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Table 1 The parameters of the ABM

From: Multi-scale agent-based modeling on melanoma and its related angiogenesis analysis

Symbol

Variable

Initial value

Reference

λ 0

Normal death rate of melanoma cell

0

[28]

w 1

Regulatory factor of Equation 1

0.01

Estimated

w 2

Regulatory factor of Equation 1

1

Estimated

λ 2

Initial proliferation rate of melanoma cell

32 h (16.9 h-47.3 h)

[28]

λ g

Diffusion constant of glucose

6.7 (5.2-7.2) × 10-7 cm2 /s

[22, 29]

Pe g

Permeability for glucose

3 × 10-5 (0.2-7)cm/s

[22, 30]

U g

Glucose uptake rate of melanoma cell

0.28 mmol/h

[22]

D g

Natural decay rate of glucose

0.2 (0.1-0.4)

Estimated

λ v

Diffusion constant of VEGF

2.9 (1–9.4) × 10-7 cm2/ s

[23, 31]

Se v

Secretion rate for VEGF

0.6 (0.6-1) nM/h

[32]

Pe v

Permeability for VEGF

0.1 × 10-4 cm/s

[23, 31]

D v

Natural decay rate of VEGF

0.2 (0.1-0.4)

Estimated

λ d

Diffusion constant of drug

5.18 (1–10) × 10-7 cm2 /s

[33, 34]

Pe d

Permeability for drug

3 (0.2-7) × 10-5 cm/s

[33, 34]

U d

Drug uptake rate

0.2 (0.1-0.4)

Estimated

w 3

Regulator factor of Equation. 8

0.01

Estimated

λ 3

Normal death rate of endothelia cell

0

[31]

w 4

Regulatory factor of Equation 13

0.01

Estimated

w 5

Regulatory factor of Equation 13

1

Estimated

W 6

Regulatory factor of Equation 14

0.01

Estimated