title: Information transfer through a signaling module with feedback: A perturbative approach.
abstract: Signal transduction in biological cells is effected by signaling pathways that typically include multiple feedback loops. Here we analyze information transfer through a prototypical signaling module with biochemical feedback. The module switches stochastically between an inactive and active state; the input to the module governs the activation rate while the output (i.e., the product concentration) perturbs the inactivation rate. Using a novel perturbative approach, we compute the rate with which information about the input is gained from observation of the output. We obtain an explicit analytical result valid to first order in feedback strength and to second order in the strength of input. The total information gained during an extended time interval is found to depend on the feedback strength only through the total number of activation/inactivation events.
authors: Department of Life Sciences, Imperial College, SW7 2AZ London, UK. Electronic address: g.aquino@imperial.ac.uk.
authors: Gerardo
authors: G
authors: Aquino
authors: Institute of Physiology of the Czech Academy of Sciences, Videnska 1083, 14220 Prague, Czech Republic.
authors: Martin
authors: M
authors: Zapotocky
mesh_terms: D000818:Animals; D002118:Calcium / Q000378:metabolism*; D015220:Calcium Channels / Q000378:metabolism*; D003198:Computer Simulation; D025461:Feedback, Physiological / Q000502:physiology; D006801:Humans; D016247:Information Storage and Retrieval / Q000379:methods*; D015640:Ion Channel Gating / Q000502:physiology*; D008954:Models, Biological; D015398:Signal Transduction / Q000502:physiology*
chemical_list: D015220:Calcium Channels; D002118:Calcium
keywords: Communication channel; Feedback loop; Information theory; Non-Markovian process; Poisson process; Signal transduction