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Session Overview |
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S 5 Keynote: Stochastic modelling in life sciences
Session Topics: 5. Stochastic modelling in life sciences
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11:20 am - 12:10 pm
A spatial measure-valued model for chemical reaction networks in heterogeneous systems In this talk, we shall introduce a measure-valued Markov process modelling a finite system of biochemical reactions taking place in a continuous compact space. In its general form, molecules need to be close to each other to react; some reactions or chemical species may be localised in space; some species are abundant (with a number O(N) of molecules) while others may be rare (with O(1) molecules). We shall show that, as we let N tend to infinity, a suitable normalisation of the counting measure describing the state of the system converges to a measure-valued piecewise deterministic Markov process. To illustrate the use of such a framework, we shall briefly discuss work in progress on the modelling of the dynamics of the population of actin polymers in the cellular cortex during cell division. This is joint work with Lea Popovic (Concordia University) and François Robin (Inserm & Sorbonne U.) | ||
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