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Transcranial ultrasound modeling using the spectral-element method.

Patrick Marty¹, Christian Boehm¹, Martin van Driel¹

¹Institute of Geophysics, Department of Earth and Planetary Sciences, ETH Zürich, 8092 Zürich, Switzerland.

The Journal of the Acoustical Society of America

|December 3, 2024

Summary

This summary is machine-generated.

This study presents a spectral-element method for accurate ultrasound wave modeling in lossy media, crucial for transcranial ultrasound imaging and treatment. The approach efficiently handles complex geometries and interfaces, improving simulation fidelity.

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Area of Science:

Biomedical Engineering
Computational Physics
Acoustics

Background:

Accurate modeling of ultrasound propagation in heterogeneous media is essential for medical applications.
Existing methods struggle with attenuation and complex interfaces in fluid-solid environments.
Transcranial ultrasound faces challenges due to bone's acoustic properties and wave attenuation.

Purpose of the Study:

To develop a spectral-element method formulation for coupled viscoacoustic-viscoelastic wave equations.
To incorporate wave attenuation in both fluid and solid regions within the model.
To establish an end-to-end workflow for spectral-element simulations in transcranial ultrasound.

Main Methods:

Utilized a matrix-free, high-order finite-element spectral-element method.
Developed a coupled viscoacoustic-viscoelastic wave equation formulation.
Implemented explicit meshing for distinct interfaces to avoid staircasing artifacts.

Main Results:

Demonstrated the spectral-element method's accuracy and computational efficiency for ultrasound simulations.
Successfully incorporated attenuation effects in fluid and solid media.
Showcased the method's ability to handle high impedance contrasts and complex geometries.

Conclusions:

The spectral-element method provides an effective and accurate approach for modeling ultrasound propagation in lossy fluid-solid media.
This technique is highly suitable for transcranial ultrasound imaging and focused ultrasound therapies.
The modeling approach is broadly applicable to other soft tissue-bone systems in medical imaging.