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2005, 2(3): 613-624. doi: 10.3934/mbe.2005.2.613

Modeling Multicellular Systems Using Subcellular Elements

T. J. Newman 1,

1. 

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

Received  April 2005 Revised  August 2005 Published  August 2005

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.
Keywords: tumor growth, computer simulation, embryogenesis, Langevin dynamics., multicellular systems, development, epithelial sheet.
Mathematics Subject Classification: 92C10, 92C15, 82C3.
Citation: T. J. Newman. Modeling Multicellular Systems Using Subcellular Elements. Mathematical Biosciences & Engineering, 2005, 2 (3) : 613-624. doi: 10.3934/mbe.2005.2.613
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