DNA charge neutralisation by linear polymers I: irreversible binding

Maltsev, Eugene and Wattis, Jonathan AD 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
Schools/Departments:Faculty of Science > School of Mathematical Sciences
ID Code:935
Deposited By:Wattis, Jonathan
Deposited On:15 Aug 2008 15:59
Last Modified:27 Jun 2011 11:15

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