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The Center for Control, Dynamical Systems, and Computation University of California at Santa Barbara
 

Summary: The Center for Control, Dynamical Systems, and Computation
University of California at Santa Barbara
Winter 2010 Seminar Series
Presents
Estimation and Observation of Stochastic Chemical
Kinetic Systems
David Thorsley
Department of Electrical Engineering
University of Washington
Monday, January 11, 2009, 3:00 4:00pm ESB 2001
Abstract: The state of a stochastic chemical kinetic model is a vector where each element is the
molecular population of one of the species in the biochemical process. Using such models, we can
make predictions regarding the distributions of dynamic behaviors of cellular processes that can be
tested using single-cell experiments. However, it is not experimentally possible to completely observe
the evolution of the state vector as it varies with time. Time-lapse movies collected using single-cell
fluorescence microscopy allows the experimenter to make estimates of the dynamic populations of a
few fluorescent species. Observations of dynamic behavior are not made continuously but instead at
intermittent time points. A well-designed experiment ensures that these limited observations provide
enough useful information to draw conclusions about the behavior of unobservable species. In control
theory, the standard approach to dealing with the problem of estimating a dynamically changing state

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics