Inverse problems related to ion channels |
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Authors: | Kattrin Arning Martin Burger Robert S. Eisenberg Heinz W. Engl Lin He |
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Affiliation: | 1. Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Altenbergerstr. 69, 4040 Linz, Austria;2. Institute for Numerical and Applied Mathematics, University of Münster, Einsteinstr. 62, 48149 Münster, Germany;3. Department of Molecular Biophysics & Physiology, Rush University Medical Center, Chicago, USA |
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Abstract: | 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) |
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