Philip Maini, Professor of Oxford University, will visit RUDN University with a series of lectures on partial differential equations and applications to medicine
Professor Philip Maini will visit the RUDN University September, 29-October, 10, 2019. He is a leading world expert in mathematical biology and the head of the Centre for Mathematical Biology (Oxford University, QS-5).
Prof. Maini was an elected member of the boards of the Society for Mathematical Biology and the European Society for Mathematical and Theoretical Biology. He is a Fellow of the Institute of Mathematics and its Applications (IMA), the Society for Industrial and Applied Mathematics (SIAM), and the Society of Biology, and is a corresponding member of the Mexican Academy of Sciences.
Prof. Maini gave an invited talk at the International Congress of Mathematicians 2010 in Hyderabad, speaking on “Modelling Aspects of Tumour Technology”. He co-authored with Jonathan Sherratt and Paul Dale 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 2009 he was awarded the LMS Naylor Prize and Lectureship and in 2014 he was listed in "The World's Most Influential Scientific Minds 2014" (Thomson Reuters). In 2017 he was awarded the Arthur T. Winfree Prize from the Society of Mathematical Biology (SMB).
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.
In RUDN University Prof. Maini will give an invited talk “Modelling collective cell migration in biology and medicine” at the international conference “Mathematical modelling in biomedicine”. The conference will take place in our university 30.09-4.10. Later the S.M. Nikol’skii Mathematical Institute will organize a series of lectures by Ph. Maini.
Professors and students of the Mathematical Institute will have the opportunity to listen to a series of lectures on the following topics: “Diffusion-driven instability “, “Travelling waves”, “Nerve Impulses”.
The schedule is following:
Lecture 1. “Diffusion-driven instability”, Monday, October, 7, 15:00-16:30, room 350
- What is pattern formation?
- Turing's model and linear stability analysis
- Developmental constraints
- Chemotaxis model (Keller-Segel)
- Effects of growing domains
Lecture 2. “Travelling waves”, Tuesday, October, 8, 12:00-13:20, room 458
- Analysis of Fisher's equation -- linear stability
- Analysis of Chemotaxis models for travelling waves
- Gatenby-Gawlinski model for acid-mediated cancer invasion
Lecture 3. “Nerve Impulses”, Tuesday, October, 8, 13:30, room 558
- Hodgkin-Huxley Model
- Reduction to Fitzhugh-Nagumo Model
- Analysis of FN model (excitability)