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  1. Mathematics, Computer Science and Engineering
  2. Mathematics
  3. Mathematical Biology
    1. FourC Modelling Project
About City

Mathematical Biology

The Mathematical Biology group applies mathematical methods to increase our understanding of the biological world, and the central focus is on the mathematical modelling of evolution.

Group members

Former members:

  • Laura Alessandretti (PhD student, 2015-2018)
  • Christoforos Hadjichrysanthou (PhD student, 2010-2012)
  • Anne Kandler (Lecturer in Mathematics, 2012-2016)
  • Klodeta Kura (PhD student, 2012-2016)
  • Karan Pattni (PhD student, 2013-2017)
  • Mahdi Raza (PhD student, 2013-2016)
  • Fabiano Ribeiro (Visiting Researcher 2017-18)
  • Jan Teichmann (PhD student, 2011-2015)

The group also hosts regular short term research visitors.

There are two main areas of research: evolutionary game theory and network science.

Evolutionary game theory

Since its inception in the 1960s, evolutionary game theory has become increasingly influential in the modelling of biology. Important biological phenomena, such as the fact that the sex ratio of so many species is close to one half, the evolution of cooperative behaviour and the existence of costly ornaments like the peacock's tail, have been explained with ideas underpinned by game theoretical modelling.

Our work involves the development of the general mathematical theory of evolution, including an extension of the standard two player models to the multiplayer case, the integration of evolutionary games and life history theory, as well as the consideration of evolutionary games on networks and involving structured populations more generally.

We also model specific biological behaviour. In particular we consider parasitic behaviour such as food stealing (kleptoparasitism) and brood parasitism, where birds lay eggs in the nests of others. We also investigate biological signalling, where animals signal invisible properties in order to attract mates or ward off predators.

Human behaviour, collective dynamics and network science

Human cognition is the product of the interaction of tens of billions of neurons, societies are constituted by millions of individuals, and ecosystems consist of many interacting species. However, understanding the system-scale emerging properties of such complex systems starting from the knowledge of their constituents is unfeasible. A powerful framework to overcome this problem is provided by network science. Thanks to the network approach, where the units of the system are described as nodes and their interaction patterns as links, network science has provided in the last 15 years a unifying framework to study different systems under the same conceptual lens, with important practical consequences.

Research in the Mathematical Biology group includes fundamental investigations on the behaviour of dynamical processes on complex networks (e.g., random walks, reaction-diffusion processes, etc.), and more interdisciplinary research efforts. Among the latter, issues in language dynamics (consensus problems, emergence of conventions, etc.), evolution (biological conditions for language diversity, evolution in a changing environment, etc.), social sciences (the study of information and opinion spreading in online and offline social networks), and cognitive science (emergence of shared categorisation systems).

If you are interested in finding out more about research in Mathematical Biology at City, University of London, please contact Professor Mark Broom.

Publications

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