Modelling the electrical properties of tissue as a porous medium

Area of Science:

• Biophysics
• Electrical properties of biological tissues

Background:

• Understanding the electrical properties of biological tissues is crucial for various applications.
• Existing models often focus on specific aspects of dielectric dispersion.
• Biological tissues exhibit complex permittivity influenced by cellular structure.

Purpose of the Study:

• To develop a novel mathematical model for the complex permittivity of biological tissue.
• To incorporate tissue porosity and percolation probability into electrical property descriptions.
• To validate the model against experimental data for liver tissue.

Main Methods:

• Derived a mathematical model for complex permittivity from porous media formulations.
• Introduced porosity and percolation probability as key parameters.
• Calculated complex permittivity using plausible parameter distributions.
• Compared model predictions with published liver tissue electrical properties.

Main Results:

• The developed model shows broad agreement with experimental electrical property data for liver tissue.
• The model successfully parameterizes tissue electrical properties using porosity and percolation probability.
• Calculated complex permittivity aligns with measured values within the specified frequency range.

Conclusions:

• The proposed model offers a potentially more convenient method for parameterizing biological tissue electrical properties.
• Further experimental validation is recommended to confirm the model's accuracy across diverse tissues.
• This approach may yield significant biological and clinical insights through parameter measurement.