Conjecture on reflectionlessness of blood-vascular system as a wave-conducting medium
Fluid Dynamics
2024-11-27 v1 Pattern Formation and Solitons
Medical Physics
Abstract
Our research is related to the employment of photoplethysmography (PPG) and laser Doppler flowmetry (LDF) techniques (measuring the blood volume and flux, respectively) for the peripheral vascular system. We derive the governing equations of the wave dynamics for the case of extremely inhomogeneous parameters. We argue for the conjecture that the blood-vascular system as a wave-conducting medium should be nearly reflection-free. With the reflectionlessness condition, one can find the general solution to the governing equation and, on the basis of this solution, analyse the relationships between PPG- and LDF-signals.
Cite
@article{arxiv.1704.06038,
title = {Conjecture on reflectionlessness of blood-vascular system as a wave-conducting medium},
author = {Denis S Goldobin and Irina A Mizeva},
journal= {arXiv preprint arXiv:1704.06038},
year = {2024}
}
Comments
8 pages, 2 figures