Multiscale optimization of the probe placement for radiofrequency ablation

Area of Science:

• Biomedical Engineering
• Computational Physics

Background:

• Radiofrequency (RF) ablation is a minimally invasive procedure.
• Optimal probe placement is crucial for effective RF ablation and minimizing tissue damage.

Purpose of the Study:

• To develop and present a mathematical model for optimizing mono- and bipolar probe placement in RF ablation.
• To describe the underlying partial differential equations governing electric potential and heat distribution.

Main Methods:

• Minimizing a temperature-based objective function subject to partial differential equation constraints.
• Extending the model for multiple coupled RF probes.
• Employing a multiscale gradient descent approach for solving the optimality system.
• Implementing the approach using finite elements on 3D hexahedral grids.

Main Results:

• The study details the discretization and finite element implementation of the optimization model.
• The model is validated through applications to artificial test scenarios.
• A comparison with real RF ablation procedures demonstrates the approach's utility.

Conclusions:

• The presented model offers a robust method for optimizing RF probe placement.
• This optimization can lead to more effective and safer RF ablation treatments.
• The finite element implementation provides a practical tool for clinical application.