Integrodifference models of host-parasitoid interactions give rise to a wide range of travelling wave dynamics.
Mathematical Biology
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Host-parsitoid coinvasion
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Mountain pine beetle attack
In collaboration with entomologists we are using mathematical models to give insight into mountain pine beetle adaptation to changing temperatures.
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Intrinsic dynamics of a cardiac excitation model
The electrical properties of the cardiac myocytes are described by multi-component reaction-diffusion equations.
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Modelling of slug biocontrol
Models of the dynamics of agricultural pests can help optimize their biocontrol.
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Bioconvection patterns
Bioconvection patterns, as seen from above, due to hydrodynamic instabilities induced by the biased swimming motion of many negatively buoyant unicellular green algae.
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Modelling the mitrial valve
A human mitral valve model based on MRI, modelled with the Finite Element-Imersed Boundary method.
Mathematical Biology is the application of mathematical modelling to solve problems in biology and physiology. It is one of the fastest growing research areas in mathematics and is contributing significantly to our understanding of the biological world. It also produces new mathematical questions.
The Mathematical Biology Group is a member of the Centre for Mathematics Applied to the Life Sciences, established to promote interdisciplinary research and scholarship in Mathematical Biology. It is a joint centre of the Universities of Glasgow and Strathclyde, under the Synergy agreement. Our research interests are summarised here, but the list is not exhaustive and new projects are being started all the time. For more information and contact details, click on the links below.
Dr Martin A Bees Reader/EPSRC Advanced Research Fellow
Bioconvection; biofluids; biofuel production; biological control of pests; bacterial pattern formation; plankton patchiness
Member of other research groups: Fluids
Research staff: Otti Croze
Research students: Reem Almahmud, Bilal Usmani
Dr Christina A Cobbold Senior Lecturer
Population dynamics of ecological systems; spatial ecology; evolutionary ecology in changing environments
Member of other research groups: Biostatistics and Statistical Genetics
Research student: Suzanne Doig
Dr Otti Croze Postdoctoral Research Associate
Swimming algae; bioconvection; biofuel production
Member of other research groups: Fluids
Supervisor: Martin A Bees
Dr Hao Gao Postdoctoral Research Fellow
Heart Modelling; biomechancis; MRI; fluid-structure interactions
Supervisor: Xiaoyu Luo
Prof Nicholas A Hill Head of School
Random walk models for movement of micro-organisms and animals; spatial point processes in plant ecology
Member of other research groups: Solid Mechanics, Fluids
Research students: Reem Almahmud, Weiwei Chen, Beibei Li, Muhammad Umar Qureshi, Bilal Usmani, Lei Wang
Prof Kenneth A Lindsay Professor of Applied Mathematics
Point processes; structure of biological networks; financial mathematics
Research student: Faiza Allehiany
Prof Xiaoyu Luo Professor of Applied Mathematics
Biomechanics; fluid-structure interactions; mathematical biology ; solid mechanics
Member of other research groups: Solid Mechanics, Fluids
Research staff: Hao Gao, Wenguang Li, Yunfei Zhu
Research students: Andrew Allan, Weiwei Chen, Yujue Hao, Xingshuang Ma, Nan Qi, Lei Wang
Dr Radostin Simitev Lecturer
Reaction-diffusion equations; mathematical models of cardiac electrical excitation; pulse propagation in excitable systems
Member of other research groups: Fluids
Research student: Andrew Allan
Andrew Allan PhD Student
Research Topic: Electro-mechanical delay in isolated rabbit hearts
Supervisors: Xiaoyu Luo, Radostin Simitev
Faiza Allehiany PhD Student
Research Topic: Correlation structure of large scale biological neural networks
Supervisor: Kenneth A Lindsay
Reem Almahmud PhD Student
Research Topic: Wavelet analysis of bioconvection and mixed suspensions
Supervisors: Martin A Bees, Nicholas A Hill
Weiwei Chen PhD Student
Research Topic: Modelling the circulation for a human heart
Supervisors: Nicholas A Hill, Xiaoyu Luo
Suzanne Doig PhD Student
Research Topic: Modelling host-parasitoid phenological co-evolution.
Supervisor: Christina A Cobbold
Yujue Hao PhD Student
Fluid-structure interactions; eigenvalue problems
Research Topic: Stability of Flows in Collapsible Tubes
Supervisor: Xiaoyu Luo
Beibei Li PhD Student
Research Topic: Aortic Dissection
Member of other research groups: Solid Mechanics
Supervisors: Nicholas A Hill, Steven Roper
Xingshuang Ma PhD Student
Fluid-strucrture interactions; heart valves; biomechanics; immersed boundary methods
Research Topic: Modelling of Mitral Valves
Supervisors: Xiaoyu Luo, Raymond W Ogden
Nan Qi PhD Student
Research Topic: Finite element-immersed boundary method and its application to mitral valves and the heart
Member of other research groups: Solid Mechanics, Fluids
Supervisor: Xiaoyu Luo
Bilal Usmani PhD Student
Research Topic: Modelling the immune system
Supervisors: Martin A Bees, Nicholas A Hill
Lei Wang PhD Student
Research Topic: Modelling aortic dissection using the finite element methods
Member of other research groups: Solid Mechanics
Supervisors: Nicholas A Hill, Xiaoyu Luo, Steven Roper
Dr Simitev and colleagues awarded a Kelvin-Smith Scholarship grant to study and control atrial fibrillation
Thursday 16th February, 2012
Dr Radostin Simitev, Prof Matthew P. Cartmell (Engineering, project lead), Prof Andrew Rankin (Medicine) and Dr Antony Workman (Cardiovascular Institute) have been awarded Kelvin-Smith Scholarship...