Homogenization Results for Ionic Transport in Periodic Charged Media

Authors

  • Claudia Timofte University of Bucharest

DOI:

https://doi.org/10.11145/75

Abstract

A macroscopic model for a nonlinear system of coupled partial diffe\-rential equations arising in the modeling of ionic transport phenomena in periodic charged porous media is rigorously derived.

Our model can serve as a tool for biophysicists to analyze the ion transport through protein channels. Ion channels are very important inВ  biology, because they control many vital biological functions, such as information transfer and processing in the nervous system, the muscle contraction and coordination, the regulation of hormone secretion, etc.

Also, this setting proves to be relevant in the modeling of the flow of electrons and holes in a semiconductor device.

The main tool for obtaining our macroscopic model is the use of the periodic unfolding method, which allows us to deal with general media.

Downloads

Published

2013-04-22

Issue

Pilot Issue

Section

Conference Contributions

License

The journal Biomath Communications is an open access journal. All published articles are immeditely available online and the respective DOI link activated. All articles can be access for free and no reader registration of any sort is required. No fees are charged to authors for article submission or processing. Online publications are funded through volunteer work, donations and grants.

Authors who publish with this journal agree to the following terms:

  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).