DescriptionThis course of 4 lectures will introduce students to the rapidly growing field of mathematical modelling in biology and medicine. We will begin with simple ordinary differential equation models which will allow us to introduce the ideas of equilibria, local and global stability, and non-dimensionalisation. Then we will consider systems of partial differential equations, typically used to model processes in which spatial effects play a vital role. These will be analysed to show that they can give rise to spatial patterns (steady state solutions which are non-constant in space) and travelling waves.;;Applications will then be considered, such as, understanding how embryonic development occurs (for example, how does a leopard get its spots), how does the heart beat, what can we learn about cancer growth and development.v
Philip Maini received his B.A. in mathematics from Balliol College, Oxford, in 1982 and his DPhil in 1985 under the supervision of Prof J.D. Murray, FRS. In 1988 he was appointed Assistant Professor in the Mathematics Department at the University of Utah, Salt Lake City for two years, before returning to Oxford, initially as a University Lecturer and then as Professor and Director of the Centre for Mathematical Biology. He is currently on the editorial boards of a large number of journals, including serving as the editor-in-chief for the Bulletin of Mathematical Biology. 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 (ESMBTB).His research projects include the modelling of avascular and vascular tumours, normal and abnormal wound healing, bacterial chemotaxis, and pattern formation. He has over 300 publications in the field. He was Distinguished Foreign Visiting Fellow, Hokkaido University (2002). He co-authored a Bellman Prize winning paper (1997), was awarded a Royal Society Leverhulme Trust Senior Research Fellowship for 2001-2 and a Royal Society-Wolfson Research Merit Award (2006-11). In 2005 he was elected Honorary Guest Professor, University of Electronic Science Science and Technology of China, Chengdu. In2006 appointed to a 3-year Adjunct Professorship at the School of Mathematical Sciences, Queensland University of Technology, Brisbane, while in 2010 he was appointed to a 3-year Adjunct Professorship at Lincoln University, Christchurch, New Zealand, and also appointed as a Distinguished Research Fellow at the African Institute for Mathematical Sciences (AIMS), South Africa.In 2009 he was awarded the LMS Naylor Prize and Lectureship.
No resources found.
No links found.