Journal Article

An adjoint method for channel localization

Steven J. Cox

in Mathematical Medicine and Biology: A Journal of the IMA

Published on behalf of Institute of Mathematics and its Applications

Volume 23, issue 2, pages 139-152
Published in print June 2006 | ISSN: 1477-8599
Published online June 2006 | e-ISSN: 1477-8602 | DOI:
An adjoint method for channel localization

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  • Applied Mathematics
  • Biomathematics and Statistics


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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.

Keywords: nonuniform cable; analytical gradient; lagrange multiplier

Journal Article.  0 words. 

Subjects: Applied Mathematics ; Biomathematics and Statistics

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