Identification of parameter correlations for parameter estimation in dynamic biological models

Li, Pu; Vu, Quoc Dong

doi:10.1186/1752-0509-7-91

BMC Systems Biology

Table 1 Fitted parameter values based on different data sets

From: Identification of parameter correlations for parameter estimation in dynamic biological models

No.	P^*	P⁽¹⁾	P^(1)+(2)	P^(1)+(2)+(3)	P^(1)+…+(4)	P^(1)+…+(5)	P^(1)+…+(5) (w)
1(G₁)	1.0	1.06763	1.07763	1.60486	1.73180	1.00000	0.97145
2(G₁)	1.0	1.40146	0.91495	0.82116	0.75989	0.99998	1.05917
3(G₁)	2.0	1.47116	1.16323	2.39189	2.00001	2.00006	1.86755
4(G₁)	1.0	1.55173	1.01042	2.30123	3.19504	1.00000	0.98664
5(G₁)	2.0	1.40069	1.24912	0.32136	0.25317	2.00000	2.01339
6	1.0	1.00000	1.00002	1.00000	1.00000	1.00000	0.98154
7(G₂)	1.0	1.00927	1.02815	1.00000	1.00000	1.00000	0.99124
8(G₂)	1.0	1.32173	0.95504	1.00000	1.00000	1.00000	0.99919
9(G₂)	2.0	1.34185	1.18286	2.00000	2.00000	2.00000	1.93527
10(G₂)	1.0	1.00477	1.01393	1.00000	1.00000	1.00000	0.98693
11	2.0	1.99973	2.00007	2.00000	2.00000	2.00000	2.03582
12	1.0	0.99944	1.00019	1.00000	1.00000	1.00000	1.00435
13(G₃)	1.0	1.00572	1.05126	1.00001	1.00001	1.00001	1.03448
14(G₃)	1.0	1.39147	0.90768	1.00000	1.00000	1.00000	0.99558
15(G₃)	2.0	1.45117	1.00760	2.00003	2.00002	2.00001	1.98699
16(G₃)	1.0	1.00280	1.02531	1.00001	1.00000	1.00001	0.99786
17	2.0	1.99987	1.99999	1.99999	1.99999	1.99999	1.99586
18	1.0	1.00016	1.00000	1.00000	1.00000	1.00000	1.03924
19	0.1	0.10016	0.10000	0.10000	0.10000	0.10000	0.10000
20	1.0	1.00263	1.00000	1.00000	1.00000	1.00001	0.99469
21	0.1	0.10003	0.10000	0.10000	0.10000	0.10000	0.10007
22	0.1	0.10010	0.10000	0.10000	0.10000	0.10000	0.10000
23	1.0	1.00127	1.00000	1.00000	1.00000	1.00000	0.99581
24	0.1	0.10003	0.10000	0.10000	0.10000	0.10000	0.10025
25	0.1	0.10003	0.10000	0.10000	0.10000	0.10000	0.10492
26	1.0	1.00023	1.00002	1.00001	1.00000	1.00001	1.05077
27	0.1	0.10001	0.10000	0.10000	0.10000	0.10000	0.10120
28(G₄)	1.0	0.96519	0.99594	1.00000	1.00000	1.00000	1.01865
29(G₄)	1.0	1.62390	1.04672	1.00000	1.00000	1.00001	0.90507
30(G₄)	1.0	1.56817	1.04245	1.00000	0.99999	1.00000	0.85521
31	1.0	0.99997	1.00000	1.00000	1.00000	1.00000	1.11984
32	1.0	1.00110	1.00000	1.00000	1.00000	1.00000	0.97161
33	1.0	1.00207	0.99998	1.00000	0.99998	0.99998	1.33808
34	1.0	0.99956	1.00000	1.00000	1.00000	1.00000	1.01811
35(G₅)	1.0	1.05000	1.00001	1.00000	1.00000	1.00000	1.05077
36(G₅)	1.0	2.03075	0.99999	1.00000	1.00000	1.00000	1.20947
Residual value		3.62E-9	4.26E-9	5.31E-9	6.49E-9	5.35E-9	1.12E-0

P^* are the nominal (true) values, P⁽¹⁾ the values based on the 1^st data set, P^(1)+(2) based on the 1^st, 2^nd data sets together, P^(1)+(2)+(3) based on the 1^st, 2^nd, and 3^rd data sets, P^(1)+…+(4) based on the 1^st to 4^th data sets, and P^(1)+…+(5) based on the 5 data sets, respectively. (w) means results from 10% noises on the data. Correlated parameter groups are highlighted separately.

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ISSN: 1752-0509

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