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Updated: Jul 17, 2025

Measuring and Manipulating Functionally Specific Neural Pathways in the Human Motor System with Transcranial Magnetic Stimulation
Published on: February 23, 2020
Software Package for Transcranial Magnetic Stimulation Coil and Coil Array Analysis and Design.
Leah Morales1, William A Wartman1, Jonathan Ferreira1,2
1Electrical and Computer Engineering, Worcester Polytechnic Inst., Worcester, MA 01609 USA.
A new MATLAB software package accurately designs transcranial magnetic stimulation (TMS) coils. It computes electric and magnetic fields and inductances for various coil designs using the fast multipole method (FMM).
Area of Science:
- Biomedical Engineering
- Electromagnetics
- Computational Physics
Background:
- Transcranial Magnetic Stimulation (TMS) requires precise coil design for effective therapeutic application.
- Accurate modeling of electric and magnetic fields is crucial for TMS coil optimization.
- Existing methods for coil analysis can be computationally intensive and complex.
Approach:
- Developed a MATLAB software package for TMS coil analysis and design.
- Employs a wire-based approach to precisely model complex conductor geometries.
- Utilizes the Fast Multipole Method (FMM) for efficient computation of fields and inductances.
Key Points:
- The software computes electric/magnetic fields and self/mutual inductances for coils with or without magnetic cores.
- Handles solid and stranded (Litz wire) conductors, generating wire and CAD meshes automatically.
- Achieved high accuracy, with <0.74% difference from ANSYS Maxwell 3D for inductance and <1.25% difference from experimental measurements.
Conclusions:
- The developed software package offers a precise and efficient tool for TMS coil analysis and design.
- The FMM-based approach ensures rapid evaluation of complex current distributions.
- The software's applicability extends beyond TMS to general quasistatic inductor design.
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