Probabilistic Interpretation for the Nonlinear Poisson-Boltzmann Equation in Molecular Dynamics

Perrin, Nicolas. Denis Poisson, Fédération, and Trélat, E., eds. " Probabilistic Interpretation for the Nonlinear Poisson-Boltzmann Equation in Molecular Dynamics ." ESAIM: Proceedings 35 (2012): 174-183. <http://eudml.org/doc/251282>.

@article{Perrin2012,
abstract = {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. },
author = {Perrin, Nicolas},
editor = {Denis Poisson, Fédération, Trélat, E.},
journal = {ESAIM: Proceedings},
language = {eng},
month = {4},
pages = {174-183},
publisher = {EDP Sciences},
title = { Probabilistic Interpretation for the Nonlinear Poisson-Boltzmann Equation in Molecular Dynamics },
url = {http://eudml.org/doc/251282},
volume = {35},
year = {2012},
}

TY - JOUR
AU - Perrin, Nicolas
AU - Denis Poisson, Fédération
AU - Trélat, E.
TI - Probabilistic Interpretation for the Nonlinear Poisson-Boltzmann Equation in Molecular Dynamics
JO - ESAIM: Proceedings
DA - 2012/4//
PB - EDP Sciences
VL - 35
SP - 174
EP - 183
AB - 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.
LA - eng
UR - http://eudml.org/doc/251282
ER -