A note on fractional derivative modeling of broadband frequency-dependent absorption: Model III

TL;DR

This paper introduces a fractional derivative PDE model to describe broadband ultrasound propagation in human tissues, expanding the application of fractional calculus beyond solid viscoelastic materials.

Contribution

It presents a novel fractional derivative PDE model specifically designed for broadband ultrasound in biological tissues, filling a gap in existing modeling approaches.

Findings

Model effectively captures broadband ultrasound behavior in tissues

Demonstrates improved accuracy over classical models

Provides a new framework for tissue acoustics analysis

Abstract

By far, the fractional derivative model is mainly related to the modelling of complicated solid viscoelastic material. In this study, we try to build the fractional derivative PDE model for broadband ultrasound propagation through human tissues.