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Journal of Computational Electronics

, Volume 4, Issue 1–2, pp 153–156 | Cite as

An Application of the Recombination and Generation Theory by Shockley, Read and Hall to Biological Ion Channels

  • Sai Hu
  • Karl Hess
Article

Abstract

We have applied the Shockley-Read-Hall (SRH) model for the generation and recombination of charged carriers to biological ion channels. We show how to include this important effect in the traditional PNP model. The idea is to use the software of computational electronics that has been developed to solve Shockley’s equations. In particular we have used the simulator PROPHET to simulate biological ion channels and to include particle like properties and dynamics such as the capture and release of ions. The considerable reduction of effective diffusion coefficients can be well simulated. The saturation effect observed in current-concentration curves, which is not predicted by the conventional PNP model, has been successfully reproduced in our simulation. We also show that PROPHET can be used to perform both steady state and time dependent simulations for ion channels. The timescale can be microseconds, far beyond the range of molecular dynamics simulations. Our results demonstrate the useful role of PROPHET simulations in a multi-scale simulation approach.

Keywords

Shockley-Read-Hall (SRH) Poisson-Nernst-Planck (PNP) PROPHET 

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Copyright information

© Springer Science + Business Media, Inc. 2005

Authors and Affiliations

  • Sai Hu
    • 1
  • Karl Hess
    • 1
  1. 1.Beckman InstituteUniversity of IllinoisUrbana

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