Parameter estimation in neuronal stochastic differential equation models from intracellular recordings of membrane potentials in single neurons: a Review

Abstract : Dynamics of the membrane potential in a single neuron can be studied estimating biophysical parameters from intracellular recordings. Diffusion processes, given as continuous solutions to stochastic differential equations, are widely applied as models for the neuronal membrane potential evolution. One-dimensional models are the stochastic integrate-and-fire neuronal diffusion models. More biophysical neuronal models take into account the dynamics of ion channels or synaptic activity, leading to multidimensional diffusion models. Since only the membrane potential can be measured, this complicates the statistical inference and parameter estimation from these partially observed detailed models. This paper reviews parameter estimation techniques from intracellular recordings in these diffusion models.
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Susanne Ditlevsen, Adeline Samson. Parameter estimation in neuronal stochastic differential equation models from intracellular recordings of membrane potentials in single neurons: a Review. Journal de la Société Française de Statistique, Société Française de Statistique et Société Mathématique de France, 2016, Special Issue on Statistics and Neurosciences, 157 (1), pp.6-16. ⟨hal-01623777⟩

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