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Description  |
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BACKGROUND OF THE INVENTION
1. Field of the Invention
The present invention relates to medical instruments and the field of
cardiac electrophysiology, and more particularly to the localization of
foci of abnormal cardiac activation by comparative analysis of body
surface potential distributions during cardiac pacing.
2. Description of the Related Art
The contraction of the human heart is triggered by an electrical process
known as an "action potential" which depolarizes the transmembrane
potential of the myocardial cells. This depolarization process is
automatic (i.e. an isolated cardiac cell can show repeated action
potentials) and also, it propagates from one cell to the neighboring
cells. In the normal heart, activation originates from the cells having
the fastest ation potential frequency which are located in the sino-atrial
(SA) node. The activation propagates from the SA node to the rest of the
atria, and then to the ventricles through the atrioventricular (AV) node,
which slows down propagation so as to permit the flow of blood from the
atria to the ventricles, and then through the His bundle and the Purkinje
conduction system which synchronizes the ventricular activation.
Congenital heart diseases or complications following coronary artery
disease can produce an abnormal increase of the heart rate known as
tachycardia which can be potentially lethal. In patients with the
Wolff-Parkinson-White (WPW) syndrome (a congenital disease), an additional
conduction pathway joins the atria and the ventricles and this accessory
AV pathway can either be responsible for the continuous activation of the
ventricles during atrial tachyarrhythmias, or create a reentrant circuit
in which activation propagates repeatedly through the ventricles, the
accessory AV pathway, the atria, the AV node and the ventricles again. In
patients with idiopathic ventricular tachycardia or in patients with
ventricular tachycardia (VT) resulting from myocardial infarction, the
abnormal activation originates during VT from a circumscribed region of
the ventricles with abnormal automaticity and/or propagation properties.
These disorders of the heart rhythm may be cured by the catheter ablation
of the arrhythmogenic sites, either the accessory AV pathways or the sites
of origin of VT. See: W. M. Jackman et al., "Catheter ablation of
accessory atrioventricular pathways, Wolff-Parkinson-White syndrome, by
radiofrequency current", New Engl J Med 324:1605, 1991; L. S. Klein et
al., "Radiofrequency catheter ablation of ventricular tachycardia in
patients without structural heart disease", Circulation 85:1666, 1992.
Catheter ablation consists of inserting a catheter percutaneously through
veins or arteries inside the heart cavities. The tip of the catheter is
placed near the arrhythmogenic site. Electromagnetic energy is then
delivered to the myocardium by electrodes or antennas located at the
catheter tip. Electromagnetic energy can be used within a wide frequency
spectrum ranging from DC current to radiofrequency current, microwave and
laser light. The effects of this localized energy delivery is to destroy
the arrhythmogenic site and to create a small permanent lesion.
One of the problems with the catheter ablation of arrhythmogenic sites is
the duration of the procedure. This procedure is long because
cardiologists rely on electrograms recorded with electrodes located near
the catheter tip to guide the positioning of the catheter within
millimeters of the arrhythmogenic site. On these electrograms, the timing
of the local activation deflexion or the presence of accessory pathway
potentials can only indicate if the catheter tip is near or far from the
arrhythmogenic site, and if it is far, it does not indicate in which
direction to move the catheter.
Information about the location of the arrhythmogenic site can be obtained
from body surface potential maps (BSPM). As ventricular activation
progresses away from the accessory AV pathway or from the VT site of
origin, the activation currents generate electrical potentials that can be
measured over the torso surface by a large number of electrodes. For WPW
patients, Benson et al. (Benson et al., "Localization of the site of
ventricular preexcitation with body surface potential maps in patients
with the Wolff-Parkinson-White syndrome", Circulation, 65:1259, 1982)
correlated the patterns of BSPM recorded during the preexcitation of the
ventricles through the accessory AV pathway (delta wave) with the
preexcitation sites determined by electrophysiologic studies or surgical
ablations and they concluded that at least seven preexcitation sites could
be predicted by analysis of the BSPM patterns. Similar patterns were
reported by Nadeau et al. (Nadeau et al. "Localization of preexcitation
sites in the Wolff-Parkinson-White syndrome by body surface potential
mapping and a single moving dipole representation". In
Electrocardiographic body surface potential mapping Eds R. T. van Dam, A.
