**UBC Mathematics Department**

*http://www.math.ubc.ca*

## Colloquium Abstract: Dr. Robert Dillon,
Department of Mathematics, Tulane University

*Mathematical and computational modeling of moving boundaries
and fluid dynamics in biological systems
*

A common feature of many biological systems is the interaction of
elastic structures with a viscous incompressible fluid. In this talk,
I will describe recent developments in modeling vertebrate limb
outgrowth and development, bacterial motility and aggregation, and the
movement of eucaryotic cilia and flagella. Although these biological
systems come from diverse areas of biology, each can be formulated as
a moving free-boundary boundary problem within a fluid-elastic medium.
I will describe the numerical solution of these models based on the
immersed boundary method and show the results of several computer
simulations.

*Coffee, tea and cookies will be served in Math Lounge (Annex) Room 1115.

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