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University of Illinois at Urbana-Champaign

Discrete Stochastic Modeling of Ion Channels

Abstract

dc:description

Kernel representations are obtained for the concentration and flux away from equilibrium, where the kernel functions have a probabilistic interpretation. This is done in a discrete space model and also in its diffusion limit. In particular, the kernel representation is given for the flux at a boundary for the diffusion model. This requires special attention since one of the kernel functions exhibits a singularity.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Electrical Engineering
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2015

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Alvarez, Juan
Contributors dc:contributor
  • Hajek, Bruce

Subjects

dc:subject × 1

Rights

Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
(MiAaPQ)AAI3153235
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/80868

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Alvarez, Juan. Discrete Stochastic Modeling of Ion Channels. Dissertation thesis, University of Illinois at Urbana-Champaign, 2015. http://hdl.handle.net/2142/80868