Numerical simulation of solid tumor angiogenesis with Endostatin treatment: a combined analysis of inhibiting effect of anti-angiogenic factor and micro mechanical environment of extracellular matrix

DOI10.1007/s10483-009-1004-zzbMath1181.92043OpenAlexW1544185497MaRDI QIDQ1047283

Yan Cai, Kalkabay Gulnar, Hong-yi Zhang, M. W. Collins, Jie Wu, Shi-xiong Xu, Jin-Feng Cao, Quan Long

Publication date: 4 January 2010

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-009-1004-z

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Cell movement (chemotaxis, etc.) (92C17)

Related Items (2)

Numerical simulation of the inhibitory effect of angiostatin on metastatic tumor angiogenesis and microenvironment ⋮ Numerical simulation of inhibiting effects on solid tumour cells in anti-angiogenic therapy: application of coupled mathematical model of angiogenesis with tumour growth

Cites Work

• Mathematical modelling of flow through vascular networks: implications for tumour-induced angiogenesis and chemotherapy strategies
• Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma
• Continuous and discrete mathematical models of tumor-induced angiogenesis
• A gradient-driven mathematical model of antiangiogenesis

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