Nonlinear Estimation of Synaptic Conductances via Piecewise Linear Systems
We use the piecewise linear McKean model to present a proof-of-concept to address the estimation of synaptic conductances when a neuron is spiking. Using standard techniques of non-smooth dynamical systems, we obtain an approximation of the period in terms of the parameters of the system which allows to estimate the steady synaptic conductance of the spiking neuron. The method gives also fairly good estimations when the synaptic conductances vary slowly in time.
KeywordsPeriodic Orbit Flight Time Unique Fixed Point Interspike Interval Slow Manifold
This work is partially supported by the Spanish Ministry of Economy and Competitiveness through project MTM2015-71509-C2-2-R (AG), by the MCYT/FEDER grant number MTM2014-54275-P (RP, AT and CV) and by the Government of Catalonia under grant 2014-SGR–504 (AG).