Constructive Algorithm of Optimized Arterial Networks

Abstract

Detailed models of complex arterial trees can be generated from optimizations principles using the computational method of Constrained Constructive Optimization (CCO). In this method, a arterial tree is modeled as dichotomously branching system of straight cylindrical tubes, with resistance and flow conditions calculated by Poiseuille’s law. At bifurcations, the radii of parent and daughter segments obey Murray’s law and the process of growing the tree is governed by minimizing a target function (total intravascular volume). CCO models have been shown to adequately reproduce key features of real arterial trees, such as segment radii, branching angle statistics and pressure profiles. We developed an algorithm based on CCO method to create optimized arterial networks taking into account the main feeding artery radius to be constant during the growth process.