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On multiscale approaches to three-dimensional modelling of morphogenesis

In this paper we present the foundation of a unified, object-oriented, three-dimensional biomodelling environment, which allows us to integrate multiple submodels at scales from subcellular to those of tissues and organs. Our current implementation combines a modified discrete model from statistical...

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Bibliographic Details
Published in:Journal of the Royal Society interface 2005-06, Vol.2 (3), p.237-253
Main Authors: Chaturvedi, R, Huang, C, Kazmierczak, B, Schneider, T, Izaguirre, J.A, Glimm, T, Hentschel, H.G.E, Glazier, J.A, Newman, S.A, Alber, M.S
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Language:English
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Summary:In this paper we present the foundation of a unified, object-oriented, three-dimensional biomodelling environment, which allows us to integrate multiple submodels at scales from subcellular to those of tissues and organs. Our current implementation combines a modified discrete model from statistical mechanics, the Cellular Potts Model, with a continuum reaction-diffusion 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 pattern in a growing embryonic vertebrate limb.
ISSN:1742-5689
1742-5662
DOI:10.1098/rsif.2005.0033