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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