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Mathematical Biology

Host-parsitoid coinvasion

Integrodifference models of host-parasitoid interactions give rise to a wide range of travelling wave dynamics.
Mountain pine beetle attack

In collaboration with entomologists we are using mathematical models to give insight into mountain pine beetle adaptation to changing temperatures.
Intrinsic dynamics of a cardiac excitation model

The electrical properties of the cardiac myocytes are described by multi-component reaction-diffusion equations.
Modelling of slug biocontrol

Models of the dynamics of agricultural pests can help optimize their biocontrol.
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.
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.

Staff
Postgraduates
Events

Dr Andrew Baggaley Lecturer

Prehistoric population dynamics

Member of other research groups: Fluids
Postgraduate opportunities: Counterflow turbulence , Two-fluid turbulence at low temperatures

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

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: Weiwei Chen, Muhammad Umar Qureshi, Lei Wang, Reem Almahmud

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
Research students: Weiwei Chen, Yujue Hao, Xingshuang Ma, Nan Qi, Lei Wang, Andrew Allan

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 staff: Luis Silva
Research students: Andrew Allan, Ameneh Asgari Targhi

Andrew Allan PhD Student

Research Topic: Electro-mechanical delay in isolated rabbit hearts
Supervisors: Radostin Simitev, Xiaoyu Luo

Reem Almahmud PhD Student

Research Topic: Wavelet analysis of bioconvection and mixed suspensions
Supervisor: Nicholas A Hill

Ameneh Asgari Targhi PhD Student

Research Topic: Nonlinear dynamics and control of the electrophysiology of atrial fibbrillation
Supervisor: Radostin Simitev

Weiwei Chen PhD Student

Research Topic: Modelling the circulation for a human heart
Supervisors: Nicholas A Hill, Xiaoyu Luo

Yujue Hao PhD Student

Fluid-structure interactions; eigenvalue problems

Research Topic: Stability of Flows in Collapsible Tubes
Supervisor: Xiaoyu Luo

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

Benn Macdonald PhD Student

Research Topic: Parameter inference in mechanistic models of biological pathways with applications in biomedicine
Member of other research groups: Statistical Methodology
Supervisor: Dirk Husmeier

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

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