Speaker: Professor Thomas Hillen
Affiliation: University of Alberta
Abstract
Cellular adhesion is one of the most important interaction forces between cells and other tissue components. In 2006, Armstrong, Painter and Sherratt introduced a non-local PDE model for cellular adhesion, which was able to describe known experimental results on cell sorting and cancer growth. Since then, this model has been the focus of applications and analysis. The analysis becomes challenging through non-local cell-cell interaction and interactions with boundaries. In this talk I will present theoretical results of the adhesion model, such as a random walk derivation, biologically realistic boundary conditions, pattern formation and results on local and global existence of solutions.
(joint work with A. Buttenschoen, K. Painter, A. Gerisch, M. Winkler).
About Mathematical biology seminars
We present regular seminars on diverse topics in mathematical biology. The seminars often show how dynamical systems, probability, or other mathematical techniques help us understand and manage biological systems, from microscopic cells to the world's largest ecosystems.
All are welcome, and past audiences have been diverse. The majority of the audience is made up of applied mathematicians, but pure mathematicians, biologists, and other scientists often attend as well.
Talks should be pitched at a level such that HDR students in mathematics and quantitative biology are able to understand the content.
These seminars are held at various times throughout the year.
Venue
Room: 212