title: The relationship between neuronal calcium concentration and firing rate during stochastic synaptic inputs.
abstract: We propose a novel, nonlinear theory about reading neuronal information using intracellular calcium concentrations, which includes the linear theory already developed in the literature as a special case. The theory is numerically confirmed using the Pinsky-Rinzel and integrate-and-fire models with constant rate Poisson inputs. Applying the theory to models with non-constant inputs, we find that there is a time lag equal to the calcium buffering time constant between the instantaneous firing rate and the firing rate estimated using calcium concentrations.
authors.affiliation: COGS, Sussex University, Brighton BN1 9QH, UK. jf218@cam.ac.uk
authors.forename: Jianfeng
authors.initials: J
authors.lastname: Feng
authors.forename: Guibin
authors.initials: G
authors.lastname: Li
mesh_terms: D000818:Animals; D002118:Calcium / Q000378:metabolism*; D007473:Ion Channels / Q000502:physiology; D008959:Models, Neurological; D009434:Neural Pathways; D009474:Neurons / Q000378:metabolism*; D017981:Receptors, Neurotransmitter / Q000378:metabolism*; D013269:Stochastic Processes; D009435:Synaptic Transmission
chemical_list: D007473:Ion Channels; D017981:Receptors, Neurotransmitter; D002118:Calcium