van Oosterom, Martinus Nijhoff, pp: 95-98, 1986) in patients who underwent
arrhythmia surgery and/or an electrophysiologic study. The latter also
noted the progressive changes in the morphology of the BSPM recorded
during the delta wave in patients with adjacent preexcitation sites, thus
reflecting the continuous distribution of possible accessory AV pathways
around the AV ring with the position of the minimum and of negative
potentials on the BSPM identifying the pathway location: prominent
negativity on the right side of the anterior torso correspond to patients
with preexcitation sites located in the right ventricle; a minimum on the
back correspond to sites in the left ventricle; negativity over the entire
lower torso correspond to posteroseptal sites; otherwise, positivity over
the entire lower torso correspond to anterior sites. Similarly, for the
localization of sites of origin of VT, Sippens-Groenewegen et al.
(Sippens-Groenewegen et al., "Body surface mapping of ectopic left and
right ventricular activation. QRS spectrum in patients without structural
heart disease", Circulation, 82:879, 1990) reported BSPM patterns obtained
during ventricular pacing at known sites and which can be used to estimate
the site of origin of ectopic activity.
Another approach to the localization of abnormal cardiac activation which
uses electrocardiographic potentials consists of comparing the standard
twelve-lead electrocardiogram (ECG) during ventricular pacing at different
sites, with the ECG recorded during abnormal ventricular activation
(pacing consists of initiating the activation process of the ventricles by
applying a small current pulse between the electrodes of a catheter
located inside the ventricles). This "pace-mapping" approach relies on the
visual analysis of twelve time-varying signals. It can confirm that the
pacing catheter is located over the focus of abnormal activation when the
paced ECG and the abnormal ECG are identical (because the cardiac
activation that generates these two ECGs are localized at the same site).
However, it gives only limited information about which direction to move
the catheter toward the focus when the two ECG are not identical. See:
Josephson et al., "Ventricular activation during ventricular endocardial
pacing. II. Role of pace mapping to localize origin of ventricular
tachycardia", Am J Cardiol 50:11, 1982.
The Patent literature also provides teachings which are of interest having
regards to the invention as described and claimed in the following, for
example, U.S. Pat. No. 4,974,598, John, Dec. 4, 1990, U.S. Pat. No.
5,083,565, Parins, Jan. 28, 1992, U.S. Pat. No. 5,069,215, Jadvar et al,
Dec. 3, 1991, U.S. Pat. No. 4,751,931, Briller et al, Jun. 21, 1988 and
U.S. Pat. No. 4,641,649, Walinsky et al, Feb. 10, 1987.
The teachings of the '598 patent relate to early detection of heart disease
with an EKG system which detects heart beats having P, Q, R, S, T and U
portions. A large number of electrodes (32 to 64) are placed on the torso
of the patient. Readings taken are subjected to statistical analysis and
compared with readings of a normal population.
In the '565 patent, an electrosurgical catheter includes a sensor for
sensing the polarization signals developed in the heart and for
transmitting the sensed signals to an external EKG monitor. It also
includes insulated tips to which an RF signal may be applied to destroy
selected cells.
A disposable esophageal electrode structure, as taught in the '215 patent,
includes a plurality of spaced apart conductive electrode members. Each
electrode is connected to a wire by which it is connected to external
electrical units.
In the '931 patent, surface electrodes are positioned on the surface of the
patient's body in the heart area of the patient. Surface ECG's acquired
are enhanced by filtering and then subjected to method steps for detecting
low level bioelectric signals.
The '649 patent teaches a method for selective ablation of cardiac tissues
by high frequency electromagnetic energy. A catheter, which is introduced
into a patient's heart chamber, is terminated by an antenna.
Depolarization signals are coupled by the antenna to an ECG monitor for
display. External electrodes also detect potentials which are displayed on
the monitor. Accordingly, the position of the antenna is adjusted to an
appropriate position for ablation procedures.
