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Table 1 Stability regions for methods with bounded relative variance and optimal stability

From: Simulation methods with extended stability for stiff biochemical Kinetics

Bound (ϵ)

Stages (s)

Stability (ls, ϵ)

Factor vs. τ-leap

Norm. factor τ-leap

0.10

3

3.94566

19.73

6.58

 

5

10.1813

50.9

10.18

0.25

3

5.89563

14.74

4.91

 

5

11.0001

27.5

5.5

0.50

3

8.12004

12.18

4.06

 

5

15.5997

23.4

4.68

  1. Factor vs. τ-leap corresponds to the relative increase in the step size with respect to the Poisson τ-leap with the same bound in the variance (ls, ϵ/lτ-leap). Normalised factor vs. τ-leap takes into account the multiple stages of the method (ls, ϵ/(s·lτ-leap)).
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BMC Systems Biology

ISSN: 1752-0509

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