Fluctuations in Gene Regulatory Networks as Gaussian Colored Noise Export

@article{citeulike:6009595, abstract = {The study of fluctuations in gene regulatory networks is extended to the case of Gaussian colored noise. Firstly, the solution of the corresponding Langevin equation with colored noise is expressed in terms of an Ito integral. Then, two important lemmas concerning the variance of an Ito integral and the covariance of two Ito integrals are shown. Based on the lemmas, we give the general formulae for the variances and covariance of molecular concentrations for a regulatory network near a stable equilibrium explicitly. Two examples, the gene auto-regulatory network and the toggle switch, are presented in details. In general, it is found that the finite correlation time of noise reduces the fluctuations and enhances the correlation between the fluctuations of the molecular components.}, archivePrefix = {arXiv}, author = {Huang, Ming-Chang and Wu, Jinn-Wen and Luo, Yu-Pin and Petrosyan, Karen G.}, citeulike-article-id = {6009595}, citeulike-linkout-0 = {http://arxiv.org/abs/0910.4468}, citeulike-linkout-1 = {http://arxiv.org/pdf/0910.4468}, day = {23}, eprint = {0910.4468}, keywords = {biophysics, gene\_regulation, network, noise, stochastic}, month = {Oct}, posted-at = {2009-10-26 23:42:58}, priority = {2}, title = {Fluctuations in Gene Regulatory Networks as Gaussian Colored Noise}, url = {http://arxiv.org/abs/0910.4468}, year = {2009} }

TY - JOUR ID - citeulike:6009595 L3 - citeulike-article-id:6009595 N2 - The study of fluctuations in gene regulatory networks is extended to the case of Gaussian colored noise. Firstly, the solution of the corresponding Langevin equation with colored noise is expressed in terms of an Ito integral. Then, two important lemmas concerning the variance of an Ito integral and the covariance of two Ito integrals are shown. Based on the lemmas, we give the general formulae for the variances and covariance of molecular concentrations for a regulatory network near a stable equilibrium explicitly. Two examples, the gene auto-regulatory network and the toggle switch, are presented in details. In general, it is found that the finite correlation time of noise reduces the fluctuations and enhances the correlation between the fluctuations of the molecular components. TI - Fluctuations in Gene Regulatory Networks as Gaussian Colored Noise KW - biophysics KW - gene_regulation KW - network KW - noise KW - stochastic AU - Huang, Ming-Chang AU - Wu, Jinn-Wen AU - Luo, Yu-Pin AU - Petrosyan, Karen PY - 2009/Oct/23/ UR - http://arxiv.org/abs/0910.4468 ER -