OBJECTIVES AND SUMMARY OF THE INVENTION
So as to decrease the duration of catheter ablation of arrhythmogenic
sites, we have invented a method and apparatus that gives useful
information about the location of the ablation catheter with respect to
the arrhythmogenic site. The present method and apparatus is called body
surface potential map (BSPM) pace-mapping. It constitutes a significant
improvement of two previously known techniques: body surface potential
mapping and pace-mapping. For WPW patients, the ease of interpretation of
the BSPM patterns and the progressive changes observed for adjacent
preexcitation sites constitute the basis of BSPM pace-mapping to guide the
catheter ablation of accessory AV pathways. The first step of this method
is to position the catheter at the preexcitation location predicted by the
BSPM recorded during the delta wave for a sinus rhythm beat. Then, the
ventricles are paced with this catheter and the BSPMs recorded during the
paced QRS are compared with the preexcited BSPM: this visual comparison
indicates if the pacing site is too anterior or posterior with respect to
the preexcitation site, and the catheter is moved accordingly. This
process is repeated until the preexcited and paced BSPM patterns are
identical, then ablation may be attempted.
The body surface potentials are measured with a large number (e.g. 24 to
128) of electrodes distributed over the front, sides and back of the
torso. The electric signals from the electrodes are amplified, filtered,
digitized and stored on a magnetic disk. During data acquisition, a
reference signal from one of the ECG leads is constantly displayed on a
terminal to allow the manual selection of a one second window containing
the beat to be analyzed.
The first step of the computerized BSPM analysis consists of the automatic
identification and correction of faulty leads. Thus, signals that are
saturated as well as signals contaminated by excessive electrical noise
are considered faulty and are replaced by interpolating the signals from
the nearest valid leads. Then, the onset of the QRS complex is
automatically detected. For each lead, the value of the potential at the
QRS onset is subtracted from all samples so as to correct any baseline
shift.
Data recorded during abnormal activation (reference beat) are aligned with
data recorded during cardiac pacing (paced beat) so as to maximize the
average value of the correlation coefficient between the reference and the
paced potential distributions during a preset time interval (typically 40
msec) following the beginning of the QRS complex. Reference and paced
BSPMs with color-coded isopotential contour lines are then shown side by
side on a video terminal for the time instant having the highest
correlation coefficient during the preset time interval. Similar pair of
maps can be rapidly displayed for all successive time instants as in an
animated movie. As an aid for the visual comparison of the paced and
reference BSPMs, a paced map showing only the zero isopotential contour
line and the locations of the maximum and minimum potential values is
superimposed exactly over the reference map which has the same format but
a different color. So as to assess quantitatively the similitude between
the reference and paced BSPMs, the correlation coefficient between the
reference and paced body surface potential distributions is plotted for
all sampling instants during the preset time interval.
In accordance with a particular embodiment of the invention there is
provided a method of locating a position of interest in the heart of a
patient and in positioning a surgical instrument at this position,
comprising the steps of:
A. placing a plurality of electrodes on the surface of said patient in the
area of the torso of the patient;
B. obtaining readouts from said electrodes during a pre-excitation phase or
at the onset of an abnormal beat and forming therefrom a first body
surface potential map (BSPM);
C. estimating said position of interest from said first BSPM;
D. placing said surgical instrument at said estimated position;
E. pacing the heart of said patient with an electrical signal applied
through said surgical instrument;
F. obtaining readouts from said electrodes during said paced phase and
forming a further BSPM therefrom;
G. determining from said further BSPM, when compared with the first BSPM,
if the surgical instrument is in the correct position;
H. if the instrument is not in the correct position, moving the instrument
in a direction as indicated by the comparison of the further BSPM with the
first BSPM;
I. repeating steps E. to G. until the surgical instrument is at the
position of interest.
BRIEF DESCRIPTION OF THE DRAWINGS
The invention will be better understood by an examination of the following
description, together with the accompanying drawings, in which:
FIG. 1A is a diagram of the heart of a WPW patient;
FIG. 1B illustrates the ECG produced by the ventricular preexcitation;
FIG. 1C illustrates the catheter ablation of the accessory AV pathway;
FIG. 2 shows the electrode strips over the torso and the rectangular map
format of the BSPMs;
FIGS. 3A to 3C show successive steps of the SPM pace-mapping method;
FIG. 4 is a block diagram of the preferred embodiment of the data
acquisition system;
FIG. 5 is a block diagram of the data acquisition and pre-processing;
FIG. 6 is a block diagram of the beat alignment and the comparative
analysis of the paced and reference BSPM;
FIG. 7 shows variables used for the alignment of the paced and reference
QRS complexes; and
FIGS. 8A to 8D illustrate the comparative display of the reference and
paced BSPMs on a video terminal.
