Estimating Network Kinetics of the MAPK/ERK Pathway Using Biochemical Data

Table 7

Posterior means (μ), standard deviations (σ), and acceptance ratios (p) for the estimated rate constants 𝑐_𝑖 for Model 1 from the western blotting data when Δ𝑡=5 and Δ𝑡=10 time unit, respectively. The estimates are based on 15,000 MCMC runs after 85,000 burn-in runs.

Reaction		Δ𝑡=5 unit			Δ𝑡=10 unit
	𝜇	𝜎	𝑝	𝜇	𝜎	𝑝
𝑐1	1.008×10^−2	1.219×10^−3	0.133	1.030×10^−2	1.291×10^−3	0.070
𝑐2	7.707×10^−3	1.148×10^−3	0.134	5.344×10^−3	8.487×10^−4	0.070
𝑐3	8.061×10^−3	1.441×10^−3	0.134	2.808×10^−2	4.336×10^−3	0.070
𝑐4	1.583×10^−2	1.280×10^−2	0.170	1.115×10^−2	9.342×10^−3	0.110
𝑐5	3.920×10^−3	3.551×10^−3	0.170	5.615×10^−3	4.142×10^−3	0.110
𝑐6	1.936×10^−3	1.729×10^−3	0.170	4.269×10^−2	2.200×10^−3	0.110
𝑐7	1.495×10^−2	9.222×10^−4	0.116	8.626×10^−5	8.144×10^−5	0.152
𝑐8	4.863×10^−2	3.140×10^−2	0.116	1.170×10^−2	1.055×10^−2	0.152
𝑐9	8.207×10^−2	2.955×10^−2	0.116	7.175×10^−2	1.221×10^−2	0.152
𝑐10	1.323×10^−2	3.806×10^−3	0.067	2.417×10^−2	2.847×10^−3	0.069
𝑐11	6.802×10^−5	1.906×10^−5	0.067	1.466×10^−4	2.753×10^−5	0.069
𝑐12	1.911×10^−1	4.272×10^−3	0.067	1.143×10^−1	4.948×10^−3	0.069
𝑐13	9.018×10^−2	2.693×10^−3	0.063	5.981×10^−2	2.650×10^−3	0.082
𝑐14	3.771×10^−2	1.019×10^−2	0.063	1.268×10^−1	1.976×10^−2	0.082
𝑐15	3.075	4.708×10^−2	0.063	5.404	1.265×10^−1	0.081
𝑐16	5.820×10^−4	4.940×10^−5	0.095	7.620×10^−4	5.648×10^−5	0.087
𝑐17	2.593×10^−1	1.173×10^−3	0.093	7.053×10^−1	6.147×10^−4	0.084
𝑐18	1.126×10^−4	1.629×10^−5	0.095	1.220×10^−4	6.378×10^−6	0.087
𝑐19	4.486×10^−3	2.599×10^−4	0.080	2.544×10^−4	9.265×10^−6	0.015
𝑐20	1.053×10^−3	1.274×10^−4	0.080	3.734×10^−4	6.867×10^−5	0.015
𝑐21	7.311×10^−3	5.164×10^−4	0.080	1.140×10^−2	2.944×10^−4	0.015
𝑐22	2.370×10^−3	2.846×10^−4	0.081	1.008×10^−3	1.792×10^−4	0.062
𝑐23	3.346×10^−5	9.889×10^−6	0.081	1.804×10^−4	2.893×10^−5	0.063
𝑐24	4.694×10^−1	4.176×10^−3	0.081	2.526×10^−1	2.539×10^−3	0.062
𝑐25	3.046×10^−2	4.346×10^−3	0.020	2.373×10^−1	3.101×10^−2	0.116
𝑐26	5.659×10^−5	3.625×10^−5	0.020	6.631×10^−4	1.615×10^−4	0.116
𝑐27	1.614×10^−3	6.033×10^−4	0.020	3.801×10^−3	1.908×10^−3	0.116
𝑐28	4.537×10^−5	1.401×10^−5	0.054	2.085×10^−5	1.327×10^−5	0.061
𝑐29	1.878×10^−1	5.200×10^−3	0.054	3.369×10^−2	2.679×10^−3	0.061
𝑐30	5.698×10^−1	3.673×10^−2	0.054	1.398×10^−2	8.928×10^−4	0.061
𝑐31	5.442×10^−2	2.554×10^−3	0.050	4.812×10^−2	2.139×10^−3	0.137
𝑐32	4.123×10^−1	2.216×10^−2	0.050	4.021×10^−1	2.590×10^−2	0.137
𝑐33	1.584×10^−3	1.401×10^−3	0.050	9.498×10^−3	5.594×10^−3	0.137
𝑐34	1.787×10^−4	1.531×10^−4	0.075	5.371×10^−4	2.169×10^−4	0.103
𝑐35	5.809×10^−3	5.354×10^−3	0.075	5.067×10^−2	1.478×10^−2	0.104
𝑐36	1.825×10^−1	1.468×10^−2	0.075	1.458×10^−1	6.914×10^−3	0.103
𝑐37	8.745×10^−3	2.396×10^−3	0.034	3.347×10^−2	7.648×10^−3	0.118
𝑐38	9.191×10^−3	8.221×10^−3	0.034	1.433×10^−2	1.313×10^−2	0.119
𝑐39	3.930	1.817×10^−1	0.034	4.362	2.063×10^−1	0.118