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. 2018 Mar 29;13(3):e0194464. doi: 10.1371/journal.pone.0194464

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.