A deterministic model of growth factor-induced angiogenesis

by Shuyu Sun, Mary F. Wheeler, Mandri Obeyesekere, Charles W. Patrick Jr.
Year: 2005


S. Sun, M. F. Wheeler, M. Obeyesekere and C. W. Patrick Jr., “A deterministic model of growth factor-induced angiogenesis”, Bulletin of Mathematical Biology, 67(2), 313-337, 2005.


Understanding the formation and structure of a capillary network is critical for any reparative strategy since the capillary network dictates tissue survival, hemodynamics, and mass transport. Vascular assembly and patterning has largely been studied using a reductionist approach where a particular endothelial cell molecular pathway or cellular mechanism is investigated as a relatively closed system. This trend of research has yielded a staggering wealth of genes, proteins, and cells that play critical roles in angiogenesis and some have resulted in successful targeted angiogenic therapies. However, these genes, proteins, and cells do not exist in discrete closed systems, rather they are intimately coupled across spatial and temporal dimensions. Designing experiments to study a single or group of perturbations is fraught with confounding complications. An integrative tool is required that incorporates gene, protein, and cell information and appropriately describes the complex systems behavior of vascular assembly and patterning.


A deterministic model of growth factor-induced angiogenesis