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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
45/2010

Self-consistent-field theory investigation of behavior of hyaluronic acid chains in aqueous salt solution

Evgeny Nogovitsyn and Yurij Budkov

Abstract

In this work we develop a field-theoretic methodology, which combines the concept of Gaussian equivalent representation for functional integrals with the continuous Gaussian thread model of flexible polymers for solving statistical-mechanical problems of polyelectrolyte solutions. We demonstrate the applicability of the method for systems of polyelectrolyte chains where the monomers interact via Yukawa-type pair potential. We develop the corresponding formulas and employ them to calculate structural and thermodynamic quantities of the polyelectrolyte system. As a specific example, the present work focuses on the aqueous solution of hyaluronic acid with added salts $NaCl$ and $CaCl_{2}$.

Hyaluronic acid is a high molecular weight linear polysaccharide, which has a multitude of roles in biological tissues. We conclude that the effect of sodium chloride and calcium chloride on the osmotic properties of hyaluronic acid solutions can be accounted for by their contributions to the ionic strength. Nevertheless, the effects of coiling and self-association can be stimulated in solution by added salt.

Received:
Aug 10, 2010
Published:
Aug 11, 2010
MSC Codes:
81S40, 82-XX, 82D60
PACS:
61.25he
Keywords:
functional integral, partition functions, polyelectrolyte solution

Related publications

inJournal
2012 Repository Open Access
Evgeny A. Nogovitsyn and Yurij A. Budkov

Self-consistent field theory investigation of behavior of hyaluronic acid chains in aqueous salt solution

In: Physica / A, 391 (2012) 8, pp. 2507-2517