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...
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Balter A, Merks RMH, Poplawski NJ, Swat M, Glazier JA (2007) The Glazier-Graner-Hogeweg model: extensions, future directions, and opportunities for further study. In: Anderson ARA, Chaplain MAJ, Rejniak KA (eds) Single cell-based models in biology and medicine, Mathematics and biosciences in interaction. Birkhäuser Verlag, Basel, pp 151–167
Glazier JA et al. CompuCell3D, an open source modeling environment, www.compucell3d.org
Glazier JA, Graner F (1993) Simulation of the differential adhesion driven rearrangement of biological cells. Phys Rev E 47(3):2128–2154
Glazier JA, Balter A, Poplawski NJ (2007) Magnetization to morphogenesis: a brief history of the Glazier-Graner-Hogeweg model. In: Anderson ARA, Chaplain MAJ, Rejniak KA (eds) Single cell-based models in biology and medicine, Mathematics and biosciences in interaction. Birkhäuser Verlag, Basel, pp 79–106
Marée AFM, Jilkine A, Dawes A, Grieneisen VA, Edelstein-Keshet L (2006) Polarization and movement of keratocytes: a multiscale modelling approach. Bull Math Biol 68(5):1169–1211. doi:10.1007/s11538-006-9131-7
Ouchi NB, Glazier JA, Rieu J, Upadhyaya A, Sawada Y (2003) Improving the realism of the cellular Potts model in simulations of biological cells. Physica A 329(3–4):451–458
Savill NJ, Hogeweg P (1997) Modelling morphogenesis: from single cells to crawling slugs. J Theor Biol 184(3):229–235
Starruß J, Bley T, Sogaard-Andersen L, Deutsch A (2007) A new mechanism for collective migration in Myxococcus xanthus. J Stat Phys 128(1–2):269–286
Zajac M, Jones GL, Glazier JA (2003) Simulating convergent extension by way of anisotropic differential adhesion. J Theor Biol 222:247–259
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media, LLC
About this entry
Cite this entry
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
Download citation
DOI: https://doi.org/10.1007/978-1-4419-9863-7_298
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-9862-0
Online ISBN: 978-1-4419-9863-7
eBook Packages: Biomedical and Life SciencesReference Module Biomedical and Life Sciences