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Table 2 Parameters varied for SBS, SBS-DA, TL, TTTL and UBTL for each test system in order from fastest to slowest (left to right in efficiency plots)

From: Efficient simulation of stochastic chemical kinetics with the Stochastic Bulirsch-Stoer extrapolation method

Figure

System

Method

Parameters (r t o l for SBS methods, ε for TL methods)

  

SBS

10−5

5×10−6

10−6

5×10−7

2.5×10−7

10−7

  

SBS-DA

10−5

5×10−6

10−6

5×10−7

10−7

10−8

Figure 2

Chain decay

TL

0.125

0.1

0.075

0.05

0.04

0.03

  

TTTL

0.2

0.15

0.1

0.075

0.05

0.04

  

UBTL

4

2

1

0.8

0.6

0.5

  

SBS

10−2

10−3

10−4

10−5

10−6

10−7

  

SBS-DA

10−3

10−4

10−5

10−6

10−7

10−8

Figure 3

Michaelis-Menten

TL

0.2

0.15

0.1

0.07

0.05

0.04

  

TTTL

0.3

0.25

0.2

0.1

0.075

0.06

  

UBTL

7

5

3

2

1.5

1

  

SBS

10−5

8×10−6

4×10−6

10−6

5×10−7

10−7

  

SBS-DA

2×10−4

1.5×10−4

10−4

9×10−5

8×10−5

6×10−5

Figure 4

Schlögl

TL

0.046

0.044

0.042

0.04

0.0375

0.035

  

TTTL

0.06

0.056

0.052

0.048

0.046

0.044

  

UBTL

0.3

0.28

0.26

0.24

0.22

0.2

  

SBS

10−5

10−6

10−7

10−8

10−9

10−10

  

SBS-DA

10−5

10−6

10−7

10−8

10−9

10−10

Figure 5

Enzymes

TL

0.15

0.1

0.07

0.05

0.03

0.02

  

TTTL

0.3

0.2

0.12

0.08

0.06

0.04

  

UBTL

5

3

1.5

0.8

0.4

0.3