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

Figure 3

Effect of varying the vascular hydraulic permeability, 𝐿_𝑝 (mm/s/mm Hg), in the tumor tissue on AGF concentrations (Figure 3(a)) and angiogenic activity (Figure 3(b)). The values of 𝛼_𝑡=2, 6, 14 correspond to 𝐿_𝑝=3.6×10⁻⁷, 3.7×10⁻⁶, 1.86×10⁻⁵ mm/s/mm Hg. The parameter for host tissue was fixed at 𝛼_ℎ=2. This changes the shape of the resulting pressure profile and thus the interstitial fluid velocity.

(a)

(b)