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Efficient computation of transient solutions of the chemical master equation based on uniformization and quasi-Monte Carlo
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10.1063/1.2897976
/content/aip/journal/jcp/128/15/10.1063/1.2897976
http://aip.metastore.ingenta.com/content/aip/journal/jcp/128/15/10.1063/1.2897976

Figures

Image of FIG. 1.
FIG. 1.

The convergence rates of SSA, uniformized SSA (UNIFZ), and the QMC method (QMC) as a function of the number of trajectories (left), and the norm of the pooled variance as a function of execution time for the methods (right).

Image of FIG. 2.
FIG. 2.

The marginal densities of and computed with trajectories by SSA (left) and QMC SSA (right).

Image of FIG. 3.
FIG. 3.

The convergence rates of SSA, uniformized SSA (UNIFZ) and the QMC method (QMC) (left) and the norm of the pooled variance as a function of execution time for the methods(right).

Image of FIG. 4.
FIG. 4.

The marginal densities of MAPK and MAPKPP computed with trajectories by SSA (left) and QMC SSA (right).

Tables

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Table I.

The parameters for the metabolite-enzyme model.

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Table II.

Variance reduction factors and . The effect of QMC is clearly seen for the higher number of trajectories.

Generic image for table
Table III.

Variance reduction factors and .

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/content/aip/journal/jcp/128/15/10.1063/1.2897976
2008-04-17
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Efficient computation of transient solutions of the chemical master equation based on uniformization and quasi-Monte Carlo
http://aip.metastore.ingenta.com/content/aip/journal/jcp/128/15/10.1063/1.2897976
10.1063/1.2897976
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