The Mathematical Biology Group at Surrey conducts research in a wide range of areas of mathematical ecology and biology, ranging from ecological modelling to the study of mathematical models arising in physiology. The Group currently has the following membership:
 
 

Dr. S.A. Gourley	Dr. Gourley has worked on a wide range of problems arising in ecological modelling and has a special interest in the applications of modern nonlinear analysis to biological  problems.  His current areas of interest include delay equations, spatial pattern formation, travelling wave solutions, age-structured models, evolution and biodiversity. He has made important contributions to the theory of nonlocal equations, which arise frequently in population dynamics and epidemiology, most notably through having both age-structure and diffusion. Dr. Gourley's former PhD students are: Dr. David Schley (Department of Medical Physics and Bioengineering, Southampton General Hospital), Dr. J.F.M. Al-Omari (Al-Balqa Applied University, Jordan), Dr. D.L. Bennett who worked on various physiological and epidemiological problems, Dr. Y. Kyrychko (supervised also by M.V. Bartuccelli) who is currently at Bristol, and Dr. R.R.L Simons (supervised also by Dr. R. Hoyle) who worked on applications of functional differential equations to sand ripples and models of pest control. Dr Gourley's current interests include the modelling of mosquito borne illnesses such as Dengue fever and West Nile virus.
Prof. P.E. Hydon	Prof. Hydon joined the Group in 1996.  He has worked on physiological fluid dynamics, in collaboration with medical scientists. In the arteries, fatty deposits (known as atheroma) can form at particular sites on an arterial wall. These can grow and lead to blockage of the artery. They tend to form at sites where the flow is slow. Prof. Hydon and his collaborators have broken new ground in giving an exact description of the flow in nonuniformly twisted arterial models. It has been found that a twist can generate extensive regions of slow flow. This has enabled regions susceptible to atheroma to be identified. Gas flow and mixing in the airways of the lungs has been another area of intensive study. The aim of this work is to develop more effective methods of  ventilation of the lungs of patients with breathing difficulties. Dr. David Gammack and Dr. Susan Todd both completed their Ph.D's in this Group under Prof. Hydon's guidance. On the more pure side, Prof. Hydon also has interests in symmetry methods in differential equations.
Dr A. Skeldon	Dr. Skeldon is interested in applying ideas from dynamical systems theory to models of biological processes. She has worked on delay equations that model a kidney nephron, reaction-diffusion equations that arise in population dynamics and the spread of disease on networks. These complement her interests in pattern formation in physical systems.
Dr. F.E. Laine-Pearson	Dr. Laine-Pearson is interested in mathematical modelling and analysis of particle motion deep in the lung.  With Prof. P.E. Hydon, she investigates particle transport within developing alveoli.  She also collaborates with experimental scientist Dr A. Tsuda (Harvard School of Public Health) on explaining mathematical concepts to a physiological audience.  This is an interdisciplinary project that bridges a gap between mathematics and the biological sciences.  Dr Laine-Pearson is also interested in the theory and application of multisymplectic systems.  See her web pages for more details.
Mr. J. Rayman	Mr. Rayman is working under the guidance of Dr. Gourley on the mathematical modelling of epidemics with particular reference to tuberculosis in animal populations.
Mr. N. Robertson	Mr. Robertson is working for his Ph.D, under the guidance of Dr. A. Skeldon, on an investigation of the spatio-temporal dynamics of a predator-prey system.
Mr. A.  Terry	Mr. Terry is working for his Ph.D, under the guidance of Dr. Gourley, on the evolution of insect populations that are subject to eradication efforts.