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Table 1 Simulation parameters

From: Three-dimensional tumor growth in time-varying chemical fields: a modeling framework and theoretical study

Parameter Symbol Value References and remarks
Lattice size N 21  
Time step Δτ 10 s
Voxel edge Δs 2 mm
Average cell population capacity for each voxel M 8 ∙ 106 cells [74]
Maximum cell population capacity for each voxel M max 1.02M Assumed (see also appendix)
Oxygen Diffusion Coefficient D o 1.8 ∙ 10−5 cm2/sec [14, 52, 53]
Glucose Diffusion Coefficient D gl 1.05 ∙ 10− 5 cm2/sec [14, 52, 53]
Cell diffusion Coefficient D c 1.5 ∙ 10− 8 to 1.5 ∙ 10− 6 cm2/sec [56, 99]
Maximum mitosis rate a max 16 ∙ 10− 6 mitoses/cell/10 s Corresponding to a doubling time of 5 days in ideal chemical conditions
Cell cycle duration cc 24 h [36, 37]
Quiescent host cell Oxygen consumption K o 250 ∙ 10− 6 pmol/sec [36, 37, 84]
Quiescent host cell Glucose consumption K gl 50 ∙ 10− 6 pmol/sec [36, 37, 84]
Maximum absolute value of oxygen provision/absorption by local vasculature in normal tissue o_b_max 2.8 ∙ 103 pmol/sec Estimated by values given in [93]
Maximum absolute value of glucose provision/absorption by local vasculature in normal tissue gl_b_max 560 pmol/sec Estimated by values given in [93]
Maximum vasculature expansion rate v e 1.6 ∙ 10−5-8 ∙ 10− 5 Corresponding to minimum doubling time ranging from 5 to 1 days
Maximum vasculature regression rate v r 1.6 ∙ 10−5-8 ∙ 10− 5 Corresponding to minimum halftime ranging from 5 to 1 days
Hypoxia threshold percentage h o 30% of oxygen level in normal tissue [5, 37]
Hypoglycemia threshold percentage h gl 50% of glucose level in normal tissue [37, 98]
Oxygen per voxel in normal tissue \( \overline{o_0} \) 1.2 ∙ 103 pmol [45, 92] corresponding to concentration in capillary blood.
Glucose per voxel in normal tissue \( \overline{gl_0} \) 40 ∙ 103 pmol [45, 92] corresponding to concentration in capillary blood.
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