Professor Des Higham

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Contact Details

Room No. L945
Telephone +44 (0)141 548 3716
Fax +44 (0)141 548 3345
email d.j.higham@strath.ac.uk
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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

Analysing multi-level Monte Carlo for options with non-globally Lipschitz payoff
Giles MB, Higham DJ and Mao X
Finance Stoch., 2009, 13(3), 403-413.
Evolving Graphs: Dynamical Models, Inverse Problems and Propagation
Grindrod P and Higham DJ
University of Strathclyde Department of Mathematics and Statistics Research Report, 2009, #26
Communicability betweenness in complex networks
Estrada E, Higham DJ and Hatano N
Physica a-Stat. Mech. Appl., 2009, 388, 764-774.
Zero, One and Two-Switch Models of Gene Regulation
Somkid Intep and Desmond J Higham
University of Strathclyde Mathematics Research Report, 2009, #23
New controls of TCA-cycle genes revealed in networks built by discretization or correlation
J Keith Vass, Des J Higham, Xuerong Mao, Daniel Crowther
2009, #10

View all of Des Higham's Publications.

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.

PLEASE CLICK ON `Homepage for Des Higham'  TO SEE MY PERSONAL HOMEPAGE