Kinetics of the cellular Potts model revisited

Nakajima, Akihiko; Ishihara, Shuji

doi:10.1088/1367-2630/13/3/033035

Cited by 33 publications

(76 citation statements)

References 26 publications

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“…This is in contrast with previous works with CPM on smaller simulated systems displaying slower logarithmic growth for domain size (Graner & Glazier 1992;Mombach et al 1995). CPM simulations with self-propelled cell types characterized by identical adhesive interactions as for the simulations in (Nakajima & Ishihara 2011) also yield domain growth exponent n = 1/3 (A. Czirók, personal communication).…”

Section: Impact Of Motility On Segregationcontrasting

confidence: 75%

“…The growth of such multicellular clusters by consecutive fusion of smaller clusters follows algebraic scaling law with characteristic exponents depending on the collective effects (Figure 1 also see Additional file 1). The growth exponent values measured in this cell culture system with self-propelled collective motion exceed the exponent values resulting from computer simulations with diffusively moving segregating units detailed in (Nakajima & Ishihara 2011).…”

Section: Two-dimensional Segregation: Pattern Formation On a Substratementioning

confidence: 45%

“…Recently, Nakajima et al (2011) used Cellular Potts Model (CPM) to study the dynamics of the segregation of mixtures of non-self-propelled cell types with diffusive motion. They have found that the increase in the size of segregated domains follows power law and the growth exponent is n = 1/3 for mixtures with 1:1 initial ratio of cell types where segregation proceeds via smoothing of the domain boundary.…”

Section: Impact Of Motility On Segregationmentioning

confidence: 99%

See 2 more Smart Citations

Segregation mechanisms of tissue cells: from experimental data to models

Méhes

Vicsek

2013

Complex Adapt Syst Model

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Considerable advance has been made in recent years in the research field of pattern formation by segregation of tissue cells. Research has become more quantitative partly due to more in-depth analysis of experimental data and the emergence modeling approaches. In this review we present experimental observations, including some of our new results, on various aspects of two and three dimensional segregation events and then summarize the computational modeling approaches.

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Section: Impact Of Motility On Segregationcontrasting

confidence: 75%

Section: Two-dimensional Segregation: Pattern Formation On a Substratementioning

confidence: 45%

Section: Impact Of Motility On Segregationmentioning

confidence: 99%

See 1 more Smart Citation

Segregation mechanisms of tissue cells: from experimental data to models

Méhes

Vicsek

2013

Complex Adapt Syst Model

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“…The segregation of cells into homotypic domains is therefore phenomenologically similar to the phase separation of fluids [2,18]. The differential adhesion hypothesis has been studied extensively using the Cellular Potts model, pioneered by Graner & Glazier [20,21], and has been successful in describing a range of cell-sorting phenomena [22][23][24][25][26]. However, the Cellular Potts model is principally an equilibrium model; the kinetics are determined by an auxiliary dynamics-typically a Markov chain Monte Carlo method-used to relax the system to its equilibrium configuration [27].…”

Section: Introductionmentioning

confidence: 99%

A kinetic mechanism for cell sorting based on local variations in cell motility

et al. 2014

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Our current understanding of cell sorting relies on physical difference, either in the interfacial properties or motile force, between cell types. But is such asymmetry a prerequisite for cell sorting? We test this using a minimal model in which the two cell populations are identical with respect to their physical properties and differences in motility arise solely from how cells interact with their surroundings. The model resembles the Schelling model used in social sciences to study segregation phenomena at the scale of societies. Our results demonstrate that segregation can emerge solely from cell motility being a dynamic property that changes in response to the local environment of the cell, but that additional mechanisms are necessary to reproduce the envelopment behaviour observed in vitro . The time course of segregation follows a power law, in agreement with the scaling reported from experiment and in other models of motility-driven segregation.

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“…In this paper we proposed a finite element (FEM) based mixture model for tumor growth according to the existing Cellular Potts Model (CPM) [13][14][15][16], by combining a chemical modeling approach and a physical modeling approach. In chemical modeling, a FEM PDEs solver algorithm was proposed to deal with the reaction diffusion equations for three chemicals, which are the Oxygen, Glucose and the GIF.…”

Section: Introductionmentioning

confidence: 99%