Table 2

Model Parameters*

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

<a onClick="popup('http://www.biomedcentral.com/1752-0509/5/170/mathml/M18','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1752-0509/5/170/mathml/M18">View MathML</a>

3 × 107 M-1 s-1;

1 × 10-3 s-1

Association/dissociation rate constant for

VEGF binding to VEGFR1

<a onClick="popup('http://www.biomedcentral.com/1752-0509/5/170/mathml/M19','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1752-0509/5/170/mathml/M19">View MathML</a>

1 × 107 M-1 s-1;

1 × 10-3 s-1

Association/dissociation rate constant for

VEGF binding to VEGFR2

<a onClick="popup('http://www.biomedcentral.com/1752-0509/5/170/mathml/M20','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1752-0509/5/170/mathml/M20">View MathML</a>

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)

<a onClick="popup('http://www.biomedcentral.com/1752-0509/5/170/mathml/M21','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1752-0509/5/170/mathml/M21">View MathML</a>

3.125 × 106 M-1 s-1;

1 × 10-3 s-1

Association/dissociation rate constant for

VEGF binding to NP-1

<a onClick="popup('http://www.biomedcentral.com/1752-0509/5/170/mathml/M22','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1752-0509/5/170/mathml/M22">View MathML</a>

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)

<a onClick="popup('http://www.biomedcentral.com/1752-0509/5/170/mathml/M23','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1752-0509/5/170/mathml/M23">View MathML</a>

3.1 × 1013 (mol/cm2)-1 s-1;

1 × 10-3 s-1

Coupling/uncoupling rate constant for

VEGF-VEGFR2 with NP-1

<a onClick="popup('http://www.biomedcentral.com/1752-0509/5/170/mathml/M24','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1752-0509/5/170/mathml/M24">View MathML</a>

1 × 1014 (mol/cm2)-1 s-1;

1 × 10-2 s-1

Coupling/uncoupling rate constant for

VEGFR1 with NP-1

<a onClick="popup('http://www.biomedcentral.com/1752-0509/5/170/mathml/M25','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1752-0509/5/170/mathml/M25">View MathML</a>

1 × 1014 (mol/cm2)-1 s-1;

1 × 10-3 s-1

Coupling/uncoupling rate constant for

VEGF-NP-1with VEGFR2

<a onClick="popup('http://www.biomedcentral.com/1752-0509/5/170/mathml/M26','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1752-0509/5/170/mathml/M26">View MathML</a>

<a onClick="popup('http://www.biomedcentral.com/1752-0509/5/170/mathml/M27','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1752-0509/5/170/mathml/M27">View MathML</a>

Association/dissociation rate constant for

VEGFf binding to VEGFR1-NP-1

<a onClick="popup('http://www.biomedcentral.com/1752-0509/5/170/mathml/M28','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1752-0509/5/170/mathml/M28">View MathML</a>

<a onClick="popup('http://www.biomedcentral.com/1752-0509/5/170/mathml/M29','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1752-0509/5/170/mathml/M29">View MathML</a>

Coupling/uncoupling rate constant for

VEGFf-VEGFR1 with NP-1

kint

2.8 × 10-4 s-1

Internalization rate for unbound receptors

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2.8 × 10-4 s-1

Internalization rate for VEGF-bound receptors

<a onClick="popup('http://www.biomedcentral.com/1752-0509/5/170/mathml/M31','MathML',630,470);return false;" target="_blank" href="http://www.biomedcentral.com/1752-0509/5/170/mathml/M31">View MathML</a>

2.8 × 10-4 s-1

Internalization rate for VEGFf-bound receptors

SI

kintI0

Synthesis rate for species I where I0 is the initial concentration of I


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

Forsten-Williams et al. BMC Systems Biology 2011 5:170   doi:10.1186/1752-0509-5-170

Open Data