Ion channels are of major interest, and form an area of intensive research in the fields of biophysics and medicine since they control many vital physiological functions. The aim of this work is on the one hand to propose a fully stochastic and discrete model describing the main characteristics of a multiple channel system. The movement of the ions is coupled, as usual, with a Poisson equation for the electrical field; we have considered, in addition, the influence of exclusion forces. On the other hand, we have discussed the nondimensionalization of the stochastic system by using real physical parameters, all supported by numerical simulations. The specific features of both cases of micro- and nanochannels have been taken into consideration with particular attention to the latter case in order to show that it is necessary to consider a discrete and stochastic model for ions movement inside the channels.

Stochastic Modeling and Simulation of Ion Transport through Channels / D. Morale, M. Zanella, V. Capasso, W. Jaeger. - In: MULTISCALE MODELING & SIMULATION. - ISSN 1540-3459. - 14:1(2016 Jan), pp. 113-137. [10.1137/15M1010907]

Stochastic Modeling and Simulation of Ion Transport through Channels

D. Morale
Primo
;
V. Capasso
Penultimo
;
2016

Abstract

Ion channels are of major interest, and form an area of intensive research in the fields of biophysics and medicine since they control many vital physiological functions. The aim of this work is on the one hand to propose a fully stochastic and discrete model describing the main characteristics of a multiple channel system. The movement of the ions is coupled, as usual, with a Poisson equation for the electrical field; we have considered, in addition, the influence of exclusion forces. On the other hand, we have discussed the nondimensionalization of the stochastic system by using real physical parameters, all supported by numerical simulations. The specific features of both cases of micro- and nanochannels have been taken into consideration with particular attention to the latter case in order to show that it is necessary to consider a discrete and stochastic model for ions movement inside the channels.
stochastic differential equations; ion channels; stochastic processes; nano-micro channels; nondimensionalization
Settore MAT/06 - Probabilita' e Statistica Matematica
   Dalla microscala alla macroscala in sistemi stocastici di particelle interagenti in dinamica di popolazione.
   MINISTERO DELL'ISTRUZIONE E DEL MERITO
   2009RNH97Z_002
gen-2016
Article (author)
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/361477
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