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Inverse problems related to ion channels
Author(s) -
Arning Kattrin,
Burger Martin,
Eisenberg Robert S.,
Engl Heinz W.,
He Lin
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700396
Subject(s) - ion , current (fluid) , channel (broadcasting) , nernst equation , nonlinear system , ion channel , partial differential equation , poisson's equation , inverse , ion transporter , process (computing) , poisson distribution , computer science , mathematics , physics , control theory (sociology) , chemistry , mathematical analysis , thermodynamics , telecommunications , statistics , artificial intelligence , electrode , geometry , receptor , quantum mechanics , control (management) , operating system , biochemistry
Ion channels are proteins with a hole down theirmiddle that allow ions to move across otherwise impermeable cellmembranes, thereby controlling many important physiological functions. The transport process of the ions can be described using the Poisson‐Nernst‐Plank equations, a system of coupled nonlinear partial differential equations. Based on this model we derive a simplified surrogate model that captures the main features of the associated current‐voltage curves of the ion channel. This surrogate model is then used to identify individual channel parameters based on current data. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)