which is again known as Murray’s law or the cube law for bifurcation.
over the mother vessel lumen area, we have:
Defining an area ratio as the sum of the daughter vessel lumen areas
For an equi-bifurcation, or that r1=r2, we have
Substitute, we have, for the area ratio:
When the angle of branching is involved, with half angles of
the optimum rate of energy is obtained when
Extensive data of vascular branches have been obtained by several
investigators for vascular branches in different vascular beds (e.g. Li et
al., 1984; Schmidt-Shoenbein, 1986;Kassab et al., 1993; Kassab and
Fung, 1995; Zamir, 2000). Data from pig coronary arteries by Kassab et
al. (1993) show that Murray’s law works very well in both control and
modified cost function that includes a metabolic
and takes into consideration the wall thickness of the vessel,
This does not appear to differ significantly from Murray’s formulation.