Aiming at an improvement of the existing neuronal models, we consider a mixed process ensuing from the superposition of a continuous diffusion and of Poisson time-distributed sequence of impulses and focus our attention on the firing time. We consider three different instances: the large jumps model in which each jump causes the neuron firing, the reset model characterized by jumps towards the resting potential and a more general model with constant amplitude excitatory and inhibitory jumps. By resorting to analytical argument and to numerical computations the main differences of the considered models are outlined.

Jump-Diffusion processes as models for neuronal activity. / M. GIRAUDO; SACERDOTE L.. - In: BIOSYSTEMS. - ISSN 0303-2647. - 40(1997), pp. 75-82.

Jump-Diffusion processes as models for neuronal activity.

GIRAUDO, Maria Teresa;SACERDOTE, Laura Lea
1997

Abstract

Aiming at an improvement of the existing neuronal models, we consider a mixed process ensuing from the superposition of a continuous diffusion and of Poisson time-distributed sequence of impulses and focus our attention on the firing time. We consider three different instances: the large jumps model in which each jump causes the neuron firing, the reset model characterized by jumps towards the resting potential and a more general model with constant amplitude excitatory and inhibitory jumps. By resorting to analytical argument and to numerical computations the main differences of the considered models are outlined.
40
75
82
Neuronal modelling; first-passage-time; moments
M. GIRAUDO; SACERDOTE L.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2318/22134
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