”Numerical solution of fluid-structure interaction problems in haemody-namics”, within the Intensive Programme ”If Fluid-dynamics turns to Biology”, L’Aquila, Italy (9hours). July 03-05, 2013.

3. Collaborator of the course ”Integrated models for computational medicine - Geometrical multiscalemodels of the cardiovascular system”, Cortona (AR), Italy. July 20-25, 2015. Lecturer: L. Formag-gia.

3 Research Activity

Research Interests

Main research field. Numerical discretization of partial differential equations, numerical algorithmsfor the fluid-structure interaction problem, geometric multiscale modeling of the cardiovascularsystem, computational hemodynamics for clinical applications, numerical modeling of the electricalactivity of the heart, Optimized Schwarz Method, Finite Elements methods for unfitted meshes.

Main keywords. Defective boundary conditions, partitioned algorithms for the fluid-structure interac-tion, added mass effect, geometrical multiscale approach, Lagrange multipliers, Nitsche method,Optimized Schwarz Method, Large Eddy simulations, cardiovascular parameter estimation, bicus-pid aortic valve, human carotid arteries, abdominal aortic aneurysms, Purkinje network, ExtendedFinite Elements.

Honors and Awards

1. ”Young Researcher Prize” at the 5th European Symposium of Vascular Biomaterials held in Stras-bourg, France, 26 - 27 April 2007. Title of the study: ”Computer modelling of stent implantation:expansion, fluid-dynamics and drug release” by F. Gervaso, C. Capelli, R. Balossino, C. Vergara,P. Zunino and F. Migliavacca;

2. Winner of the prize “Anile - INDAM-SIMAI 2009” for the best Italian Ph.D. thesis in appliedmathematics in the period 2006-2008;

3. Winner of a funding of 1500 Euro for the best research activity at Dipartimento di Ingegneriadell’Informazione e Metodi Matematici, Universita degli Studi di Bergamo. 2011;

4. National scientific qualification as Full Professor in Numerical Analysis, 2016;

5. Winner of the prize “Gian Giacomo Drago e Fausta Rivera Drago 2015/2016 for an under 40researcher who gave important contributions in mathematical methods for medicine”. IstitutoLombardo Accademia di Scienze e Lettere;



Collaborations

2003-onwards. Veneziani A. (Department of Mathematics and Computer Science, Emory University,Atlanta), Formaggia L. (MOX, Dipartimento di Matematica, Politecnico di Milano) and ZuninoP. (MOX, Dipartimento di Matematica, Politecnico di Milano). Defective boundary conditions inincompressible fluid-dynamics and for the fluid-structure interaction problems;

2004-onwards. Formaggia L., Quarteroni A. (MOX, Dipartimento di Matematica, Politecnico di Mi-lano, and CMCS, MATHICSE, Ecole Polytecnique Federale de Lausanne) and Veneziani A. Geo-metric multiscale modeling of the cardiovascular tree;

2005-2010. Redaelli A. (Dipartimento di Bioingegneria, Politecnico di Milano), Ponzini R. (Cineca,Milano), Veneziani A., Parodi O. (ex CNR, Pisa). Flow rate estimation based on Doppler technique;

2006-2009. Zunino P., C. D’Angelo. Mathematical modeling of drug release from stents;

2006-onwards. Nobile F. (CMCS, MATHICSE, Ecole Polytecnique Federale de Lausanne, Switzer-land), Badia S. (Universitat Politica de Catalunya), L. Gerardo-Giorda (Basque Center for AppliedMathematics). Developments and analysis of new algorithms for the fluid-structure interactionproblem;

2007-2011. Domanin M. (MD, Division of Vascular Surgery, Policlinico di Milano), Passerini T., VenezianiA. and Formaggia L. Mathematical modeling of the venous tree;

2008-2009. Corno A. (MD, Alder Hey Children Hospital, Liverpool), Passerini T., Veneziani A., For-maggia L. and Quarteroni A. Numerical study of the assisted Fontan procedure;

2008-onwards. Domanin M., Biondetti G. (MD, Director of Division of Radiology, Policlinico di Mi-lano), Antiga L. (Orobix s.r.l - Bergamo), Piccinelli M., Faggiano E. (University of Pavia, Italy),Morbiducci U. and Gallo D. (Politecnico di Torino). Patient specific computational studies of theblood flow in the abdominal aorta and in the carotids;

2008-onwards. Antiga A., Faggiano E., Luciani G. (MD, Division of Cardio-surgery, Ospedale BorgoTrento, Verona), Puppini G. (MD, Division of Radiology, Ospedale Borgo Trento, Verona), andRedaelli A. Patient specific computational studies of the blood flow in the aorta in presence of abicuspid aortic valve;

2009-2011 Perego M. (Florida State University) and Veneziani A. Parameter estimation in cardiovas-cular mathematics;

2012-onwards Scrofani R. (Cardiosurgery Division, Ospedale Sacco, Milan), Ippolito S. (RadiologyDivision, Ospedale Sacco, Milan). Patient-specific computational studies of stentless aortic valvesand multiple coronary by-passes;

2012-onwards. Catanzariti D. (MD, Division of Cardiology, Ospedale S. Maria del Carmine, Rovereto(TN), Italy), Centonze M. (MD, Director of Division of Diagnostic Radiology, Presidio Ospedalierodi Borgo Valsugana (TN), Italy), Faggiano E., Nobile F. Numerical modelling of the electricalactivity of the heart for the study of the ventricular dyssynchrony;

2012-onwards Gigante G. (Universita degli Studi di Bergamo). Optimized Schwarz Methods for ellipticproblems.

2013-onwards Frangi A. and his group (Sheffield University). Computational electrocardiology withdetailed Purkinje networks;

2014-onwards Bose S. (Institute for Computational and Mathematical Engineering (ICME), StanfordUniversity, Stanford (CA)), Valdettaro L. (MOX, Dipartimento di Matematica, Politecnico di Mi-lano), Quadrio M. (Dipartimento di Ingegneria Aerospaziale, Politecnico di Milano). Large EddySimulation for hemodynamics;

2015-onwards Scardulla C. (ISMETT, Palermo), Pasta S. (Fondazione Ri.MED). Hemodynamics inpresence of Flow Left Ventricular Assist Device.



Working groups

2004 - onwards. Working in the project for the development of the 3D finite element library LIFEV(www.lifev.org). Leading partners: MOX, Dipartimento di Matematica, Politecnico di Milano -CMCS, Ecole Polytecnique Federale de Lausanne (EPFL) - INRIA, Rocquencourt and UniversiteParis-6 - Dept. of Mathematics and Computer Science, Emory University, Atlanta.

International research fellowships

1. Long-term visiting professor (1 month), Istitute Henri-Poincare’, Paris, FR. Research Fellowship givenby Fondation Sciences Mathematiques de Paris, September 2016.

Research visits

1. Department of Aeronautics, Imperial College, London, host of J. Peiro. August 7 - October 7, 2005.

2. Department of Mathematics and Computer Science, Emory University, Atlanta (GA), invited by A.Veneziani. August 31 - September 28, 2008.

3. Department of Mathematics and Computer Science, Emory University, Atlanta (GA), invited by A.Veneziani. September 4 - 19, 2010

4. Centre de Recerca Matematica, Facultat de Ciences UAB, Barcelona, invited by B. Ayuso. January25-30, 2012

5. CMCS, Ecole Polytecnique Federale de Lausanne (EPFL), invited by F. Nobile. November 25-26,2013

6. CMCS, Ecole Polytecnique Federale de Lausanne (EPFL), invited by F. Nobile. December 15-16,2014

Research Funding and Grants

Principal investigator or local coordinator

1. Caritro research project ”Numerical modelling of the electrical activity of the heart for the studyof the ventricular dyssynchrony”. PI: D. Catanzariti. Role: scientific coordinator. Funding agency:CARITRO. Budget: 48,405 Euros. January 2012 - June 2014;

2. GNCS research project ”Algorithms and methods for the fluid-structure interaction problem withapplication to the micro-circulation”. Role: PI. Funding agency: INDAM. Budget: 2,400 Euros.February 2016 - February 2017.

3. H2020-MSCA-ITN-2017, EU project 765374 ”ROMSOC - Reduced Order Modelling, Simulationand Optimization of Coupled systems”. Role: coordinator of the local unit. Funding agency:European Community. Total budget: 2,740,000 Euros. Local budget: 249,000 Euros. StartingSeptember 2017.

Participant

1. INDAM grant ”Integration of Complex Systems in Biomedicine”. PI: A. Quarteroni. Fundingagency: INDAM. Budget: 33,000 Euros. July 2004 - November 2005;

2. Italian research project MIUR PRIN05 - 2005013982-001 “Numerical modeling for scientific com-puting and advanced applications”. PI: A. Quarteroni. Funding agency: MIUR (Italian Ministryof Education, Universities and Research). Budget: 173,000 Euros. January 2006 - January 2008;

3. European Research Training Network H. HPRN-CT-2002-00270 “HAEMODEL”. PI: A. Quarteroni.Funding agency: European Community. Budget: 944,977 Euros. October 2002 - September 2006;

4. Italian research project MIUR PRIN07 - 2007747LH-001 ”Modellistica numerica per il calcolo sci-entifico ed applicazioni avanzate ”. PI: A. Quarteroni. Funding agency: MIUR (Italian Ministry ofEducation, Universities and Research). Budget: 113,520 Euros. September 2008 - September 2010;



5. ERC Advanced Grant N.227058 “MATHCARD”. PI: A. Quarteroni. Role: Support scientist andresponsible of the Task Bioengineering and Clinical Applications. Funding agency: European Com-munity. Budget: 1,810,992 Euros. September 2009 - June 2014;

6. Italian research project MIUR PRIN09 - 2009Y4RC3B 001 ”Modelli numerici per il calcolo scien-tifico ed applicazioni avanzate”. PI: A. Quarteroni. Funding agency: MIUR (Italian Ministry ofEducation, Universities and Research). Budget: 259,978 Euros. October 2011 - October 2013;

7. ERC PoC (Proof of Concept) Grant ”MathToWard”. PI: A. Quarteroni. Role: partecipant. Fund-ing agency: European Community. 2012

8. Italian research project MIUR PRIN12 - 201289A4LX “Modelli matematici e numerici del sistemacardiocircolatorio e loro applicazione in ambito clinico”. PI: A. Quarteroni. Funding agency: MIUR(Italian Ministry of Education, Universities and Research). Budget: 310,120 Euros. March 2014 -March 2017.

9. ERC Advanced Grant N.227058 “iHEART - An integrated heart model for the simulation of thecardiac function”. PI: A. Quarteroni. Funding agency: European Community. Role: Member ofsteering commitee. Budget: 2,350,000 Euros. Starting October 2017.

