PLEASE CLICK ON `Homepage for Des Higham' TO SEE MY PERSONAL HOMEPAGE
Contact Details
| Room No. | LT1042 (L945) |
|---|---|
| Telephone | +44 (0)141 548 3716 |
| Fax | +44 (0)141 548 3345 |
| d.j.higham@strath.ac.uk | |
| Home Page | Homepage for Des Higham |
Research Interests
Numerical analysis, the design and evaluation of computational methods
Specific interests: stochastic computation with applications in computational biology and mathematical finnace.
For much more detail please go to my Personal Home Page.
Recent Publications
- Stochastic ordinary differential equations in applied and computational mathematics
- Higham DJ
University of Strathclyde Mathematics and Statistics Research Report, 2010, #7, 1-32. - Is it safe to go out yet? Statistical inference in a zombie outbreak model
- Calderhead B, Girolami M and Higham DJ
University of Strathclyde Mathematics and Statistics Research Report, 2010, #6, 1-21. - Geometric de-noising of protein-protein interaction networks
- Kuchaiev O, Rasajski M, Higham DJ and Przulj N
PLoS Computational Biology, 2009, 5, 1-10. - Zero, one and two-switch models of gene regulation
- Intep Somkid and Higham DJ
Discrete and Continuous Dynamical Systems - Series B, 2009 - Periodic reordering
- Grindrod P, Higham DJ and Kalna G
IMA Journal of Numerical Analysis, 2009
Vacancies & Studentships
Complex Networks in Biology
Reference No.: DJH1
Supervisor: Professor Des Higham
Date Advertised: 6th February 2007
Please contact Professor Des Higham for further information.
Several areas of experimental cell biology have produced networks. In mathematical terms these are graphs: eg the nodes may be proteins and a pair of proteins may be linked by an edge if they take part in a common function.
A current research activity involves modelling these networks (eg what underlying mechanisms are producing the connectivity patterns?) and searching for patterns (eg can we indentify proteins that have similar biological roles?).
PhD work in this area would involve a mix of computation (with matrices), discrete mathematics and possibly statistics.
There is also a possibility to engage with biological colleagues at the University of Glasgow and/or the Beatson Cancer Research Institute in Bearsden.
Stochastic Computation for Cell Biology
Reference No.: DJH2
Supervisor: Professor Des Higham
Date Advertised: 20th November 2007
Please contact Professor Des Higham for further information.
DNA, mRNA and proteins are the fundamental building blocks that govern what happens inside our cells.
Some simple mathematical models have recently been developed and studied with the aim of understanding the control processes taking place.
Mathematical models and computational algorithms must take account of both the inherent noise in the system and the vast range of scales (fast/slow reactions many/few molecules of a species).
This project would analyse some recent models and develop efficient simulation tools.
This work would involve a mixture of analysis (differential equations), stochastics, and computation and there is potential for collaboration with life scientists.