[Statlist] Séminaire Institut de Neuchâtel, le 14/10/2008

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Séminaire de Statistique
Institut de Statistique, Université de Neuchâtel
Salle B29, Bâtiment principal de l'Université, Neuchâtel,
http://www2.unine.ch/statistics
Mardi 14 octobre 2008, 11h00
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Prof. Victor Panaretos, Institut de Mathématiques, Ecole Polytechnique Fédérale de Lausanne



Title: On Random Tomography in Structural Biology

Abstract: What can be said about an unknown density function on $\mathbb{R}^n$ given a finite collection of (n-1)-dimensional marginals at random and unknown orientations? This question arises in single particle electron microscopy, a powerful method that biophysicists employ to learn about the structure of biological macromolecules. The method images unconstrained particles, as opposed to particles fixed on a lattice (crystallography) and poses a variety of statistical problems. We formulate and study statistically the one such problem, namely the estimation of a structural model for a biological particle given random projections of its Coulomb potential density, observed through the electron microscope. Although unidentifiable (ill-posed), this problem can be seen to be amenable to a statistical solution, once parametric assumptions are imposed. It can also be seen to present challenges both from a data analysis point of view (e.g. uncertainty estimation and presentation) as well as computationally.

Vous pouvez consulter le programme des séminaires de l'Institut de statistique sur la page http://www2.unine.ch/statistics/page9123.html



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