Funded HPC Projects

1. Lisa Project LI02p-FSIA2. Role: PI. Funding agency: CINECA. Budget: 350k hours. November2013 - November 2014;

2. Lisa Project LI02p-LEScarot. Role: participant. Funding agency: CINECA. Budget: 350k hours.November 2013 - November 2014.

3. Lisa Project LI05p-FSI-CABG. Role: PI. Funding agency: CINECA. Budget: 100k hours. July2016 - July 2017.

Publications

Peer-reviewed Journal Papers

J1. Veneziani A., Vergara, Flow rate defective Boundary Conditions in Haemodynamics Simulations,Int. Journ. Num. Meth. Fluids, 47, pp. 803–816, 2005.

J2. Ponzini R., Vergara C., Redaelli A., Venenziani A., Reliable CFD-based estimation of flow rate inhaemodynamics measures, Ultrasound in Med. and Biol., 32(10), pp. 1545–1555, 2006.

J3. Veneziani A., Vergara C., An approximate method for solving incompressible Navier-Stokes problemwith flow rate conditions, Comp. Meth. Appl. Mech. Eng., 196(9-12), pp.1685-1700, 2007.

J4. Nobile F., Vergara C., An effective fluid-structure interaction formulation for vascular dynamics bygeneralized Robin conditions, SIAM J. Sc. Comp., 30(2), pp. 731-763, 2008.

J5. Vergara C., Zunino P., Multiscale modeling and simulation of drug release from cardiovascularstents, SIAM Multiscale Modeling and Simulation., 7(2), pp. 565-588, 2008.

J6. Badia S., Nobile F., Vergara C., Fluid-structure partitioned procedures based on Robin transmissionconditions, J. Comp. Phys., 227, pp. 7027-7051, 2008.

J7. Formaggia L., Veneziani A., Vergara C., A new approach to numerical solution of defective boundaryproblems in incompressible fluid dynamics, SIAM J. Num. Anal., 46(6), pp. 2769-2794, 2008.

J8. Zunino P., D’Angelo C., Petrini L., Vergara C., Capelli C., Migliavacca F., Numerical simulationof drug eluting coronary stents: mechanics, fluid dynamics and drug release, Comp. Meth. Appl.Mech. Eng., 198(45-46), pp. 3633-3644, 2009.

J9. Badia S., Nobile F., Vergara C., Robin-Robin preconditioned Krylov methods for fluid-structureinteraction problems, Comp. Meth. Appl. Mech. Eng., 198 (33-36), pp. 2768-2784, 2009.

J10. Vergara C., Ponzini R., Veneziani A., Redaelli A., Neglia D., Parodi O., Womersley number-basedestimation of flow rate with Doppler Ultrasound: Sensitivity analysis and first clinical application,Computer Methods and Programs in Biomedicine, 98(2), pp. 151-160, 2010.



J11. Formaggia L., Veneziani A., Vergara C., Flow rate boundary problems for an incompressible fluidin deformable domains: formulations and solution methods, Comp. Meth. Appl. Mech. Eng., 199(9-12), pp. 677-688, 2010.

J12. Ponzini R., Vergara C., Rizzo G., Veneziani A., Redaelli A., Roghi A., Vanzulli A., Parodi O.,Computational Fluid Dynamics-based estimation of blood flow rate in Doppler analysis: In vivovalidation by means of Phase Contrast Magnetic Resonance Imaging, IEEE Transaction on Biomed-ical Engineering, 57 (7), pp. 1807-1815, 2010.

J13. Vergara C., Nitsche’s method for defective boundary value problems in incompressibile fluid-dynamics,Journal of Scientific Computing, 46, pp. 100-123, 2011.

J14. Viscardi F., Vergara C., Antiga L., Merelli S., Veneziani A., Puppini G., Faggian G., Mazzucco A.,Luciani G.B., Comparative finite-element model analysis of ascending aortic flow in bicuspid andtricuspid aortic valve, Artificial Organs, 34(12), pp. 1114-1120, 2010.

J15. Gerardo-Giorda L., Nobile F., Vergara C., Analysis and optimization of Robin-Robin partitionedprocedures in fluid-structure interaction problems. SIAM J. Num. Anal., 48(6), pp. 2091-2116,2010.

J16. Vergara C., Modular algorithms for the numerical solution of the flow rate boundary value problem,Communications in Applied and Industrial Mathematics, 1(1), pp. 237-257, 2010;

J17. Perego M., Veneziani A., Vergara C., A variational approach for estimating the compliance of thecardiovascular tissue: An Inverse fluid-structure interaction problem. SIAM J. Sc. Comp., 33(3),pp. 1181-1211, 2011.

J18. Dubini G. et al., Trends in biomedical engineering: focus on Patient Specific Modeling and LifeSupport Systems. J. Appl. Biomater. Biomech., 9(2), pp. 109 - 117, 2011.

J19. Vergara C., Viscardi F., Antiga L., Luciani G.B., Influence of bicuspid valve geometry on ascendingaortic fluid-dynamics: a parametric study. Artificial Organs, 36(4), pp. 368-378, 2012.

J20. Porpora A., Zunino P., Vergara C., Piccinelli M., Numerical treatment of boundary conditionsto replace lateral branches in haemodynamics. Int. J. Num. Meth. Biomed. Eng., 28(12), pp.1165-1183, 2012.

J21. Formaggia L. and Vergara C., Prescription of general defective boundary conditions in fluid-dynamics. Milan Journal of Mathematics, 80(2), pp. 333-350, 2012.

J22. Nobile F. and Vergara C., Partitioned algorithms for fluid-structure interaction problems in haemo-dynamics. Milan Journal of Mathematics, 80(2), pp. 443-467, 2012.

J23. Formaggia L., Quarteroni A., Vergara C., On the physical consistency between three-dimensionaland one-dimensional models in haemodynamics. Journal of Computational Physics, 244, pp. 97-112, 2013.

J24. Faggiano E., Antiga L., Puppini G., Quarteroni A., Luciani G.B., Vergara C., Helical flows andasymmetry of blood jet in dilated ascending aorta with normally functioning bicuspid valve. Biome-chanics and Modeling in Mechanobiology, 12(4), pp. 801-813, 2013.

J25. Piccinelli M., Vergara C., Antiga L., Forzenigo L., Biondetti P., Domanin M., Impact of hemody-namics on lumen boundary displacements in abdominal aortic aneurysms by means of dynamic com-puted tomography and computational fluid dynamics. Biomechanics and Modeling in Mechanobi-ology, 12(6), pp. 1263-1276, 2013.

J26. Nobile F., Pozzoli M., Vergara C., Time accurate partitioned algorithms for the solution of fluid-structure interaction problems in haemodynamics. Computer and Fluids, 86, pp. 470-482, 2013.

J27. Gigante G., Pozzoli M., Vergara C., Optimized Schwarz Methods for the diffusion-reaction problemwith cylindrical interfaces. SIAM J. Num. Anal., 51(6), pp. 3402-3430, 2013.

J28. Nobile F., Pozzoli M., Vergara C., Inexact accurate partitioned algorithms for fluid-structure inter-action problems with finite elasticity in haemodynamics. Journal of Computational Physics, 273,pp. 598-617, 2014.



J29. Vergara C., Palamara S., Catanzariti D., Pangrazzi C., Nobile F., Centonze M., Faggiano E., MainesM., Quarteroni A., Vergara G., Patient-specific generation of the Purkinje network driven by clinicalmeasurements of a normal propagation. Medical & Biological Engineering & Computing, 52(10),pp. 813–826, 2014.

J30. Palamara S., Vergara C., Catanzariti D., Faggiano E., Centonze M., Pangrazzi C., Nobile F.,Maines M., Quarteroni A., Computational generation of the Purkinje network driven by clinicalmeasurements: The case of pathological propagations. Int. J. Num. Meth. Biomed. Eng., 30(12),pp. 1558–1577, 2014.

J31. Gigante G., Vergara C., Analysis and optimization of the generalized Schwarz method for ellipticproblems with application to fluid-structure interaction. Numer. Math., 131(2), pp. 369–404, 2015.

J32. Palamara S., Vergara C., Faggiano E., Nobile F., An effective algorithm for the generation ofpatient-specific Purkinje networks in computational electro-cardiology. J. Comp. Phys., 283, pp.495–517, 2015.

J33. Bonomi D., Vergara C., Faggiano E., Stevanella M., Conti C., Redaelli A., Puppini G., Faggian G.,Formaggia L., Luciani G.B., Influence of the aortic valve leaflets on the fluid-dynamics in aorta inpresence of a normally functioning bicuspid valve. Biomechanics and Modeling in Mechanobiology,14(6), pp. 1349–1361, 2015.

J34. Guerciotti B., Vergara C., Azzimonti L., Forzenigo L., Buora A., Biondetti P., Domanin M., Com-putational study of the fluid-dynamics in carotids before and after endarterectomy. Journal ofBiomechanics, 49(1), pp. 26–38, 2016.

J35. Vergara C., Lange M., Palamara S., Lassila T., Frangi A.F., Quarteroni A., A coupled 3D-1Dnumerical monodomain solver for cardiac electrical activation in the myocardium with detailedPurkinje network. J. Comp. Phys., 308, pp. 218–238, 2016.

J36. Quarteroni A., Veneziani A., Vergara C., Geometric multiscale modeling of the cardiovascularsystem, between theory and practice. Comp. Meth. Appl. Mech. Eng., 302, pp. 193–252, 2016.

J37. Nestola M.G.C., Faggiano E., Vergara C., Lancellotti R.M., Ippolito S., Filippi S., Quarteroni A.,Scrofani R., Computational comparison of aortic root stresses in presence of stentless and stentedaortic valve bio-prostheses. Computer Methods in Biomechanics and Biomedical Engineering, 20(2),pp. 171-181, 2017.

J38. Guerciotti B., Vergara C., Ippolito S., Quarteroni A., Antona C., Scrofani R., Computational studyof the risk of restenosis in coronary bypasses. Biomechanics and Modeling in Mechanobiology,16(1), pp. 313-332, 2017.

J39. Lange M., Palamara S., Lassila T., Vergara C., Quarteroni A., Frangi A.F., Improved hybrid/GPUalgorithm for solving cardiac electrophysiology problems on Purkinje networks. Int. J. Num. Meth.Biomed. Eng., 33(6), e2835, 2017.

J40. Lancellotti R.M., Vergara C., Valdettaro L., Bose S., Quarteroni A., Large Eddy Simulations forblood fluid-dynamics in real stenotic carotids. Int. J. Num. Meth. Biomed. Eng., 33(11), e2868,2017.

J41. Quarteroni A., Manzoni A., Vergara C., The Cardiovascular System: Mathematical Modeling,Numerical Algorithms, Clinical Applications. Acta Numerica, 26, pp. 365-590, 2017.

