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. Author manuscript; available in PMC: 2023 May 1.
Published in final edited form as: Nanoscale. 2016 Jul 27;8(31):14877–14887. doi: 10.1039/c6nr01637e

Table 4.

(1) Estimated key parameters of the model; (2) estimated key parameters of the intracellular pathway.

(1)
Symbol Value Unit Description
V 1 1.9608 nM/hr Maximum activation velocity of Smad1/5 by BMP2 [1]
K 1 33.7255 nM Michaelis activation coefficient of Smad1/5 by BMP2 [1]
d 1 1.0000 hr−1 Decay rate of phosphorylated Smad1/5 [1]
V 2 40.0000 nM/hr Maximum activation velocity of Smad2/3 by TGFβ [1]
K 2 10.0000 nM Michaelis activation coefficient of Smad2/3 by TGFβ [9]
d 2 0.1961 hr−1 Decay rate of phosphorylated Smad2/3 [9]
V 4 0.8198 nM/hr Maximum activation velocity of Runx2 by Smad1/5 [9]
K 4 93.4510 nM Michaelis activation coefficient of Runx2 by Smad1/5 [9]
V 5 0.8786 nM/hr Maximum activation velocity of Runx2 by Smad2/3 [9]
K 5 9.8039 nM Michaelis activation coefficient of Runx2 by Smad2/3 [9]
V 6 9.8039 nM/hr Maximum activation velocity of Runx2 by β-catenin [9]
K 6 590.5882 nM Michaelis activation coefficient of Runx2 by β-catenin [12]
d 1 36.8634 hr−1 Degradation rate of Runx2 [12]
V 7 0.0519 nM/hr Maximum activation velocity of Osx by Smad1/5 [12]
K 7 984.3137 nM Michaelis activation coefficient of Osx by Smad1/5 [12]
V 8 0.0392 nM/hr Maximum activation velocity of Osx by Runx2 [12]
K 8 139.2157 nM Michaelis activation coefficient of Osx by Runx2 [12]
ds 0.0224 hr−1 Degradation rate of Osx [12]
Sp 450.0000 m/s Speed of propagation of sound in immature bone [12]
Sa 720.0000 m/s Speed of propagation of sound in mature bone [12]
(2)
Parameter Mesenchymal stem cell Pre-osteoblast Active osteoblast
Spearman ρ p value Spearman ρ p value Spearman ρ p value
V 6 0.6512 0.7985 0.5201 5.2047×10−3 0.3719 1.5261×10−3
V 2 0.1839 2.4592 0.1459 3.6012 −0.3596 6.1427
K 6 0.4116 0.8583 0.5206 2.3935×10−2 0.1216 0.0003
K 2 −0.7195 3.0152 0.7633 4.9112 0.1769 3.5903
d 1 0.3552 0.7985 −0.0178 7.561×10−5 0.3819 4.7219×10−5
d 2 −0.1268 0.8916 0.3145 1.3927 0.1181 0.9265
V 8 0.9816 5.3071 0.9761 6.3275 0.8995 1.6231×10−6
ds 0.5545 2.7046 0.5103 1.091 0.6534 3.1659×10−4
Sp 0.8912 0.0152 0.4169 3.5916×10−3 0.6051 2.6719×10−3
Sa 0.9609 0.0429 0.9872 5.6201×10−3 0.9910 1.9602×10−3