Table 4. Dynamic simulation parameters affecting concentration fields and chemotactic responses.
Molecule | Parameter | Cell/Field Type | Symbol | Parameter Value | Equivalent Value | Ref |
VEGF165 | Diffusion | ECM | DV | 4.0×10−2 | 0.36 | [15], [25], [41], [84] |
Decay | ECM | kV | 1.0×10−3 | 1.0×10−3 | ||
Secretion | IC | SV:IC | 6.0×10−3 | 6.67×10−4 | [85] | |
MC | SV:MC | 5.0×10−3 | 5.55×10−4 | [32] | ||
Uptake | ECt | SV:Ect | −2.0×10−3 | −2.22×10−4 | ||
ECs | SV:Ecs | −2.0×10−3 | −2.22×10−4 | |||
Field coupling | sVEGFR1 | nr | −0.02 | [34] | ||
Proteases | np | 0.02 | [86] | |||
Chemotactic strength | ECt | λc:V:ECt | 600 | [43] | ||
ECs | λc:V:Ecs | 300 | [43] | |||
VEGF121 | Diffusion | ECM | DVf | 0.18 | 1.62 | [15], [25], [41], [84] |
Decay | ECM | kVf | 1.0×10−3 | 1.0×10−3 | ||
Secretion | ECs | SVf:Ecs | 2.0×10−3 | 2.22×10−4 | ||
IC | SVf:IC | 5.0×10−3 | 5.55×10−4 | [85] | ||
MC | SVf:MC | 5.0×10−3 | 5.55×10−4 | [32] | ||
(on contact) | ECs:MC | SVf:Ecs:MC | 4.0×10−3 | 4.44×10−4 | [32] | |
Uptake | ECt | SVf:Ect | −2.0×10−3 | −2.22×10−4 | ||
ECs | SVf:Ecs | −2.0×10−3 | −2.22×10−4 | |||
Chemotactic strength | ECt | λc:Vf:ECt | 400 | [43] | ||
ECs | λc:Vf:Ecs | 200 | [43] | |||
CCL2 | Diffusion | ECM | DC | 8.0×10−2 | 0.72 | |
Decay | ECM | kC | 2×10−3 | 2×10−3 | ||
Secretion | ECt | SC:Ect | 4.0×10−3 | 4.44×10−4 | [87], [88] | |
ECs | SC:Ecs | 2.0×10−3 | 2.22×10−4 | [87], [88] | ||
IC | SC:IC | 6.0×10−3 | 6.67×10−4 | [87] | ||
(on contact) | MC:IC | SC:MC:IC | 1.0×10−3 | 1.11×10−4 | [46] | |
(on contact) | IC:MC | SC:IC:MC | 1.0×10−3 | 1.11×10−4 | [46] | |
Chemotactic strength | ECt | λc:C:ECt | 400 | [39], [45] | ||
ECs | λc:C:Ecs | 200 | [39], [45] | |||
IC | λc:C:IC | 400 | [39], [45] | |||
CXCL10 | Diffusion | ECM | DCx | 8.0×10−2 | 0.72 | |
Decay | ECM | kCx | 2×10−3 | 2×10−3 | ||
Secretion | IC | SCx:IC | 5.0×10−3 | 5.55×10−4 | [87] | |
MC | SCx:MC | 3.0×10−3 | 3.33×10−4 | [87] | ||
sVEGFR1 | Diffusion | ECM | Dr | 0.14 | 1.26 | |
Decay | ECM | kr | 4×10−3 | 4×10−3 | ||
Secretion | ECs | Sr:Ecs | 2.0×10−3 | 2.22×10−4 | [38] | |
Chemotactic strength | ECt | λc:r:ECt | −200 | [34] | ||
Proteases | Diffusion | ECM | Dp | 0.2 | 1.8 | |
Decay | ECM | kp | 5×10−3 | 5×10−3 | ||
Secretion | ECt | Sp:Ect | 1.0×10−2 | 1.11×10−3 | [89] | |
ECs | Sp:Ecs | 1.0×10−3 | 1.11×10−4 | [89] | ||
(on contact) | ECt:IC | Sp:Ect:IC | 1.0×10−2 | 1.11×10−3 | [31], [38] | |
Chemotactic strength | IC | λc:r:IC | −200 | |||
TIE2 | Diffusion | ECM | DT | 0.1 | 0.9 | |
Decay | ECM | kT | 5×10−3 | 5×10−3 | ||
Secretion | ECt | ST:Ect | 5.0×10−3 | 5.55×10−4 | [90] | |
ECs | ST:Ecs | 1.0×10−3 | 1.11×10−4 | [90] | ||
Chemotactic strength | MC | λc:T:MC | 100 | [35] |
Diffusion units are pix2/s and µm2/s, decay units are MCS−1 and s−1, and secretion and uptake units are c.u./pix2/s and c.u./µm2/s, for parameter and equivalent values, respectively (c.u. is arbitrary concentration units). Parameter values were informed by experimental observations and in most cases estimated to achieve relative steady state concentrations that approximated measured serum levels. References correspond to measured values (diffusion, secretion) or observed behaviors (field coupling, chemotactic strength). ECt: endothelial tip cells, ECs: endothelial stalk cells, IC: inflammatory cells, MC: mural cells, ECM: extracellular matrix.