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. 2018 Aug 29;9:1069. doi: 10.3389/fphys.2018.01069

Table 6.

Sensitivity of the network re-assigned vessel diameters in each order to perturbations in the model active parameters ρm, ϕm, Cm, Fτ max (±25% of their reference), network output pressure Pout (±20 mmHg of its references), and the target flow rate qtarget (±50% of its reference 0.4 × 10−3 mm3/s).

Parameter and perturbation Vessel diameter, d (μm)
Order 1 Order 2 Order 3 Order 4 Order 5 Order 6
Reference 9.6 ± 1.5 14.7 ± 1.3 21.9 ± 1.5 49.2 ± 4.4 99.9 ± 3.1 120.9 ± 0.0
ρm High 9.9 ± 1.2 14.3 ± 1.4 21.2 ± 1.7 46.7 ± 5.7 94.6 ± 11.0 115.8 ± 0.0
% Δd 3.6 −2.9 −3.4 −5.1 −5.3 −4.3
Low 9.3 ± 1.7 15.1 ± 1.0 22.5 ± 0.9 52.0 ± 0.0 101.7 ± 0.0 137.8 ± 0.0
% Δd −2.8 2.7 2.5 5.6 1.8 13.9
φm High 9.6 ± 1.5 14.6 ± 1.3 21.7 ± 1.7 49.0 ± 4.5 101.7 ± 0.0 114.4 ± 0.0
% Δd 0.4 −0.7 −0.9 −0.4 1.8 −5.4
Low 9.7 ± 1.3 14.1 ± 1.3 21.7 ± 1.4 48.3 ± 5.6 91.5 ± 9.2 103.9 ± 0.0
% Δd 1.3 −0.9 −1.0 −1.9 −8.4 −14.1
Cm High 9.8 ± 1.3 14.5 ± 1.4 21.4 ± 1.6 47.9 ± 5.8 92.6 ± 7.9 102.4 ± 0.0
% Δd 2.4 −1.8 −2.1 −2.7 −7.3 −15.3
Low 9.6 ± 1.5 14.7 ± 1.3 21.8 ± 1.6 49.1 ± 4.4 101.7 ± 0.0 148.3 ± 0.0
% Δd 0.2 −0.5 −0.6 −0.2 1.8 22.6
Fτmax High 9.3 ± 1.8 15.3 ± 0.7 22.7 ± 0.0 52.0 ± 0.0 101.7 ± 0.0 123.6 ± 0.0
% Δd −2.9 3.7 3.7 5.6 1.8 2.2
Low 9.8 ± 1.2 14.3 ± 1.4 21.3 ± 1.6 47.9 ± 5.8 96.1 ± 8.4 123.8 ± 0.0
% Δd 2.9 −2.6 −2.9 −2.8 −3.8 2.3
Pout High 10.2 ± 1.0 14.9 ± 1.1 22.1 ± 1.0 48.9 ± 5.0 97.4 ± 6.7 136.5 ± 0.0
% Δd 6.4 1.0 0.8 −0.8 −2.5 12.9
Low 9.2 ± 1.6 14.1 ± 1.5 20.6 ± 1.9 46.4 ± 5.8 94.1 ± 10.1 111.1 ± 0.0
% Δd −3.6 −4.1 −5.8 −5.8 −5.8 −8.1
qtarget High 10.3 ± 0.9 15.4 ± 0.1 22.7 ± 0.0 52.0 ± 0.0 101.7 ± 0.0 202.6 ± 0.0
% Δd 7.9 4.5 3.7 5.6 1.8 67.5
Low 8.7 ± 1.6 12.6 ± 1.6 17.7 ± 2.0 38.8 ± 5.6 79.5 ± 10.4 101.8 ± 0.0
% Δd −9.3 −14.4 −19.3 −21.1 −20.5 −15.8

d = (d−dreference)/dreference.