April 18, 2016
- Professor Yiannis Kaznessis recently delivered two lectures at the Isaac Newton Institute for Mathematical Sciences at the University of Cambridge, where he is currently a Visiting Scholar. His first lecture, "Closure scheme for chemical master equations - Is the Gibbs entropy maximum for stochastic reaction networks at steady state?", is available online (link below). The research presents a closure scheme that solves chemical master equations of nonlinear reaction networks. The zero-information closure (ZI-closure) scheme is founded on the observation that although higher order probability moments are not numerically negligible, they contain little information to reconstruct the master probability. Higher order moments are then related to lower order ones by maximizing the entropy of the network. Using several examples, we show that moment-closure techniques may afford the quick and accurate calculation of steady-state distributions of arbitrary reaction networks.
Related Link: https://www.newton.ac.uk/seminar/20160408090009451