Research within the mathematics applied to biology group focuses on two broad research areas. The first area of interest is population modelling with a focus on mathematical epidemiology, evolutionary game theory and population genetics (Istvan Kiss). The second area focuses on reaction diffusion equations and dynamical systems with applications in developmental biology and bio-medicine ranging from pattern formation, tumor growth and angiogenesis to biomechanics of the muscle-skeletal system (Anotida Madzvamuse and Peter Giesl).
Current members
- Faculty: Konstantin Blyuss, Istvan Kiss, Yuliya Kyrychko, Anotida Madzvamuse.
- Postgraduate Students: Konstantinos Blazakis, Andy Chung, Laurie Crossley, Hussaini Ndakwo, Giannis Neofytou, Bootan Rahman, Prapanporn Rattana, Martin Ritchie.
Examples of current research projects
Biomechanics in tumour growth and angiogenesis
Mathematical modelling of bio-mechanical aspects in tumour growth and angiogenesis, cell deformation and movement.
- Cell deformation and movement
- Bio-mechanical aspects in tumour growth and angiogenesis
For further details on faculty members and available research projects please contact Dr Anotida Madzvamuse.
Mathematical epidemiology
Mathematical modelling of infectious disease transmission using differential equations, pairwise approximations and individual-based stochastic network simulations.
- Implications of population contact network properties for disease invasion, spread, persistence and control
- Disease control, optimal resource allocation and cost of control
- Dynamic and adaptive networks, and information spread
- Host and pathogen interactions
For further details on faculty members and available research projects please contact Dr Istvan Kiss.
Pattern formation, reaction diffusion systems (RDES)
Novel applications of RDES in biological systems through numerical simulations on geometrically accurate fixed and growing domains.
- RDES on fixed and growing/continously deforming domains
- Moving grid finite elements for RDES
- Adaptive moving grid finite elements for RDES
- ALE formulations and finite differences for RDES
- Bifurcation theory for RDES on continuously deforming domains
For further details on faculty members and available research projects please contact Dr Anotida Madzvamuse.