Anharmonic analysis of arterial blood pressure and flow pulses
| Autor: | Lambros K. Michalis, C.V. Massalas, P.A. Voltairas, Dimitrios I. Fotiadis |
|---|---|
| Rok vydání: | 2005 |
| Předmět: |
Wave propagation
Quantitative Biology::Tissues and Organs Physics::Medical Physics Biomedical Engineering Biophysics Blood Pressure symbols.namesake Orthogonality Oscillometry Animals Humans Waveform Computer Simulation Orthopedics and Sports Medicine Mathematics Rehabilitation Models Cardiovascular Arteries Blood flow Mechanics Eigenfunction Blood Physiological Phenomena Blood Viscosity Classical mechanics Fourier transform Flow (mathematics) Fourier analysis Pulsatile Flow symbols Blood Flow Velocity |
| Zdroj: | Journal of Biomechanics. 38:1423-1431 |
| ISSN: | 0021-9290 |
| DOI: | 10.1016/j.jbiomech.2004.06.023 |
| Popis: | Fourier analysis is usually employed for the computation of blood flow in arteries. Although the orthogonality of Fourier eigenfunctions guarantees the accurate mathematical modeling of the blood pressure and flow waveforms, the physics behind this objective function is frequently missing. We propose a new method to account for the blood pressure and flow, single-cycle (systole-diastole) waveforms. It is based on the one dimensional hydrodynamic mass and momentum conservation equations for viscous flow. The similarity of the linear problem, under discussion, with related transmission line theory in electromagnetic wave propagation, permits expansion in anharmonic, non-separable eigenfunctions. In some cases one term in the expansion is adequate to fit the main peak of the observed waveforms. Analytical formulas are derived for the dependence of the pressure and flow main peaks on whole blood viscosity and distance from the heart, which interpret observations related to hypertension. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect