Effect of intracellular diffusion on current--voltage                 curves in potassium channels

Daniele Andreucci; Dario Bellaveglia; Emilio N.M. Cirillo; Silvia Marconi

doi:10.3934/dcdsb.2014.19.1837

Article Contents

2014, Volume 19, Issue 7: 1837-1853. Doi: 10.3934/dcdsb.2014.19.1837

This issue Previous Article Viscoelastic fluids: Free energies, differential problems and asymptotic behaviour Next Article Mixed norms, functional Inequalities, and Hamilton-Jacobi equations

Effect of intracellular diffusion on current--voltage curves in potassium channels

1.
Dipartimento di Scienze di Base e Applicate per l'Ingegneria, Sapienza Università di Roma, via A. Scarpa 16, I-00161, Roma

Received: April 2013

Revised: July 2013

Published: September 2014

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Abstract

We study the effect of intracellular ion diffusion on ionic currents permeating through the cell membrane. Ion flux across the cell membrane is mediated by specific channels, which have been widely studied in recent years with remarkable results: very precise measurements of the true current across a single channel are now available. Nevertheless, a complete understanding of this phenomenon is still lacking, though molecular dynamics and kinetic models have provided partial insights. In this paper we demonstrate, by analyzing the KcsA current-voltage currents via a suitable lattice model, that intracellular diffusion plays a crucial role in the permeation phenomenon. We believe that the interplay between the channel behavior and the ion diffusion in the cell is a key ingredient for a full explanation of the current-voltage curves.

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Mathematics Subject Classification: Primary: 92B05, 60G50; Secondary: 92C37.

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