Cookies on this website

We use cookies to ensure that we give you the best experience on our website. If you click 'Accept all cookies' we'll assume that you are happy to receive all cookies and you won't see this message again. If you click 'Reject all non-essential cookies' only necessary cookies providing core functionality such as security, network management, and accessibility will be enabled. Click 'Find out more' for information on how to change your cookie settings.

We model the way in which polymers bind to DNA and neutralize its charged backbone by analyzing the dynamics of the distribution of gaps along the DNA. We generalize existing theory for irreversible binding to construct deterministic models which include polymer removal, movement along the DNA, and allow for binding with overlaps. We show that reversible binding alters the capacity of the DNA for polymers by allowing the rearrangement of polymer positions over a longer time scale than when binding is irreversible. When the polymers do not overlap, allowing reversible binding increases the number of polymers adhered and hence the charge that the DNA can accommodate; in contrast, when overlaps occur, reversible binding reduces the amount of charge neutralized by the polymers.

Original publication




Journal article


Physical review. E, Statistical, nonlinear, and soft matter physics

Publication Date





Centre for Mathematical Medicine, School of Mathematical Sciences, University Park, University of Nottingham, Nottingham, NG7 2RD, United Kingdom.


Polymers, DNA-Binding Proteins, DNA, Linear Models, Binding Sites, Protein Binding, Motion, Models, Chemical, Models, Molecular, Computer Simulation, Static Electricity