J42. Scardulla S., Pasta S., D’Acquisto L., Sciacca S., Agnese V., Vergara C., Quarteroni A., ClemenzaF., Bellavia D., Pilato M., Shear Stress Alterations in the Celiac Trunk of Patients with Continuous-Flow Left Ventricular Assist Device by In-Silico and In-Vitro Flow Analysis. Journal of Heart andLung Transplantation, 36(8), pp. 906-913, 2017.

J43. Domanin M., Buora A., Scardulla F., Guerciotti B., Forzenigo L., Biondetti P., Vergara C., Com-putational fluid-dynamic analysis of carotid bifurcations after endarterectomy: closure with patchgraft versus direct suture. Annals of Vascular Surgery, 44, pp. 325-335, 2017.

J44. Guerciotti B., Vergara C., Ippolito S., Quarteroni A., Antona C., Scrofani R., A computationalfluid-structure interaction analysis of coronary Y-grafts. Medical Engineering & Physics, 47, pp.117-127, 2017.



J45. Vergara C., Le Van D., Quadrio M., Formaggia L., Domanin M., Large Eddy Simulations of blooddynamics in abdominal aortic aneurysms. Medical Engineering & Physics, 47, pp. 38-46, 2017.

J46. Domanin M., Bissacco D., Le Van D., Vergara C., Computational fluid-dynamic comparison betweenpatch-based and direct suture closure techniques after carotid endarterectomy. Journal of VascularSurgery, 67(3), pp. 887-897, 2018.

J47. Zonca S., Vergara C., Formaggia L., An unfitted formulation for the interaction of an Incompressiblefluid with a thick structure via an XFEM/DG approach. SIAM J. Sc. Comp., 40(1), pp. B59–B84,2018.

J48. Landajuela M., Vergara C., Gerbi A., Dede’ L., Formaggia L., Quarteroni A., Numerical approxi-mation of the electromechanical coupling in the left ventricle with inclusion of the Purkinje network.Int. J. Num. Meth. Biomed. Eng., 34, e2984, 2018.

J49. Quarteroni A., Vergara C., Computational models for hemodynamics. Encyclopedia of ContinuumMechanics, doi:10.1007/978-3-662-53605-6 35-1, 2018.

J50. Formaggia L., Vergara C., Zonca S., Unfitted Extended Finite Elements for composite grids. Com-puters and Mathematics with Applications, 76(4), pp. 893-904, 2018.

J51. Gigante G., Vergara C., Optimized Schwarz methods for the coupling of cylindrical geometries alongthe axial direction. Mathematical Modelling and Numerical Analysis (M2AN), 52, pp.1597-1615,2018.

J52. Domanin M., Gallo D., Vergara C., Biondetti P., Forzenigo L.V., Morbiducci U., Prediction of longterm restenosis risk after surgery in the carotid bifurcation by hemodynamic and geometric analysis.Annals of Biomedical Engineering. DOI: https://doi.org/10.1007/s10439-019-02201-8, 2019.

Papers Submitted to peer-reviewed international journals (now Technical Reports)

S1. Antonietti P., Verani M., Vergara C., Zonca S., Numerical solution of fluid-structure interactionproblems by means of a high order Discontinuous Galerkin method on polygonal grids. MOXReport n. 28/2018.

S2. Stella S., Vergara C., Giovannacci L., Quarteroni A., Prouse G., Assessing the disturbed flow andthe transition to turbulence in the arteriovenous fistula. MOX Report n. 51/2018.

Peer-reviewed Conference Proceedings, Lecture Notes, Book Chapters

P1. Fernandez M., Moura A., Vergara C., Defective Boundary Conditions Applied to Multiscale Analysisof Blood Flow, ESAIM ESAIM Proceedings & Surveys, CEMRACS 2004, 14, pp. 89-99, 2005;

P2. Moura A., Vergara C., Flow rate boundary conditions and multiscale modelling of the cardio-vascular system in compliant domains, in Modelling in Medicine and Biology VI, (eds. Ursino,Brebbia, Pontrelli, Magosso), pp. 351-359, related to Sixth International Conference on Modellingin Medicine and Biology, Bologna - September 7-9, 2005;

P3. Veneziani A., Vergara C., Flow Rate Boundary Conditions in Fluid-Dynamics, PAMM Proceedingsin Applied Mathematics and Mechanics (Proceedings of the GAMM meeting 2006, Berlin), 6, pp.35–38, 2006;

P4. Ponzini R., Vergara C., Rizzo G., Veneziani A., Redaelli A., Vanzulli A., Parodi O., Computationalfluid dynamics-based estimation of blood flow rate in Doppler analsys: in vivo validation by meansof phase contrast magnetic resonance imaging, Proceedings of the ASME summer conference, pp.227-228, 2009;

P5. Arimon A., Balossino R., D’Angelo C., Doorly D., Dubini G., Fernandez M., Gerbeau J.F.,GiordanaS., Migliavacca F., Pennati G., Peiro’ J., Prosi M., Sherwin S., Vergara C., Vidrascu M., ZuninoP.,Applications and test cases, in Cardiovascular Mathematics, Formaggia L., Quarteroni A., VenezianiA. eds., Springer, 2009;

P6. D’Elia M., Mirabella L.,Passerini T., Perego M., Piccinelli M., Vergara C., Veneziani A., Applica-tions of variational data assimilation in computational hemodynamics, in Modeling of PhysiologicalFlows, Ambrosi D., Quarteroni A., Rozza G. eds., Springer, 2011.



P7. Pozzoli M., Vergara C., Nobile F., Efficient algorithms for the solution of fluid-structure interactionproblems in haemodynamic applications, Proceedings of the Conference Numerical Methods forHyperbolic Equations Theory and Applications, Santiago de Compostela, Taylor and Francis group,pp. 355-364, 2012;

P8. Gigante G., Vergara C., Optimized Schwarz method for the fluid-structure interaction with cylin-drical interfaces. Domain Decomposition Methods in Science and Engineering XXII - Lecture Notesin Computational Science and Engineering - Proceedings of the 22nd International Conference onDomain Decomposition Methods, 104, pp. 521-529, 2016.

P9. Lange M., Palamara S., Lassila T., Vergara C., Quarteroni A., Frangi A.F., Efficient NumericalSchemes for Computing Cardiac Electrical Activation over Realistic Purkinje Networks: Methodand Verification, in ”Functional Imaging and Modeling of the Heart”, Proceedings of the 8th Inter-national Conference, FIMH 2015, Springer, pp. 430-438, 2015.

P10. Guerciotti B., Vergara C., Computational comparison between Newtonian and non-Newtonianblood rheologies in stenotic vessels. In ”Biomedical Technology”, Lecture Notes in Applied andComputational Mechanics 84 (P. Wriggers and T. Lenarz eds.), Springer, pp. 169-183, 2018.

P11. Vergara C., Zonca S., Extended Finite Elements method for fluid-structure interaction with animmersed thick non-linear structure. In ”Mathematical and Numerical Modeling of the Cardiovas-cular System and Applications”, SEMA SIMAI Springer Series (D. Boffi, L. Pavarino, G. Rozza, S.Scacchi, C. Vergara eds.), pp. 209-243, 2018.

P12. Formaggia L., Vergara C., Defective boundary conditions for PDEs with applications in haemody-namics. In ”Numerical Methods for PDEs”, SEMA SIMAI Springer Series (D. Di Pietro, A. Ern,L. Formaggia eds.), 15, pp. 285-312, 2018.

P13. Quarteroni A., Vergara C., Landajuela M., Mathematical and Numerical Description of the HeartFunction. In ”Imagine Math 6” (M. Emmer and M. Abate eds.), Springer, pp. 171-177, 2018.

Peer reviewed Abstracts and Short Communications

C1. Balossino R., Migliavacca F., Pennati G., Dubini G., Vergara C., Formaggia L., Venenziani A.,Multiscale Models of the Cardiovascular System Applied to the Study of the Flow in a CarotidBifurcation, In Technological innovation and evaluation of medical devices for the cardiovascularsystem, Rapporti Istisan, 05/46, 2004;

C2. Vergara C., Modellazione numerica di problemi con condizioni al contorno deficitarie in fluidodi-namica incomprimibile, Bollettino della Unione Matematica Italiana A, 10(2), pp. 371-374, 2007;

C3. Ponzini R., Vergara C., Veneziani A., Redaelli A., Design of new reliable CFD-based estimation offlow rate in haemodynamics measures, Journal of Biomechanics, (41), Supplement 1, page S214,2008;

C4. Ponzini R., Vergara C., Veneziani A., Redaelli A., Design of new reliable CFD-based estimation offlow rate: Early in-vivo results, Computers in Cardiology, pp. 953-955, 2008;

C5. Ponzini R., Rizzo G., Vergara C., Veneziani A., Morbiducci U., Montevecchi F.M., Redaelli A.,Computational modeling of local hemodynamics phenomena: Methods, tools and clinical applica-tions, Nuovo Cimento C della Societa’ Italiana di Fisica - Colloquia on Physics, 32(2), pp. 77-80,2009;

C6. Corno A., Vergara C., Subramanian C., Johnson R.A., Passerini T., Veneziani A., Formaggia L.,Alphonso N., Quarteroni A., Jarvis J.C., Assisted Fontan procedure: animal and in vitro modelsand computational fluid dynamics study, Interactive CardioVascular and Thoracic Surgery, 10, pp.679-684, 2010;

C7. Luciani G.B., Antiga L., Puppini G., Viscardi F., Faggian G., Mazzucco A., Vergara C., Commis-sure Orientation Influences Aortic Aneurysm Morphology in Normally Functioning Bicuspid AorticValves: A Parametric, Computational Fluid Dynamic Study. Circulation. In: Abstracts FromScientific Sessions 2011. Orlando, USA, 13-15.11.2011, vol. 124(21 S);



Editorials

E1. Veneziani A., Vergara C., Inverse problems in Cardiovascular Mathematics: toward patient-specificdata assimilation and optimization, Editorial of the special issue ”Inverse Problems in Cardiovascu-lar Mathematics”, International Journal for Numerical Methods in Biomedical Engineering, 29(7),pp. 723-725, 2013.

Letters to Editors

L1. Domanin M., Vergara C., Regarding ”closure technique after carotid endarterectomy influenceslocal hemodynamics”, Journal of Vascular Surgery, 63(5), p. 1409, 2016.

H-index and citation overview (Source Scopus, December 2018)

- H-index = 18;

- Total number of documents = 63;

- Total number of citations = 1094;

- Total number of citations excluding self citations of all authors = 699.

4 Popularization of the research

Contributions at Conferences and Workshops

Plenary lectures

1. Computational studies of haemodynamics in ascending aorta and human carotids. 1st UK NationalConference on Patient-Specific Modelling (PSM) and Translational Research, Cathays Park, CardiffUniversity, UK, January 9-10, 2013.

Invited Lectures in Workshops and Symposia

1. Defective boundary conditions in incompressible fluid-dynamics with applications. Lecture withinthe workshop “SIMAI Giovani 2009”. Roma, Italy, October 9, 2009.

