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Table 6 Summary of SPDOW optimized populations

From: Modeling the behavior of human induced pluripotent stem cells seeded on melt electrospun scaffolds

Optimized population S P D T O W O air W air
S , indep 96869.0 165.2 0.6 97034.8 NA NA NA NA
\(\bar {S^{*}}\), dep 3383.3 179.2 94.3 3656.8 0.5994 5 1.9622 3.3338
\(\hat {S^{*}}\), dep 3385.2 179.2 94.3 3658.7 0.5993 5.0002 1.9622 3.3338
\(\bar {S^{*}}\), d 1,d 2 indep 81249.0 252.3 4.7 81506.0 4.1506 5 6.1227 2.5887
\(\hat {S^{*}}\), d 1,d 2 indep 81110.0 251.6 4.7 81366.3 4.1499 5.0008 6.1227 2.5887
\(\bar {S^{*}}\), d 1,d 2,r indep 83213.0 142.3 2.7 83358.0 4.2405 5 6.1682 2.5990
\(\hat {S^{*}}\), d 1,d 2,r indep 82908.0 141.6 2.6 83052.2 4.2029 5.0020 6.1682 2.5990
P , indep 1896.3 3428.2 12.0 5336.5 NA NA NA NA
\(\bar {P^{*}}\), dep 12.8 147.3 120.4 280.5 0.8544 5 1.2588 4.5059
\(\hat {P^{*}}\), dep 19.2 153.3 123.0 295.5 0.8419 5.0152 1.2588 4.5059
\(\bar {P^{*}}\), d 2 indep 37.4 2880.5 53.7 2971.6 4.2776 5 4.9933 4.1258
\(\hat {P^{*}}\), d 2 indep 37.5 2881.2 53.7 2972.4 4.2776 5.0001 4.9933 4.1258
D , indep 848.4 883.9 1028.5 2760.8 NA NA NA NA
\(\bar {D^{*}}\), dep 1.0 54.1 334.7 389.8 3.9716 5 4.4258 4.4450
\(\hat {D^{*}}\), dep 1.3 54.4 336.7 392.4 3.9704 5.0014 4.4258 4.4450
  1. Numerically calculated values of true equilibria are denoted \(\hat {S^{*}}\), \(\hat {P^{*}}\), and \(\hat {D^{*}}\), while approximate values based on asymptotes are denoted \(\bar {S^{*}}\), \(\bar {P^{*}}\), and \(\bar {D^{*}}\)
  2. Note that the independent P and D equilibria are unstable; all other equilibria are stable