COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Cambridge Analysts' Knowledge Exchange > Propagation front of biological populations with kinetic equations

## Propagation front of biological populations with kinetic equationsAdd to your list(s) Download to your calendar using vCal - Nils Caillerie, University of Lyon 1
- Wednesday 27 April 2016, 16:00-17:00
- MR14, Centre for Mathematical Sciences.
If you have a question about this talk, please contact Josephine Evans. Let us suppose that we are a team of biologists studying a population of bacteria. If we watch the population through a microscope, we will have many information on the dynamics of the population (how they move, how they interact with each other) but if we want to study the front of propagation (how the population invades its environment), it is more cleaver to watch the Petri dish with the naked eye for a long time. From a mathematical point of view, the observations though the microscope are modeled by a kinetic partial differential equation (PDE) with a parameter epsilon (the higher epsilon, the more we zoom in). To recover the naked eye observations on a large time-scale, we pass to the limit as epsilon goes to zero. The resulting equation is a useful tool to study the propagation front of the bacterial population. Doing this, we adopt the so-called geometric optics approach for front propagation. In this presentation, we will show how it works on a very simple example. For this, we will need to make a short introduction to viscosity solutions of Hamilton-Jacobi equation, which are solutions of a PDE in a weak sense This talk is part of the Cambridge Analysts' Knowledge Exchange series. ## This talk is included in these lists:- All CMS events
- CMS Events
- Cambridge Analysts' Knowledge Exchange
- Cambridge Infectious Diseases
- DAMTP info aggregator
- Interested Talks
- MR14, Centre for Mathematical Sciences
- My seminars
- bld31
Note that ex-directory lists are not shown. |
## Other listsChallenging Neoliberalism Institute of Metabolic Science Seminars Wildlife and Environment National Centre for Statistical Ecology (NCSE) Seminars Joint Machine Learning Seminars CAPE-CIKC Advanced Technology Lectures## Other talksVirtual bargaining as a micro-foundation for communication 160 years of occupational structure: Late Imperial China and its regions Annual General Meeting Double talk on Autism genetics A passion for pottery: a photographerâ€™s dream job |