Davidson Group Mathematics

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Research

Fordyce Davidson

Dr. Fordyce A Davidson

 

Position : Reader

E-Mail : fdavidson_AT_ maths.dundee.ac.uk

Research Overview

Our research interests spread across two complementary areas: (i) the quantitative study of biological systems (biology focussed) (ii) the analysis of differential equations models arising from biology (maths focussed). Most of our recent work has been aimed at developing a better understand of the complex, systems (multi-scale) behaviour of microbes. In parallel, we continue to work on understanding the solution structure of ordinary, partial and functional differential equations, in particular reaction-diffusion-convection systems, arising from a variety of biological applications.

Laoshen Lee

Laoshen Lee

 

Position : PhD Student

E-Mail : laoshenlee_AT_ maths.dundee.ac.uk

Pattern Formation in Biofilms. PhD Funding: EPSRC DTA

Biofilms are microbial communities that are encased in extracellular polymeric substances (EPS). The EPS matrix provides bacteria several functions that makes biofilm even more difficult to deal with in real life, such as protecting bacteria from environmental changes to make the microbial community more stable.

My project will focus on mathematical models to get a better understanding of the function of EPS. Work will be of constructing and analysis of partial differential equations. Numerical simulations are also used to enable us to better understand the processes.

Fordyce Davidson

Heather Wallace

 

Position : PhD Student

E-Mail : hwallace_AT_ maths.dundee.ac.uk

Modelling Biofilm Development. PhD Funding: UoD Queen's Scholar.

Biofilms are a multicellular community of bacteria encased within a self-produced polymeric matrix. It is thought that over 90% of bacteria in the natural environment exist in this form.

Mathematical modelling of large-scale organisation in biofilms, and the topic of gene regulatory networks, have been studied in-depth. However, it appears that little modelling work has been conducted on linking processes across these scales. This will be the focus of my project, with the aim being to better understand how perturbations to gene transcription pathways within isogenic cell populations can lead to changes in macro-scale organisation and function in biofilms.

Liang Wang

Liang Wang

 

Position : PhD Student

E-Mail : liang_AT_ maths.dundee.ac.uk

Nonlinear feedback and stochastic control in complex interacting gene networks. PhD Funding: NRP.

This project will focus on the construction and analysis of stochastic differential equations. The main application will be to gene regulatory networks. It is known that noise plays an important role in determining the response of genes to environmental signals. Work will be of a purely theoretical nature. Numerical analysis and scientific computing will be used to augment model building and the application and development of mathematical tools with which to study these stochastic processes.

Research Supported By

MRC SULSA EPSRC Wellcome Trust BBSRC Dundee University