Events

Modelling Collective Cell Migration in Development and Disease

Philip Maini

Director, Wolfson Centre for Mathematical Biology; University of Oxford, England
Colloquia

When

Date: Wednesday, November 30, 2022
Time: 4:00 pm - 5:00 pm
Location: Zoom
Professor Philip K. Maini received his B.A. in mathematics from Balliol College, Oxford, in 1982 and his DPhil in 1985. He is currently the director of the Wolfson Centre for Mathematical Biology, Mathematical Institute and Statutory Professor of Mathematical Biology at Oxford University. He is on the editorial boards of a large number of journals, including serving as the Editor-in-Chief of the Bulletin of Mathematical Biology [2002-15]. He has also been an elected member of the Boards of the Society for Mathematical Biology (SMB) and European Society for Mathematical and Theoretical Biology (ESMTB). He is a Fellow of the IMA (FIMA), a SIAM Fellow, an Inaugural SMB Fellow, a Fellow of the Royal Society of Biology (FRSB), Miembro Correspondiente (Foreign Fellow), La Academia Mexicana de Ciencias (AMC), Fellow of the Royal Society (FRS), Fellow of the Academy of Medical Sciences (FMedSci), Foreign Fellow of the Indian National Science Academy (FNA), Fellow of the European Academy of Sciences (FEurASc) and Fellow of the American Association for the Advancement of Science (FAAAS). His present research projects include the modelling of avascular and vascular tumours, normal and abnormal wound healing, and a number of applications of mathematical modelling in pattern formation in early development, as well as the theoretical analysis of the mathematical models that arise in all these applications.

Collective cell migration is a very common phenomenon, occurring in early development, repair and disease. Here, I will present work on two examples: (i) we use the process of angiogenesis (the formation of new blood vessels, which occurs in wound healing and solid cancers) as an inspiration to carry out an exercise in deriving a model at the macroscale that incorporates the rules of the classical snail-trail microscale model. We find that the resultant partial differential equation (PDE) model is quite different to the classical snail-trail PDE model and we compare both; (ii) we develop a multiscale agent-based model to study the phenomenon of neural crest cell migration, a key developmental process. We show how our model, combined with experiments, has led to new biological insights.

*contact mathstats@uncg.edu for a link to the talk*