Self-organized Vortex State in Two-Dimensional<i>Dictyostelium</i>Dynamics

Rappel, Wouter‐Jan; Nicol, Alastair; Sarkissian, Armand; Levine, Herbert; Loomis, William F.

doi:10.1103/physrevlett.83.1247

Cited by 140 publications

(146 citation statements)

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“…Note that the mechanism we suggest is part of a general class of models used to study collective motility like flocking of birds, herding of wildebeest, or microorganism vortices (26)(27)(28). Thus far, however, the effectiveness of this simple mechanism as the driving force of wound healing and spreading of cohesive epithelial tissues has not been studied.…”

Section: Mechanism Of Motility Coordinationmentioning

confidence: 99%

Alignment of cellular motility forces with tissue flow as a mechanism for efficient wound healing

Basan

Elgeti

Hannezo

et al. 2013

Proc. Natl. Acad. Sci. U.S.A.

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215

273

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Recent experiments have shown that spreading epithelial sheets exhibit a long-range coordination of motility forces that leads to a buildup of tension in the tissue, which may enhance cell division and the speed of wound healing. Furthermore, the edges of these epithelial sheets commonly show finger-like protrusions whereas the bulk often displays spontaneous swirls of motile cells. To explain these experimental observations, we propose a simple flocking-type mechanism, in which cells tend to align their motility forces with their velocity. Implementing this idea in a mechanical tissue simulation, the proposed model gives rise to efficient spreading and can explain the experimentally observed long-range alignment of motility forces in highly disordered patterns, as well as the buildup of tensile stress throughout the tissue. Our model also qualitatively reproduces the dependence of swirl size and swirl velocity on cell density reported in experiments and exhibits an undulation instability at the edge of the spreading tissue commonly observed in vivo. Finally, we study the dependence of colony spreading speed on important physical and biological parameters and derive simple scaling relations that show that coordination of motility forces leads to an improvement of the wound healing process for realistic tissue parameters.

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Section: Mechanism Of Motility Coordinationmentioning

confidence: 99%

Alignment of cellular motility forces with tissue flow as a mechanism for efficient wound healing

Basan

Elgeti

Hannezo

et al. 2013

Proc. Natl. Acad. Sci. U.S.A.

Self Cite

215

273

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“…Over the last decade, extensions of the large-Q Potts model have incorporated different aspects of biological cells [53,60,68,93,122].…”

Section: Extensions Of the Potts Model To Biological Applicationsmentioning

confidence: 99%

On Cellular Automaton Approaches to Modeling Biological Cells

Alber

Kiskowski

Glazier

et al. 2003

Mathematical Systems Theory in Biology, Communications, Computation, and Finance

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Abstract. We discuss two different types of Cellular Automata (CA): lattice-gasbased cellular automata (LGCA) and the cellular Potts model (CPM), and describe their applications in biological modeling.LGCA were originally developed for modeling ideal gases and fluids. We describe several extensions of the classical LGCA model to self-driven biological cells. In particular, we review recent models for rippling in myxobacteria, cell aggregation, swarming, and limb bud formation. These LGCA-based models show the versatility of CA in modeling and their utility in addressing basic biological questions.The CPM is a more sophisticated CA, which describes individual cells as extended objects of variable shape. We review various extensions to the original Potts model and describe their application to morphogenesis; the development of a complex spatial structure by a collection of cells. We focus on three phenomena: cell sorting in aggregates of embryonic chicken cells, morphological development of the slime mold Dictyostelium discoideum and avascular tumor growth. These models include intercellular and extracellular interactions, as well as cell growth and death.

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“…[1,2] and references therein) migrating bacteria [3], molds [4], ants [5] or pedestrians [6] is a fascinating phenomenon of nature. We address the question whether there are some global, perhaps universal features of this type of behavior when many organisms are involved and parameters like the level of perturbations or the mean distance between the individuals are changed.…”

Section: Introductionmentioning

confidence: 99%