| 1. |
Chaturvedi R.♦, Huang C.♦, Kaźmierczak B., Schneider T.♦, Izaguirre J.♦, Glimm T.♦, Hentschel H.G.E.♦, Glazier J.♦, Newman S.♦, Alber M.♦, On multiscale approaches to three-dimensional modelling of morphogenesis,
JOURNAL OF THE ROYAL SOCIETY INTERFACE, ISSN: 1742-5689, DOI: 10.1098/rsif.2005.0033, Vol.2, pp.237-253, 2005 Abstract:
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. Affiliations:
| Chaturvedi R. | - | University of Notre Dame (US) | | Huang C. | - | University of Notre Dame (US) | | Kaźmierczak B. | - | IPPT PAN | | Schneider T. | - | University College London (GB) | | Izaguirre J. | - | University of Notre Dame (US) | | Glimm T. | - | Western Washington University (US) | | Hentschel H.G.E. | - | Emory University (US) | | Glazier J. | - | Indiana University (US) | | Newman S. | - | New York Medical College (US) | | Alber M. | - | University of Notre Dame (US) |
|  |
