Mathematical Models and Numerical Schemes for the Simulation of Human Phonation
Mathematical Models and Numerical Schemes for the Simulation of Human Phonation
复制标题
DOI：
10.2174/157489311796904655
复制
发表时间：
2011-09-01
影响因子：
4
通讯作者：
Zoerner, Stefan
中科院分区：
文献类型：
--
作者：
Alipour, Fariborz;Bruecker, Christoph;Zoerner, Stefan
声学数据长期以来一直被收集在基本的语音调查，因为它很容易获得使用麦克风。然而，声学信号本身并不能揭示出声波、结构表面波、机械振动和发声中涉及的流体流动之间的复杂相互作用。在过去的十年中，可用的高速成像技术提供了关于发声期间喉的上级表面的机械变形的丰富信息。由于时间分辨率低（MRI和超声）和X射线剂量相关危害（CT和标准X射线），可变形软组织内部结构的时间分辨图像尚不可行。规避这些挑战的一种可能的方法是使用数学模型来再现可观察的行为，例如发声频率、闭商、起始压力、抖动、闪烁、辐射声压和气流。发声的数学模型在复杂性上不同于自由度相对较小的系统（多质量模型）到基于偏微分方程（PDE）的模型，偏微分方程主要通过有限元（FE）方法求解，导致数百万个自由度。我们将概述人类发声过程的数学模型的现状，因为它们已经作为有价值的工具，用于提供对发声的基本机制的洞察，并且最终可能具有足够的细节和准确性，以允许基于个体的手术计划、诊断和康复评估。此外，我们也将批判性地讨论这些模型w.r.t.使用的几何形状、边界条件、材料特性、其验证和再现性。
Acoustic data has long been harvested in fundamental voice investigations since it is easily obtained using a microphone. However, acoustic signals alone do not reveal much about the complex interplay between sound waves, structural surface waves, mechanical vibrations, and fluid flow involved in phonation. Available high speed imaging techniques have over the past ten years provided a wealth of information about the mechanical deformation of the superior surface of the larynx during phonation. Time-resolved images of the inner structure of the deformable soft tissues are not yet feasible because of low temporal resolution (MRI and ultrasound) and x-ray dose-related hazards (CT and standard x-ray). One possible approach to circumvent these challenges is to use mathematical models that reproduce observable behavior such as phonation frequency, closed quotient, onset pressure, jitter, shimmer, radiated sound pressure, and airflow. Mathematical models of phonation range in complexity from systems with relatively small degrees of freedom (multi-mass models) to models based on partial differential equations (PDEs) mostly solved by finite element (FE) methods resulting in millions of degrees-of-freedom.We will provide an overview about the current state of mathematical models for the human phonation process, since they have served as valuable tools for providing insight into the basic mechanisms of phonation and may eventually be of sufficient detail and accuracy to allow surgical planning, diagnostics, and rehabilitation evaluations on an individual basis. Furthermore, we will also critically discuss these models w.r.t. the used geometry, boundary conditions, material properties, their verification, and reproducibility.