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Cellular Potts Model

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Encyclopedia of Systems Biology

Synonyms

CPM; Glazier–Graner–Hogeweg model; Potts model, cellular/extended

Definition

A cellular Potts model (CPM) is a spatial lattice-based formalism for the study of spatiotemporal behavior of biological cell populations. It can be used when the details of intercellular interaction are essentially determined by the shape and the size of the individual cells as well as the length of the contact area between neighboring cells.

Formally, a cellular Potts model is a time-discrete Markov chain (Markov Chain). It is a lattice model where the individual cells are simply connected domains of nodes with the same cell index. A CPM evolves by updating the cells’ configuration by one pixel at a time based on probabilistic rules. These dynamics are interpreted to resemble membrane fluctuations, where one cell shrinks in volume by one lattice site and a neighboring cell increases in volume by occupying this site. The transition rules follow a modified Metropolis algorithmwith respect to a...

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References

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Voß-Böhme, A., Starruß, J., de Back, W. (2013). Cellular Potts Model. In: Dubitzky, W., Wolkenhauer, O., Cho, KH., Yokota, H. (eds) Encyclopedia of Systems Biology. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9863-7_298

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