Presentation Information
[SS01-02]Pattern formation of the vascular network in vertebrates
*Takashi Miura1 (1. Kyushu University (Japan))
Keywords:
Vertebrate,Pattern formation,Vascular network,Mathematical models
Vertebrate vasculature shows hierarchic branched structures, and the pattern formation processes have been well studied. The process has been subdivided into angiogenesis, vasculogenesis, and remodeling, and corresponding theoretical models have been proposed. Vasculogenesis has been modeled by the PDE (mechanochemical model) or the discrete model (Cellular Potts model). Angiogenesis has been modeled by a biased random walk (Chaplain-Anderson model). The remodeling process has been reproduced using the network model. In addition to normal development, there are several pathological states in which vasculature shows irregular, twisted morphology. However, these modeling studies are relatively independent and their relationships with functions are not well studied. In this talk, I will summarize current knowledge on vascular pattern formation and modeling attempts.