2015
DOI: 10.1021/acs.jcim.5b00341
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Applications of MMPBSA to Membrane Proteins I: Efficient Numerical Solutions of Periodic Poisson–Boltzmann Equation

Abstract: Continuum solvent models have been widely used in biomolecular modeling applications. Recently much attention has been given to inclusion of implicit membrane into existing continuum Poisson-Boltzmann solvent models to extend their applications to membrane systems. Inclusion of an implicit membrane complicates numerical solutions of the underlining Poisson-Boltzmann equation due to the dielectric inhomogeneity on the boundary surfaces of a computation grid. This can be alleviated by the use of the periodic bou… Show more

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Cited by 30 publications
(45 citation statements)
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References 92 publications
(251 reference statements)
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“…Implementation of an implicit membrane is currently available in packages such as APBS 32 , Delphi 33, 37 , and both the Amber 16 1 and AmberTools 16 2 suites. With the implementation of an implicit membrane model into the Amber/PBSA program 38-42 , the implicit membrane model can be more readily interfaced with the existing MMPBSA framework 3-8 .…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…Implementation of an implicit membrane is currently available in packages such as APBS 32 , Delphi 33, 37 , and both the Amber 16 1 and AmberTools 16 2 suites. With the implementation of an implicit membrane model into the Amber/PBSA program 38-42 , the implicit membrane model can be more readily interfaced with the existing MMPBSA framework 3-8 .…”
Section: Introductionmentioning
confidence: 99%
“…Even in its simplified linear form, solving the PBE is a non-trivial endeavor. Due to its complexity, there is no general closed form solution; a numerical solution must be sought with the exception of very simplified geometries 27, 38-40, 42, 48, 59, 60, 84-115 . A semi-analytical Generalized Born (GB) equation was also developed to approximate the PBE solution and is quite popular in biomolecular applications.…”
Section: Introductionmentioning
confidence: 99%
“…This labeling scheme has been extended to map all commonly used surfaces, SES, Solvent-Accessible Surface (SAS), van der Waals Surface (VDW), and Density Function Surface (DEN) in recent Amber and AmberTools releases 36, 43, 80, 82, 87, 134, 135 . To minimize the interference to existing procedures and maximize efficiency, a separate integer array is used to label whether a grid point is inside the membrane ( >0) or outside the membrane ( =0).…”
Section: Methodsmentioning
confidence: 99%
“…Numerical solutions are required for biomolecular applications due to their complex shapes 22, 36, 44, 45, 48-87 . Efficient numerical PBE-based solvent models have been widely used to study biological processes including predicting pKa values 88-91 , computing salvation and binding free energies 92-101 , and protein folding 102-112 .…”
Section: Introductionmentioning
confidence: 99%
“…The hydrogen bond is defined when the distance between donor and acceptor atoms less than 3.5 Å and the hydrogen bonding angle larger than 120°. Binding free energies were calculated with the MM/PBSA method (python script) from the Amber 12 package for the equilibrium conformers50515253545556575859. All figures were plotted using OriginPro 9.1.…”
Section: Methodsmentioning
confidence: 99%