Mathematical analysis of network topology in the cerebrocortical microvasculature.

Abstract

The three-dimensional branching pattern of deep cerebrocortical capillary networks was reconstructed from histological sections. The distribution of blood flow in a mathematical model of the reconstructed network was calculated. The transit of red blood cells through the network was simulated by computer, and the total path length traveled by the cells was estimated. The results support both anatomical and hemodynamic heterogeneity of the cerebrocortical microvascular system.