EE 515 Bioelectricity and Biomagnetism

EE 515 Bioelectricity and Biomagnetism

2011-2012 Academic Year - Fall Semester

Instructor: Murat Eyüboglu

Office: DZ-09

Catalogue Description: Vector Analysis, Electrical Sources and Fields, Introduction to Membrane Biophysics, Action Potentials, Volume Conductor Fields, Electrophysiology of the Heart, Electrocardiography (ECG), electric and magnetic lead fields, Electroencephalo-graphy (EEG), Magnetoencephalography (MEG).

Course Objectives / Goals: The main objective of this course is to provide an overview of the general principles of electric and magnetic fields in biological environments and application of these principles to obtain information from the human body.

Credit Hours: (3-0) 3

Textbook:

*Authors:*	*Title:*	*Publisher:*	*Year:*
R. Plonsey, R. C. Barr	Bioelectricity, A quantitative approach	Plenum Press	1988

Reference Books:

*Authors:*	*Title:*	*Publisher:*	*Year:*
J. Malmivuo, R. Plonsey	Bioelectromagnetism	Oxford Press	1995
R. M. Gulrajani	Bioelectricity and Biomagnetism	Wiley	1998
R. Plonsey, D.G. Fleming	Bioelectric Phenomena	McGraw-Hill	1969

Term Projects: Computer projects are assigned to implement the theoretical derivations presented in the class. Examples: simulations for action potential generation and propagation, numerical solutions for electric and magnetic fields due to current sources in spherical volume conductors.

Grading policy :

Midterm Exam 35%

Term Project 20%

Homeworks 5%

Final Exam 40%

Course Syllabus:

Week No: Subject

Introduction: The review of the concepts of vectors, scalars, gradient, divergence, and laplacian. Vector identities. Electrical Sources and Fields: description of the fundamental mathematical relationships linking sources and the electrical and magnetic fields they produce

2. Membrane Biophysics: Membrane electrical properties. Subtreshold Membrane Phenomena: Basic Biophysics tools (Fick's Law, Ohm's Law, Einstein's relation, space charge neutrality); Equilibrium in one ion system; Donnan equilibrium; Goldman Equations; Ion pumps; Cable equations and subtreshold conduction; Transmembrane potential distribution due to different current stimuli

3. Action Potentials: an examination of the time course of changes in membrane voltages that produce action potentials.

4. Subtreshold Stimuli: mathematical expressions for the response of active cells to naturally occurring or artificial stimuli, strength-duration relationships for spherical cells

5. Active behavior of the membrane: Voltage clamp method; Hodkin-Huxley Model; Propagation of action potentials, Properties of action potentials;

6. Propagation: propagation of excitation in a single nerve fiber, mathematics of propagating action potentials.

7. Extracellular Fields: description of mathematical relations that link the cellular action potential with the volume conductor fields. Extracellular potentials: Maxwell's equations; Quasi-static approximation for biological systems; Equivalent

source representations (single cell, single fiber, single equivalent fiber); Extracellular potentials using excised fiber bundle data; Volume conductor formulation in an inhomogeneous media

8. The Electrophysiology of the Heart: the major components of the electrical structure of the heart, heart vector electrocardiography, lead vector, standard leads, reference electrodes

9,10. Electrocardiography (ECG): Overview of cardiac electrophysiology; Classical electrocardiography (the 12-lead electrocardiogram, the clinical vector cardiogram, lead field theory); The Forward Problem of Electrocardiography

10,11. The Electric Fields of the Human Brain: Integral formulation for the potential due to

electrical activity in the brain, EEG recording, electrode placement, and aspects of source localization, temporal and spatial properties of EEG

11,12 Biomagnetism: Magnetostatic equations (Field equations for an infinite homogeneous medium, field equations for a medium with piecewise homogeneous conductivity); Examples of magnetic flux density calculations; Magnetic Lead Fields; Magnetocardiography (MCG) and Magnetoencephalography (MEG)

13,14 Measurement of intrinsic properties: Electrical impedance imaging using applied currents and surface voltage measurements, using induced currents and surface voltage measurements, applied currents and magnetic measurements, induced currents and magnetic measurements; Magnetic measurement of magnetic susceptibility.