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Table 1 Estimated parameter values of the S-system model of the pathway in Figure 2 using log(SSE) < -7 as termination criterion. a Regressor: A: all variables used as regressors and subsequently constrained; B: use of "union" variables as regressors (see Text); C: fully informed selection of regressors (see Text). b time (secs) needed to converge to the solution with log(SSE) < -7. c Convergence results according to AR algorithm: *: convergence to the true solution; **: convergence to different solution; ***: no convergence. d time after running 1,000,000 iterations. See Eq. (12) for optimal parameter values and the Additional file for further comments.

From: Parameter estimation in biochemical systems models with alternating regression

 

Regressora

α i

g i 1

g i 2

g i 3

g i 4

β i

h i 1

h i 2

h i 3

h i 4

log(SSE)

Time(sec)b

Notec

X1

A

12.00

0.00

0.00

-0.80

-0.00

10.00

0.50

-0.00

0.00

0.00

-6.84

0.58

*

 

B

12.03

-0.00

0

-0.80

0

10.04

0.50

0

0.00

0

-7.00

2.39

*

 

C

12.00

0

0

-0.80

0

9.99

0.50

0

0

0

-6.95

0.17

*

X2

A

44.50

-0.00

-0.02

-0.04

0.11

31.48

0.03

0.14

0.05

-0.13

0.51

1071.58d

**

 

B

8.01

0.50

0.00

0

0

3.01

-0.00

0.75

0

0

-7.00

0.97

*

 

C

8.01

0.50

0

0

0

3.01

0

0.75

0

0

-7.00

69.05

*

X3

A

3.00

0.00

0.75

-0.00

-0.00

5.00

-0.00

0.00

0.50

0.20

-9.44

0.03

*

 

B

7.29

0

0.37

-0.00

-0.00

8.76

0

-0.00

0.19

0.04

-4.04

1117.14d

**

 

C

2.98

0

0.75

0

0

5.00

0

0

0.51

0.20

-7.01

0.50

*

X4

A

96.80

0.01

0.01

-0.00

0.00

100.00

-0.00

-0.01

0.00

0.02

-3.83

4.59

***

 

B

98.29

0.06

0

0

0.00

100.00

-0.00

0

0

0.01

-5.85

341.94

***

 

C

2.016

0.50

0

0

0

5.99

0

0

0

0.80

-6.97

84.91

*