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ChannelKinetics: Packages for Modeling Ion Channel Kinetics
Author

Arnd Roth
Organization: Max-Planck-Institut für Medizinische Forschung
Old MathSource #

0205-782
Revision date

1994-12-26
Description

The ChannelKinetics Packages implement parts of "Relaxation and fluctuations of membrane currents that flow through drug-operated channels" by D. Colquhoun & A.G. Hawkes, Proc. R. Soc. Lond. B 199, 231-262 (1977). Assuming a discrete state, continuous time Markov model for the behavior of ligand-gated ion channels, and given the transition rate constants between these states, the time evolution of their occupancy can be computed. This occupancy is then used to predict observables like the mean transmembrane current and its coefficient of variation. ColquhounHawkes.m numerically integrates the occupancy equation, which allows for arbitrary transmitter concentration functions of time. ColquhounHawkesMC.m performs a Monte Carlo simulation of the channel state transitions. In order to be fast, it uses some C routines via MathLink.
Subject

*Science > Biology
Keywords

Kinetics Life Sciences, Applied Mathematics, mass action, Markov process, ligand-gated ion channels, ion channel, patch clamp, single channel recording, synapse, physiology, system identification
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README.txt (3.3 KB) - Introduction and file descriptions
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ColquhounHawkes.m (11.8 KB) - Numerically solves the occupancy ODE
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ColquhounHawkesMC.m (33.4 KB) - Package for Monte Carlo simulation
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DiagramToQMatrix.m (6.3 KB) - Builds the transition rate matrix
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Manual.nb (670.5 KB) - Documentation notebook, read this first
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NeuronInterface.m (4.6 KB) - Package for data transfer
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Talk.nb (890 KB) - Mathematica notebook reprinted from the 1994 European Mathematica Conference, Oxford
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chmc.tm (34.7 KB) - MathLink templates and C routines for MC sim.

Files specific to Mathematica 2.2 version:
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Manual.ma (358.6 KB) - Documentation notebook, read this first
Download
Talk.ma (674.7 KB) - Mathematica notebook reprinted from the 1994 European Mathematica Conference, Oxford