Derivatives of molecular surface area and volume: simple and exact analytical formulas |
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Authors: | Klenin Konstantin V Tristram Frank Strunk Timo Wenzel Wolfgang |
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Institution: | Steinbuch Center for Computing, Karlsruhe Institute of Technology, Karlsruhe, Germany. |
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Abstract: | The computational effort of biomolecular simulations can be significantly reduced by means of implicit solvent models in which the energy generally contains a correction depending on the surface area and/or the volume of the molecule. In this article, we present simple derivation of exact, easy-to-use analytical formulas for these quantities and their derivatives with respect to atomic coordinates. In addition, we provide an efficient, linear-scaling algorithm for the construction of the power diagram required for practical implementation of these formulas. Our approach is implemented in a C++ header-only template library. |
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Keywords: | molecular modeling implicit solvent models solvent accessible surface area molecular volume power diagram |
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