# Diffusion on an expanding interval

#### Diffusion on an expanding interval

- Event time: 11:30am
- Event date: 2nd December 2015
- Speaker: Dr Bartlomiej Waclaw (School of Physics & Astronomy, University of Edinburgh)
- Location: Room 2511, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB

### Event details

The diffusion equation is used to model transport of particles, heat etc. and is usually solved in some fixed geometry e.g. on an interval in 1d, or inside a sphere in 3d. What happens if the domain is not static but changes over time? In this talk I will discuss an example (genetic diversity in a microbial colony) which leads to a particular diffusion equation on an expanding domain with absorbing boundaries, and calculate the probability distribution conditioned on the particle not being absorbed.

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