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1 y numerical evaluation using the generalized Poisson-Boltzmann equation.
2 tant derived from solutions to the nonlinear Poisson-Boltzmann equation.
3  of these four NH(3)/NH(4)(+) by solving the Poisson-Boltzmann equation.
4  structures using numerical solutions to the Poisson-Boltzmann equation.
5 s calculated from numerical solutions to the Poisson-Boltzmann equation.
6 ased upon finite difference solutions of the Poisson-Boltzmann equation.
7 ved form of the ribozyme using the nonlinear Poisson-Boltzmann equation.
8  site are computed by solving the linearized Poisson-Boltzmann equation.
9 sed on the finite difference solution to the Poisson-Boltzmann equation.
10  obtained from solving the finite-difference Poisson-Boltzmann equation.
11 finite difference method to solve the linear Poisson-Boltzmann equation.
12  model dependent solutions of the linearized Poisson-Boltzmann equation.
13  of ions about the polyion via the nonlinear Poisson-Boltzmann equation.
14 local potential and extend the limits of the Poisson-Boltzmann equation.
15 ct numerical calculations based on nonlinear Poisson-Boltzmann equations.
16  the solvent and mobile ions (by solving the Poisson-Boltzmann equation and accounting for finite ion
17 s: an implicit solvent approach based on the Poisson-Boltzmann equation and an explicit solvent appro
18  Bw4/Bw6 epitope was computed by solving the Poisson-Boltzmann equation and quantitatively compared i
19 ostatic interaction by solving the nonlinear Poisson-Boltzmann equation, and predict the molar partit
20  based on finite difference solutions to the Poisson-Boltzmann equation applied to atomic models of h
21 retical electrostatic calculations using the Poisson-Boltzmann equation as a model for a solute molec
22  the RNA and are accurately described by the Poisson-Boltzmann equation as an ensemble distributed ac
23 on, exact and linearized forms of the planar Poisson-Boltzmann equation, as well as the construction
24 ptotic solution of the cylindrical nonlinear Poisson-Boltzmann equation at low to moderate concentrat
25                Our results indicate that the Poisson-Boltzmann equation captures much of the physical
26 tionally based on numerical solutions of the Poisson-Boltzmann equation carried out using a high-reso
27 tatic properties obtained by solution of the Poisson-Boltzmann equation combined with a surface area-
28 ifts are reproduced by a model, based on the Poisson-Boltzmann equation coupled with charge-regulatin
29       The analytic solution to the nonlinear Poisson-Boltzmann equation describing the ion distributi
30 finite difference solution to the linearized Poisson-Boltzmann equation (FDPB) and solvation entropy
31  calculated from a nonlinear solution of the Poisson-Boltzmann equation for channels with a parallel-
32 nable the trivially parallel solution of the Poisson-Boltzmann equation for supramolecular structures
33              pK(a) calculations based on the Poisson-Boltzmann equation have been widely used to stud
34 elucidate the electrostatic potential is the Poisson-Boltzmann equation; however, existing methods fo
35                Valences calculated using the Poisson-Boltzmann equation indicate that negative charge
36 potential has also been quantified using the Poisson-Boltzmann equation, leading to faithful estimate
37                          A calculation using Poisson-Boltzmann equation module supports that Asp40 in
38           Our approach centers on use of the Poisson-Boltzmann equation of classical electrostatics,
39                           Because the linear Poisson-Boltzmann equation (PBE) and the more approximat
40 ctions of two simplified models based on the Poisson-Boltzmann equation (PBM) and the Smoluchowski's
41 ons using finite difference solutions of the Poisson-Boltzmann equation provide a value of the pKa di
42                           Using a non-linear Poisson-Boltzmann equation, quantitative computations of
43 finite difference solution to the linearized Poisson-Boltzmann equation reproduce the observed energe
44            Calculations using the linearized Poisson-Boltzmann equation show that the effective pKa o
45                          Theory based on the Poisson-Boltzmann equation shows that the rate of spin r
46 oach is applied to discretize the linearized Poisson-Boltzmann equation; the resulting integral formu
47         As predicted from application of the Poisson-Boltzmann equation to atomic models of the pepti
48 cal electrostatics, we applied the nonlinear Poisson-Boltzmann equation to atomic models of the phosp
49 used them in calculations with the nonlinear Poisson-Boltzmann equation to estimate the change in Mg2
50 his potential of mean force in a generalized Poisson-Boltzmann equation to predict the full ion distr
51 d all terms obtained from application of the Poisson-Boltzmann equation to the TAT liposome SHG data,
52 dence on salt concentration.) The non-linear Poisson-Boltzmann equation was used to calculate the sam
53 inite difference solutions of the linearized Poisson-Boltzmann equation, we then calculated the pH-de
54 ics calculations, solutions to the nonlinear Poisson-Boltzmann equation were used to compute the pote
55 silon(p) of 6-20 used in models based on the Poisson-Boltzmann equation when calculating thermodynami
56 based on a finite-difference solution to the Poisson-Boltzmann equation, which considers desolvation
57 sults of calculations based on the nonlinear Poisson-Boltzmann equation, which describes the interact
58  density is calculated using the cylindrical Poisson-Boltzmann equation with a distance-dependent qua
59 tribution, which was obtained by solving the Poisson-Boltzmann equation, with a surface-area-dependen
60                        SHG together with the Poisson-Boltzmann equation yielded the dependence of the

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