DETAILED DESCRIPTION OF THE INVENTION
1. Introduction and Method Overview
Some types of potentially lethal arrhythmias may be cured by the catheter
ablation of the arrhythmogenic sites. These sites can be an accessory AV
pathway in patients with the WPW syndrome, or the site of origin of VT in
patients with prior myocardial infarction or idiopathic VT. Catheter
ablation is a long procedure because it is guided by electrograms recorded
from the catheter which give limited information about the relative
distance between the catheter and the arrhythmogenic site. So as to
decrease the duration of catheter ablation procedure, we have invented a
method and apparatus that gives useful information about the location of
the ablation catheter with respect to the arrhythmogenic site. This
approach relies on the analysis of electrical potentials measured over the
entire torso surface and which are produced by cardiac activation in the
vicinity of the arrhythmogenic site. The present method and apparatus is
called: body surface potential map (BSPM) pace-mapping.
FIG. 1A illustrates the heart 1 of a WPW patient with an accessory pathway
(AP) 2 joining the atria 3 and the ventricles 4. During normal sinus
rhythm, activation propagates through this pathway and activates the
ventricles before normal activation from the AV node has had time to reach
the ventricles. This local "preexcitation" 5 of the ventricles generates
electrical potentials on the body surface that are known as the "delta
wave" 6 (FIG. 1B) and which precedes, on the electrocardiogram, the QRS
complex 7 which is generated by the activation of the ventricles. FIG. 1C
illustrates the catheter ablation of the accessory AV pathway by
radiofrequency currents (500 KHz) injected through the catheter tip 8. The
high current density near the catheter tip increases the myocardial
temperature and creates a small lesion that destroys the accessory
pathway. For WPW patients, BSPM pace-mapping relies on the potential
distributions measured over the entire torso surface during the delta wave
and which are used as reference maps. For patients with ventricular
tachycardia BSPM recorded after the QRS onset are used as reference maps.
FIG. 2 illustrates a typical electrode arrangement for the recording of the
electrocardiographic potentials over the front, sides and back of the
torso. FIG. 2 also illustrates the rectangular format of the BSPMs: the
left part of the map corresponds to the anterior chest 9; the right part,
to the posterior chest 10; both sides of the map correspond to the right
mid-axillary line 11; the top, to the suprasternal notch 12; and the
bottom, to the waist 13. On the BSPMs, isopotential lines join points with
the same potential value, the zero potential line is identified by a
heavier line and the plus and minus signs identify the locations of the
potential maximum and minimum (see FIGS. 3A to 3C).
FIGS. 3A to 3C show examples of the application of the BSPM pace-mapping
method for a WPW patient with a right-sided accessory pathway 14. The
on-line analysis of the BSPM recorded during the delta wave at the
beginning of the investigation (FIG. 3A) indicated a right anterior
ventricular preexcitation site according to the criteria presented in the
Description of the Related Art: the potential minimum 15 is on the right
side of the torso and negativity does not extend to the lower torso 16.
The ablation catheter 17 was then positioned approximately at that site
and the ventricles were paced. BSPMs 18 recorded during the paced QRS
complex (FIG. 3B) are not identical to the preexcited BSPMs: the location
of the minimum 19 is lower than on the preexcited BSPMs and negativity 20
extends to the lower torso, whereas the lower torso 21 was positive on the
preexcited BSPM. According to same criteria, this first pacing site was
estimated to be not anterior enough and the ablation catheter was moved to
a more anterior site 22 (see FIG. 3C). For the BSPMs 23 recorded during
ventricular pacing at this second site (FIG. 3C), the locations of the
BSPM extrema and the BSPM morphology were visually identical to the
preexcited BSPM and the correlation coefficient was higher than for the
first pacing site (0.92 vs 0.88).
BSPM pace-mapping constitutes a significant improvement of two previously
known techniques: body surface potential mapping and pace-mapping.
Compared to the body surface potential mapping of the abnormal potential
distributions, BSPM pace-mapping: 1) provides additional information about
the location of the ablation catheter with respect to the focus of
abnormal activation; 2) is a self-correcting procedure that reduces the
importance of BSPM differences that are not specific to the location of
the focus of abnormal activation, such as those due to individual
differences in the size and shape of the torso or heart, for example, a
patient with a preexcited BSPM suggestive of a right lateral accessory
pathway and who was paced at that site showed a right anterior pattern on
the paced BSPMs, the pacing catheter was thus moved inferiorly and the
preexcitation site was finally localized in the posteroseptal region.
