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Fig. 1. (A) Scheme of a bronchial junction showing the variables measured and the
method to compute geometrical (dG) and physical
(dP) distances. The bifurcation angle is 
,
d0 and l0 are diameter and length of
the parent bronchi, respectively, and l1,
l2, d1 and d2 are
the length and diameters of the daughter branches. The sub-index `1' always
indicates the lowest value. (B,C) From the measurements in A the length and
diameter scaling ratios (
and d, respectively) and
the length Lr and diameter Dr symmetry
ratios were computed:
=[(l1+l2)/2]/l0);
d=[(d1+d2)/2)/d0];
Lr=l1/l2;
Dr=d1/d2. (A,B)
From these measurements one point in the physical domain and one point in the
geometrical domain were obtained (open circles in B and C, respectively).
Geometrical and physical Euclidean distances are represented by the lines
between the open circle and the optimum points (solid circle) in each
domain.
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