From: Complex receptor-ligand dynamics control the response of the VEGF system to protease injury
Symbol | Value | Meaning |
---|---|---|
R_{1}(t = 0) | 65,000 #/cell | # of VEGFR1 per cell at time zero |
R_{2}(t = 0) | 12,000 #/cell | # of VEGFR2 per cell at time zero |
N(t = 0) | 10,000 #/cell | # of Neuropilin-1 per cell at time zero |
E(t = 0) | 1,000,000 #/cell |
# of ECM sites per cell which can bind VEGF at time zero |
${k}_{f}^{VR1};{k}_{r}^{VR1}$ |
3 × 10^{7} M^{-1} s^{-1}; 1 × 10^{-3} s^{-1} |
Association/dissociation rate constant for VEGF binding to VEGFR1 |
${k}_{f}^{VR2};{k}_{r}^{VR2}$ |
1 × 10^{7} M^{-1} s^{-1}; 1 × 10^{-3} s^{-1} |
Association/dissociation rate constant for VEGF binding to VEGFR2 |
${k}_{f}^{VE};{k}_{r}^{VE}$ |
4.2 × 10^{5} M^{-1} s^{-1}; 1 × 10^{-2} s^{-1} |
Association/dissociation rate constant for VEGF binding to ECM (based on HS values from literature) |
${k}_{f}^{VN};{k}_{r}^{VN}$ |
3.125 × 10^{6} M^{-1} s^{-1}; 1 × 10^{-3} s^{-1} |
Association/dissociation rate constant for VEGF binding to NP-1 |
${k}_{f}^{FR1};{k}_{r}^{FR1}$ |
3 × 10^{7} M^{-1} s^{-1}; 1 × 10^{-3} s^{-1} |
Association/dissociation rate constant for VEGFf binding to VEGFR1(modeled the same as VEGF) |
${k}_{c}^{C2N};{k}_{uc}^{C2N}$ |
3.1 × 10^{13} (mol/cm^{2})^{-1} s^{-1}; 1 × 10^{-3} s^{-1} |
Coupling/uncoupling rate constant for VEGF-VEGFR2 with NP-1 |
${k}_{c}^{R1N};{k}_{uc}^{R1N}$ |
1 × 10^{14} (mol/cm^{2})^{-1} s^{-1}; 1 × 10^{-2} s^{-1} |
Coupling/uncoupling rate constant for VEGFR1 with NP-1 |
${k}_{c}^{CNR2};{k}_{uc}^{CNR2}$ |
1 × 10^{14} (mol/cm^{2})^{-1} s^{-1}; 1 × 10^{-3} s^{-1} |
Coupling/uncoupling rate constant for VEGF-NP-1with VEGFR2 |
${k}_{f}^{FX};{k}_{r}^{FX}$ | ${k}_{f}^{FR1};{k}_{r}^{FR1}$ |
Association/dissociation rate constant for VEGFf binding to VEGFR1-NP-1 |
${k}_{c}^{DN};{k}_{uc}^{DN}$ | ${k}_{c}^{R1N};{k}_{uc}^{R1N}$ |
Coupling/uncoupling rate constant for VEGFf-VEGFR1 with NP-1 |
k _{int} | 2.8 × 10^{-4} s^{-1} | Internalization rate for unbound receptors |
${k}_{\mathsf{\text{int}}\phantom{\rule{1em}{0ex}}}^{C}$ | 2.8 × 10^{-4} s^{-1} | Internalization rate for VEGF-bound receptors |
${k}_{\mathsf{\text{int}}\phantom{\rule{1em}{0ex}}}^{F}$ | 2.8 × 10^{-4} s^{-1} | Internalization rate for VEGFf-bound receptors |
S _{I} | k _{int} I _{0} | Synthesis rate for species I where I_{0} is the initial concentration of I |