Also, compared to the standard pace-mapping technique which utilizes the
twelve lead ECG, BSPM-pace mapping: 1) provides much more information
about the spatial distribution of the body surface potentials than the
twelve lead ECG, specially in the back and on the right side of the torso;
2) significant electrocardiographi8c differences between adjacent pacing
sites are more easily perceived by comparing maps than twelve ECG
tracings. The following sections describe the apparatus necessary for the
comparison of the reference BSPM and the paced BSPM.
2. Data Acquisition and Pre-processing
The body surface potentials are measured with a large number (e.g. 24 to
128) of unipolar leads referenced to the Wilson Central Terminal (WCT).
The electrodes are located over the front, sides and back of the torso.
There should be at least 8 electrodes on the back. Preferably, the
electrodes are radiotransluscent so as to prevent interference on the
fluoroscopic images during the electrophysiologic study and the ablation
procedure. The electrodes can be mounted on vertical adhesive strips for
rapid positioning over the torso surface (FIG. 2).
FIG. 4 shows the block diagram of the preferred embodiment of the data
acquisition system. This figure also shows the stimulator 24 which is used
to deliver a short current pulse through electrodes located at the
extremity of a catheter inserted in the heart 25 of a patient. The
thoracic electrodes 26 described in the preceding paragraph are
electrically connected to a patient interface box 27. Inside this box,
each thoracic electrode is connected to a surge limiter device so as to
protect the amplifiers against any surge voltage (possibly due to a
defibrillator) and three signals from electrodes located on both arms and
the left leg are electrically summated so as to serve as the electrical
reference (the WCT). A patient cable 28 joins the patient interface box to
the data acquisition unit 29, transmitting the electrical signals from the
thoracic electrodes and the WCT. The potential difference between any
thoracic electrode and the WCT is amplified with an amplifier 30 having a
programmable gain (40.times. to 10000.times.), a programmable high-pass
cutoff frequency (0.05 Hz or DC) and a programmable low-pass cutoff
frequency (250, 500 or 1OOO Hz). Each amplifier is followed by a
sample-and-hold circuit 31 so that all channels are sampled
simultaneously. For each group of 16 channels, the output of the
sample-and-hold amplifier is connected to a multiplexer circuit 32. Then,
the output of the multiplexer is connected to a 12 bit analog-to-digital
(A/D) converter 33 with a conversion time shorter than 10 microsecond.
Sampling frequency is above or equal to 500 samples per second.
Amplification, sampling and conversion operations are coordinated by a
hardware controller 34. So as to minimize any leakage current to the
patient, the data acquisition unit is powered by a low-leakage power
supply and it is connected to the host computer by two optical fibers, one
(35) for transmitting the data to the computer and the other (36) for
transmitting commands (e.g. setting the amplifier gains or the sampling
frequency) to the controller. The optical fibers are connected at both
ends to optical fiber transceivers 37 which convert the data format from
parallel to serial, and transforms electrical signals to optical signals
and vice-versa. An interface card 38 connected to the internal BUS of the
host computer 39 handles the exchange of data between the data acquisition
unit and the host computer as well as the display of results on a color
video terminal 40. The host computer has a minimum of 5 Mb of memory and
70 Mb of mass storage space.
FIG. 5 shows a flow chart of the data acquisition and pre-processing steps.
During data acquisition, the program constantly displays a reference
signal from one of the ECG leads on a video terminal to allow the manual
selection of a one second window containing the beat to be analyzed. After
beat selection, the next step of the pre-processing phase consists of the
automatic identification of faulty leads. For each lead, the number of
time instants at which the absolute value of the potential exceeds a
preset percentage of the dynamic range is first computed (this preset
percentage is about 95%), if this number corresponds to a consecutive
duration of more than a preset duration (about 50 msec), then the
amplifier is considered to be saturated and the lead is considered faulty.
Also, for each lead, the signal is filtered with a numerical high-pass
filter with a cut-off frequency of about 50 Hz, if the total power of the
filtered signal (computed as the sum of the square of each sample of the
filtered signal) exceeds a preset threshold, then the lead is considered
faulty because it contains an excessive level of electrical noise.
Each of the faulty signals is replaced by linear interpolation using the
signals from the neighboring leads. For each valid lead within a preset
radius around the faulty lead (this radius is about twice the distance
between the electrodes), the potential is divided by the distance which
separates it from the faulty lead and summated. The sum is then divided by
the sum of the inverse of each of those distances, and assigned to the
faulty lead. This procedure is applied for all sampling instants.
