Computational and Mathematical Methods in Medicine

Research Article

Mathematical Model of the Effect of Interstitial Fluid Pressure on Angiogenic Behavior in Solid Tumors

Table 2

Model parameters [10, 11].
ParameterUnitsHostTumorNormalized
Rmm—44
Kmm2/s/mm Hg2.5 × 10−52.5 × 10−52.5 × 10−5
Angiogenic growth factors
Dpmm2/s4.0 × 10−55.5 × 10−55.5 × 10−5
Damm2/s3.25 × 10−54.0 × 10−54.0 × 10−5
kps−12.0 × 10−41.99 × 10−41.99 × 10−4
kas−11.5 × 10−41.1 × 10−41.1 × 10−4
𝑔 𝑝 μg/mm3/s2.0 × 10−412.0 × 10−412.0 × 10−4
𝑔 𝑎 μg/mm3/s1.5 × 10−47.0 × 10−47.0 × 10−4
̃ 𝑘 𝑝 —8057.957.9
̃ 𝑘 𝑎 —73.84444
̃ 𝑔 𝑝 —80349349
̃ 𝑔 𝑎 —73.8280280
𝐾 𝑝 —12.59.19.1
𝐾 𝑎 —15.412.512.5
Interstitial fluid pressure
𝐿 𝑝 mm/s/mm Hg3.6 × 10−71.86 × 10−53.7 × 10−6
S/V mm2/mm317.416.515.2
𝑝 𝑣 mm Hg202020
σ—0.918.7 × 10−52.1 × 10−3
π vmm Hg2019.819.2
π imm Hg1017.315.1
𝑝 𝑒 mm Hg10.92020
𝛼 —2146