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The use of delays in modelling and simulation of biochemical reaction systems and exact model reduction

Presented by: 
André Leier Okinawa Institute of Science and Technology
Date: 
Tuesday 26th April 2016 - 15:00 to 16:00
Venue: 
INI Seminar Room 2
Abstract: 
Delay differential equations have become an integral part of mathematical modelling, in particular when representing biological processes such as population dynamics, epidemiology, or gene regulation and cell signalling. With increased interest in stochastic dynamics, delays have also been introduced into stochastic simulation algorithms.
In my talk I will review such developments over the last ten years, introduce the Delay Chemical Master Equation (DCME), show examples of when the DCME can be solved exactly, and discuss recent developments in the use of delays in model reduction of chemical reaction systems and incorporation of spatial aspects into purely temporal models
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons