Edward Rolls


Personal photo - Edward Rolls
Doctoral Student at the

Mathematical Institute, Andrew Wiles Building, Woodstock Road, Oxford OX2 6GG

Research Interests

DPhil Project Name and Abstract

Multiscale Modelling of DNA Dynamics supervised by Radek Erban
Abstract: Our genetic material is stored in 23 pairs of chromosomes each made up of a single long filament of DNA. The DNA filament is folded into shapes which are in turn folded into progressively larger structures until the entire chromosome is formed. This folding acts to both save space and act as a regulator for the expression levels of genetic information. Over the past 80 years, there have been multiple attempts to model long polymer chains on a variety of scales, varying from macroscopic models of the filament chain, to atomistic models considering forces between individual atoms. These models generally operate on only a single scale, so modellers have to choose between more realistic but computationally expensive models which operate on smaller scales, or faster, less realistic models on larger scales. The research problem which we consider is to investigate whether a multiscale approach could be useful to model dynamics of DNA to allow us to study realistic models on large scales, so that in regions of interest a more detailed, finer model could be used but in regions which are less important a coarser model can be used. This seeks to give the required amount of detail in all regions, while minimizing computational load. One of the big challenges in this DPhil will be ensuring that the multiscale model is consistent and stable between regions whilst being faster and more accurate than existing models. This project falls within the ESPRC 'Biophysics and Soft Matter Physics' research area as the modelling of long biological polymers is an area of biophysics.

DTC Short Projects

As a part of the DTC, at the end of our first year we undertake two short projects, before selecting one of them for our full DPhil. The two projects which I studied were:

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