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Table 3 Covariance matrix C for the Michaelis-Menten reaction system.

From: Biochemical fluctuations, optimisation and the linear noise approximation

 

S

SE

P

E

S

1455.82 (1455.57)

61.35 (61.23)

33.46 (32.80)

-61.35 (-61.23)

SE

61.35 (61.23)

59.09 (59.07)

-4.36 (-4.43)

-59.09 (-59.07)

P

33.46 (32.80)

-4.36 (-4.43)

773.86 (773.41)

4.36 (4.43)

E

-61.35 (-61.23)

-59.09 (-59.07)

4.36 (4.43)

59.09 (59.07)

  1. The convariance matrix C for the Michaelis-Menten reaction system. Reaction parameters were chosen to be k1 = 0.2 nMs-1, k2 = 4 nM-1s-1, k3 = 3 s-1, k4 = 1 s-1, k5 = 0.15 s-1. The system volume was 10-12 l. The covariances calculated using the LNA was compared with those obtained from simulation (values in brackets) using 104 time series generated using the Gillespie algorithm (Direct Method) in COPASI