An adjoint method for channel localization

Mathematical Medicine and Biology : a Journal of the IMA
Steven J Cox

Abstract

Single cells learn by tuning their synaptic conductances and redistributing their excitable machinery. To reveal its learning rules, one must therefore know how the cell remaps its ion channels in response to physiological stimuli. We here develop an adjoint approach for discerning the non-uniform distribution of a given channel type from knowledge of the time course of membrane potential at two distinct locations following a prescribed injection of current.

Citations

Feb 1, 2012·Journal of Mathematical Biology·Jay Raol, Steven J Cox
Apr 25, 2012·Journal of Mathematical Biology·Sergei Avdonin, Jonathan Bell
May 12, 2007·Journal of Computational Neuroscience·Yuan He, David E Keyes
Aug 16, 2016·IMA Journal of Applied Mathematics·S Feng, P Holmes
Jul 7, 2020·Journal of Computational Neuroscience·Jemy A Mandujano ValleAntonio Leitão

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