Mathematical Biology

Mathematical Biology

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

Dr Christina A Cobbold  Reader

Population dynamics of ecological systems; spatial ecology; evolutionary ecology in changing environments

Member of other research groups: Biostatistics and Statistical Genetics
Research students: David Ewing, Cameline Orlendo

  • Personal Website
  • Publications
  • Dr Hao Gao  Postdoctoral Research Fellow

    Heart Modelling; biomechancis; MRI; fluid-structure interactions

    Supervisor: Xiaoyu Luo

  • Publications
  • Prof Nicholas A Hill  Simson Chair

    Random walk models for movement of micro-organisms and animals; spatial point processes in plant ecology

    Member of other research groups: Continuum Mechanics - Modelling and Analysis of Material Systems, Continuum Mechanics - Fluid Dynamics and Magnetohydrodynamics
    Research students: Waqar Abassi, Julia McKenzie, Roxanna Barry, Scott Richardson

  • Personal Website
  • Publications
  • Prof Xiaoyu Luo  Professor of Applied Mathematics

    Biomechanics; fluid-structure interactions; mathematical biology ; solid mechanics

    Member of other research groups: Continuum Mechanics - Modelling and Analysis of Material Systems, Continuum Mechanics - Fluid Dynamics and Magnetohydrodynamics
    Research staff: Hao Gao, Nan Qi
    Research students: Liuyang Feng, Danyang Wang, Xin Zhuan, Ahmed Mostafa Abdelhady Ismaeel, Julia McKenzie

  • Personal Website
  • Publications
  • Dr Benn Macdonald  Research Assistant

    Member of other research groups: Statistical Methodology
    Supervisor: Dirk Husmeier

  • Dr Nan Qi  Research Associate

    Member of other research groups: Continuum Mechanics - Modelling and Analysis of Material Systems, Continuum Mechanics - Fluid Dynamics and Magnetohydrodynamics
    Supervisor: Xiaoyu Luo

  • Dr Radostin Simitev  Reader

    Reaction-diffusion equations; Excitable systems; Mathematical models of cardiac electrical excitation

    Member of other research groups: Continuum Mechanics - Fluid Dynamics and Magnetohydrodynamics
    Research students: Muhamad Bin Noor Aziz, Pete Mortensen
    Postgraduate opportunities: Numerical models of planetary dynamos and of the Geodynamo, Efficient asymptotic-numerical methods for cardiac electrophysiology

  • Personal Website
  • Publications
  • Dr Peter Stewart  Senior lecturer

    Member of other research groups: Continuum Mechanics - Modelling and Analysis of Material Systems, Continuum Mechanics - Fluid Dynamics and Magnetohydrodynamics
    Research staff: Tamsin Spelman
    Research students: Roxanna Barry, Ahmed Mostafa Abdelhady Ismaeel, Danyang Wang

  • Personal Website
  • Publications

  • Postgraduates

    Waqar Abassi  MSc Student

    Supervisor: Nicholas A Hill

  • Roxanna Barry  PhD Student

    Supervisors: Peter Stewart, Nicholas A Hill

  • Muhamad Bin Noor Aziz  PhD Student

    Research Topic: Efficient asymptotic-numerical methods for cardiac electrophysiology
    Supervisor: Radostin Simitev

  • David Ewing  PhD Student

    Research Topic: Modelling the phenological effects of multiple environmental drivers on mosquito populations. What is needed for the mosquito perfect storm?
    Supervisors: Christina A Cobbold, Steven White

  • Liuyang Feng  PhD Student

    Supervisor: Xiaoyu Luo

  • Ahmed Mostafa Abdelhady Ismaeel  PhD Student

    Supervisors: Peter Stewart, Xiaoyu Luo

  • Julia McKenzie  PhD Student

    Supervisors: Nicholas A Hill, Xiaoyu Luo

  • Pete Mortensen  PhD Student

    Supervisor: Radostin Simitev

    Cameline Orlendo  PhD Student

    Research Topic: Mathematical modelling of species range expansion with climate- driven range shifts
    Supervisor: Christina A Cobbold

  • Scott Richardson  PhD Student

    Research Topic: 'Bioconvection and swimming micro-organisms'
    Member of other research groups: Continuum Mechanics - Fluid Dynamics and Magnetohydrodynamics
    Supervisors: Andrew Baggaley, Nicholas A Hill

  • Danyang Wang  PhD Student

    Research Topic: Flows in flexible vessels
    Supervisors: Xiaoyu Luo, Peter Stewart

  • Xin Zhuan  PhD Student

    Research Topic: Heart tissue remodelling under stress
    Member of other research groups: Continuum Mechanics - Modelling and Analysis of Material Systems
    Supervisor: Xiaoyu Luo


  • Postgraduate opportunities

    Efficient asymptotic-numerical methods for cardiac electrophysiology (PhD)

    Supervisors: Radostin Simitev
    Relevant research groups: Mathematical Biology

    The mechanical activity of the heart is controlled by electrical impulses propagating regularly within the cardiac tissue during one's entire lifespan. A large number of very detailed ionic current models of cardiac electrical excitability are available.These realistic models are rather difficult for numerical simulations. This is due not only to their functional complexity but primarily to the significant stiffness of the equations.The goal of the proposed project is to develop fast and efficient numerical methods for solution of the equations of cardiac electrical excitation with the help and in the light of newly-developed methods for asymptotic analysis of the structure of cardiac equations (Simitev & Biktashev (2006) Biophys J; Biktashev et al. (2008), Bull Math Biol; Simitev & Biktashev (2011) Bull Math Biol)

    The student will gain considerable experience with the theory of ordinary and partial differential equations, dynamical systems and bifurcation theory, asymptotic and perturbation methods,numerical methods. The applicant will also gain experience in computerprogramming, scientific computing and some statistical methods for comparison with experimental data.