Wave Propagation in a Fractional Viscoelastic Tissue Model: Application to Transluminal Procedures.

Area of Science:

• Biomedical Engineering
• Medical Imaging
• Computational Physics

Background:

• Elastography maps soft tissue elastic properties.
• Modeling tissue viscoelasticity is crucial for accurate elastography.
• Fractional calculus offers advanced modeling for complex biological tissues.

Purpose of the Study:

• To present a novel wave propagation model for transluminal elastography.
• To develop a computational tool for simulating shear wave behavior in tissues.
• To assess the feasibility of a transluminal approach for medical imaging.

Main Methods:

• A Kelvin Voigt Fractional Derivative (KVFD) viscoelastic wave equation was employed.
• The KVFD model was numerically solved using the Finite Difference Time Domain (FDTD) method.
• Shear wave transmission and reflection through a luminal wall were simulated.

Main Results:

• Shear waves were successfully transmitted through the simulated luminal wall.
• Reflected shear wave echoes from altered elasticity zones were detected.
• The model demonstrated the feasibility of detecting elasticity variations via transluminal wave propagation.

Conclusions:

• The developed wave propagation model is a viable tool for transluminal elastography.
• This approach shows potential for non-invasive imaging of tissue mechanical properties.
• The study validates the use of fractional calculus in modeling soft tissue biomechanics for medical applications.