1998
DOI: 10.1103/physreve.58.3654
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Computer simulation of ion conductance in membrane channels

Abstract: We present a method for calculation of electric forces in biological channels, which facilitates microscopic modeling of ion transport in channels using computer simulation. The method is based on solving Poisson's equation on a grid and storing the electric potential and field for various configurations in a table. During simulations, the potential and field at any point are calculated by interpolating between table entries rather than solving Poisson's equation. This speeds up computer simulations by orders … Show more

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Cited by 64 publications
(84 citation statements)
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“…The electrostatic potential energy profile for various ion configurations in the channel is calculated from the numerical solutions of Poisson's equation by using the boundary element method (29). Energies of multiple ion systems are calculated with a steepest descent algorithm (3).…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…The electrostatic potential energy profile for various ion configurations in the channel is calculated from the numerical solutions of Poisson's equation by using the boundary element method (29). Energies of multiple ion systems are calculated with a steepest descent algorithm (3).…”
Section: Methodsmentioning
confidence: 99%
“…The Langevin equation is solved with the algorithm of van Gunsteren and Berendsen (30), by using the techniques described elsewhere (3,31,32). Electrostatic forces are determined by solving Poisson's equation with the boundary sector method (33), employing lookup table techniques (29,35). To simulate the effects of short-range forces, we employ a multiple time-step algorithm, where a short time-step of 2 fs is used in the narrow selectivity filter and a long time-step of 100 fs is used in the outer and inner vestibules and reservoirs.…”
Section: Methodsmentioning
confidence: 99%
“…To reduce these requirements, Chung and co-workers assumed an azimuthal symmetry of the dielectric boundary and store the reaction field Green's function in a fivedimensional table. 6,7,10,17 These difficulties are circumvented by expressing the ion charge distribution in the simulation region using a normalized basis set ͕b m (r)͖ with N basis functions,…”
Section: ͑13͒mentioning
confidence: 99%
“…To avoid this problem, Chung and co-workers have used an interpolation method and a large look-up table to store a discretized representation of the Green's function of the system. 6,7,10,17 The reaction field energy of a given ion configuration can be reconstructed from the stored information. A similar method was used by Coalson and co-workers.…”
Section: Introductionmentioning
confidence: 99%
“…The value is reduced to 0.1 of the bulk value in the narrow selectivity filter and 0.5 of the bulk value elsewhere in the channel, as determined by molecular dynamics calculations [16]. For further details of stochastic dynamics simulations, see Hoyles et al [17].…”
mentioning
confidence: 99%