TY - JOUR
T1 - Complex reaction noise in a molecular quasispecies model
AU - Hochberg, D.
AU - Zorzano, M.-P.
AU - Morán, F.
PY - 2006
Y1 - 2006
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-33646182582&partnerID=MN8TOARS
U2 - 10.1016/j.cplett.2006.03.023
DO - 10.1016/j.cplett.2006.03.023
M3 - Article
SN - 0009-2614
JO - Chemical Physics Letters
JF - Chemical Physics Letters
ER -