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ハイブリッドシミュレーション ～数理腫瘍学の基本ツール
2015. 12. 24
鈴木 貴
V. Quaranta (Vanderbilt Univ.)
Mathematical
Modeling
Integrative Mathematical Oncology
Systems Biology
Hybrid Simulation with Fluctuations
M. Chaplain (Andrews Univ.)
Applications
Cell BiIology Bio-Informatics
Bio-Statistics
C. Lopez et. al.
A. Anderson et. al.
Data Science
Blind micro
Blind macro
Malignancy control
Drug resistance
Morbid prediction
Therapy strategy
Drug design
basement membrane
blood vessel
EC endothelial cell
avascular tumor
VEGF vascular endothelial growth factor
receptor
haptotaxis
chemotaxis ECM Extra cell matrix (fibronectin)
1. Angiogenesis Levine-Sleeman 1997
tumor-induced angiogenesis
p: particle density v: chemical concentration
c.f. barrier model
hybrid simulation between individual – continuous objects
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