Abstract:
The paper presents the main principles for obtaining enhanced resolution in
standard ECG records, constructing of high-resolution vectorcardiogram and
determining of activities of particular segments of the cardiac muscle.
Standardized electric activities of the ventricles and septum in healthy people
are given. Electric activities of particular fragments of the cardiac muscle
were measured by the HRVEC method for a group of healthy subjects and for people
subjected to SPECT or coronarographic examination.
Introduction
In view of the high rate of ischaemia disease and the immanent danger of fatal
cardiac arrest, early diagnosis and identification of patients requiring
coronarography and/or surgical treatment is of great importance. As has been
established the standard electrocardiogram is sometimes of dubious diagnostic
worth. Literature provides descriptions of many computer methods for enhancement
of resolution of various signals which thus give more information on the object
of the study. Such methods are most often based on Fourier transformation,
convolution and deconvolution techniques, filtration, etc. [1] One of such
programs, based on the method of convolution and deconvolution, called RKU was
written by us [2].
Methods and Results
This program was applied for analysis of electrocardiographic signals. The
results were curves similar to standard ECG records, however, of much increased
resolution of the QRS complex [3]. In order to facilitate interpretation of
these high-resolution ECG signals we applied the well known method of
vectorcardiography [4].The high-resolution vectorcardiogram (HRVEC) proposed in
this work combines the records from particular electrodes, each of computer
enhanced resolution [5]. The spatial vector loops are shown in three mutually
perpendicular planes: the transverse, sagittal and frontal planes. The curve
corresponds to the motion of the end of the transient vector of depolarization
of the intraventicular septum as well as the left and right ventricle during a
single evolution of the cardiac muscle. Gradual expansion of the excited region
causes certain changes in the direction and transient resultant vectors of
depolarization of ventricles. High-resolution vectorcardiogram allows viewing of
the region of the depolarization wave propagation during the cardiac muscle
evolution, so provides an opportunity to detect even relatively small changes in
electric activity of particular segments of the cardiac muscle caused by
ischaemia, hypertrophy and/or administered drugs. The amplitude of
high-resolution signals was normalised so that a single simulated peak of a
Gaussian curve of 20 ms in width and 1 mV amplitude had the same final amplitude
of 1 mV after processing. At the subsequent step, quantitative analysis of
activities of particular regions of the cardiac muscle was made. In order to
perform this analysis the left and right ventricle and septum were divided into
particular walls and segments to which specific directions in the orthogonal
Frank lead system (Table I) were ascribed. The activity of a given region of the
cardiac muscle, was calculated within the bulk angle of 600 about the
directional vector of this region (directional cosines of the inferior layer: 0,
1, 0), according to the following equation:
where: Akty- total electric activity of a given segment during a single
cardiac muscle evolution, cos(R, F) - cosine of the angle made by the direction
of the transient depolarization vector and the directional vector of a given
cardiac muscle segment, R- transient depolarization vector in 1mV, F-
directional vector of a given cardiac muscle segment (Table 1). The activity
defined as above is measured in mV2. The aim of the first series of measurements
was to establish criteria of a correct high-resolution vectorcardiogram on the
basis of standards of activity of particular cardiac muscle segments of healthy
people (Table 2). All those people were subjected to clinical, radiological and
echocar-diographic examinations which gave no indication of coronary artery
disease, systemic hypertension or any cardiac muscle defect. ECG of these people
gave a correct picture.
Cardiac muscle region |
F in the orthogonal Frank system XYZ |
||
anterior septum |
0 |
0 |
-1 |
anterior wall |
0.296 |
0.17 |
-0.94 |
lateral wall |
1 |
0 |
0 |
posterior wall |
-0.103 |
0.17 |
0.98 |
inferior wall |
0 |
1 |
0 |
left posterior branch |
0.35 |
0.869 |
0.35 |
basal anterior segment |
0.3 |
-0.707 |
-0.64 |
basal posterior segment |
-0.3 |
-0.707 |
0.64 |
Cardiac muscle segments |
Activity |
Standard deviation |
Confidence intervals |
anterior septum |
9.5 |
16.7 |
4.6 - 14.4 |
anterior wall |
8.3 |
10.1 |
5.3 - 11.2 |
lateral wall |
26.2 |
14.0 |
22.1 - 30.4 |
posterior wall |
16.4 |
11.4 |
13.0 - 19.7 |
inferior wall |
18.8 |
12.3 |
15.1 - 22.4 |
left posterior branch |
34.3 |
18.2 |
28.9 - 39.6 |
basal anterior segment |
5.7 |
7.1 |
3.6 - 7.8 |
basal posterior segment |
6.3 |
4.1 |
5.1 - 7.5 |
total activity |
61.10 |
25.5 |
53.7 - 68.6 |
HRVEC |
Coronary stenosis |
Normal |
Activity of the particu-lar fragment of cardiac muscle drop below < 50% of normal activity |
54 |
17 |
Normal activity of the particular fragment of cardiac muscle |
9 |
43 |
The specificity and sensitivity of the HRVEC method as well as the positive
predictive values (PPV) and negative predictive values (NPV), were determined. A
similarly good correlation was obtained between the results of SPECT examination
and the decrease in electric activity of particular fragments of the cardiac
muscle observed by the HRVEC method (Table 4).
HRVEC |
SPECT |
Normal |
Activity of the particular fragment of cardiac muscle drop below <50% of normal activity |
27 |
3 |
Normal activity of the particular fragment of cardiac muscle |
0 |
0 |
In the attempt at verifying the HRVEC method by the results of SPECT, the
indeterminate value of specificity and negative predictive value (NPV) of the
former are the consequence of a small number of subjects qualified as healthy by
the two latter methods.
Conclusions
Preliminary analysis of the sensitivity and specificity of hig-resolution
vectorcardiogram in IHD diagnostics has proved the method much promising in the
diagnostic of ischaemic disease.
References
[1] J. Max, " Methodes et techniques de traitement du signal et
applications aux mesures physiques", Masson, Paris 1981.
[2] A. Koper, R. Krzyminiewski, " Analysis of resonance excitations by
linear transformation technique theory", Acta Magnetica, 1985, II, 3.
[3] R. Krzyminiewski, "Computer enhancement of complex spectroscopic
spectra resolution", Mol.Phys.Reports, 1994, 6, 174.
[4] Ch.L. Levkov, "Orthogonal electrocardiogram derived from the limb and
chest electrodes of the conventional 12-lead system", Medical&Biological
Engineering&Computing, 1987, 25, 155.
[5] R. Krzyminiewski, M. Wierzchowiecki, K. Poprawski, St. Ożegowski, "The
advantages of numerical analysis of electrocardiographical recording in
diagnosis of the cardiac muscle infarction", Physica Medica XII, 1996, 3,
182.