dorsal/arxiv
View SchemaStrong-coupling dynamics of a multi-cellular chemotactic system
| Authors | Ramon Grima |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0505004 |
| URL | https://arxiv.org/abs/q-bio/0505004 |
| DOI | 10.1103/PhysRevLett.95.128103 |
| Journal | Physical Review Letters 95, 128103 (2005) |
Abstract
Chemical signaling is one of the ubiquitous mechanisms by which inter-cellular communication takes place at the microscopic level, particularly via chemotaxis. Such multi-cellular systems are popularly studied using continuum, mean-field equations. In this letter we study a stochastic model of chemotactic signaling. The Langevin formalism of the model makes it amenable to calculation via non-perturbative analysis, which enables a quantification of the effect of fluctuations on both the weak and strongly-coupled biological dynamics. In particular we show that the (i) self-localization due to auto-chemotaxis is impossible. (ii) when aggregation occurs, the aggregate performs a random walk with a renormalized diffusion coefficient $D_R \propto \epsilon^{-2} N^{-3}$. (iii) the stochastic model exhibits sharp transitions in cell motile behavior for negative chemotaxis, behavior which has no parallel in the mean-field Keller-Segel equations.
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"abstract": "Chemical signaling is one of the ubiquitous mechanisms by which\ninter-cellular communication takes place at the microscopic level, particularly\nvia chemotaxis. Such multi-cellular systems are popularly studied using\ncontinuum, mean-field equations. In this letter we study a stochastic model of\nchemotactic signaling. The Langevin formalism of the model makes it amenable to\ncalculation via non-perturbative analysis, which enables a quantification of\nthe effect of fluctuations on both the weak and strongly-coupled biological\ndynamics. In particular we show that the (i) self-localization due to\nauto-chemotaxis is impossible. (ii) when aggregation occurs, the aggregate\nperforms a random walk with a renormalized diffusion coefficient $D_R \\propto\n\\epsilon^{-2} N^{-3}$. (iii) the stochastic model exhibits sharp transitions in\ncell motile behavior for negative chemotaxis, behavior which has no parallel in\nthe mean-field Keller-Segel equations.",
"arxiv_id": "q-bio/0505004",
"authors": [
"Ramon Grima"
],
"categories": [
"q-bio.CB",
"physics.bio-ph"
],
"doi": "10.1103/PhysRevLett.95.128103",
"journal_ref": "Physical Review Letters 95, 128103 (2005)",
"title": "Strong-coupling dynamics of a multi-cellular chemotactic system",
"url": "https://arxiv.org/abs/q-bio/0505004"
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