BEGIN:VCALENDAR VERSION:2.0 PRODID:-//Talks.cam//talks.cam.ac.uk// X-WR-CALNAME:Talks.cam BEGIN:VEVENT SUMMARY:Stability properties of stochastic biomolecular reaction networks: Analysis and Applications - Ankit Gupta (ETH Zürich) DTSTART:20160407T134500Z DTEND:20160407T143000Z UID:TALK65372@talks.cam.ac.uk CONTACT:INI IT DESCRIPTION:Co-author: Mustafa Khammash (ETH Zurich)

Th e internal dynamics of a living cell is generally very noisy. An important source of this noise is the intermittency of reactions among various mol ecular species in the cell. The role of this noise is commonly studied us ing stochastic models for reaction networks\, where the dynamics is descr ibed by a continuous-time Markov chain whose states represent the molecul ar counts of various species. In this talk we will discuss how the long-t erm behavior of such Markov chains can be assessed using a blend of ideas from probability theory\, linear algebra and \;optimisation \;th eory. In particular we will describe how many biomolecular networks can b e viewed as generalised birth-death networks\, which leads to a simple co mputational framework for determining their stability properties such as ergodicity and convergence of moments. We demonstrate the wide-applicabil ity of our framework using many examples from Systems and Synthetic Biolo gy. We also discuss how our results can hel p in analysing regulatory cir cuits within cells and in understanding the entrainment properties of noi sy biomolecular oscillators. LOCATION:Seminar Room 1\, Newton Institute END:VEVENT END:VCALENDAR