Wed, September 26, 2018
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4:00pm [4:00pm] Mathematics Colloquium
Description:
Mathematics Colloquium Date & Time: 26th September 2018, 4-5pm Venue: Ramanujan Hall Speaker: Prof.Carlos Conca, University of Chile, Santiago. Title: Modeling our sense of smell Abstract In this lecture, we are interested in the study of an inverse problem for an integral equation arising from the biology of the human olfaction system. The transduction of an odour into an electrical signal is accomplished by a depolarising influx of ions through cyclic-nucleotide-gated (CNG for short) channels on the cilium membrane. The inverse problem studied is to determine the spatial distribution of these ion channels from measurements of the electrical current at the ends of the cilium. The Mellin transform will allow us to write an explicit formula for its solution, so obtaining observability or continuity results will then amounts to punctual estimates of the kernel of this integral equation on vertical lines of the complex plane. These will be accomplished using arguments in the spirit of the stationary phase method.

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