Kernel representations for flux and concentration in ion channel models with time-varying concentrations

Juan Alvarez, Bruce Hajek

Research output: Contribution to journalArticlepeer-review

Abstract

This paper explores stochastic models for the study of ion transport in biological cells. It considers one-dimensional models with time-varying concentrations at the boundaries. The average concentration and flux in the channel are obtained as kernel representations, where the kernel functions have a probabilistic interpretation which contributes to a better understanding of the models. In particular, the kernel representation is given for the flux at a boundary point, providing a correct version of a representation found in the literature. This requires special attention because one of the kernel functions exhibits a singularity. This kernel representation is feasible due to the linearity of the system that arises from the assumed independence between ions.

Original languageEnglish (US)
Article number164703
JournalJournal of Chemical Physics
Volume125
Issue number16
DOIs
StatePublished - 2006

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

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