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. 2025 May 23;15:17944. doi: 10.1038/s41598-025-02852-9

Table 4.

Parameters for the model.

Parameters Descriptions Values References
Inline graphic Rate of production of ECM by F 21.71 Inline graphic est.
Inline graphic Rate of recruitment of Inline graphic Inline graphic Inline graphic est.
Inline graphic Rate of Inline graphic-induced transition Inline graphic Inline graphic Inline graphic est.
Inline graphic Rate of Inline graphic-induced transition Inline graphic Inline graphic Inline graphic est.
Inline graphic Rate of Inline graphic-induced transition Inline graphic Inline graphic Inline graphic est.
Inline graphic Rate of transition Inline graphic Inline graphic Inline graphic est.
Inline graphic Rate of proliferation of F 0.15 Inline graphic est.
Inline graphic Rate of transition Inline graphic 0.015 Inline graphic est.
Inline graphic Rate of maturation of E by EPC Inline graphic Inline graphic est.
Inline graphic Recruitment rate of P Inline graphic g/Inline graphic Inline graphic est.
Inline graphic Rate of production of P by F Inline graphic Inline graphic est.
Inline graphic Rate of production of Inline graphic Inline graphic Inline graphic est.
Inline graphic Rate of production of Inline graphic by F Inline graphic Inline graphic est.
Inline graphic Rate of production of Inline graphic by Inline graphic Inline graphic Inline graphic est.
Inline graphic Inline graphic-factor of Inline graphic-production by F 0.1 est.
Inline graphic Rate of production of V by Inline graphic 3.17 Inline graphic est.
Inline graphic Rate of production of V by F 3.17 Inline graphic 40,41est.
Inline graphic Rate of production of V by Inline graphic 31.7 Inline graphic 40,41est.
Inline graphic Rate of production of Inline graphic by Inline graphic Inline graphic Inline graphic 66est.
Inline graphic Rate of circulation of oxygen Inline graphic Inline graphic est.
Inline graphic Rate of Q-enhanced proliferation of F 0.2 d Inline graphic est.
Inline graphic Rate of consumption of oxygen 0.3 Inline graphic/g Inline graphic est.
Inline graphic Factor of internal isotropic medium 0.19 Inline graphic est.
Inline graphic Chemotactic coefficient of P 1000 Inline graphic/gInline graphicd 81est.
Inline graphic Chemotactic coefficient of V 1000 Inline graphic/gInline graphicd 81est.
Inline graphic Fraction of effect of Inline graphic on production of Inline graphic by F 0.1 est.
Inline graphic Coefficient of maturation of E by V 1 est.
Inline graphic Half-saturation of Inline graphic Inline graphic g/Inline graphic 70est.
Inline graphic Half-saturation of Inline graphic Inline graphic g/Inline graphic 69est.
Inline graphic Half-saturation of P Inline graphic g/Inline graphic 71est.
Inline graphic Half-saturation of Inline graphic Inline graphic g/Inline graphic 72est.
Inline graphic Half-saturation of V Inline graphic g/Inline graphic 9est.
Inline graphic Healthy state of ECM 0.04 g/Inline graphic 61est.
Inline graphic Threshold of pressure of ECM 0.008 g/Inline graphic 61est.
Inline graphic Carrying capacity of ECM 0.044 g/Inline graphic 61est.
Inline graphic Recruitment rate of Inline graphic Inline graphic g/Inline graphic Inline graphic est.
Inline graphic Oxygen concentration Inline graphic g/Inline graphic 82,83est.
Inline graphic Oxygen concentration in extreme hypoxia Inline graphic g/Inline graphic 82,83est.
Inline graphic Steady state in health of Inline graphic Inline graphic g/Inline graphic 63est.
Inline graphic Steady state in health of Inline graphic Inline graphic g/Inline graphic 63est.
Inline graphic Steady state in health of F Inline graphic g/Inline graphic 64,65est.
Inline graphic Steady state in health of Inline graphic Inline graphic g/Inline graphic 66est.
Inline graphic Steady state in health of E Inline graphic g/Inline graphic 67,68est.
Inline graphic Degradation rate of ECM 0.37 Inline graphic 36
Inline graphic Degradation rate of PDGF 33 Inline graphic 84est.
Inline graphic Degradation rate of TNF-Inline graphic 216.6 Inline graphic 76est.
Inline graphic Degradation rate of TGF-Inline graphic 495.1 Inline graphic 85est.
Inline graphic Degradation rate of VEGF 16.5 Inline graphic 86est.
Inline graphic Degradation rate of oxygen Inline graphic Inline graphic 87est.
Inline graphic Death rate of Inline graphic 0.033 Inline graphic 78est.
Inline graphic Death rate of Inline graphic 0.099 Inline graphic 78est.
Inline graphic Death rate of endothelial cells 0.045 Inline graphic 80est.
Inline graphic Death rate of F 0.02 Inline graphic 88est.
Inline graphic Death rate of Inline graphic 0.025 Inline graphic est.
Inline graphic Death rate of Inline graphic 1.073 Inline graphic 73est.
Inline graphic Depletion rate of P by F Inline graphic Inline graphic est.
Inline graphic Depletion rate of P by M Inline graphic Inline graphic est.
Inline graphic Depletion rate of E by V 19.8 Inline graphic est.
Inline graphic Depletion rate of Inline graphic by w Inline graphic Inline graphic est.
Inline graphic Death rate of F by w Inline graphic Inline graphic est.
Inline graphic Rate of Q-enhanced secretion of Inline graphic by F Inline graphic d Inline graphic est.
Inline graphic Rate of elimination of Inline graphic by Q Inline graphic Inline graphic est.
Inline graphic Diffusion coefficient of Inline graphic Inline graphic Inline graphic 89est.
Inline graphic Diffusion coefficient of Inline graphic Inline graphic Inline graphic 89est.
Inline graphic Diffusion coefficient of E Inline graphic Inline graphic 89est.
Inline graphic Diffusion coefficient of F Inline graphic Inline graphic 89est.
Inline graphic Diffusion coefficient of Inline graphic Inline graphic Inline graphic 89est.
Inline graphic Diffusion coefficient of P Inline graphic Inline graphic 90est.
Inline graphic Diffusion coefficient of Inline graphic Inline graphic Inline graphic 91est.
Inline graphic Diffusion coefficient of Inline graphic Inline graphic Inline graphic 91est.
Inline graphic Diffusion coefficient of V Inline graphic Inline graphic 92est.
Inline graphic Diffusion coefficient of w 2 Inline graphic 93est.
Inline graphic Diabetic effect of oxygen flow blockade 10 This work
Inline graphic Diabetic effect of Inline graphic blockade 2 This work
Inline graphic Diabetic effect of Inline graphic blockade 50 d This work