2. Computational description of human arterial and venous systems: examples of possible applica-tions. Lecture within the workshop “Venous hemodynamics: medical problems and mathematicalmodelling”, organized by E. Toro. Trento, Italy, October 25-26, 2011.

3. Robin interface conditions for fluid-structure interaction in haemodynamics. Lecture within the“International workshop on numerical methods and applications in fluid-structure interactions”,organized by G.H. Cottet, M.A. Fernandez, J.F. Gerbeau, E. Maitre. Grenoble, France, November24-25, 2014.

4. Fluid-structure interaction and large eddy simulations for complex blood flow scenarios. Lecturewithin the symposium ”Simulation and Optimization of Extreme Fluids”, organized by T. Richter,B. Vexler, D. Meidner, S. Frei, R. Rannacher. Internationales Wissenschaftsforum Heidelberg,Germany, October 10-12, 2016.

Invited Talks in Minisymposia of International Conferences

1. Defective boundary conditions in fluid-dynamics: Algorithms and simulations. Talk within theminisymposium “Numerical analysis of partial differential equations”, organized by S. Bartels andM. Verani, 77th Annual Meeting of the Gesellschaft fur Angewandte Mathematik und Mechanik(GAMM), Technische Universitat Berlin, March 27-31, 2006.

2. Effective techniques for realistic fluid-structure interaction simulations. Talk within the minisym-posium “Computational vascular and cardiovascular mechanics”, organized by Y. Bazilevs, C.A.Taylor, T.J.R. Hughes and V. Calo, X US National Congress on Computational Mechanics, Colum-bus (OH), USA, July 16-19, 2009.



3. Estimation of the vascular compliance by means of a fluid-structure interaction optimization prob-lem. Talk within the minisymposium “Computational fluid-structure interaction and multi-materialproblems”, organized by M. Fernandez, G. Scovazzi and W. Wall, IV European Conference on Com-putational Mechanics (ECCM), Paris, France, May 16-21, 2010.

4. Efficient algorithms for the solution of fluid-structure interaction problems in haemodynamic appli-cation. Talk within the minisymposium “Methods and models for biomedical problems”, organizedby E. Toro, Numerical Methods for Hyperbolic Equations Theory and Applications, Santiago deCompostela, Spain, July 4-8, 2011.

5. A variational approach for estimating the compliance of cardiovascular tissues. Talk within theminisymposium “Inverse Problems in Cardiovascular Mathematics”, organized by M. Perego andA. Veneziani, VII International Congress on Industrial and Applied Mathematics (ICIAM 2011),Vancouver, Canada, July 18-22, 2011.

6. Partitioned algorithms for fluid-structure interaction problems with finite elasticity in haemody-namics. Talk within the minisymposium “Numerical methods and applications of multi-physicsin biomechanical modeling”, organized by Michler, D. Nordsletten, C.A. Figueroa, Y. Bazilevs, A.Quarteroni, VI European Congress on Computational Methods in Applied Sciences and Engineering(ECCOMAS 2012), Wien, Austria, September 10-14, 2012.

7. Computational study of haemodynamics in ascending aorta in presence of a bicuspid valve. Talkwithin the minisymposium “Numerical Simulation of Cardiovascular Devices & Procedures”, orga-nized by F. Auricchio, M. Conti, S. Morganti, A. Reali, A. Veneziani, III International Conferenceon Computational and Mathematical Biomedical Engineering (COMPBIOMED 2013), Hong Kong,December 16-18, 2013.

8. Efficient algorithms for the solution of fluid-structure interaction with finite elasticity. Talk withinthe minisymposium “Mathematical and numerical modeling of the cardiovascular system”, orga-nized by P. Colli Franzone, L. Pavarino, S. Scacchi, 18th European Conference on Mathematics forIndustry (ECMI 2014), Taormina (ME), Italy, June 9-13, 2014.

9. Robin-Robin partitioned procedures for fluid-structure interaction problems in haemodynamics.Talk within the minisymposium “Innovative methods for fluid structure interaction”, organized byT. Kvamsdal, H. van Brummelen, R. Ohayon, 11th World Congress on Computational Mechanics(WCCM XI) - 5th European Conference on Computational Mechanics (ECCM V) - 6th EuropeanConference on Computational Fluid-dynamics (ECFD VI), Barcelona, Spain, July 21-25, 2014.

10. Computational study of fluid-dynamics in ascending aorta in presence of a normally functioning bi-cuspid valve. Lecture with the “11th International Conference on Pediatric Mechanical CirculatorySupport Systems and Pediatric Cardiopulmonary Perfusion”, Verona, Italy, June 11-13, 2015

11. Defective boundary conditions in hemodynamics: formulations and applications. Talk within theminisymposium “Boundary Challenges in Clinically Relevant Flow Simulations”, organized by C.Bertoglio, A. Caiazzo, I.E. Vignon-Clementel, IV International Conference on Computational andMathematical Biomedical Engineering (COMPBIOMED 2015), Cachan, France, June 29 - July 1,2015

12. Numerical Investigation of the Fluid-Dynamics in Carotids before and after the Plaque Removal.Talk within the minisymposium “Advanced Modeling Strategies for Physiological Flows and MedicalDevices”, organized by L. Pauli and M. Behr, II International Conference on Biomedical Technology(ICBT 2015), Hannover, Germany, October 28-30, 2015

13. Numerical modeling of the electrical activity in the ventricles in presence of detailed Purkinje fibers.Talk within the ”Diderot Mathematical Forum 2016: Biomedical Applications of Mathematics(Paris, Madrid, Milan)”. March 15, 2016.

14. Numerical modeling of the electrical activity in the ventricles in presence of detailed Purkinje fibers.Talk within the minisymposium “Mathematical and Numerical Modeling of the Heart”, oragnizedby L. Dede, L. Pavarino, A. Quarteroni, ECCOMAS 2016, Crete, Greek, June 5-10, 2016

15. Optimized Schwarz methods with cylindrical and spherical interfaces. Talk within the minisympo-sium “Numerical methods for multiphysics and coupled problems”, organized by D. Boffi and L.Gastaldi, MAFELAP 2016, Brunel Univ, England, June 14-17, 2016



16. Optimized Schwarz methods for non-standard geometric interfaces configurations. Talk within theminisymposium “Optimized transmission conditions in domain decomposition methods”, organizedby M. Gander and Y. Xu, 24nd International Conference on Domain Decomposition Methods(DD24), Svalbard, Norway, February 6-10, 2017

17. Numerical modeling of the electrical activity in the ventricles in presence of detailed Purkinjefibers. Talk within the minisymposium “Direct and Inverse Problems in Cardiac Electrophysiology”,organized by F. Fenton, A. Veneziani. SIAM Conference on Computational Science and Engineering(CSE), Atlanta, USA, February 27-March 3, 2017

18. Numerical modeling of the electrical activity in the ventricles in presence of detailed Purkinjefibers. Talk within the minisymposium “Biomechanics, Mechanobiology And Translation In TheHeart”, organized by D. Chapelle, J. Lee, X. Luo, E. Kuhl, D. Nordsletten, A. Quarteroni, M.Vasquez. V International Conference on Computational and Mathematical Biomedical Engineering(COMPBIOMED 2017), Pittsburgh, April 10-12, 2017

19. Numerical modeling of the electromechanical activity of the left ventricle with inclusion of thePurkinje network. Talk within the minisymposium ”‘Computational soft tissue cardiac mechanics”’,organized by X. Luo, D. Nordsletten, R. Ogden, G. Holzapfel, G. Boyce Eugene. ECCM-ECFD2018, Glasgow, June 11-15, 2018

20. Numerical modeling of the electromechanical activity of the left ventricle with inclusion of thePurkinje network. Talk within the minisymposium ”‘Cardiac Mechanics and Heart Modeling”’,organized by S. Goktepe and D. Hurtado. 8th World Congress on Biomechanics (WCB 2018),Dublin, July 8-12, 2018

21. Mathematical and numerical modeling of the heart function. Talk within the minisymposium ”‘Car-diac biomechanics: when heart meets the blood”’, organized by G. Pedrizzetti and A. Kheradvar.SES 2018, 55th Technical Annual Meeting, Madrid, October 10-12, 2018

Contributed Talks

1. Condizioni al bordo deficitarie in simulazioni emodinamiche: modellazione matematico-numerica diproblemi di emodinamica con flussi imposti. XVII Congresso UMI, Milano, September 12, 2003.

2. Defective boundary conditions in haemodynamics simulations. VII SIMAI Biannual Conference,Venezia, September 24, 2004.

3. Defective boundary conditions in haemodynamics simulations. Integrazione di sistemi complessi inbiomedicina: modelli, simulazioni, rappresentazioni - Progetto Integruppo INDAM 2004, Bergamo,Italy, November 22-23, 2004.

4. Recent developments on defective boundary conditions in haemodynamics simulations. II Inter-national Symposium “Modelling of Physiological Flows”, Sesimbra, Portugal, March 31-April 2,2005.

5. Inexact algorithm for the flow rate boundary problem in incompressible fluid-dynamics and ap-plication to haemodynamics measures. III International Symposium “Modelling of PhysiologicalFlows”, Bergamo, Italy, September 25-27, 2006.

6. Inexact algorithm for the flow rate boundary problem in incompressible fluid-dynamics and appli-cation to haemodynamics measures. SIMAI - Prospettive di sviluppo della matematica in Italia,Parma, Italy, May 18-19, 2007.

7. Fluid-structure algorithms based on Robin transmission conditions. II GACM, Colloquium onComputational Mechanics, Technical University of Munich, Germany, October 10-12, 2007.

8. Flow rate boundary value problems in fluid-dynamics with applications to the cardiovascular system.V European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS2008), VIII World Congress on Computational Mechanics (WCCM 2008), Venice, Italy, June 30-July 4, 2008.

9. Flow rate boundary conditions in fluid-structure interaction problems. Coupled Problems 2009,ECCOMAS Thematic Conference, Ischia Island (NA), Italy, June 8-10, 2009.



10. Effective techniques for realistic fluid-structure interaction simulations. I International Conferenceon Computational and Mathematical Biomedical Engineering (COMPBIOMED 2009), Swansea,UK, June 29-1 July, 2009.

11. Analysis and applications of fluid-structure interaction problems based on Robin interface condi-tions. X SIMAI Biannual Congress 2010, Cagliari, Italy, June 21-25, 2010.

12. A variational approach for estimating the compliance of cardiovascular tissues. XVI InternationalConference on Finite Elements in Flow Problems (FEF 2011), Munchen, Germany, March 23-25,2011.

13. Efficient treatments of interface conditions and interface position in fluid-structure interaction prob-lems. II International Conference on Computational and Mathematical Biomedical Engineering(COMPBIOMED 2011), Washington, DC, USA, March 30-April 1, 2011.

