HAYTOUMI, M. Adam (2019) Stochastic chemical reaction networks in the multiscaling context PRE - Research Project, ENSTA.



The inspiration behind the topic lies in an article by Togashi and Kaneko which describes the following chemical system with species A1; A2; A3; A4 and the following possible reactions Xi + Xi+1 = 2Xi+1 (modulo 4). While the classical scaling yields an easy (constant) solution for the number of molecules of each species as the initial number of molecules N tends to infinity, we get a more interesting behaviour with a certain choice of kinetics for these reactions. Due to the discreteness, even for a relatively large N, two couples of two species quickly settle to a state where they have alternatively zero and large concentrations for the same time (1 and 3, 2 and 4)

Item Type:Thesis (PRE - Research Project)
Subjects:Mathematics and Applications
ID Code:7512
Deposited By:Adam Haytoumi
Deposited On:28 mars 2022 14:00
Dernière modification:28 mars 2022 14:00

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