A mathematical model of pulsatile flow and pressure in a flexible tube with a possible branch and stenosis, or construction, was formulated. Solution of the model equations was performed by the finite element method and a numerical integration procedure. An in vitro experimental model of pulsatile flow in a flexible tube with a stenosis and a branch was devised to provide observed waveforms and directly measured vessel parameter values. The model response satisfactorily matched the experimental data and exhibited sensitivity to the parameters of interest: vessel compliance, peripheral resistance, and severity and location of the stenosis. The model response was not sensitive to the vessel radius. The Gauss-Newton algorithm was used to minimize the sum of squared error between model response and experimental waveforms by varying the model parameters.
- Pub Date:
- Pipes (Tubes);
- Error Analysis;
- Mathematical Models;
- Fluid Mechanics and Heat Transfer