14. Time accurate algorithms for the solution of fluid-structure interaction problems in haemodynamicapplications. Simulation and Modeling of Biological Flows (SIMBIO 2011), ECCOMAS ThematicConference, Bruxelles, Belgium, September 21-23, 2011.

15. Numerical study of the fluid-dynamics in carotids of real patients before and after the plaqueremoval. Workshop on ”Theoretical approaches and related mathematical methods in biology andmedicine”, L’Aquila, Italy, November 30 - December 2, 2011.

16. Partitioned algorithms for the numerical solution of fluid-structure interaction in haemodynamics.One day workshop “The cardiac tissue: modelling and equations”, Universita Cattolica, Brescia,Italy, May 5, 2012.

17. Partitioned algorithms for the numerical solution of fluid-structure interaction in haemodynamics.SIAM Annual Meeting, Minneapolis, MN, USA, July 9-13, 2012.

18. Optimized Schwarz Methods for domains with cylindrical interfaces. 22nd International Conferenceon Domain Decomposition Methods (DD22), Lugano, Switzerland, September 16-20, 2013.

19. Coupling problems in computational electrocardiology in presence of detailed Purkinje fibers. 2ndInternational Workshop on Latest Advances in Cardiac Modeling (LACM 2015), Munchen, Ger-many, March 12-13, 2015.

Invited Seminars

1. Partitioned procedures for fluid-structure interaction problems. Department of Mathematics andComputer Science, Emory University, Atlanta, GA, USA, September 24, 2008.

2. One-dimensional reduced models for the cardiovascular system: clinical-oriented tools and applica-tions. Dipartimento di Ingegneria Civile e Ambientale, Univerisita degli Studi di Trento, Italy, July26, 2010.

3. Coupling algorithms for the fluid-structure interaction problem with applications to haemodynam-ics. Dipartimento di Ingegneria Civile e Ambientale, Univerisita degli Studi di Trento, Italy, July26, 2010.

4. The fluid-structure interaction problem in fixed domain: the monolithic formulation. Departmentof Mathematics and Computer Science, Emory University, Atlanta, GA, USA, September 8, 2010.

5. The fluid-structure interaction problem with large deformation: the Dirichlet-Neumann scheme. De-partment of Mathematics and Computer Science, Emory University, Atlanta, GA, USA, September15, 2010.

6. La matematica del sistema cardiovascolare: fondamenti di interazione fluido-struttura. Diparti-mento di Ingegneria Aerospaziale, Universita degli Studi di Napoli, June 7, 2011.

7. Partitioned algorithms for the numerical solution of the fluid-structure interaction problem inhaemodynamics. Centre de Recerca Matematica, Facultat de Ciences UAB, Barcelona, Spain,January 27, 2012.

8. The mathematics and the computational methods in medicine: quantitative answers to clinicalproblems. Universita di Trento, Italy, June 1, 2016.



9. The computational mathematics in medicine: quantitative answers to clinical problems. IstitutoLombardo Accademia di Scienze e Lettere, Milan, June 23, 2016.

10. The computational mathematics in medicine: quantitative answers to clinical problems. SeminarFDS, Dipartimento di Matematica, Politecnico di Milano, January 31, 2018

Organization of events

Organization and Scientific Commettee Member of Workshops and Conferences

1. Organizer of the workshop “Stents a Rilascio di Farmaco. Aspetti clinici e tecnologici”, MOX,Dipartimento di Matematica, Politecnico di Milano, May 9, 2007. Co-organizers: F. Gervaso andP. Zunino;

2. Scientific commettee member of the symposium “Frontier Biomechanical Challenges in Cardiovas-cular Physiopathology”, Palermo, Italy, September 8-9, 2016;

3. Local organizing commettee member of XIII SIMAI (Italian Society of Mathematics Applied toIndustry) Biannual Conference 2016, Milan, Italy, September 13-16, 2016;

4. Organizer of the PRIN workshop and conference in honor of Piero Colli Franzone “Mathematicaland Numerical Modeling of the Cardiovascular System and Applications”, Pavia, Italy, February21-22, 2017. Co-organizers: D. Boffi, L. Pavarino, G. Savare, S. Scacchi;

5. Organizer of the INDAM workshop ”Mathematical and Numerical Modeling of the CardiovascularSystem”, Roma, April 16-19, 2018. Co-organizers: L. Pavarino, G. Rozza, S. Scacchi;

6. Programme Committee member for the ”6th International Confercence on Computational andMathematical Biomedical Engineering (CMBE19)”, Tohoku University, Sendai City, Japan, June10-12, 2019.

Organizator of Mini-symposia within international conferences

1. Organizer of the minisymposium “Coupled problems in fluid mechanics and fluid-structure inter-action”, X SIMAI Biannual Conference 2010, Cagliari, Italy, June 21-25, 2010. Co-organizers: S.Badia, F. Nobile and J. Principe;

2. Organizer of the minisymposium “Recent developments on modelling fluid-structure interactionproblems in haemodynamics”, 2nd International Conference on Computational and MathematicalBiomedical Engineering (Compbiomed 2011), Washington, DC, USA, March 30-April 1, 2011. Co-organizers: L. Formaggia and F. Nobile;

3. Organizer of the minisymposium “Inverse cardiovascular mathematics”, 2nd International Confer-ence on Computational and Mathematical Biomedical Engineering (Compbiomed 2011), Washing-ton, DC, USA, March 30-April 1, 2011. Co-organizer: A. Veneziani;

4. Organizer of the minisymposium “Computational and statistical methods for biomedical applica-tions”, XI SIMAI Biannual Conference 2012, Torino, Italy, June 25-28, 2012. Co-organizer: L.Sangalli;

5. Organizer of the minisymposium “Multi-physics Modeling & Applications of the CardiovascularSystem”, 3rd International Conference on Computational and Mathematical Biomedical Engineer-ing (Compbiomed 2013), Hong Kong, Decemeber 16-18, 2013. Co-organizers: M. Behr, A. Figueroa,L. Formaggia, J.F. Gerbeau;

6. Organizer of the minisymposium “Numerical methods for coupling problems”, XII SIMAI BiannualConference 2014, Taormina (ME), Italy, July 07-10, 2014. Co-organizer: M. Discacciati;

7. Organizer of the minisymposium “Advanced computational methods for applications to the cardio-vascular system”, PASC 2016 Conference, Lausanne, Switzerland, June 08-10, 2016. Co-organizers:S. Deparis and D. Obrist.

8. Organizer of the minisymposium “Mathematical and numerical modeling of heart functioning andsystemic circulation”, XIII SIMAI Biannual Conference 2016, Milan, Italy, September 13-16, 2016.Co-organizers: L. Dede, A. Manzoni, S. Scacchi.



9. Organizer of the minisymposium “Mathematical and numerical modeling of the heart Function”, 6thInternational Confercence on Computational and Mathematical Biomedical Engineering (CMBE19),Tohoku University, Sendai City, Japan, June 10-12, 2019. Co-organizers: D. Nordsletten and R.Sebastian.

5 Student Advising

Post-Doctoral Students and Research Fellows

1. January 1st - December 31st, 2012. M. Pozzoli, Universita degli Studi di Bergamo. Title of theresearch: Numerical methods for the fluid-structure interaction problem in computational haemo-dynamics;

2. April 15th, 2016 - April 14th, 2018. M. Landajuela. Topic of the research: Electrical activity ofthe ventricles and clinical applications;

3. July 1st, 2017 - October 31th, 2018. S. Stella. Topic of the research: Computational blood dynamicsin arteriovenous fistulae. Funded by Ospedale Regionale di Lugano, Switzerland.

4. February 1st, 2018 - onwards. S. Zonca. Topic of the research: Unfitted numerical methods forfluid-structure interaction with application to valve dynamics.

Advisor of PhD Students

1. January 1st, 2009 - March 31st, 2012. M. Pozzoli. Thesis title: Efficient partitioned algorithmsfor the solution of fluid-structure interaction problems in haemodynamics, Ph.D in MathematicalModels and Methods in Engineering, Dipartimento di Matematica, Politecnico di Milano. Otheradvisor: F. Nobile;

2. January 1st, 2012 - February 28th, 2015. S. Palamara. Thesis title: Numerical approximation of theelectrical activity in the left ventricle with the inclusion of Purkinje fibers, Ph.D in MathematicalModels and Methods in Engineering, Dipartimento di Matematica, Politecnico di Milano. Otheradvisor: A. Quarteroni;

3. November 1st, 2012 - October 31st, 2015. M. Lancellotti. Thesis title: Large Eddy simulationsin haemodynamics: models and applications, Ph.D in Mathematical Models and Methods in Engi-neering, Dipartimento di Matematica, Politecnico di Milano. Other advisor: A. Quarteroni;

4. November 1st, 2014 - January 2017. B. Guerciotti, Ph.D in Mathematical Models and Methods inEngineering, Dipartimento di Matematica, Politecnico di Milano. Topic of the thesis: Numericalmodelling and simulations of the fluid-dynamics in coronary by-passes.

5. November 1st, 2014 - October 31st, 2017. S. Zonca. Thesis title: Unfitted numerical methods forfluid-structure interaction arising between an incompressible fluid and an immersed thick struc-ture, Ph.D in Mathematical Models and Methods in Engineering, Dipartimento di Matematica,Politecnico di Milano. Other advisor: L. Formaggia;

6. November 1st, 2017 - onwards. S. Pozzi. Topic of the research: Numerical model integratedwith pc-mri radiological data for the development of the atheromasic plaque in carotids. Ph.D inMathematical Models and Methods in Engineering, Dipartimento di Matematica, Politecnico diMilano. Other advisors: A. Redaelli, E. Votta, P. Zunino.

7. November 1st, 2017 - onwards. S. Di Gregorio. Topic of the research: Mathematical and numericalmodels for the cardiac perfusion. Ph.D in Mathematical Models and Methods in Engineering,Dipartimento di Matematica, Politecnico di Milano. Other advisor: A. Quarteroni.

8. March 2018 - onwards. M. Martinolli. Topic of the research: Numerical methods for fluid-structureinteraction in cardiac pumps. Ph.D in Mathematical Models and Methods in Engineering, Dipar-timento di Matematica, Politecnico di Milano. In collaboration with Corwave, Paris.



9. November 1st, 2018 - onwards. S. Stella. Topic of the research: Mathematical and numerical modelsfor the Cardiac Resynchronization Therapy in cardiac electro-physiology. Ph.D in MathematicalModels and Methods in Engineering, Dipartimento di Matematica, Politecnico di Milano. Otheradvisor: F. Nobile.

10. November 1st, 2018 - onwards. R. Piersanti. Topic of the research: Mathematical and numeri-cal models for right heart function. Ph.D in Mathematical Models and Methods in Engineering,Dipartimento di Matematica, Politecnico di Milano. Other advisor: A. Quarteroni.

