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Principles of Biomedical
Systems & Devices
PBS&D – Fall 2004 – Polikar
http://engineering.rowan.edu/~polikar/CLASSES/ECE404
Lecture 7:
The Electrocardiogram
This Week in PBS&D
PBS&D – Fall 2004 – Polikar
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Cardiac conduction system
Electrocardiography
Cardiac vector model
ECG leads and lead configurations
Einthoven’s Triangle
Measuring ECG
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Cardiac Conduction System
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The Electrocardiogram
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The ECG
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The ECG
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The Modern ECG
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Electrocardiograph
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Holter Monitor
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Dipole Model
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 The electrical activity of the heart can be modeled with a vector
quantity: an electric dipole, M whose magnitude and direction
changes in time. Also called the cardiac vector
Standard Locations?
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 Potentials generated by the heart appear throughout the body
 Measurements made at different locations will generate different
recordings.
 Need standard positions for electrode placement so that clinical
evaluations of ECG can be made
ECG Lead Configurations
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 A pair of electrodes, or a combination of several electrodes through
a resistive network that gives an equivalent pair is called a lead.
 A vector that connects a lead electrode pair is the lead vector.
 If the cardiac vector M is known, the voltage generated at any lead
can be easily computed.
vai = M ⋅ a i
a2
M
a1
θ
υa1
+
Frontal Plane Bipolar Leads
Einthoven Triangle
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I − II + III = 0
The Einthoven Triangle
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Lead I
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Lead I is the first of three standard limb leads (I, II, III).
Limb leads measure cardiac depolarization in the frontal
(coronal) plane.
The negative electrode is connected to the RIGHT ARM.
The positive electrode is connected to the LEFT ARM.
The axis is 0 degrees.
When an action potential starts on the right and proceeds
toward the left side of the heart, a positive inflection will be
seen in lead one. This holds true for all leads. Whenever a
current proceeds toward a positive electrode, an upright
inflection is seen on the EKG tracing.
Lead II
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Lead II is used alone quite frequently. Normal rhythms
present with a prominant P wave and a tall QRS.
The negative electrode is connected to the RIGHT ARM.
The positive electrode is connected to the LEFT LEG.
The axis is +60 degrees.
In all the limb leads, the electrodes may be positioned
close to the torso. For convenience, they are often placed
at the shoulders and hips.
Lead III
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Lead III is the last of the three standard limb leads.
The negative electrode is connected to the LEFT ARM.
The positive electrode is connected to the LEFT LEG.
The axis is 120 degrees.
Cardiac Vector
Through the Cardiac
Cycle As Seen By
Leads I, II and III
Cardiac Vector
Through the Cardiac
Cycle As Seen By
Leads I, II and III
Cardiac Vector
Through the Cardiac
Cycle As Seen By
Leads I, II and III
Cardiac Vector
Through the Cardiac
Cycle As Seen By Leads
I, II and III
Unipolar Measurements:
Wilson Central Terminal
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 Three additional leads are used for frontal plane measurements.
 These are the measurements at the specific electrode, with respect to
a reference electrode
 One commonly used reference electrode is the Wilson Central
Terminal, obtained through a resistive network, combining limb
electrodes
 The new set of leads obtained by combining the standard limb
electrodes to the Wilson terminal form the augmented leads
 These leads provide additional vector views of cardiac
depolarization in the frontal plane. Unlike leads I, II, III, the
augmented leads utilize WCT, a central negative terminal. This
virtual "electrode" is calculated by the EKG computer to measure
vectors originating roughly at the center of the heart.
 Note that the voltage at Wilson’s terminal is zero (why?)
Wilson’s Central Terminal
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Augmented Leads:
aVR
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Augmented Lead (RIGHT) avR
The negative electrode is the central terminal.
The positive electrode is connected to the RIGHT ARM.
The axis is -150 degrees.
Augmented Leads
aVL
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Augmented Lead (LEFT) avL
The negative electrode is the central terminal.
The positive electrode is connected to the LEFT ARM.
The axis is -30 degrees.
Augmented Leads
aVF
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Augmented Lead (FEET) avF
The negative electrode is the central termininal.
The positive electrode is connected to the LEFT LEG.
The axis is +90 degrees.
All Frontal Leads
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Frontal Leads
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Transversal Leads
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 Additional set of six leads, placed on the chest, also known as the
precordial leads. These too are unipolar, that is they measure the
potential with respect to WCT.
Summary
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 Of the 12 leads, the first six are derived from the same three measurement points.
Therefore, any 2 of these 6 leads include the same information as the other four.
 Over 90% of the heart's electric activity can be explained with the dipole source
model (Geselowitz, 1964). To evaluate this dipole, it is sufficient to measure its
three independent components. In principle, two of the limb leads (I, II, III) could
reflect the frontal plane components, whereas one precordial lead could be chosen
for the anterior-posterior component. The combination should be sufficient to
describe completely the electric heart vector.
 To the extent that the cardiac source can be described as a dipole, the 12-lead ECG
system could be thought to have three independent leads and nine redundant leads.
 However, in fact, the precordial leads detect also nondipolar components, which
have diagnostic significance because they are located close to the frontal part of the
heart. Therefore, the 12-lead ECG system has eight truly independent and four
redundant leads.
 The main reason for recording all 12 leads is that it enhances pattern recognition.
This combination of leads gives the clinician an opportunity to compare the
projections of the resultant vectors in two orthogonal planes and at different angles.
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References
PBS&D – Fall 2004 – Polikar
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 Bioelectromagnetism, Principles and Applications of Bioelectric and
Biomagnetic Fields, J. Malmivuo and R. Plonsey,
http://butler.cc.tut.fi/~malmivuo/bem/bembook/
 Univ. of Maryland, Emergence Medical Interest Group,
http://davidge2.umaryland.edu/~emig/ekgtu03.html
 The Alan E. Lindsay ECG Learning Center,
http://medstat.med.utah.edu/kw/ecg/index.html