A mathematical model of angiogenesis: initiation, extension and maturation.

Guo Young Koh, Xiaoming Zheng

Research output: Contribution to conferencePoster


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 talk, we will present a brand new mathematical model of angiogenesis, which covers three main processes: endothelial cell activation (or the new blood vessel initiation), sprout extension, and maturation of new blood vessels. This model contains two components: the first is the biochemical model of angiogenic reactions, the second is 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 (another type of cells) 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; highlighting that a proper mechanical model is necessary to address the blood vessel extension; showing that pericytes and angiopoietins are central to the maturation process.
Original languageEnglish
StatePublished - Jul 27 2011
Event1st Annual Workshop on Cancer Systems Biology Tumor Dormancy - Steward St. Elizabeth’s Medical Center, Boston, MA.,
Duration: Jul 27 2011Jul 27 2011


Workshop1st Annual Workshop on Cancer Systems Biology Tumor Dormancy


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