A Fractional Cable Equation for Anomaous Electrodiffusion in Nerve Cells
B. Henry, T. Langlands, and S. Wearne. Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)
Abstract
We describe a fractional cable equation to model anomalously slow electrodiffusion of ions in nerve cells. Fundamental solutions are presented and results for firing rates and voltage attenuation are obtained in terms of the anomalous diffusion parameters. A particluar application to model the passive propagation of a postsynaptic potential along a spiny dendrite is described.
%0 Book Section
%1 statphys23_0692
%A Henry, B.I.
%A Langlands, T.A.M.
%A Wearne, S.L.
%B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics
%C Genova, Italy
%D 2007
%E Pietronero, Luciano
%E Loreto, Vittorio
%E Zapperi, Stefano
%K anomalous cable electrodiffusion neuron statphys23 subdiffusion theory topic-10
%T A Fractional Cable Equation for Anomaous Electrodiffusion in Nerve Cells
%U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=692
%X We describe a fractional cable equation to model anomalously slow electrodiffusion of ions in nerve cells. Fundamental solutions are presented and results for firing rates and voltage attenuation are obtained in terms of the anomalous diffusion parameters. A particluar application to model the passive propagation of a postsynaptic potential along a spiny dendrite is described.
@incollection{statphys23_0692,
abstract = {We describe a fractional cable equation to model anomalously slow electrodiffusion of ions in nerve cells. Fundamental solutions are presented and results for firing rates and voltage attenuation are obtained in terms of the anomalous diffusion parameters. A particluar application to model the passive propagation of a postsynaptic potential along a spiny dendrite is described.},
added-at = {2007-06-20T10:16:09.000+0200},
address = {Genova, Italy},
author = {Henry, B.I. and Langlands, T.A.M. and Wearne, S.L.},
biburl = {https://www.bibsonomy.org/bibtex/24b2c4e20790534a3755e262340d9666f/statphys23},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano},
interhash = {773554e9cbcf3e496b26d429f07cab34},
intrahash = {4b2c4e20790534a3755e262340d9666f},
keywords = {anomalous cable electrodiffusion neuron statphys23 subdiffusion theory topic-10},
month = {9-13 July},
timestamp = {2007-06-20T10:16:27.000+0200},
title = {A Fractional Cable Equation for Anomaous Electrodiffusion in Nerve Cells},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=692},
year = 2007
}