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• W1501106507 abstract "The cell-model and its treatment on the Poisson-Boltzmann level are two important concepts in the theoretical description of charged macromolecules. In this brief contribution we provide an introduction to both ideas and summarize a few important results which can be obtained from them. Our article is organized as follows: Section 1 outlines the sequence of approximations which ultimately lead to the cell-model. Section 2 is devoted to two exact results, namely, an expression for the osmotic pressure and a formula for the ion density at the surface of the macromolecule, known as the contact value theorem. Section 3 provides a derivation of the Poisson-Boltzmann equation from a variational principle and the assumption of a product state. Section 4 applies Poisson-Boltzmann theory to the cell-model of linear polyelectrolytes. In particular, the behavior of the exact solution in the limit of zero density is compared to the concept of Manning condensation. Finally, Section 5 shows how a system described by a cell model can be coupled to a salt reservoir, i.e., how the so-called Donnan equilibrium is established." @default.
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• W1501106507 date "2001-01-01" @default.
• W1501106507 modified "2023-10-04" @default.
• W1501106507 title "Cell Model and Poisson-Boltzmann Theory: A Brief Introduction" @default.
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• W1501106507 doi "https://doi.org/10.1007/978-94-010-0577-7_2" @default.
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