The onset of the QRS complex is then automatically detected by using the
root-mean-square (RMS) signal computed from a subset of M leads (for each
sampling instant, the RMS value corresponds to the square root of the sum
of the square of the potential at each lead of the subset divided by the
number of leads M). Starting backwards from the time instant having the
largest RMS value within the one second analysis window, the first time
instant at which the slope of the RMS signal becomes negative while the
RMS potential is lower than a preset percentage of the maximum RMS value
(about 10%) is selected as the QRS onset.
For each lead, the value of the potential at the QRS onset is subtracted
from all samples so as to correct any baseline shift. After the correction
of faulty leads and baseline shift and the determination of the QRS onset,
the data within the one second analysis window are then stored on magnetic
disk.
3. Beat Alignment and Comparative Analysis of Paced BSPMs and Reference
BSPMs
Data recorded during abnormal activation (reference beat) are precisely
aligned with data recorded during cardiac pacing (paced beat) so as to
allow a meaningful comparison between BSPMs recorded at similar time
instants after the QRS onset. FIG. 6 is a flow chart of the beat alignment
and the comparative analysis steps of the paced and reference BSPM.
The paced QRS and the reference QRS are automatically aligned so as to
maximize the average value of the correlation coefficient between the
reference and the paced potential distributions during a preset time
interval (typically 40 msec) following the beginning of the QRS complex.
This average value of the correlation coefficient is given by:
##EQU1##
where N is the number of leads; Vr(I,J) is the potential at lead I and
time instant J for the reference beat (the time instant J is measured from
the beginning of the reference beat window); Vp(I,J) is the potential at
lead I and time instant J for the paced beat (the time instant J is
measured from the beginning of the paced beat window); Vr(J) is the
average potential for all N leads at time instant J for the reference
beat; Vp(J) is the average potential for all N leads at time instant J for
the paced beat; Jr 49 is the time instant of the beginning of the QRS
complex of the reference beat measured from the beginning of the reference
beat window; Jp 50 is the time instant of the beginning of the QRS complex
of the paced beat measured from the beginning of the paced beat window; Js
51 is the time shift between the paced beat and the reference beat; Jd 52
is the number of time instants following the QRS onset which are used to
compute the average value of the correlation coefficient, it corresponds
to about 40 msec; Jo 53 is the time instant of the beginning of the QRS
onset for both beats after a shift of the paced beat of Js time instants,
Jo is equal to=Js/2 (See FIG. 7). Thus, for each value of time shift Js
within the range -Jw<Js<+Jw 54, the average value of the correlation
coefficient is computed and the time shift corresponding to the maximum
value is used to shift the paced beat with respect to the reference beat.
So as to assess quantitatively the similitude between the reference and
paced BSPMs, the correlation coefficient between the reference and paced
body surface potential distributions is plotted for all sampling instants
during the preset time interval Jd (0<J<Jd) according to:
##EQU2##
For the time instant having the highest correlation coefficient, reference
51 and paced 52 BSPMs are shown side by side on a video terminal. Also
shown are the time course of the correlation coefficient 54 and the
superimposed RMS signals for the reference and paced beats 55 (FIG. 8).
For the time instant having the highest correlation coefficient, the RMS
potential difference between the reference and paced body surface
potentials measured on all leads is also computed and displayed. Similar
pair of maps can be rapidly displayed for all successive time instants as
in an animated movie. On the BSPMs, the torso surface is represented in a
rectangular format, the isopotential lines that join points with the same
potential value are obtained by cubic spline interpolation 56,
isopotential contour lines are color coded, the zero potential line is
identified by a heavier line 57, the plus 58 and minus 59 signs identify
the locations of the potential maximum and minimum respectively.
As an aid for the visual comparison of the paced and reference BSPMs, a
paced map showing only the zero isopotential contour line and the plus and
minus signs identifying the thoracic locations of the maximum and minimum
potential values can also be shown superimposed exactly over the reference
map which has the same format, but a different color.
Although a particular embodiment has been described, this was for the
purpose of illustrating, but not limiting, the invention. Various
modifications, which will come readily to the mind of one skilled in the
art, are within the scope of the invention as defined in the appended
claims.
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Description  |
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