TY - GEN
T1 - Nonlinear behaviors of capillary formation in a deterministic angiogenesis model
AU - Sun, Shuyu
AU - Wheeler, Mary F.
AU - Obeyesekere, Mandri
AU - Patrick, Charles
N1 - Generated from Scopus record by KAUST IRTS on 2023-09-21
PY - 2005/11/30
Y1 - 2005/11/30
N2 - In this paper, we consider a deterministic approach for modeling angiogenesis. The model equations form a nonlinear coupled system of partial and ordinary differential equations. We propose an efficient, accurate and locally conservative numerical method to solve the nonlinear system. Computational results indicate that the model generates the overall dendritic structure and pattern of the capillary network morphologically similar to those observed in vivo. The influence of the capillary network and the growth factor distribution on each other and their interaction are investigated using numerical simulations. © 2005 Elsevier Ltd. All rights reserved.
AB - In this paper, we consider a deterministic approach for modeling angiogenesis. The model equations form a nonlinear coupled system of partial and ordinary differential equations. We propose an efficient, accurate and locally conservative numerical method to solve the nonlinear system. Computational results indicate that the model generates the overall dendritic structure and pattern of the capillary network morphologically similar to those observed in vivo. The influence of the capillary network and the growth factor distribution on each other and their interaction are investigated using numerical simulations. © 2005 Elsevier Ltd. All rights reserved.
UR - https://linkinghub.elsevier.com/retrieve/pii/S0362546X05000829
UR - http://www.scopus.com/inward/record.url?scp=28044451781&partnerID=8YFLogxK
U2 - 10.1016/j.na.2005.01.066
DO - 10.1016/j.na.2005.01.066
M3 - Conference contribution
BT - Nonlinear Analysis, Theory, Methods and Applications
ER -