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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Biomathematics Seminar: Theory of active matter applied to cell motility

Presented by Rhoda Hawkins, University of Sheffield

4 February 2014 14:00 in CM105

The cell cytoskeleton consists of filaments and molecular motors (such as
actomyosin) fuelled by biochemical energy. This can be modelled as a
polar or nematic active material, i.e. one that is out of equilibrium. I
will consider the case of a finite drop of active matter as a model for
a cell embedded in a surrounding medium. Motility of the model cell
depends on flows of the contractile active gel. I will present
analytical calculations of velocity fields for different polarisation
fields and boundary conditions in two and three dimensions. These
solutions will be compared to numerical simulations in which the
approximations required for analytical tractability are lifted and
steady state polarisations and velocities can be found. Generic features
of persistent motion will be discussed and comparisons to available
experimental data made.

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