University of Birmingham > Talks@bham > Analysis seminar > Estimations of functions in two biological models

Estimations of functions in two biological models

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  • UserThibault Bourgeron (Université Pierre et Marie Curie)
  • ClockMonday 17 November 2014, 16:00-17:00
  • HousePhysics West 106 (SR2).

If you have a question about this talk, please contact José Cañizo.

We will present models for two, very different, biological experiments. The first experiment is a growth and fission experiment on a yeast. All the parameters of the model can be guessed at from biological considerations, except one, the division rate. We address the problem of finding the division rate from the measurement of the steady state profile. The second experiment deals with the transduction of an odor into an electrical signal. This is accomplished by a depolarizing influx of ions through CNG channels, which form the lateral surface of the cilium. The distribution of these channels should be crucial in determining the kinetics of the neuronal response. The problem is to determine the CNG channels distribution from the experimental current data and known properties of the cilia.

Surprisingly both these inverse problems can be reduced (in different ways) to invert integral operators which share a common property. In the case of the division of cells this property is simply that the operator only depends on the ratio of the size of the mother to the size of the daughter. The Mellin transform allows us to invert these operators and to obtain reconstruction results, or negative results.

This talk is part of the Analysis seminar series.

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