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Table 1 Copy number and association rate for subsystems when we use the DNA size ratio method

From: System size reduction in stochastic simulations of the facilitated diffusion mechanism

DNA size

 

lacI

  

k λ assoc s − 1

 

4.6 Mbp

1000

100

10

 

2400

 

2 . 3 Mbp

496

50

5

172.28

169.09

168.75

1.0 Mbp

216

22

2

50.78

49.79

49.68

460 Kbp

99

10

1

20.60

20.19

20.15

230 Kbp

50

5

-

9.81

9.61

9.59

100 Kbp

22

2

-

4.15

4.07

4.06

46 Kbp

10

1

-

1.89

1.85

1.85

  1. The full system consists of (i) 1000, (ii) 100 and (iii) 10 lacI molecules. When computing k λ assoc , we assumed that, for the full system, the time spent on the DNA is: i) 〈f10〉≈0.923, (ii) 〈f100〉≈0.922 and (iii) 〈f1000〉≈0.921.