Advisor for Master Thesis

1. M. Pozzoli, Simulazioni numeriche per l’interazione fluido-struttura in emodinamica computazionale,MSc in Mathematical Engineering, Politecnico di Milano, Academic year ’07-’08. Other advisor:F. Nobile.

2. C. Calı, Superifici di suddivisione per la progettazione assistita al calcolatore: aspetti analitici,implementazione e studio di fattibilita’, MSc in Information Engineering, Universita degli Studi diBergamo, Academic year ’09-’10.

3. P. Ghilardi, Computational solution of fluid-structure interaction in human carotids: A comparisonbefore and after the plaque removal, MSc in Mechanical Engineering, Universita degli Studi diBergamo, Academic year ’11-’12.

4. M. Lancellotti, Numerical Computations of Deflated Vascular Geometries for Fluid-Structure In-teraction in Haemodynamics, MSc in Aerospace Engineering, Universita degli Studi di Napoli,Academic year ’11-’12. Other advisor: S. De Rosa

5. D. Bonomi, Numerical study of the influence of aortic valve leaflets in the fluid-dynamics in ascend-ing aorta, MSc in Mathematical Engineering, Politecnico di Milano, Academic year ’12-’13. Otheradvisor: L. Formaggia.

6. E. Orso, Analisi computazionale dell’interazione fluido-struttura in aorta ascendente con valvolaaortica stentless, MSc in Biomedical Engineering, Politecnico di Milano, Academic year ’12-’13.Other advisor: P.F. Antonietti.

7. B. Guerciotti, Computational comparison of haemodynamics in carotid arteries before and afterendarterectomy, MSc in Biomedical Engineering, Politecnico di Milano, Academic year ’13-’14

8. D. Le Van, Fluid Dynamics in an Abdominal Aortic Aneurysm with Large Eddy Simulation andBackflow Stabilization, MSc in Aerospace Engineering, Politecnico di Milano, Academic year ’15-’16. Other advisor: L. Formaggia.

9. S. Stella, Computational study of the influence of the pressure guide wire on the coronary pressure,MSc in Mathematics, Universita degli Studi di Trento, Academic year ’16-’17. Other advisor: G.Rosatti.

10. A. Tecchio, Pressure variations in real stenotic coronaries: a computational study, MSc in Mathe-matics, Universita degli Studi di Trento, Academic year ’16-’17. Other advisor: G. Rosatti.

11. L. Magrı, Analisi computazionale degli effetti di flusso elicoidale in aorta ascendente, MSc inBiomedical Engineering, Politecnico di Milano, Academic year ’15-’16.

12. V. Carini, A computational fluid structure interaction study in internal jugular veins subjected togravity, MSc in Biomedical Engineering, Politecnico di Milano, Academic year ’16-’17.

13. M. Zerbini, Fractional Flow Reserve estimation in stenotic coronaries: a computational study ofthe influence of the pressure guidewire, MSc in Mathematics, Universita degli Studi di Trento,Academic year ’17-’18. Other advisor: G. Rosatti.

14. R. Piersanti, Turbulence Large Eddy Simulations in Abdominal Aortic Aneurysm, MSc in Physics,Universita degli Studi di Parma, Academic year ’16-’17. Other advisors: A. Aimi, L. Dede’, L.Romano’, L. Valdettaro.

15. P. Pretti, A computational study of the effect of the guide wire on the pressure drop in coronarystenosis, MSc in Mathematics, Universita’ degli Studi di Trento, Academic year ’17-’18. Otheradvisor: G. Rosatti.



16. F. Stagni, Studio computazionale dell’influenza della fluidodinamica sulla crescita di aneurismiaddominali, MSc in Biomedical Engineering, Politecnico di Milano, Academic year ’17-’18.

17. G. Piazzoli, Endovascular Abdominal Aneurysm Repair outcomes: image-based analysis of stent-graft displacements and computational fluid-dynamics, MSc in Biomedical Engineering, Politecnicodi Milano, Academic year ’17-’18.

Advisor for Bachelor Thesis

1. A. Galeazzi, Modellazione matematica del sistema venoso delle gambe umane, BSc in MathematicalEngineering, Politecnico di Milano, Academic year ’07-’08. Other advisor: L. Formaggia.

2. A. Mencarelli, A. Meschini, Modelli di interazione fluido-membrana e applicazioni in ambito aero-dinamico, BSc in Aerospace Engineering, Politecnico di Milano, Academic year ’08-’09. Otheradvisor: M. Verani.

3. G. Sandrini, Modellazione matematica del sistema venoso degli arti inferiori, BSc in MathematicalEngineering, Politecnico di Milano, Academic year ’08-’09. Other advisor: L. Formaggia.

4. M. Beccaria, M. Haile, Modellazione matematico-numerica dell’operazione Fontan assistita, BScin Mathematical Engineering, Politecnico di Milano, Academic year ’09-’10. Other advisor: L.Formaggia.

5. C. Fiorini, F. Gasperoni, Modellazione matematico-numerica del sistema venoso cerebrale e degliarti inferiori, BSc in Mathematical Engineering, Politecnico di Milano, Academic year ’11-’12. Otheradvisor: L. Formaggia.

6. S. Savare, Studio computazionale di ottimizzazione della stimolazione nella terapia di risincroniz-zazione cardiaca, BSc in Mathematical Engineering, Politecnico di Milano, Academic year ’13-’14.Other advisor: L. Formaggia.

7. F. Filippini, Studio basato su immagini mediche dell’evoluzione geometrica di un aneurisma dell’aortaaddominale in seguito a trattamento endovascolare, BSc in Mathematical Engineering, Politecnicodi Milano, Academic year ’16-’17.

Co-Advisor for Bachelor/Master Thesis

1. T. Passerini, Modelli multiscala per il sistema circolatorio: accoppiamento numerico di modelli tridi-mensionali e monodimensionali, MSc in Biomedical Engineering, Politecnico di Milano, Academicyear ’04-’05. Advisor: A . Veneziani.

2. A. Costa, Modellazione numerica di distretti venosi a partire da modelli matematici monodimen-sionali, MSc in Biomedical engineering, Politecnico di Milano, Academic year ’05-’06. Advisor: A.Veneziani.

3. S. Carcano and M. Cogliati, Modelli ed algoritmi per lo studio dell’interazione fluido-strutturain emodinamica, BSc in Mathematical Engineering, Politecnico di Milano, Academic year ’06-’07.Advisor: F. Nobile.

4. A. Bugada, Modellazione monodimensionale di vasi sanguigni con effusione laterale, BSc in Math-ematical Engineering, Politecnico di Milano, Academic year ’07-’08, Advisor: L. Formaggia.

5. S. Merelli, Studio dell’emodinamica nell’ aorta ascendente in pazienti con valvola aortica bicuspide,BSc in Informatic Engineering, University of Bergamo, Academic year ’08-’09. Advisor: A. Remuzzi.Other co-advisor: L. Antiga.

6. G. Scuderi, Numerical study of the coupling between heterogeneous models in computational haemo-dynamics, MSc in Mathematics, Universita di Milano Bicocca, Academic year ’10-’11. Advisors:A. Russo and L. Formaggia



6 Editorial, Refereeing, and Commissioner Activity

Editor for special issues in peer-reviewed journals and Lecture Notes

1. Inverse Problems in Cardiovascular Mathematics, Int. J. Num. Meth. Biomed. Eng., 29(7), 2013.Co-editor: A. Veneziani;

2. Mathematical and Numerical Modelling of the Cardiovascular System and Applications, SEMASIMAI Springer Series. Co-editors: D. Boffi, L. Pavarino, G. Rozza, S. Scacchi, 2018.

3. Advances in Cardiovascular Modeling and Simulation, Int. J. Num. Meth. Biomed. Eng.. Co-editors: L. Pavarino, G. Rozza, S. Scacchi. To appear.

Member of committees for academic positions

1. Member of the committee for the comparative selection of an assistant professor position in numer-ical analysis, Dipartimento di Matematica, University of Trento, autumn 2018.

Referee for funding agencies

1. Reviewer for the Executive Board of the Austrian Science Fund (1 project);

2. Reviewer for the National Science Center of Poland (2 projects);

3. Reviewer for the Italian Government ”Ministero dell’Istruzione, dell’Universita’ e della Ricerca” (1project);

4. Reviewer for the Croatian Science Foundation (1 project);

5. Reviewer for the French National Research Agency (ANR) (1 project).

6. Reviewer for the Netherlands Organisation for Scientific Research (NWO) (1 project).

Reviewer for PhD Theses

1. P. Crosetto - Ph.D. school in ”Mathematics”, Ecole Polytecnique Federale de Lausanne (EPFL).Title of the thesis: “Fluid-Structure Interaction Problems in Hemodynamics: Parallel Solvers,Preconditioners, and Applications”. Advisors: A. Quarteroni and S. Deparis. July 2011.

2. L. Cattaneo - PhD school ”Mathematical Models and Methods in Engineering”, Dipartimento diMatematica, Politecnico di Milano. Title of the thesis: “FEM for PDEs with unfitted interfaces:Application to flow through heterogeneous media and microcirculation”. Advisor: P. Zunino. Jan-uary 2014.

3. L. Charawi - PhD school ”Matematica e Statistica per le Scienze Computazionali”, Dipartimento diMatematica, Universita Statale di Milano. Title of the thesis: ”Isogeometric Overlapping AdditiveSchwarz Preconditioners in Computational Electrocardiology”. Advisor: L. Pavarino. April 2014.

4. S. Smaldone - PhD school in ”Mathmatiques appliques”, L’Universite Pierre et Marie Curie -Paris VI. Title of the thesis: ”Numerical analysis and simulations of coupled problems for theCardiovascular system”. Advisors: J.F. Gerbeau and M.A. Fernandez. July 2014.

5. M. Aletti - PhD school in ”Mathmatiques appliques”, L’Universite Pierre et Marie Curie - Paris VI.Title of the thesis: ”Mathematical Modelling and Simulations of the Hemodynamics in the eye”.Advisor: J.F. Gerbeau. April 2017.

Committee member for PhD Theses

1. P. Crosetto, Ph.D. school in ”Mathematics”, Ecole Polytecnique Federale de Lausanne (EPFL).Title of the thesis: “Fluid-Structure Interaction Problems in Hemodynamics: Parallel Solvers,Preconditioners, and Applications”. Advisors: A. Quarteroni and S. Deparis. July 2011.

2. Member of the Doctoral Studies Panel assigned to the PhD student Lucas Muller, Universita diTrento, Italy. 2011-2013.



3. L. Facchini, Ph.D. school in ”Mathematics”, Universita di Trento. Title of the thesis: “Mathemat-ical modelling of transport across blood vessel walls”. Advisors: E. Toro and A. Bellin. December2013.

4. S. Smaldone - PhD school in ”Mathmatiques appliques”, L’Universite Pierre et Marie Curie -Paris VI. Title of the thesis: ”Numerical analysis and simulations of coupled problems for theCardiovascular system”. Advisors: J.F. Gerbeau and M.A. Fernandez. October 2014.

