caa a22 4500 475836359 CHVBK 20180406123854.0 cr unu---uuuuu 170329e20000901xx s 000 0 eng 10.1023/A:1010333820815 doi (NATIONALLICENCE)springer-10.1023/A:1010333820815 Savchenko L. Dnepropetrovsk State University, Ukraine aut Spatial Distribution of the Potential on a Cylindrical Surface Simulating the Somatic Membrane: Model Studies [Elektronische Daten] [L. Savchenko] In our study, we represent the theoretical and numerical analysis of a stochastic version of the Hodgkin-Huxley model applied to a two-dimensional spatial cylindrical area simulating the neuronal somatic membrane. We characterized the spatiotemporal dynamics of the membrane potential by its local value V m (x, y, t) and the integral of this value with respect to time F(x, y, T) within an interval [0, T]. Analysis of the model showed that (i) there are nonzero gradients of F(x, y, T) at any distribution of ion channels; (ii) the maximum gradient F(x, y, T) decreases down to zero with the time T, if the channels are distributed homogeneously, and acquire some positive constant value, if the channels are distributed inhomogeneously; the gradient F(x, y, T) depends on the gradient of spatial distribution of the channels; and (iii) under conditions of spatial redistribution of the channels with preservation of their number, the dynamics of V m (x, y, t) does not change. Plenum Publishing Corporation, 2000 two-dimensional stochastic model nationallicence somatic membrane nationallicence membrane potential nationallicence ion channels nationallicence spatial distribution nationallicence Neurophysiology Kluwer Academic Publishers-Plenum Publishers 32/5(2000-09-01), 291-299 0090-2977 32:5<291 2000 32 11062 https://doi.org/10.1023/A:1010333820815 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1010333820815 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Savchenko L. Dnepropetrovsk State University, Ukraine aut NATIONALLICENCE 773 0- Neurophysiology Kluwer Academic Publishers-Plenum Publishers 32/5(2000-09-01), 291-299 0090-2977 32:5<291 2000 32 11062 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer