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Physical Sciences and Mathematics Commons™
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Full-Text Articles in Physical Sciences and Mathematics
On Multiscale Approaches To 3-Dimensional Modeling Of Morphogenesis, Rajiv Chaturvedi, Chengbang Huang, Bogdan Kazmierczak, T. Schneider, Jesus A. Izaguirre, Tilmann Glimm, H. George E. Hentschel, Stuart (Stuart A.) Newman, Mark Alber, James A. Glazier
On Multiscale Approaches To 3-Dimensional Modeling Of Morphogenesis, Rajiv Chaturvedi, Chengbang Huang, Bogdan Kazmierczak, T. Schneider, Jesus A. Izaguirre, Tilmann Glimm, H. George E. Hentschel, Stuart (Stuart A.) Newman, Mark Alber, James A. Glazier
Mathematics Faculty Publications
In this paper we present the foundation of a unified, object-oriented, three-dimensional (3D) biomodeling environment, which allows us to integrate multiple submodels at scales from subcellular to tissues and organs. Our current implementation combines a modified discrete model from statistical mechanics, the Cellular Potts Model (CPM), with a continuum reaction-diffusion (RD) model and a state automaton with well-defined conditions for cell differentiation transitions to model genetic regulation. This environment allows us to rapidly and compactly create computational models of a class of complex developmental phenomena. To illustrate model development, we simulate a simplified version of the formation of the skeletal …