Helicase activity on DNA as a propagating front

Abstract

We develop a propagating-front analysis, in terms of a local probability of zipping, for the helicase activity of opening up a double-stranded DNA (dsDNA). In a fixed-distance ensemble (conjugate to the fixed-force ensemble), the front separates the zipped and unzipped phases of a dsDNA and a drive acts locally around the front. Bounds from variational analysis and numerical estimates for the speed of a helicase are obtained. Different types of helicase behaviours can be distinguished by the nature of the drive.