Nonlinear Derating for High Intensity Focused Ultrasound

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Solution Overview

Problem

High intensity focused ultrasound systems face inaccuracies in predicting acoustic field parameters due to the assumption of linear acoustic propagation, which is unsuitable for nonlinear acoustic fields, leading to errors in tissue heating and treatment protocols.

Innovation Solution

A nonlinear derating method that measures and models focal waveforms in water to scale source outputs and determine parameters of nonlinear ultrasound fields in tissue, accounting for nonlinear effects and tissue attenuation, using equations such as the Khokhlov-Zabolotskaya-Kuznetsov equation and Westervelt equation to accurately predict focal waveforms and heating rates.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Ease of operation

If linear derating is used to estimate acoustic field parameters, then the derating process is simple and straightforward, but the prediction accuracy deteriorates due to nonlinear acoustic propagation effects

Engineering Contradiction:
Improvederating process simplicityVSAvoidacoustic field parameter prediction accuracy
Core Design Contradiction:
Ease of operationVSMeasurement precision

Solution Approach 1:

The patent transforms the derating approach by changing the fundamental parameter assumption from linear to nonlinear acoustic propagation. It introduces nonlinear parameters (B/A coefficient, harmonic content) to characterize the acoustic field, allowing accurate prediction of focal pressure, intensity, and heating rates in high-intensity focused ultrasound where linear assumptions fail.

Inventive Principle:
Principle #35Parameter changes

2Device complexity

If linear extrapolation is used to scale source pressure to focal pressure, then the calculation is computationally simple, but the focal pressure amplitude prediction becomes inaccurate under high intensity conditions

Engineering Contradiction:
Improvecalculation complexityVSAvoidfocal pressure amplitude prediction accuracy
Core Design Contradiction:
Device complexityVSMeasurement precision

Solution Approach 1:

The patent introduces an intermediary nonlinear propagation model that bridges the gap between simple linear extrapolation and complex full nonlinear simulation. It uses measured source pressure combined with nonlinear parameters (B/A coefficient, attenuation coefficient) to calculate focal pressure through corrected scaling relationships, achieving accuracy without full computational complexity.

Inventive Principle:
Principle #24Intermediary (Mediator)

3Device complexity

If linear derating assumes quadratic relationship between wave intensity and pressure amplitude, then the model is mathematically simple, but it fails to account for harmonic contributions to intensity and heating

Engineering Contradiction:
Improvemodel mathematical complexityVSAvoidheating rate prediction reliability
Core Design Contradiction:
Device complexityVSReliability

Solution Approach 1:

The patent extends the derating model by adding the frequency dimension through harmonic analysis. Instead of considering only the fundamental frequency, it incorporates contributions from multiple harmonics (2f, 3f, 4f, etc.) that are generated during nonlinear propagation. This allows accurate calculation of total intensity and heating rate by summing contributions across the frequency spectrum.

Inventive Principle:
Principle #17Another dimension (Dimensionality change)

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

The method provides accurate prediction of nonlinear acoustic field parameters, enhancing the safety and efficacy of high intensity ultrasound treatments by accounting for nonlinear effects and tissue attenuation, improving treatment protocols and safety standards.

Implementation Method 1

high intensity ultrasound energy can be radiated toward a focal region in tissue... The accumulation of the harmonic frequencies causes rapid heating at the focal region

Methodology Applied
Scientific EffectNonlinear acoustic propagation: Acoustics

Implementation Method 2

The harmonic frequencies of the nonlinear waves have a higher contrast to noise ratio than that of the fundamental frequency

Methodology Applied
Scientific EffectHarmonic frequency generation: Second Harmonic Generation

Implementation Method 3

The measured values are then linearly extrapolated to account (1) for higher source outputs used in medical procedures and (2) for tissue attenuation

Methodology Applied
Scientific EffectLinear extrapolation:

Implementation Method 4

the linearly scaled focal pressure can then be derated by a compensation factor that depends on the propagation path (i.e., the focal distance) and the linear attenuation coefficient of tissue

Methodology Applied
Scientific EffectTissue attenuation: Absorption (physical)

Implementation Method 5

the wave intensity at the focus is not a quadratic function of the pressure amplitude at the fundamental frequency, but instead consists of contributions from all of the harmonics

Methodology Applied
Scientific EffectHarmonic frequency contributions: Second Harmonic Generation

Implementation Method 6

the heating rate at the focus is not proportional to the intensity at the focus due to the contribution of more readily absorbed higher frequency components

Methodology Applied
Scientific EffectUltrasound-induced heating: Heating

Implementation Method 7

the heating rate at the focus is not proportional to the intensity at the focus due to the contribution of more readily absorbed higher frequency components

Methodology Applied
Scientific EffectFrequency-dependent absorption: Absorption (physical)

Data Source

PatentUS8668658B2Derating method for therapeutic applications of high intensity focused ultrasound
Publication Date: 2014.03.11 UNIV OF WASHINGTON
  • US8668658B2 patent drawing
  • US8668658B2 patent drawing
  • US8668658B2 patent drawing

AI summary

Methods of derating a nonlinear ultrasound field and associated systems are disclosed herein. A method of derating a nonlinear ultrasound field in accordance with an embodiment of the present technology can include, for example, calibrating an ultrasound source to a first source voltage (Vw) and generating a nonlinear acoustic wave from the ultrasound source into water. The method can further include measuring a focal waveform of the nonlinear acoustic wave and determining a second source voltage (Vt) of the ultrasound source that generates the same focal waveform in tissue.