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Modulational Instability and localized modes for ultrasound contrast microbubbles surface oscillations

机译:超声对比微泡表面振荡的调制不稳定性和局部模式

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Microbubble surface modes appear when contrast agents are insonified with specific ultrasound pulses. In this case, the radius becomes a space-dependent function which can be expanded on the basis of spherical harmonics describing the spatial vibrational modes of the bubble. The radial symmetry-breaking, which appears through a Modulational Instability (MI), is typical of many extended nonlinear systems subjected to an external driving. Here we present a mechanical analogue of bubble pulsations, consisting in a macroscopic ring of coupled oscillators driven by parametric forcing. Depending on the amplitude and the frequency of the driving, the mechanical ring presents a parametric instability leading to surface modes and localized modes oscillating at subharmonics of the parametric excitation. Bubbles are used as contrast agent in medical ultrasound imaging and to carry some drug to special locations. The perspective of this analysis is to define practical optimized ultrasound pulses exciting the bubble and leading to drug delivery applications.
机译:当造影剂与特定超声脉冲钝化时,会出现微泡表面模式。在这种情况下,半径变为空间相关的功能,可以基于描述气泡的空间振动模式的球面谐波来扩展。通过调制不稳定(MI)出现的径向对称性是典型的许多延伸的非线性系统经受外部驱动。在这里,我们介绍了气泡脉动的机械类似物,其由由参数强制驱动的耦合振荡器的宏观环。根据驱动的幅度和频率,机械环呈现参数稳定性,导致参数化振荡的偏振上的表面模式和局部模式。气泡用作医学超声成像中的造影剂,并将一些药物带入特殊位置。该分析的视角是定义令人兴奋的泡沫的实际优化的超声脉冲,并导致药物递送应用。

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