Pressure distribution in the pial arterial system of rats based on morphometric data and mathematical models.

The objective of the present work was a theoretical evaluation of pial arterial pressures in normotensive rats and spontaneously hypertensive rats based on the geometry and topography of the pial arterial system as well as on various topological models of the vascular trees. Pial branches of the middle cerebral artery in the diameter range of 30–320 μm were selectively visualized by corrosion compound, and the diameter and length of vascular segments were measured. The vessels were classified into branching orders by the methods of Horsfield and Strahler. The steady-state pressure distribution in the pial arterial system was calculated assuming that the flow at the bifurcations was partitioned in proportion to a given power of the diameters of the daughter branches (diameter exponent). The maximum number of vascular segments along the longest branch varied between 16 and 33. The mean branching ratio was 4.14 ± 0.23 (SD). The mean diameter of vessels classified into Strahler orders 1–5 were: 50 ± 12, 71 ± ...