Geodesic
Probabilistic Interpretation for the Nonlinear Poisson-Boltzmann Equation in Molecular Dynamics
Nicolas Perrin1
1 TOSCA project-team, INRIA Sophia Antipolis, France
ESAIM. Proceedings, Tome 35 (2012), pp. 174-183.

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The Poisson-Boltzmann (PB) equation describes the electrostatic potential of a biomolecular system composed by a molecule in a solvent. The electrostatic potential is involved in biomolecular models which are used in molecular simulation. In consequence, finding an efficient method to simulate the numerical solution of PB equation is very useful. As a first step, we establish in this paper a probabilistic interpretation of the nonlinear PB equation with Backward Stochastic Differential Equations (BSDEs). This interpretation requires an adaptation of existing results on BSDEs.
DOI : 10.1051/proc/201235011

Nicolas Perrin 1

1 TOSCA project-team, INRIA Sophia Antipolis, France 
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Nicolas Perrin. Probabilistic Interpretation for the Nonlinear Poisson-Boltzmann Equation in Molecular Dynamics. ESAIM. Proceedings, Tome 35 (2012), pp. 174-183. doi : 10.1051/proc/201235011. http://geodesic.mathdoc.fr/articles/10.1051/proc/201235011/

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