Related Experiment Video
Updated: Jul 2, 2025

In Vitro Model of Physiological and Pathological Blood Flow with Application to Investigations of Vascular Cell Remodeling
Published on: November 3, 2015
Tube law parametrization using in vitro data for one-dimensional blood flow in arteries and veins: TUBE LAW
Chiara Colombo1, Annunziato Siviglia1, Eleuterio F Toro2
1Department of Civil, Environmental and Mechanical Engineering, University of Trento, Trento, Italy.
Abstract:
The deformability of blood vessels in one-dimensional blood flow models is typically described through a pressure-area relation, known as the tube law. The most used tube laws take into account the elastic and viscous components of the tension of the vessel wall. Accurately parametrizing the tube laws is vital for replicating pressure and flow wave propagation phenomena. Here, we present a novel mathematical-property-preserving approach for the estimation of the parameters of the elastic and viscoelastic tube laws. Our goal was to estimate the parameters by using ovine and human in vitro data, while constraining them to meet prescribed mathematical properties. Results show that both elastic and viscoelastic tube laws accurately describe experimental pressure-area data concerning both quantitative and qualitative aspects. Additionally, the viscoelastic tube law can provide a qualitative explanation for the observed hysteresis cycles. The two models were evaluated using two approaches: (i) allowing all parameters to freely vary within their respective ranges and (ii) fixing some of the parameters. The former approach was found to be the most suitable for reproducing pressure-area curves.
More Related Videos
Related Concept Videos
Steady, Laminar Flow in Circular Tubes
Blood Flow
Bernoulli's Equation: Problem Solving
The first step is to compute the cross-sectional areas of the pipe and the Venturi throat to analyze the pressure difference indicated by the pressure gauge. Next, the continuity...
Laminar and Turbulent Flow
Steady, Laminar Flow Between Parallel Plates
Laminar Flow

