(Circulation. 1997;96:4143-4145.)
© 1997 American Heart Association, Inc.
Articles |
From the Centro Ricerche Cardiovascolari, CNR, L.I.T.A. Vialba, Medicina Interna II, Ospedale L. Sacco, Università degli Studi di Milano (A.M., M.P., R.F., S.G., D.L., N.M.); the Dipartimento di Bioingegneria, Politecnico di Milano (S.C.); and the Dipartimento di Medicina Interna, Università degli Studi di Genova (G.S.M.).
Correspondence to Prof Alberto Malliani, Università di Milano, Ospedale L. Sacco, Medicina Interna II, Via G.B. Grassi 74, 20157 Milano, Italy. E-mail albertom{at}fisiopat.sacco.unimi.it
| Abstract |
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Methods and Results We considered 10 spectral variables
extracted from short segments (200 to 500 cardiac cycles) of 350 ECG
tracings recorded in normal subjects in both supine and upright
positions (700 patterns). The tracings were first ordered consecutively
and subsequently assigned alternatively to a training or to a test set
(each consisting of 175 cases, providing 350 patterns considered to be
independent). A forecasting linear method estimated a normalized
activation index (ranging from -1 for supine to +1 for upright) that
concentrated the information derived from spectral variables and
that identified, in the test set, individual by individual,
84% of
corresponding body postures.
Conclusions The combined use of spectral methodology and forecasting analysis has revealed an information content embedded, per se, in a short series of RR intervals capable of recognizing, individual by individual, two different autonomic profiles related to posture.
Key Words: electrocardiography nervous system circulation heart rate
| Introduction |
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However, power spectrum variables are characterized by large intersubject and intrasubject variations6 probably reflecting the dynamics of physiological control mechanisms over time, even during steady-state conditions.2,6,7 Therefore, previous studies have addressed only the differences between given data sets. The aim of this study was instead to recognize, individual by individual and independently from each other, the spectral profiles corresponding to two easily reproducible physiological conditions such as supine or upright posture.
| Methods |
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Autoregressive Spectrum Analysis
Autoregressive spectrum analysis of the variability of a
time series of
200 to 500 RR intervals can extract, as already
described,1,2,6,7 the following 10 variables:
RR interval, total power (or variance), LF and HF components in
absolute units (ms2), the very-low-frequency
component (<0.03 Hz), and the center frequencies of LF and HF. In
addition, the LF/HF ratio and LF and HF in nu can be
calculated.1,2,6,7 In all cases, the respiratory
frequency was >0.15 Hz.8
Forecasting Analysis
To test the possibility of predicting the posture (either
supine or upright) of the subjects, we used 50% of the data (training
set) to calculate the mathematical forecasting model that was
subsequently validated in the remaining 50% of the data (test
set).
Individual data were ordered consecutively in their historical sequence, and subsequently, odd and even rank positions were assigned to the training or test set, respectively. In this way, this study does not suffer from seasonal effect and the sets are well matched for sex, age, and active or passive upright posture.
Training and test sets each held 350 patterns characterized by 10 power spectrum variables belonging to 175 subjects studied in both the supine and upright positions. The features related to both postures were considered to be independent.
We used the method of Madansky9 to describe the
changes induced in each variable by two different postures (as
targets, coded +1 for the upright and -1 for the supine posture). This
approach was preferred to standard linear methods because it does not
require a gaussian distribution of variables (and, in fact,
variables such as variance, LF, and HF have a skewed distribution).
The linear coefficients of each variable (ie, the weights) were
used to calculate, for each pattern, an AI (that, for graphical
purposes, was normalized from -1 for supine to +1 for upright posture)
as follows:
![]() |
A stable forecasting should correctly attribute more than half of the unknown cases, and the recognition rates of both supine and upright patterns should be almost equal.
| Results |
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During the training set, the algorithm had to match the target, ie, the posture, which was classified by the experimenter, with the information that could be extracted from the interaction of the variables of interest. A pattern was correctly discriminated when target and AI signs were identical. During the test set, as well, a negative value of the AI was intended to recognize the supine and a positive value the upright position.
Such a blind forecasting on the test set was capable of correctly assigning 83.4% (146 of 175) of features to the supine group and 86.3% (151 of 175) to the upright group when 10 variables were evaluated simultaneously.
To identify the best subset of variables, all the possible
combinations using from 2 to 10 variables were calculated for both
sets, and the best results are reported in the
Table
.
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Three variables (RR, LFnu, and HFnu) were found to hold
almost all the information content and could recognize 294 of 350
(84.0%) patterns overall, with a similarly good performance in
both supine and upright groups. This is illustrated by Fig 2
, evidencing the AI of each individual
feature belonging to either the training or test set. In this case, the
weights of the variables were
RR=-9.4x10-6,
LFnu=7.4x10-5, and
HFnu=-7.0x10-5, with a
threshold=4.5x10-3. When one of these three
variables was not considered, the forecasting provided
inconsistent results. On the other hand, other combinations
required at least four variables to furnish good discriminations
and recognitionsin some cases, however, with more unbalanced results
(see Table
). In particular, adding the variance to RR, LFnu, and HFnu
did not improve the recognition. In this case the weights of the
variables were RR=-1.1x10-5,
LFnu=7.2x10-5,
HFnu=-7.5x10-5, and
variance=2.0x10-7, with a
threshold=5.1x10-3. The use of the absolute
values of LF and HF caused an unbalanced forecasting, impairing the
recognition of supine group patterns (Table
). Finally, when further
information was added to the model based on 10 variables, for
example the age of the subjects, the recognition power of AI in the
test set was slightly increased to 84.3% in the supine group and to
87.6% in the upright group.
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| Discussion |
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Supine and upright postures, as an example of easily reproducible physiological conditions, engender distinct levels of sympathetic and vagal activity and hence of sympathovagal balance. Small studies clearly indicated that indices obtained from spectral analysis of RR interval variability can be used to infer the changes in autonomic balance produced by progressive tilt3,4 or graded changes in arterial pressure.5
The large distribution of spectral variables, however, has allowed the description of differences only between conditions or various populations. The present study demonstrates that by concentrating all the information derived from spectral analysis in a single index, obtained with a forecasting method, an individual recognition can be attempted. This accomplishment was allowed by the progressive development of a large data set, as required by the mathematical procedures involved.
In addition to the RR interval, the most powerful variables for both discrimination and recognition rates seem to be LFnu and HFnu. Because these variables appear to be the most sensitive markers of sympathetic and vagal modulations, respectively,17,10 this study confirms their value on an individual basis as well. Admittedly, our data refer to two well-defined physiological conditions, in one of which, the upright posture, there is a clear release from baroreceptor restraint of sympathetic activity with its LF rhythmicity, together with vagal withdrawal.11 It remains to be investigated whether this or similar approaches might be appropriate to explore the continuum of cardiovascular pathophysiology.
| Selected Abbreviations and Acronyms |
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Received August 28, 1997; revision received September 23, 1997; accepted October 13, 1997.
| References |
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