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.