title: Charge density identification in ion channels.
abstract: Biological channels permeate ions through cell membranes. Ion channels carry a permanent charge that has a significant role in determining channel's permeation properties such as selectivity to certain ions, current amplitude, etc. In this paper we deal with the determination of the permanent charge from current-voltage curves. The ion channel current behavior is modelled by Poisson-Nernst-Planck (PNP) equations system. Previous works on the fixed charge density identification problem contain several ill-posed steps and linearization of the nonlinear PNP system. We suggest here several methods to make these algorithms more stable and accurate.
authors.affiliation: Department of Mathematics, Technion-Israel Institute of Technology, Technion City 32000, Israel.
authors.forename: G
authors.initials: G
authors.lastname: Wolansky
authors.forename: A
authors.initials: A
authors.lastname: Taflia
mesh_terms: D004553:Electric Conductivity; D004583:Electrons; D007473:Ion Channels / Q000737:chemistry* / Q000378:metabolism*; D016014:Linear Models; D008954:Models, Biological; D016012:Poisson Distribution
chemical_list: D007473:Ion Channels