Table 1. Biological relevance and values of the model parameters.
| Parameter | Value | Biological interpretation | Reference |
|---|---|---|---|
| a1 | 1 | Oct4 transcription rate | |
| a2 | 0.0001 | basal transcription level of the Oct4 gene | 10 |
| a3 | 1 | maximal activation constant of Oct4 transcription at a saturating level of the external signal A | 10 |
| A | 0 | signal A+ concentration | 10 |
| a4 | 0.01 | maximal activation constant of Oct4 transcription at a saturating level of the Oct4-Sox2 complex | 10 |
| a5 | 1 | effective dissociation constant between Oct4-Sox2 complex and the promoter of Oct4 gene | |
| a6 | 2 | Hill coefficient for Oct4 transcription regulation by Oct4-Sox2 heterodimer | |
| a7 | 0.0011 | activation constant of Oct4 transcription at a basal level of the external signal A | 10 |
| a8 | 0.001 | activation constant of Oct4 transcription at a basal level of the Oct4-Sox2 complex | 10 |
| a9 | 0.1 | decay rate for the Oct4 mRNA | |
| a10 | 1 | Sox2 transcription rate | |
| a11 | 0.0001 | basal transcription level of the Sox2 gene | 10 |
| a12 | 1 | maximal activation constant of Sox2 transcription at a saturating level of the external signal A | 10 |
| a13 | 0.01 | maximal activation constant of Sox2 transcription at a saturating level of the Oct4-Sox2 complex | 10 |
| a14 | 1 | effective dissociation constant between the Oct4-Sox2 complex and the promoter of Sox2 gene | |
| a15 | 2 | Hill coefficient for Sox2 transcription regulation by the Oct4-Sox2 heterodimer | |
| a16 | 0.0011 | activation constant of Sox2 transcription at a basal level of the external signal A | 10 |
| a17 | 0.001 | activation constant of Sox2 transcription at a basal level of the Oct4-Sox2 complex | 10 |
| a18 | 0.1 | decay rate for the Sox2 mRNA | 27;46–47 |
| a19 | 0.05 | Oct4-Sox2 complex association rate | 10 |
| a20 | 0.5 | decay rate for the Oct4-Sox2 heterodimer | |
| a21 | 0.001 | Oct4-Sox2 complex dissociation rate | |
| a22 | 0.0093 | transport rate of the Oct4 protein from cytoplasm to nucleus | |
| a23 | 0.0081 | decay rate for the Oct4 protein in the nucleus | 27;46–47 |
| a24 | 0.5 | translation rate of the Oct4 protein | |
| a25 | 0.00001 | decay rate for the Oct4 protein in the cytoplasm | 27;46–47 |
| a26 | 0.0093 | transport rate of the Sox2 protein from cytoplasm to nucleus | |
| a27 | 0.0081 | decay rate for the Sox2 protein in the nucleus | 27;46–47 |
| a28 | 0.5 | translation rate of the Sox2 protein | |
| a29 | 0.00001 | decay rate for the Sox2 protein in the cytoplasm | 27;46–47 |
| b1 | 1 | Nanog transcription rate | |
| b2 | 1 | basal transcription level of the Nanog gene | |
| b3 | 0.005 | maximal activation constant of Nanog transcription at a saturating level of the Oct4-Sox2 complex | 10 |
| b4 | 1 | effective dissociation constant between the Oct4-Sox2 complex and the promoter of Nanog gene | |
| b5 | 2 | Hill coefficient for Nanog transcription regulation by the Oct4-Sox2 heterodimer | |
| b6 | 0.001 | activation constant of Nanog transcription at a basal level of the Oct4-Sox2 complex | 10 |
| b7 | 1 | inhibition constant of Nanog transcription at a basal level of the Nanog protein | |
| b8 | 0.000995 | constant of a cooperative effect upon an joint impact of Oct4-Sox2 and Nanog proteins on Nanog transcription | 10 |
| b9 | 1 | effective dissociation constant between the Nanog protein and the promoter of the Nanog gene | |
| h | 2 | Hill coefficient for Nanog transcription regulation via Nanog autoinhibition mechanism | |
| b10 | 0.005 | decay rate for the Nanog mRNA | 27;46–47 |
| b11 | 0.0093 | transport rate of the Nanog protein from cytoplasm to nucleus | |
| b12 | 0.0081 | decay rate for the Nanog protein in the nucleus | 27;46–47 |
| b13 | 0.5 | translation rate of the Nanog protein | |
| b14 | 0.00001 | decay rate for the Nanog protein in the cytoplasm | 27;46–47 |
| c1* | 0.0001 | basal transcription level of pluripotency factors | |
| c2 | 0.1 | maximal activation constant for transcription of pluripotency factors at a saturating level of the Oct4-Sox2 complex | |
| c3 | 0.1 | constant of a maximal cooperative effect upon an joint impact of Oct4-Sox2 and Nanog proteins on transcription of pluripotency factors | |
| c4 | 0.001 | activation constant for transcription of pluripotency factors at a basal level of the Oct4-Sox2 complex | |
| c5 | 0.01 | constant of a cooperative effect upon an joint impact of Oct4-Sox2 and Nanog proteins at their basal level on transcription of pluripotency factors | |
| c6 | 0.05 | decay rate for pluripotency factors | |
| c7* | 1 | basal transcription level of differentiation factors | |
| c8 | 0.001 | inhibition constant for transcription of differentiation factors at a basal level of the Oct4-Sox2 complex | |
| c9 | 0.01 | constant of a cooperative inhibitory effect upon an joint impact of Oct4-Sox2 and Nanog proteins at their basal level on transcription of differentiation factors | |
| c10 | 0.01 | decay rate for differentiation factors | |
| q1 | 0.01 | maximal activation constant of Oct4 transcription at a saturating level of the Nanog protein | |
| q2 | 0.001 | activation constant of Oct4 transcription at a basal level of the Nanog protein | |
| q3 | 0.01 | maximal activation constant of Sox2 transcription at a saturating level of the Nanog protein | |
| q4 | 0.001 | activation constant of Sox2 transcription at a basal level of the Nanog protein | |
| p1 | 1 | effective dissociation constant between the Nanog protein and the promoter of the Oct4 gene | |
| h1 | 2 | Hill coefficient for Oct4 transcription regulation by the Nanog protein | |
| p2 | 1 | effective dissociation constant between the Nanog protein and the promoter of the Sox2 gene | |
| h2 | 2 | Hill coefficient for Sox2 transcription regulation by the Nanog protein |
* assumption that a transcription rate for the factor is the constant and equals to 1.