Routh H F, Law Y F, Mo L Y, Ojha M, Vaitkus P J, Cobbold R S, Johnston K W, Bascom P A
Institute of Biomedical Engineering, University of Toronto, Canada.
Med Prog Technol. 1989;15(3-4):155-69.
Mathematical and physical models are essential tools in both fundamental and clinically applied Doppler ultrasound research. In this paper we illustrate a variety of models and show how they can be used to understand and interpret clinical Doppler ultrasound signals, particularly from stenosed arteries. The physical models discussed include both steady and pulsatile flow systems, and also a flow visualization technique that can be used to interpret the Doppler signals at a fundamental hemodynamic level. The mathematical models deal with three different aspects of the Doppler signal: models that describe the mechanism of ultrasound scattering by blood, a model to stimulate the returned Doppler signal and a model that may be used to aid in the analysis of clinical recordings. Each of these models provides a more complete understanding of blood flow through normal and stenosed vessels and contributes to the interpretation of clinical Doppler signals.
数学模型和物理模型是基础及临床应用多普勒超声研究的重要工具。在本文中，我们阐述了多种模型，并展示了如何利用它们来理解和解读临床多普勒超声信号，特别是来自狭窄动脉的信号。所讨论的物理模型包括稳定流和脉动流系统，还有一种可用于在基础血液动力学层面解读多普勒信号的血流可视化技术。数学模型涉及多普勒信号的三个不同方面：描述血液超声散射机制的模型、模拟返回多普勒信号的模型以及可用于辅助分析临床记录的模型。这些模型中的每一个都能让我们更全面地了解正常和狭窄血管中的血流情况，并有助于解读临床多普勒信号。
