Table 2 

Model Parameters* 

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 Neuropilin1 per cell at time zero 
E(t = 0) 
1,000,000 #/cell 
# of ECM sites per cell which can bind VEGF at time zero 
3 × 10^{7 }M^{1 }s^{1}; 1 × 10^{3 }s^{1} 
Association/dissociation rate constant for VEGF binding to VEGFR1 

1 × 10^{7 }M^{1 }s^{1}; 1 × 10^{3 }s^{1} 
Association/dissociation rate constant for VEGF binding to VEGFR2 

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) 

3.125 × 10^{6 }M^{1 }s^{1}; 1 × 10^{3 }s^{1} 
Association/dissociation rate constant for VEGF binding to NP1 

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) 

3.1 × 10^{13 }(mol/cm^{2})^{1 }s^{1}; 1 × 10^{3 }s^{1} 
Coupling/uncoupling rate constant for VEGFVEGFR2 with NP1 

1 × 10^{14 }(mol/cm^{2})^{1 }s^{1}; 1 × 10^{2 }s^{1} 
Coupling/uncoupling rate constant for VEGFR1 with NP1 

1 × 10^{14 }(mol/cm^{2})^{1 }s^{1}; 1 × 10^{3 }s^{1} 
Coupling/uncoupling rate constant for VEGFNP1with VEGFR2 

Association/dissociation rate constant for VEGFf binding to VEGFR1NP1 

Coupling/uncoupling rate constant for VEGFfVEGFR1 with NP1 

k_{int} 
2.8 × 10^{4 }s^{1} 
Internalization rate for unbound receptors 
2.8 × 10^{4 }s^{1} 
Internalization rate for VEGFbound receptors 

2.8 × 10^{4 }s^{1} 
Internalization rate for VEGFfbound receptors 

S_{I} 
k_{int}I_{0} 
Synthesis rate for species I where I_{0 }is the initial concentration of I 


*Values are from literature when possible [20]. VEGFf assumed to interact in similar manner to VEGF when applicable. 

ForstenWilliams et al. BMC Systems Biology 2011 5:170 doi:10.1186/175205095170 