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https://hdl.handle.net/2142/80868
Description
Title
Discrete Stochastic Modeling of Ion Channels
Author(s)
Alvarez, Juan
Issue Date
2004
Doctoral Committee Chair(s)
Hajek, Bruce
Department of Study
Electrical Engineering
Discipline
Electrical Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Electronics and Electrical
Language
eng
Abstract
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.
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