Parameter identification in a generalized time-harmonic Rayleigh damping model for elastography.
Parameter identification in a generalized time-harmonic Rayleigh damping model for elastography.
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DOI：
10.1371/journal.pone.0093080
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发表时间：
2014
期刊：
影响因子：
3.7
通讯作者：
Van Houten EE
中科院分区：
文献类型：
--
作者：
Van Houten EE
通过分析连续介质平衡方程和一个简单的弹簧-质量系统，研究了广义Rayleigh阻尼模型中两个阻尼分量的可辨识性。广义瑞利阻尼提供了比纯粘弹性更多样化的衰减模型，具有两个参数来描述衰减效应并解释生物组织中发现的复杂阻尼行为。对于非均质瑞利阻尼材料，没有等效的粘弹性系统来描述所观察到的运动。对于均匀系统，逆问题，以确定两个瑞利阻尼组件被认为是唯一的，在这个意义上说，参数识别的逆矩阵是满秩的，有一定的条件：当多频数据是可用的，或当剪切和剪切波传播被考虑在内。对于多频率的情况下，弹性参数的频率依赖性增加了一定程度的复杂性的重建问题，必须解决合理的解决方案。对于纵波情况，流体饱和软组织中纵波测量的准确性成为定性参数识别的问题。这些问题可以通过对软组织中的振动波的可忽略阻尼水平的合理假设来解决。在一般情况下，广义瑞利阻尼模型的参数是可识别的弹性成像反问题，虽然更复杂的条件比简单的粘弹性阻尼模型。这种方法的价值在于广义瑞利阻尼模型提供的额外结构信息，这些信息可以与组织成分以及流变学解释相关联。
The identifiability of the two damping components of a Generalized Rayleigh Damping model is investigated through analysis of the continuum equilibrium equations as well as a simple spring-mass system. Generalized Rayleigh Damping provides a more diversified attenuation model than pure Viscoelasticity, with two parameters to describe attenuation effects and account for the complex damping behavior found in biological tissue. For heterogeneous Rayleigh Damped materials, there is no equivalent Viscoelastic system to describe the observed motions. For homogeneous systems, the inverse problem to determine the two Rayleigh Damping components is seen to be uniquely posed, in the sense that the inverse matrix for parameter identification is full rank, with certain conditions: when either multi-frequency data is available or when both shear and dilatational wave propagation is taken into account. For the multi-frequency case, the frequency dependency of the elastic parameters adds a level of complexity to the reconstruction problem that must be addressed for reasonable solutions. For the dilatational wave case, the accuracy of compressional wave measurement in fluid saturated soft tissues becomes an issue for qualitative parameter identification. These issues can be addressed with reasonable assumptions on the negligible damping levels of dilatational waves in soft tissue. In general, the parameters of a Generalized Rayleigh Damping model are identifiable for the elastography inverse problem, although with more complex conditions than the simpler Viscoelastic damping model. The value of this approach is the additional structural information provided by the Generalized Rayleigh Damping model, which can be linked to tissue composition as well as rheological interpretations.
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影响因子：
2.9
作者：
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通讯作者：
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影响因子：
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作者：
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通讯作者：
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