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Modeling Multicellular Systems Using Subcellular Elements

1. Department of Physics & Astronomy, and School of Life Sciences, Arizona State University, Tempe, AZ 85287

We introduce a model for describing the dynamics of large numbers of interacting cells. The fundamental dynamical variables in the model are subcellular elements, which interact with each other through phenomenological intra- and intercellular potentials. Advantages of the model include i) adaptive cell-shape dynamics, ii) flexible accommodation of additional intracellular biology, and iii) the absence of an underlying grid. We present here a detailed description of the model, and use successive mean-field approximations to connect it to more coarse-grained approaches, such as discrete cell-based algorithms and coupled partial differential equations. We also discuss efficient algorithms for encoding the model, and give an example of a simulation of an epithelial sheet. Given the biological flexibility of the model, we propose that it can be used effectively for modeling a range of multicellular processes, such as tumor dynamics and embryogenesis.
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Keywords tumor growth; computer simulation; embryogenesis; Langevin dynamics.; multicellular systems; development; epithelial sheet

Citation: T. J. Newman. Modeling Multicellular Systems Using Subcellular Elements. Mathematical Biosciences and Engineering, 2005, 2(3): 613-624. doi: 10.3934/mbe.2005.2.613


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Copyright Info: 2005, T. J. Newman, licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

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