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A Matlab library for solving quasi-static volume conduction problems using the boundary element method.

M Stenroos1, V Mäntynen, J Nenonen

  • 1Helsinki University of Technology, Laboratory of Biomedical Engineering, FI-02015, TKK, Finland. matti.stenroos@tkk.fi

Computer Methods and Programs in Biomedicine
|November 21, 2007
PubMed
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We present a free Matlab library for the boundary element method (BEM) to model bioelectromagnetic problems. This tool simplifies solving Laplace's equation for potential problems and volume conduction, aiding researchers and students.

Area of Science:

  • Computational electromagnetics
  • Bioengineering
  • Applied mathematics

Background:

  • The boundary element method (BEM) is crucial for modeling bioelectromagnetic phenomena.
  • A lack of accessible, free Matlab libraries hinders BEM application in this field.
  • Matlab is widely adopted by students and researchers in scientific computing.

Purpose of the Study:

  • To introduce a freely available, user-friendly Matlab library for BEM computations.
  • To facilitate the modeling of bioelectromagnetic volume conduction and quasi-static potential problems governed by the Laplace equation.
  • To provide a practical tool for educational and research purposes in bioelectromagnetics.

Main Methods:

  • Detailed explanation of the boundary element method (BEM) principles.

Related Experiment Videos

  • Step-by-step discretization of the surface integral equation for electric potential.
  • Development and description of the Matlab BEM library's structure and contents.
  • Validation of the library using analytical solutions for spherical volume conductors.

    • Main Results:

    • A functional, freely available Matlab BEM library for solving Laplace's equation in bioelectromagnetics.
    • Demonstration of the library's efficacy through validated computations in spherical models.
    • Presentation of three practical application examples showcasing the library's utility.

    Conclusions:

    • The developed Matlab BEM library effectively addresses the need for accessible computational tools in bioelectromagnetics.
    • The library enables researchers and students to readily model and analyze bioelectric phenomena.
    • The provided resource, including source code and examples, promotes wider adoption and understanding of BEM in the field.