5. M. Aletti - PhD school in ”Mathmatiques appliques”, L’Universite Pierre et Marie Curie - Paris VI.Title of the thesis: ”Mathematical Modelling and Simulations of the Hemodynamics in the eye”.Advisor: J.F. Gerbeau. May 2017.

Reviewer of MSc Theses

1. C. Fustinoni, Integrazione del metodo a parametri concentrati con un codice a elementi finiti: analisinumerica di una heat-pipe,MSc in Mechanical Engineering, University of Bergamo - Accademic year’07-’08. Advisor: M. Marengo.

2. A. Porpora, Analisi, Approssimazione e Applicazione di Condizioni al Bordo Difettive in Emodi-namica, MSc in Mathematical Engineering, Politecnico di Milano - Academic Year ’08-’09. Advisor:P. Zunino.

3. M. Presicce, Progettazione e implementazione di un nuovo algoritmo semi-automatico per la gener-azione di modelli ad elementi finiti paziente-specifici di radice aortica: applicazione alla simulazionedella biomeccanica in vivo della radice aortica fisiologica e affetta da bicuspidia valvolare con-genita, MSc in Biomedical Engineering, Politecnico di Milano - Academic Year ’13-’14. Advisor:A. Redaelli.

4. G. Rossini and M. Sabbatini, A novel semi-automatic MATLAB tool for the analysis of the patient-specific aortic valve cusps biomechanics using solid elements, MSc in Biomedical Engineering, Po-litecnico di Milano - Academic Year ’15-’16. Advisor: A. Redaelli.

5. L. Pegolotti, Isogeometric analysis of cardiac electrophysiology: application to human atria, MScin Computational Science and Engineering, EPFL, Lausanne, Switzerland - Academic Year ’15-’16.Advisors: A. Quarteroni, L. Dede.

6. S. Pozzi, Valutazione della funzione diastolica del ventricolo sinistro affetto da cardiomiopatia dilata-tiva post-ischemica a partire da immagini 4D Flow MRI, MSc in Biomedical Engineering, Politecnicodi Milano - Academic Year ’15-’16. Advisor: A. Redaelli.

7. M. Savino, Modelling of blood flow in a stenotic vessel, MSc in Aerospace Engineering, Politecnicodi Milano - Academic Year ’16-’17. Advisor: M. Quadrio.

8. E. Pascucci, Mathematical and computational model for microcirculation in compliant vessels, MScin Mathematical Engineering, Politecnico di Milano - Academic Year ’17-’18. Advisor: P. Zunino.

Refereeing activity for scientific journals

1. Journal of Computational Physics, 4 papers2. Numerische Matematik, 2 papers3. SIAM Journal of Numerical Analysis, 2 papers4. SIAM Journal of Scientific Computing, 5 papers5. Computer Methods in Applied Mechanics and Engineering, 9 papers6. Biomechanics and Modeling in Mechanobiology, 7 papers7. International Journal for Numerical Method in Engineering, 1 paper8. ESAIM: Mathematical Modelling and Numerical Analysis (M2AN), 1 paper9. Numerical Methods for Partial Differential Equations, 3 papers10. Finite Elements in Analysis & Design, 1 paper11. Journal of Biomechanics, 2 papers12. Annals of Biomedical Engineering, 2 papers13. ASME - Journal of Biomechanical Engineering, 3 papers14. International Journal for Numerical Method in Biomedical Engineering, 7 papers15. Medical & Biological Engineering & Computing, 1 paper



16. Medical Engineering & Physics, 2 papers17. American Journal of Neuroradiology, 1 paper18. American Journal of Physiology, 1 paper19. Journal of the Mechanical Behavior of Biomedical Materials, 1 paper20. International Journal for Numerical Methods in Fluids, 2 paper21. Computer and fluids, 2 papers22. Computer and structure, 1 paper23. Applied Numerical Mathematics, 1 paper24. Applied Mathematical Modelling, 1 paper25. Journal of Computational Science, 1 paper26. Computer Methods in Biomechanics and Biomedical Engineering, 1 paper27. Computers in Biology and Medicine, 2 papers28. Mathematical Biosciences, 1 paper29. Applications and Applied Mathematics, 1 paper30. Theoretical and Computational Fluid Dynamics, 2 papers31. Water, 1 paper32. Applied Mathematics and Computation, 3 papers33. Journal of Computational and Applied Mathematics, 2 papers34. Communications in Numerical Methods in Engineering, 1 paper35. Mathematical Methods in the Applied Sciences, 3 papers36. Mathematical Problems in Engineering, 1 paper37. Mathematics and Computers in Simulation, 1 paper38. Journal of Engineering in Medicine, 2 papers39. International Journal of Advances in Engineering Sciences and Applied Mathematics, 1 paper40. Computation, 1 paper41. Fluids, 1 paper42. Progress in Computational Fluid Dynamics, 1 paper43. Computational and Mathematical Methods in Medicine, 1 paper44. Proceedings of the International Conference on Domain Decomposition Methods, 1 paper45. Esaim Proceedings, 2 papers46. Parallel Computational Fluid Dynamics, 2 papers47. Modelling of Physiological Flows (eds. Springer), 2 chapters

Other

- Reviewer of 35 papers for the American Mathematical Society (AMS).

7 Other Activities

Institutional Services at Politecnico di Milano

1. Member of the thesis evaluation committee for the BSc and MSc in Biomedical Engineering. 2014-onwards.

2. Speaker at the event “Incontro con le famiglie”, MOX, Dipartimento di Matematica, March 21st,2015.

3. Responsible of MOX, Dipartimento di Matematica, internal seminars. 2015-onwards;

4. President of the evaluation committee for research fellowships or PhD positions (3 times). 2017-onwards.

5. Member of the evaluation committee for research Post Doc fellowships (2 times). 2017-onwards.

6. Member of the evaluation committee for positions of teaching assistant (1 time). 2018-onwards.



Institutional Services at Universita degli Studi di Bergamo (until Febru-ary 2015)

1. Member of the thesis evaluation committees for the BSc and MSc in Information, Civil, Financialand Mechanical Engineers. 2008-2015;

2. Member of evaluation committees for research fellowships (2 times). 2009-2011;

3. Assistant at the admission test, Engineering Faculty. December 2010-2015;

4. Member of the committee for the choice of the criteria to assign the faculty fundings within theDipartimento di Ingeneria dell’Informazione e Metodi Matematici. May 24, 2012.

5. Responsible of the TOLC exam for the admission of the new students to the Faculty of Engineering.December 2012 - December 2014.

Professional Societies

- Member of SIAM - Society for Industrial and Applied Mathematics (2012-2013).

- Member of the GNCS-IndAM “Gruppo Nazionale per il Calcolo Scientifico” (since 2003).

- Member of SIMAI “Society for Industrial and Applied Mathematics” (since 2004).

- Member of UMI “Italian Mathematical Union” (since 2012).

8 Description of the research activity

A) Prescription of defective boundary conditions in computational fluid-dynamicsPeriod of activity: 2003 - onwardsRelated publications: [J1,J3,J7,J11,J13,J16,J20,J21,J36,J41,J49,P1,P2,P3,C2,P12].

In many fluid-dynamic applications, often only average data are available from measurements at theartificial sections, for example the flow rate or the mean pressure. This is the case of haemodynamics.These data are not enough to make well-posed the underlying differential problem which needs conditionsat each point of the sections. To prescribe these defective conditions it is therefore necessary to introducead-hoc mathematical strategies.

Starting from the Lagrange multiplier technique developed for the steady-Stokes problem in For-maggia, Gerbeau, Nobile e Quarteroni, Numerical treatment of Defective Boundary Conditions for theNavier-Stokes equation, SIAM J Num An, 2002, for the management of a flow rate condition, in [J1]we studied and analyzed the unsteady, non-linear case and in [J3] we introduced an approximate tech-nique to speed-up the computational time, see also [J16]. The technique proposed in [J1] has been thensuccessfully applied to cases of clinical interest, see [J2, J14, J19, J25, J34].

In [J7] we proposed and analyzed a new strategy based on the introduction of a suitable functionalto be minimized by means of the optimal control theory for partial differential equations. This techniqueis very versatile, since it allows to treat both the flow rate and the mean pressure conditions.

In [J11] we studied for the first time the case of prescribing defective conditions in the case of compliantvessels (fluid-structure interaction - FSI). In particular, we extended to the FSI case the approaches basedon the Lagrange multipliers and on the control theory.

In Zunino, Numerical approximation of incompressible flows with net flux defective boundary condi-tions by means of penalty technique, CMAME, 2009, it has been proposed how to treat the flow rateconditions by means of a ”defective” Nitsche technique. In [J13] I extended and analyzed this formula-tion for a general resistance defective boundary condition, given by a linear combination of flow rate andmean pressure. This kind of condition is very important for clinical applications. 2D numerical resultshighlighted the effectiveness of this strategy. In [J20] we applied this technique to a real case of an aorticarch and we studied the effect of cutting lateral branches on the solution.

In [J21] we developed a review of the three techniques proposed so far, in particular we extended theapproaches based on Lagrange multipliers and control theory to the case of a general resistance defectivecondition.



For extended reviews about this topic, see [J36,J41,J49,P12].

B) Geometric multiscale modeling of the cardiovascular system.Period of activity: 2004 - onwards.Related publications: [J1,J23,J36,J41,J49,C1,C6].

The geometrical multiscale approach consists in the coupling of 3D models with reduced (1D or 0D)models to take into account for the rest of the system and to prescribe suitable boundary conditions atthe artificial sections of the 3D model. In [J1] we considered a simple 3D-0D coupling to describe thearterial system and we compared the results with those obtained by a full 0D model. In [J23] we derived anenergy estimate of the 3D-1D coupled problem allowing to identify which interface conditions guaranteethe preservation of the total energy. Moreover, we studied the effect of the inclusion of the surroundingtissue and of the tapering in the 1D model and we provided a systematic comparison between 3D and3D-1D results obtained in real cases. The geometrical multiscale approach has been also successfullyapplied to cases of real interest ([C1,C6], see Section D).

For extended reviews about this topic, see [J36,J41,J49].

C) Numerical algorithms for the solution of the fluid-structure interaction problem.Period of activity: 2006-onwards.Related publications: [J4,J6,J9,J11,J15,J22,J26,J28,J31,J41,J47,J49,J50,P7,P8,P11,S1].

The numerical solution of the fluid-structure interaction problem (FSI) is very important in haemo-dynamics where the blood interacts with the vessel exchanging a significant quantity of energy. Theresulting coupled problem is highly non-linear and suitable effective numerical strategies are mandatoryfor its solution. Among them, partitioned strategies, based on the successive solution of the fluid and ofthe structure subproblems in an iterative framework, are very common in haemodynamics. However, themost classical Dirichlet-Neumann scheme features very poor convergence properties in the haemodynamiccontext, due to the high added mass effect.

