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

doi:10.1007/s10483-009-1004-z

Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (10): 1247-1254.doi: https://doi.org/10.1007/s10483-009-1004-z

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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

CAI Yan¹, WU Jie¹, Kalkabay GULNAR¹, ZHANG Hong-Yi¹, CAO Jin-Feng¹, XU Shi-Xiong¹, LONG Quan², COLLINS M. W. ²

1. Department of Mechanics and Engineering Science, Fudan University,Shanghai 200433, P. R. China;
2. Brunel Institute for Bioengineering, Brunel University, Uxbridge, Middlesex, UK

Received:2009-01-16 Revised:2009-08-19 Online:2009-10-01 Published:2009-10-01

Abstract

Abstract: To investigate the influence of anti-angiogenesis drug Endostatin on solid tumor angiogenesis, a mathematical model of tumor angiogenesis was developed with combined influences of local extra-cellular matrix mechanical environment, and the inhibiting effects of Angiostatin and Endostatin. Simulation results show that Angiostatin and Endostatin can effectively inhibit the process of tumor angiogenesis, and decrease the number of blood vessels in the tumor. The present model could be used as a valid theoretical method in the investigation of anti-angiogenic therapy of tumors.

Key words: tumor angiogenesis, anti-angiogenesis, mechanical environment, mathematical model

2010 MSC Number:

92C10
92C15

CAI Yan;WU Jie;Kalkabay GULNAR;ZHANG Hong-Yi;CAO Jin-Feng;XU Shi-Xiong;LONG Quan;COLLINS M. W. . 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. Applied Mathematics and Mechanics (English Edition), 2009, 30(10): 1247-1254.

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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

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