dorsal/arxiv
View SchemaLattice gas cellular automata model for rippling and aggregation in myxobacteria
| Authors | Mark S. Alber, Yi Jiang, Maria A. Kiskowski |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0401014 |
| URL | https://arxiv.org/abs/q-bio/0401014 |
| DOI | 10.1016/j.physd.2003.11.012 |
Abstract
A lattice-gas cellular automaton (LGCA) model is used to simulate rippling and aggregation in myxobacteria. An efficient way of representing cells of different cell size, shape and orientation is presented that may be easily extended to model later stages of fruiting body formation. This LGCA model is designed to investigate whether a refractory period, a minimum response time, a maximum oscillation period and non-linear dependence of reversals of cells on C-factor are necessary assumptions for rippling. It is shown that a refractory period of 2-3 minutes, a minimum response time of up to 1 minute and no maximum oscillation period best reproduce rippling in the experiments of {\it Myxoccoccus xanthus}. Non-linear dependence of reversals on C-factor is critical at high cell density. Quantitative simulations demonstrate that the increase in wavelength of ripples when a culture is diluted with non-signaling cells can be explained entirely by the decreased density of C-signaling cells. This result further supports the hypothesis that levels of C-signaling quantitatively depend on and modulate cell density. Analysis of the interpenetrating high density waves shows the presence of a phase shift analogous to the phase shift of interpenetrating solitons. Finally, a model for swarming, aggregation and early fruiting body formation is presented.
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"abstract": "A lattice-gas cellular automaton (LGCA) model is used to simulate rippling\nand aggregation in myxobacteria. An efficient way of representing cells of\ndifferent cell size, shape and orientation is presented that may be easily\nextended to model later stages of fruiting body formation. This LGCA model is\ndesigned to investigate whether a refractory period, a minimum response time, a\nmaximum oscillation period and non-linear dependence of reversals of cells on\nC-factor are necessary assumptions for rippling. It is shown that a refractory\nperiod of 2-3 minutes, a minimum response time of up to 1 minute and no maximum\noscillation period best reproduce rippling in the experiments of {\\it\nMyxoccoccus xanthus}. Non-linear dependence of reversals on C-factor is\ncritical at high cell density. Quantitative simulations demonstrate that the\nincrease in wavelength of ripples when a culture is diluted with non-signaling\ncells can be explained entirely by the decreased density of C-signaling cells.\nThis result further supports the hypothesis that levels of C-signaling\nquantitatively depend on and modulate cell density. Analysis of the\ninterpenetrating high density waves shows the presence of a phase shift\nanalogous to the phase shift of interpenetrating solitons. Finally, a model for\nswarming, aggregation and early fruiting body formation is presented.",
"arxiv_id": "q-bio/0401014",
"authors": [
"Mark S. Alber",
"Yi Jiang",
"Maria A. Kiskowski"
],
"categories": [
"q-bio.QM",
"q-bio.OT"
],
"doi": "10.1016/j.physd.2003.11.012",
"title": "Lattice gas cellular automata model for rippling and aggregation in myxobacteria",
"url": "https://arxiv.org/abs/q-bio/0401014"
},
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