DNA charge neutralisation by linear polymers I: irreversible binding

Maltsev, Eugene, Wattis, Jonathan A.D. and Byrne, Helen M. (2006) DNA charge neutralisation by linear polymers I: irreversible binding. Physical Review E, 74 . 011904. ISSN 1539-3755

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We develop a deterministic mathematical model to describe the way

in which polymers bind to DNA by considering the dynamics of the

gap distribution that forms when polymers bind to a DNA plasmid.

In so doing, we generalise existing theory to account for overlaps

and binding cooperativity whereby the polymer binding rate depends

on the size of the overlap The proposed mean-field models are then

solved using a combination of numerical and asymptotic methods. We

find that overlaps lead to higher coverage and hence higher charge

neutralisations, results which are more in line with recent

experimental observations. Our work has applications to gene

therapy where polymers are used to neutralise the negative charges

of the DNA phosphate backbone, allowing condensation prior to

delivery into the nucleus of an abnormal cell.

Item Type: Article
RIS ID: https://nottingham-repository.worktribe.com/output/1019290
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Depositing User: Wattis, Jonathan
Date Deposited: 15 Aug 2008 14:59
Last Modified: 04 May 2020 20:30
URI: https://eprints.nottingham.ac.uk/id/eprint/935

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