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Table 1 Inference results for (A) the simple model and (B) autoregulatory model of single gene expression

From: Bayesian inference of biochemical kinetic parameters using the linear noise approximation

(A)

Param.

Prior

Value

Estimate 1

Estimate 2

γ R

Γ (0.44,10-2)

0.44

0.43 (0.27-0.60)

0.49 (0.38-0.61)

γ P

Γ (0.52,10-2)

0.52

0.51 (0.35-0.67)

0.49 (0.38-0.61)

k P

Exp(100)

10.00

21.09 (3.91-67.17)

11.41 (7.64-16.00)

λ

Exp(100)

1.00

1.42 (0.60-2.57)

1.08 (0.76-1.36)

b 0

Exp(100)

15.00

6.80 (0.97-18.43)

12.78 (9.80-15.33)

b 1

Exp(1)

0.40

0.79 (0.05-3.02)

0.29 (0.18-0.43)

b 2

Exp(1)

0.40

0.77 (0.08-2.79)

0.77 (0.32-1.59)

b 3

Exp(10)

7.00

6.13 (4.41-7.85)

7.25 (6.79-7.55)

b 4

Exp(100)

3.00

0.94 (0.11-2.88)

2.87 (2.11-3.52)

(B)

Param.

Prior

Value

Estimate 1

Estimate 2

γ R

Γ (0.44,10-2)

0.44

0.44 (0.27-0.60)

0.42 (0.32-0.54)

γ P

Γ (0.52,10-2)

0.52

0.49 (0.33-0.65)

0.49 (0.36-0.61)

k P

Exp(100)

10.00

14.86 (3.18-47.97)

9.35 (5.87-13.15)

λ

Exp(100)

1.00

1.26 (0.48-2.30)

1.15 (0.81-1.50)

b 0

Exp(100)

15.00

5.99 (0.20-23.06)

13.47 (9.24-17.13)

b 1

Exp(1)

0.40

0.59 (0.01-2.75)

0.27 (0.14-0.53)

b 2

Exp(1)

0.40

0.92 (0.05-2.92)

0.83 (0.21-3.52)

b 3

Exp(10)

7.00

6.53(0.74-14.69)

7.27 (6.44-7.79)

b 4

Exp(100)

3.00

2.85 (0.35-7.19)

2.64 (1.82-3.32)

  1. Parameter values used in simulation, prior distribution, posterior medians and 95% credibility intervals. Estimate 1 corresponds to inference from single time series, Estimate 2 relates to estimates obtained from 20 independent time series. Data used for inference are plotted in Figure A for case A and Figure B for case B. Variance of the measurement error was assumed to be known σϵ = 9. Rates are per hour. Parameters are n H = 1, H = 61.98 in case B.