The Calculus of Boundary Variations and the Dielectric Boundary Force in the Poisson–Boltzmann Theory for Molecular Solvation

Author:

Li BoORCID,Zhang Zhengfang,Zhou Shenggao

Funder

National Science Foundation

National Institutes of Health

Natural Science Foundation of Zhejiang Province

Natural Science Foundation of Jiangsu Province

National Natural Science Foundation

National Key R&D Program

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Engineering,Modeling and Simulation

Reference58 articles.

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2. Andelman, D.: Electrostatic properties of membranes: the Poisson-Boltzmann theory. In: Lipowsky, R., Sackmann, E. (eds.) Handbook of Biological Physics, vol. 1, pp. 603–642. Elsevier, Amsterdam (1995)

3. Baker, N.A., Sept, D., Joseph, S., Holst, M.J., McCammon, J.A.: Electrostatics of nanosystems: application to microtubules and the ribosome. Proc. Natl. Acad. Sci. USA 98, 10037–10041 (2001)

4. Boothby, W.M.: An Introduction to Differentiable Manifolds and Riemannian Geometry, volume 120 of Pure and Applied Mathematics, 2nd edn. Academic Press, New York (2002)

5. Bucur, D., Buttazzo, G.: Variational Methods in Shape Optimization Problems. Progress in Nonlinear Differential Equations and Their Applications, Birkhäuser, Boston (2005)

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Integrability and dynamics of the Poisson–Boltzmann equation in simple geometries;Communications in Nonlinear Science and Numerical Simulation;2024-03

2. Variational implicit solvation with Legendre-transformed Poisson–Boltzmann electrostatics;Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences;2024-03

3. The Dielectric Boundary Force in Molecular Solvation of the Generalized Poisson–Boltzmann Equation with Ionic Sizes;International Journal of Computational Methods;2023-03-28

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