Einladung zum Vortrag im Kolloquium
Transition probabilities for piecewise affine models of genetic networks
Dr. Madalena Chaves
INRIA Sophia Antipolis
Institut National de la Recherche en Informatique et Automatique
Wednesday, 23 June 2010, 9:30 am
IST-Seminarraum 3.243 · Pfaffenwaldring 9 · Campus Stuttgart-Vaihingen
In the piecewise affine framework, trajectories evolve among hyperrectangles in the state space. A qualitative description of the dynamics - useful for models of genetic networks - can be obtained by viewing each hyperrectangle as a node in a discrete system, so that trajectories follow a path in a transition graph. In this paper, a probabilistic interpretation is given for the transition between two nodes A and B, based on the volume of the initial conditions on hyperrectangle A whose trajectories cross to B. In an example consisting of two intertwinned negative loops, this probabilistic interpretation is used to predict the most likely periodic orbit given a set of parameters, or to find parameters such that the system is controlled with a high probability to desired periodic orbit.
M. Chaves has a PhD in Mathematics from Rutgers University (USA). She was a visiting scientist at Sanofi-Aventis (New Jersey, USA) between 2003 and 2005, and held a post-doctoral fellowship at the Institute for Systems Theory and Automatic Control (University of Stuttgart, Germany) in 2005-2006. She is a permanent research scientist at INRIA Sophia Antipolis (Institut National de la Recherche en Informatique et Automatique, France) since February 2007, in the team COMORE - Modelling and Control of Renewable Resources. Her research interests include the analysis of dynamical systems, in particular problems related to stability, robustness and control of nonlinear systems, and applications to the modelling and analysis of biological networks.