Angiogenesis, formation of new blood vessels, is essential to many physiological and pathological processes, such as wound healing and tumor growth. Angiogenesis is one of the fastest growing biomedical research disciplines in the past 20 years. However, there are very few mathematical models of angiogenesis compared with the explosion in experimental data. In this work, we present a mathematical model of angiogenesis, which covers three main processes: endothelial cell activation, sprout extension, and maturation of new blood vessels. This model contains two components: the biochemical model of angiogenic reactions, and the biomechanical model of capillary extension. In the biochemical model, we investigate the regulating mechanisms of three families of growth factors: Vascular Endothelial Growth Factor (VEGF), Angiopoietins (including Ang1 and Ang2), and Platelet-Derived Growth Factor (PDGF-B). In the biomechanical model, we study the extension of capillaries, which exhibits visco-elastic properties. In addition, the biochemical and biomechanical properties of perictyes who coat the outer surface of blood vessels will be examined. These growth factors and cells form a complex multiscale system composed of molecular reactions, cellular responses and tissue growth. The numerical simulations of the mathematical model will be presented along with the main results of the study, which include: demonstrating how the balance of the angiopoietin system serves as angiogenic switch; showing that pericytes and angiopoietins are crucial to the maturation process and the anti-angiogenesis therapy.
|State||Published - Aug 25 2011|
|Event||Gordon Angiogenesis - Salve Regina University Newport, RI|
Duration: Aug 25 2011 → Aug 25 2011
|Period||08/25/11 → 08/25/11|