dorsal/arxiv
View SchemaComplex reaction noise in molecular quasispecies model
| Authors | David Hochberg, Maria-Paz Zorzano, Federico Moran |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0605014 |
| URL | https://arxiv.org/abs/q-bio/0605014 |
| DOI | 10.1016/j.cplett.2006.03.023 |
| Journal | Chemical Physics Letters 423 (2006) 54-58 |
Abstract
We have derived exact Langevin equations for a model of quasispecies dynamics. The inherent multiplicative reaction noise is complex and its statistical properties are specified completely. The numerical simulation of the complex Langevin equations is carried out using the Cholesky decomposition for the noise covariance matrix. This internal noise, which is due to diffusion-limited reactions, produces unavoidable spatio-temporal density fluctuations about the mean field value. In two dimensions, this noise strictly vanishes only in the perfectly mixed limit, a situation difficult to attain in practice.
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"abstract": "We have derived exact Langevin equations for a model of quasispecies\ndynamics. The inherent multiplicative reaction noise is complex and its\nstatistical properties are specified completely. The numerical simulation of\nthe complex Langevin equations is carried out using the Cholesky decomposition\nfor the noise covariance matrix. This internal noise, which is due to\ndiffusion-limited reactions, produces unavoidable spatio-temporal density\nfluctuations about the mean field value. In two dimensions, this noise strictly\nvanishes only in the perfectly mixed limit, a situation difficult to attain in\npractice.",
"arxiv_id": "q-bio/0605014",
"authors": [
"David Hochberg",
"Maria-Paz Zorzano",
"Federico Moran"
],
"categories": [
"q-bio.PE",
"cond-mat.stat-mech"
],
"doi": "10.1016/j.cplett.2006.03.023",
"journal_ref": "Chemical Physics Letters 423 (2006) 54-58",
"title": "Complex reaction noise in molecular quasispecies model",
"url": "https://arxiv.org/abs/q-bio/0605014"
},
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