Table 3.

Parameter estimations of the branched pathway model using noise-free data with X₃ missing

	Simultaneous method		Incremental method
	$\text{min}{\mathbf{\Phi }}_{\mathbf{C}}^{\mathbf{a}}$	min ΦS	min ΦC	min ΦS
CPU time (sec)	85.03 h	4002.01 ± 696.11	1404.22 ± 120.71	445.47 ± 35.94
eSSM GO iterations	308	365 ± 91	67 ± 10	48 ± 10
Parameter error (%)	71.90	43.50 ± 2.34	68.85 ± 4.57	40.47 ± 0.59
ΦC	4.54 × 10-3	6.46 × 10-3 ± 4.08 × 10-4	3.38 × 10-3 ± 1.14 × 10-4	5.94 × 10-3 ± 3.23 × 10-5
ΦS	1.03	2.99 × 10-2 ± 3.82 × 10-4	8.32 × 10-2 ± 4.04 × 10-3	2.94 × 10-2 ± 2.77 × 10-6

a. Only one out of five runs completed with a relative improvement of the objective function below 1% between iterations. The rest did not converge within the 5-day time limit after iterating for 471, 435, 863 and 786 times. The corresponding Φ_C at termination were 4.99× 10^-2, 4.92 × 10^-2, 1.17 × 10^-2 and 1.57 × 10^-2, respectively.