In [J4] we developed a new membrane model for the description of the thin vascular wall based onthe vessel curvatures, and we proposed a scheme where the structure problem is entirely embedded intothe fluid one as a Robin-type boundary condition, thus avoiding interface sub-iterations.

In [J6] we used the model proposed in [J4] to build new partitioned schemes based on Robin interfaceconditions for the case of a thick structure. We studied analytically the convergence properties of suchschemes. The numerical results confirmed the effectiveness of these schemes if the interface parametersare suitably chosen, in particular no relaxation is needed to reach convergence.

In [J9] we applied the Robin-Robin preconditioner to the case of the GMRes method applied to theinterface equation. This allowed to develop new Robin-Robin schemes which highlighted an increasedrobustness with respect to the interface parameters. For the optimization problem related to the choiceof the interface parameters, see [J15,J31,P8] in Section E.

In [J22] we provided a stability analysis of partitioned schemes in the case of a general BDF schemefor the fluid and for the structure, of any order for the temporal discretization.

In [J26,P7] we studied the case of a non-linear structure, in particular we compared different parti-tioned schemes to deal also with the structure non-linearity and we applied them to real cases of clinicalinterest. In [J28] we considered inexact variants of such schemes which featured a big saving in thecomputational time while preserving a good accuracy. Moreover we provided an analytical study of theaccuracy of such inexact schemes.

In [J47,J50,P11] we consider a unfitted Extended-FEM (XFEM) approach to manage non-conformingcomposite fluid and structure meshes as happens e.g. for heart valves. In particular, we consider athick structure immersed in an incompressible fluid and a Discontinuous Galerkin (DG) approach for themortaring. In [S1] instead of using the XFEM approach, we consider the DG method directly on thepolygons generated by the intersection between the meshes.

For an extended review about this topic, see [J41,J49].

D) Applications of clinical interest.Period of activity: 2008 - onwards.Related publications: [J14,J18,J19,J24,J25,J33,J34,J37,J38,J40,J43,J44,J45,J46,J52,S2,C1,C6,C7,P10,L1].

The technique introduced in [J1] to prescribe a flow rate boundary condition has been successfully applied



to cases of clinical interest [J14,J19,P6]. In particular, in collaboration with the Cardio-Surgery andRadiology Divisions of Ospedale Borgo Trento, Verona, Italy, and with Orobix srl (Bergamo, Italy) westudied the fluid-dynamics in ascending aorta in presence of a bicuspid aortic valve, to understand therelation between abnormal fluid-dynamics and formation of a dilated (and possibly aneurismatic) aorta.The results of these works highlighted a big asymmetry of the sistolic jet entering the aorta, high localizedwall shear stresses (WSS) and formation of helicoidal vortices, see also [J24]. The influence of the inclusionof the leaflets is studied in [J33].

In the context of the geometrical multiscale approach, we also studied through the 1D-0D couplingthe suitability of a new surgery operation in the context of congenital heart malformations (AssistedFontan procedure, in collaboration with the Alder Hey Children Hospital, Liverpool, [C6]), and throughthe 3D-0D coupling the fluid-dynamic in carotids [C1].

In collaboration with the Vascular Surgery and Radiology Divisions of Ospedale Ca’ Granda, Poli-clinico di Milano, Italy, we studied the influence of the sistolic jet in the abdominal aorta in presenceof aneurysms, finding correlations between high WSS and wall displacements, the latter being acquiredthrough medical images [J25]. With the same clinical partner we also provided a comparison of the fluid-dynamics before and after the plaque removal in carotids, to study the benefit of the endarterectomy andof the use of a patch [J34,J43,J46,J52,L1]. In [J40,J45] we studied by means of Large Eddy Simulationsmodels the transitional effect occurring in a real stenotic carotid and abdominal aortic aneurysms.

In collaboration with the Cardio-surgery and Radiology Divisions at Ospedale Sacco in Milan, westudied the mechanical performance of stentless and stended bio-prostheses through fluid-structure in-teraction simulations of the blood and aortic root [J37]. Moreover, together with the same partner, westudied the fluid-dynamics in aorto-coronary by-passes to highlight the risk of restenosis as a functionof the original stenosis degree [J38,J44]. In this context, and for stenotic carotids, we also studied theinfluence of the blood rheology model on the fluid-dynamics in terms of quantities of interest [P10].

In collaboration with the Vascular surgery division of Lugano’s hospital (Ente Ospedaliero CantonaleLugano) we studied for different virtual scenario the disturbed flow and transition to turbulence inarteriovenous fisutlae [S2].

E) Optimized Schwarz Methods.Period of activity: 2009 - onwardsRelated publications: [J15,J27,J31,J51,P8].

In the context of coupled (possibly heterogeneous) problems, a very effective Domain Decompositionstrategy is based on the exchange of Robin-type conditions at the interfaces. The convergence propertiesof such schemes are governed by the choice of the interface parameters in such conditions. The searchof an optimal choice of such parameters in a proper subset leads to a minimization problem (OptimizedSchwarz Method).

In [J15] we performed a convergence analysis and optimization of the FSI problem, highlighting with2D numerical results the effectiveness of the proposed interface parameters.

In many physical problems, the interface is a given by a cylindrical surface. For this reason, in [J27] wedeveloped an optimization analysis for the diffusion-reaction problem in the case of cylindrical interfaces,confirming the theoretical findings with 3D numerical results. Moreover, in [J31,P8], we developed ageneral analysis for elliptic problems with any kind of interface (flat, cylindrical or spherical), and weapplied it to the 3D FSI problem. 3D Numerical results in this context confirmed the theoretical findings.In [J511], we addressed the case of circular flat interfaces and geometric heterogeneous coupling.

F) Modeling the electrical activity in the heart.Period of activity: 2012 - onwardsRelated publications: [J29,J30,J32,J35,J39,J41,J48,J49,P9,P13].

The electrical activity of the heart allows the heart contraction and thus the ejection of blood in the arterialsystem. In the left ventricle, this activity consists in a front which starts from the atrio-ventricular nodeand then travels along the Purkinje network, a specialized conduction system which brings the signal tothe heart muscle. The mathematical description of the activity of the Purkinje network is then crucial foran accurate description of the electrical activity of the heart. However, the identification of this networkis not possible from the medical images, since these fibers are very thin.

In [J32] we proposed a new method for the generation of the Purkinje network driven by availableclinical data of the electrical activity of the heart. This is the first attempt to generate a patient-specific



Purkinje network. We tested this algorithm in synthetic cases with an ideal geometry, which highlightedthe effectiveness and accuracy of the method. In [J29], we applied this strategy to 3 real cases related to anormal electrical propagation, whereas in [J30] we applied it to 4 real cases characterized by pathologicalconductions, such as the Wolff-Parkinson-White syndrome and the Left-Bundle-Branch-Block.

In [J35,J39,P9] we considered the monodomain model to describe the activation both in the my-ocardium and in the Purkinje network, and the related coupled problem. In [J48,P13] the coupling be-tween the Purkinje network activation and the electro-mechanical activity of the myocardium is adressed.


G) Finite Elements methods for unfitted meshes.Period of activity: 2016 - onwardsRelated publications: [J47,J50,P11,S1].

The numerical simulation of homogeneous or heterogeneous coupled problems involving unfitted meshes(i.e. meshes that do not match at their interface) is very usefull in many contexts and applications.For example, in the case of the interaction of an immersed structure in a surrounded fluid, when thedisplacements are large the use of conforming meshes (like in the ALE approach) is not feasible.

To numerically treat this situation, we consider cut-FEM strategies where a background fixed mesh iscut by a foreground (possibly moving) mesh. To manage the intersected polygons generated by the cutof the background mesh, we propose an Extended Finite Elements (XFEM) approach in [J50], where theimmersed mesh is 3D but with thickness small in comparison to the background mesh element size, sothat a doubling of the degrees of freedom for the interface elements is considered. This strategy has beenextended to the more complex case of fluid-structure interaction problem in [J47,P11]. In [S1], instead ofusing the XFEM approach, we consider a Discontinuos Galerkin method applied directly on the polygonsgenerated by the intersection between the meshes.

H) Parameter estimation in cardiovascular mathematics.Period of activity: 2009-2013Related publications: [J17,J41,J49,P6,E1].

The estimation of physical parameters in haemodynamics is of crucial importance in view of performingaccurate numerical simulations [E1]. To this aim, we proposed a variational approach for the estimationof the Young modulus of an artery where a suitable functional is minimized with the constraint givenby the FSI problem. The functional is built thanks to available clinical data concerning the vesseldisplacement. We showed the well-position of the resulting inverse problem and performed several 2Dand 3D simulations [J17,P6].


I) Flow rate estimation starting from Doppler measurements.Period of activity: 2006 - 2010.Related publications: [J2,J10,J12,C3,C4,C5,P4].

The knowledge of the flow rate in a vascular district is of crucial interest for clinical purposes. This couldbe acquired by means of measurements. Among the non-invasive methods, some of the most commonare based on the Doppler technique (Doppler Ultrasound, EcoColoDoppler, ...). With this technique,one has at disposal at each time step the value of the maximum velocity on a section. To pass from thisinformation to the flow rate, one needs to know the velocity spatial profile, which is unknown.

We developed a method to relate the maximum velocity to the flow rate, by introducing a relationwhich depends on the pulsatility of the signal [J2]. We then applied this technique to a real dataset [J10]and performed an in-vivo validation, by comparing the estimates obtained by our technique with theones obtained with PC-MRI used as gold-standard [J12]. The results of the validation showed a greatimprovement in the accuracy given by our technique in comparison with the ones obtained with classicaltechniques.

L) Modeling the drug release from biomedical stents.Period of activity: 2006 - 2009.



Related publications: [J5,J8,P5].

A stent is a medical device implanted in occluded arteries such as coronaries in order to facilitate theopening and thus the normal conditions of blood flow. Often, the presence of such devices induces a re-stenosis, that is a further occlusion of the lumen. For this reason, in the last years these devices allow torelease a drug in the vessel wall which avoids re-stenosis. The mathematical and numerical modeling of thedrug release could provide important information about the rate of release and the optimal configurationof the stent.

In [J5], we studied new interface conditions for the drug release which allowed to avoid sub-iterationsbetween the stent and the artery vessel. This is a very interesting feature of our model since the couplingis characterized by different spatial scales (some microns for the stent, some millimeters for the artery).We developed an analysis of such sheme and performed 3D numerical results.

In [J8,B1], we provided a review of the complete process starting from the medical images of the vesseland of the stents, and describing the expanding process obtained with a finite elasticity model and therelease process.

Milano

Christian Vergara


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1 Personal information - Politecnico di Milanovergara/curriculum-inglese-ricerca.pdf · Curriculum Vitae et Studiorum Christian Vergara Academic Year 2009/2010 • Lecturer. Numerical