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Mean-field theory of the interaction of the magnesium ion with biopolymers: the case of lysozyme
A statistical theory is presented of the magnesium ion interacting with lysozyme under conditions where the latter is positively charged. Temporarily assuming magnesium is not noncovalently bound to the protein, I solve the nonlinear Poisson–Boltzmann equation accurately and uniformly in a perturbat...
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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Springer Netherlands
2021
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8603982/ https://www.ncbi.nlm.nih.gov/pubmed/34586571 http://dx.doi.org/10.1007/s10867-021-09587-4 |
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author | Odijk, Theo |
author_facet | Odijk, Theo |
author_sort | Odijk, Theo |
collection | PubMed |
description | A statistical theory is presented of the magnesium ion interacting with lysozyme under conditions where the latter is positively charged. Temporarily assuming magnesium is not noncovalently bound to the protein, I solve the nonlinear Poisson–Boltzmann equation accurately and uniformly in a perturbative fashion. The resulting expression for the effective charge, which is larger than nominal owing to overshooting, is subtle and cannot be asymptotically expanded at high ionic strengths that are practical. An adhesive potential taken from earlier work together with the assumption of possibly bound magnesium is then fitted to be in accord with measurements of the second virial coefficient by Tessier et al. The resulting numbers of bound magnesium ions as a function of MgBr[Formula: see text] concentration are entirely reasonable compared with densitometry measurements. |
format | Online Article Text |
id | pubmed-8603982 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Springer Netherlands |
record_format | MEDLINE/PubMed |
spelling | pubmed-86039822021-11-24 Mean-field theory of the interaction of the magnesium ion with biopolymers: the case of lysozyme Odijk, Theo J Biol Phys Original Paper A statistical theory is presented of the magnesium ion interacting with lysozyme under conditions where the latter is positively charged. Temporarily assuming magnesium is not noncovalently bound to the protein, I solve the nonlinear Poisson–Boltzmann equation accurately and uniformly in a perturbative fashion. The resulting expression for the effective charge, which is larger than nominal owing to overshooting, is subtle and cannot be asymptotically expanded at high ionic strengths that are practical. An adhesive potential taken from earlier work together with the assumption of possibly bound magnesium is then fitted to be in accord with measurements of the second virial coefficient by Tessier et al. The resulting numbers of bound magnesium ions as a function of MgBr[Formula: see text] concentration are entirely reasonable compared with densitometry measurements. Springer Netherlands 2021-09-29 2021-12 /pmc/articles/PMC8603982/ /pubmed/34586571 http://dx.doi.org/10.1007/s10867-021-09587-4 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . |
spellingShingle | Original Paper Odijk, Theo Mean-field theory of the interaction of the magnesium ion with biopolymers: the case of lysozyme |
title | Mean-field theory of the interaction of the magnesium ion with biopolymers: the case of lysozyme |
title_full | Mean-field theory of the interaction of the magnesium ion with biopolymers: the case of lysozyme |
title_fullStr | Mean-field theory of the interaction of the magnesium ion with biopolymers: the case of lysozyme |
title_full_unstemmed | Mean-field theory of the interaction of the magnesium ion with biopolymers: the case of lysozyme |
title_short | Mean-field theory of the interaction of the magnesium ion with biopolymers: the case of lysozyme |
title_sort | mean-field theory of the interaction of the magnesium ion with biopolymers: the case of lysozyme |
topic | Original Paper |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8603982/ https://www.ncbi.nlm.nih.gov/pubmed/34586571 http://dx.doi.org/10.1007/s10867-021-09587-4 |
work_keys_str_mv | AT odijktheo meanfieldtheoryoftheinteractionofthemagnesiumionwithbiopolymersthecaseoflysozyme |