Response and fluctuations of a two-state signaling module with feedback

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dc.creatorGopalakrishnan, Manoj
dc.creatorBorowski, Peter
dc.creatorJülicher, Frank
dc.creatorZapotocky, Martin
dc.date2006-07-05
dc.date2007-08-08
dc.date.accessioned2026-07-07T08:22:42Z
dc.date.available2026-07-07T08:22:42Z
dc.descriptionWe study the stochastic kinetics of a signaling module consisting of a two-state stochastic point process with negative feedback. In the active state, a product is synthesized which increases the active-to-inactive transition rate of the process. We analyze this simple autoregulatory module using a path-integral technique based on the temporal statistics of state flips of the process. We develop a systematic framework to calculate averages, autocorrelations, and response functions by treating the feedback as a weak perturbation. Explicit analytical results are obtained to first order in the feedback strength. Monte Carlo simulations are performed to test the analytical results in the weak feedback limit and to investigate the strong feedback regime. We conclude by relating some of our results to experimental observations in the olfactory and visual sensory systems.
dc.description19 pages, 15 figures; revised version for publishing in PRE
dc.identifierhttps://arxiv.org/abs/q-bio/0607007
dc.identifierhttp://arxiv.org/abs/q-bio/0607007
dc.identifierPhys.Rev.E 76, 021904 (2007)
dc.identifierdoi:10.1103/PhysRevE.76.021904
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135742
dc.subjectQuantitative Methods
dc.subjectStatistical Mechanics
dc.subjectBiological Physics
dc.titleResponse and fluctuations of a two-state signaling module with feedback
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