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Stochastic bimodalities in deterministically monostable reversible chemical networks due to network topology reduction
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10.1063/1.3264948
/content/aip/journal/jcp/131/19/10.1063/1.3264948
http://aip.metastore.ingenta.com/content/aip/journal/jcp/131/19/10.1063/1.3264948
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Stochastic simulations for networks (1) and (2) with parameters , , , and . Steady-state distribution of molecules Y is shown.

Image of FIG. 2.
FIG. 2.

Stochastic Simulations of the networks (3) and (4) with parameters ; ; ; ; ; ; and . Steady-state distribution of molecules is shown. Peak at corresponds to steady-state of reduced network, while peak at corresponds to steady state of the complete network. Inset: time course of simulations shown for (red) and (black) species.

Image of FIG. 3.
FIG. 3.

Steady-state probability distribution, for the reaction networks (7)–(9) with parameters ; ; ; ; ; ; ; ; ; ; ; and (same as Ref. 12) and (red), (black), and (blue).

Image of FIG. 4.
FIG. 4.

Numerical solution of the Fokker–Planck Eq. (10) at infinite time, coinciding with results of stochastic simulations for networks (11) and (12) with the same parameters as Fig. 3 and . Numerical solution was discretized as explained in the text in order to compare it with results of stochastic simulations.

Image of FIG. 5.
FIG. 5.

Stochastic Simulations of the networks (13) and (14) with parameters ; ; ; ; ; ; ; ; and . Steady-state distribution of molecules is shown. Inset: time course of simulations shown for (red) and (black) species.

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/content/aip/journal/jcp/131/19/10.1063/1.3264948
2009-11-19
2014-04-23
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Stochastic bimodalities in deterministically monostable reversible chemical networks due to network topology reduction
http://aip.metastore.ingenta.com/content/aip/journal/jcp/131/19/10.1063/1.3264948
10.1063/1.3264948
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