Complex reaction noise in molecular quasispecies model

Details Complex reaction noise in molecular quasispecies model Complex reaction noise in molecular quasispecies model

2006-05-09

arxiv.org/abs/q-bio/0605014v1

Chemical Physics Letters 423 (2006) 54-58

Biology

Quantitative Biology

Populations and Evolution

10 pages, 2 figures, uses elstart class file

Scientific paper

10.1016/j.cplett.2006.03.023

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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