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Updated: Jul 3, 2026

In Vitro Model of Physiological and Pathological Blood Flow with Application to Investigations of Vascular Cell Remodeling
Published on: November 3, 2015
Remodeling of conduit arteries in hypertension and flow-overload obeys a minimum energy principle
1Department of Biomedical Engineering, Indiana University Purdue University Indianapolis, 723 W. Michigan Street, Indianapolis, IN 46202, USA.
Abstract:
Arterial remodeling is an important process in physiology and pathophysiology. Based on an energy minimization method, Murray's law predicts the optimal inner radius. Application of Darcy's law in the wall results in an optimal outer radius. The average wall stress is computed by the Laplace's law. Using these formulas, a large porcine coronary artery in hypertension is studied. The results reveal how wall thickness and average circumferential stress change after increasing blood pressure and volume flow rate. The theoretical predictions are in good qualitative agreement with experimental observations. The advantage and limitation of the current approach are discussed.
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