Estimation of Synaptic Conductances in the Spiking Regime for the McKean Neuron Model

Show simple item record Guillamon, A. Prohens, R. Teruel A.E. Vich, C. 2020-02-12T09:34:10Z
dc.description.abstract [eng] In this work, we aim at giving a first proof of concept to address the estimation of synaptic conductances when a neuron is spiking, a complex inverse nonlinear problem which is an open challenge in neuroscience. Our approach is based on a simplified model of neuronal activity, namely, a piecewise linear version of the FitzHugh-Nagumo model. This simplified model allows precise knowledge of the nonlinear f-I curve by using standard techniques of nonsmooth dynamical systems. In the regular firing regime of the neuron model, we obtain an approximation of the period which, in addition, improves previous approximations given in the literature to date. By knowing both this expression of the period and the current applied to the neuron, and then solving an inverse problem with a unique solution, we are able to estimate the steady synaptic conductance of the cell's oscillatory activity. Moreover, the method gives also good estimations when the synaptic conductance varies slowly in time.
dc.format application/pdf
dc.relation.isformatof Reproducció del document publicat a:
dc.relation.ispartof Siam Journal On Applied Dynamical Systems, 2017, vol. 16, num. 3, p. 1397-1424
dc.subject.classification 51 - Matemàtiques
dc.subject.classification 004 - Informàtica
dc.subject.other 51 - Mathematics
dc.subject.other 004 - Computer Science and Technology. Computing. Data processing
dc.title Estimation of Synaptic Conductances in the Spiking Regime for the McKean Neuron Model
dc.type info:eu-repo/semantics/article
dc.type info:eu-repo/semantics/publishedVersion 2020-02-12T09:34:10Z info:eu-repo/date/embargoEnd/2026-12-31
dc.embargo 2026-12-31
dc.subject.keywords McKean model
dc.subject.keywords synaptic conductance
dc.subject.keywords neuron model
dc.subject.keywords Piecewise linear systems
dc.rights.accessRights info:eu-repo/semantics/embargoedAccess

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