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Table 2 Estimated probability of the rare event and the sample variance σ2 as well as the CPU TIME (in s) with 107 runs of the wNRMps, the wSSAps and the refined wSSA for the system given in (32): (a) θ = 65 and (b) θ = 68

From: Weighted next reaction method and parameter selection for efficient simulation of rare events in biochemical reaction systems

(a)

σ 2

Time

wNRMps without G3 fine-tuning

1.14 × 10-4

2.77 × 10-7

13381

wSSAps without G3 fine-tuning

1.14 × 10-4

2.74 × 10-7

17484

wNRMps with α = 0.85, β = 0.80

1.14 × 10-4

1.27 × 10-7

13504

wSSAps with α = 0.85, β = 0.80

1.14 × 10-4

1.28 × 10-7

16649

wNRMps with α = 0.80, β = 0.75

1.14 × 10-4

1.29 × 10-7

13540

wSSAps with α = 0.80, β = 0.75

1.14 × 10-4

1.29 × 10-7

17243

Refined wSSA

1.14 × 10-4

1.54 × 10-6

24499

(b)

σ 2

Time

wNRMps without G3 fine-tuning

1.49 × 10-5

1.14 × 10-8

14087

wSSAps without G3 fine-tuning

1.49 × 10-5

1.09 × 10-8

17285

wNRMps with α = 0.85, β = 0.80

1.49 × 10-5

3.28 × 10-9

13920

wSSAps with α = 0.85, β = 0.80

1.49 × 10-5

3.29 × 10-9

17862

wNRMps with α = 0.80, β = 0.75

1.49 × 10-5

3.32 × 10-9

14018

wSSAps with α = 0.80, β = 0.75

1.49 × 10-5

3.30 × 10-9

17858

Refined wSSA

1.49 × 10-5

7.93 × 10-8

24739

  1. The probability of the rare event estimated from 1011 runs of exact SSA method is 1.14 × 10-4 for θ = 65 and 1.49 × 10-5 for θ = 68