Models of Membrane Electrostatics

Biology – Quantitative Biology – Quantitative Methods

Scientific paper

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12 pages, 8 figures

Scientific paper

I derive formulas for the electrostatic potential of a charge in or near a membrane modeled as one or more dielectric slabs lying between two semi-infinite dielectrics. One can use these formulas in Monte Carlo codes to compute the distribution of ions near cell membranes more accurately than by using Poisson-Boltzmann theory or its linearized version. Here I use them to discuss the electric field of a uniformly charged membrane, the image charges of an ion, the distribution of salt ions near a charged membrane, the energy of a polarized molecule near a lipid slab, and the effect of including the phosphate head groups as thin layers of high electric permittivity.

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