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Table 2 Model Parameters*

From: Complex receptor-ligand dynamics control the response of the VEGF system to protease injury

Symbol Value Meaning
R1(t = 0) 65,000 #/cell # of VEGFR1 per cell at time zero
R2(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 V R 1 ; k r V R 1 3 × 107 M-1 s-1;
1 × 10-3 s-1
Association/dissociation rate constant for
VEGF binding to VEGFR1
k f V R 2 ; k r V R 2 1 × 107 M-1 s-1;
1 × 10-3 s-1
Association/dissociation rate constant for
VEGF binding to VEGFR2
k f V E ; k r V E 4.2 × 105 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 V N ; k r V N 3.125 × 106 M-1 s-1;
1 × 10-3 s-1
Association/dissociation rate constant for
VEGF binding to NP-1
k f F R 1 ; k r F R 1 3 × 107 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 C 2 N ; k u c C 2 N 3.1 × 1013 (mol/cm2)-1 s-1;
1 × 10-3 s-1
Coupling/uncoupling rate constant for
VEGF-VEGFR2 with NP-1
k c R 1 N ; k u c R 1 N 1 × 1014 (mol/cm2)-1 s-1;
1 × 10-2 s-1
Coupling/uncoupling rate constant for
VEGFR1 with NP-1
k c C N R 2 ; k u c C N R 2 1 × 1014 (mol/cm2)-1 s-1;
1 × 10-3 s-1
Coupling/uncoupling rate constant for
VEGF-NP-1with VEGFR2
k f F X ; k r F X k f F R 1 ; k r F R 1 Association/dissociation rate constant for
VEGFf binding to VEGFR1-NP-1
k c D N ; k u c D N k c R 1 N ; k u c R 1 N Coupling/uncoupling rate constant for
VEGFf-VEGFR1 with NP-1
k int 2.8 × 10-4 s-1 Internalization rate for unbound receptors
k int C 2.8 × 10-4 s-1 Internalization rate for VEGF-bound receptors
k int 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 I0 is the initial concentration of I
  1. *Values are from literature when possible [20]. VEGFf assumed to interact in similar manner to VEGF when applicable.