TOPICS:
Part I: Potentials, Fields, and Currents in Conductive Tissues
1. Boundary value problems for conductive regions.
* Homogeneous versus inhomogeneous regions.
* Isotropic versus anisotropic regions.
2. Analytical solutions by separation of variables.
* Inhomogeneity and anisotropy.
* Anisotropy tensor when principal axes are not aligned with the
coordinate system.
3. Numerical solutions using a finite element package.
4. Measurement of conductivity in isotropic and anisotropic tissues:
Four-electrode resistivity technique.
Part II: Problems Involving Transmembrane Potential
1. Macroscopic vs. cellular-level view of tissues: Setting up
boundary value problems involving membranes.
2. Continuum models: core-conductor and bidomain.
* Connection between a BVP for a single fiber and the core-conductor model.
* Analytical solutions to passive core-conductor and bidomain models.
* Bidomain with unequal anisotropy ratios ("dogbone").
3. Discrete models:
* Tissues with unconnected cells.
* Tissues with connected cells.
Part III: Bioelectric Engineering
1. Tissue stimulation.
* Intracellular vs. extracellular stimulation. Activating Function.
* Stimulation waveforms (monophasic vs. biphasic).
* Strenght-duration relationship.
* Recruitment.
2. Extracellular recordings.
* Source-field models for single fiber and fiber bundles lying in
a volume conductor.
* Forward and inverse problems.
3. Electrodes: Impedance, current density, electrochemistry.
4. Tissue damage
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