Title :
A Numerical Simulation of Tumor Angiogenesis
Author :
Shenquan, Liu ; Xiangxiang, Meng ; Tongbin, Zhang
Author_Institution :
Sch. of Math. Sci., South China Univ. of Technol., Guangzhou, China
Abstract :
A mathematical model of tumor angiogenesis, regulated by vascular endothelial growth factor (VEGF) and angiopoietins (Ang-1, Ang-2), is presented. The Overture numerical simulation of this model is developed, and the result analysis shows the characteristics of the density changing of endothelial cells, vascular endothelial growth factor and angiopoietins in the extra-cellular matrix in tumor angiogenesis. There is a discussion of the simulation results of the model under four different situations, which shows the different roles of VEGF, Ang-1, Ang-2 and their relationship in tumor angiogenesis.
Keywords :
biochemistry; blood vessels; cellular biophysics; molecular biophysics; numerical analysis; tumours; Ang-1; Ang-2; Overture numerical simulation; VEGF; angiopoietins; endothelial cell density change; extracellular matrix; tumor angiogenesis numerical simulation; vascular endothelial growth factor; Blood vessels; Computational modeling; Electrochemical machining; Inhibitors; Mathematical model; Metastasis; Neoplasms; Numerical simulation; Regulators; Tumors; Ang-1; Ang-2; Overture; Tumor Angiogenesis; VEGF;
Conference_Titel :
Information and Computing Science, 2009. ICIC '09. Second International Conference on
Conference_Location :
Manchester
Print_ISBN :
978-0-7695-3634-7
DOI :
10.1109/ICIC.2009.208
