title: Response and fluctuations of a two-state signaling module with feedback.
abstract: We 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.
authors.affiliation: Max Planck Institute for the Physics of Complex Systems, 01187 Dresden, Germany. manoj@mri.ernet.in
authors.forename: Manoj
authors.initials: M
authors.lastname: Gopalakrishnan
authors.forename: Peter
authors.initials: P
authors.lastname: Borowski
authors.forename: Frank
authors.initials: F
authors.lastname: Jülicher
authors.forename: Martin
authors.initials: M
authors.lastname: Zapotocky
mesh_terms: D000818:Animals; D001695:Biology / Q000379:methods; D001703:Biophysics / Q000379:methods*; D002627:Chemistry, Physical / Q000379:methods; D003198:Computer Simulation; D025461:Feedback, Physiological; D007700:Kinetics; D008954:Models, Biological; D015233:Models, Statistical; D008962:Models, Theoretical; D009010:Monte Carlo Method; D009474:Neurons / Q000378:metabolism; D009833:Olfactory Pathways / Q000378:metabolism; D015398:Signal Transduction; D013269:Stochastic Processes