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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Parameter Set Selection and Classification of Sleep Phases Tracing Biovital Data∗</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Reutlingen University</string-name>
          <email>natividad.martinez@reutlingen-university.de</email>
          <xref ref-type="aff" rid="aff2">2</xref>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Charité - Universitätsmedizin Berlin Center of Sleep Medicine Charitéplatz 1</institution>
          ,
          <addr-line>D-10117 Berlin</addr-line>
          ,
          <country country="DE">Germany</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>HTWG Konstanz Faculty of Computer Science Brauneggerstr.</institution>
          <addr-line>55, 78462 Konstanz (Germany) agnes.klein</addr-line>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>School of Informatics Alteburgstr.</institution>
          <addr-line>150, D-72762 Reutlingen</addr-line>
          ,
          <country country="DE">Germany</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>and Ralf Seepold</institution>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2016</year>
      </pub-date>
      <abstract>
        <p>To assess the quality of a person's sleep, it is essential to examine the sleep behaviour by identifying the several sleep stages, their durations and sleep cycles. The established and gold standard procedure for sleep stage scoring is overnight polysomnography (PSG) with the Rechtschaffen and Kales (R-K) method. Unfortunately, the conduct of PSG is timeconsuming and unfamiliar for the subjects and might have an impact of the recorded data. To avoid the disadvantages with PSG, it is important to make further investigations in low-cost home diagnostic systems. For this intention it is necessary to find suitable bio vital parameters for classifying sleep stages without any physical impairments at the same time.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>Due to the promising results in several publications
we want to analyse existing methods for sleep stage
classification based on the parameters body
movement, heartbeat and respiration. Our aim was to find
different behaviour patterns in the several sleep
stages. Therefore, the average values of 15
wholenight PSG recordings -obtained from the ‘DREAMS
Subjects Database’- where analysed in the light of
heartbeat, body movement and respiration with 10
different methods.</p>
    </sec>
    <sec id="sec-2">
      <title>Introduction / Motivation</title>
      <p>Sleep has effects on physical and mental health in a variety
of ways. Sleep deprivation induces significant reductions in
performance and regular poor sleep increases the risk of
serious medical conditions like obesity, heart disease and
diabetes [HHS, 2008]. In order to assess the quality of a person’s
sleep, it is vital to examine the sleep behaviour by identifying
the several sleep stages, their durations and sleep cycles. The
established and gold standard procedure for sleep stage
scoring is overnight polysomnography (PSG) according to the
Rechtschaffen and Kales (R-K) method. The used
technologies for PSG are eletroencephalogram (EEG),
electrooculogram (EOG), electromyogram (EMG), electrocardiogram
(ECG), blood oxygen saturation (SpO2), respiratory airflow
and respiratory effort [Anthony, 2008]. To perform PSG,
subjects have to sleep within a hospital or at a sleep center
with a minimum of 22 wire attachments to their bodies
[Karmakar, 2013].</p>
      <p>The conduct of PSG is time-consuming and unfamiliar for the
subjects and might not reflect the usual sleep behaviour of the
patient. Recorded data might be different compared to
sleeping at home. Therefore, low-cost home diagnostic systems
are likely to be advantageous. This presumes to find
non-invasive recording methods to avoid impacts on the recorded
data and to reduce the number of parameters. Achieving these
objectives involve to find suitable bio vital parameters which
allow inferences to the certain sleep phases. Our aim is to find
different behaviour patterns in the several sleep stages to
classify the sleep stages WAKE, REM, Light Sleep (LS) and
Deep Sleep (DS) as accurately as possible. However, by
choosing the parameters, the possibility to receive the related
data non-invasive must also be taken into account to
guarantee a natural sleep to the patients. For this, we analysed
already defined algorithms that calculate sleep stages with
fewer sensors than the R-K-Method needs. All of these
methods are based on the parameters heartbeat, respiration or body
movement, which have the potential to be recorded in a
noninvasive way.
2</p>
    </sec>
    <sec id="sec-3">
      <title>State of the Art</title>
      <p>In this chapter we name three scientific publications, which
had relevant content to our researches.</p>
      <p>One publication describes a non-invasive algorithm to
estimate sleep stages with only heartbeat and body movement
signals. They describe two main indices, that indicate the
condition of REM sleep and the sleep depth. In consideration
of these indices they developed two main algorithms to
calculate the sleep stages. In addition to several assumptions
about the characteristics of REM and NREM sleep, they take
into account to several statistics and heuristical examinations
about the sleep behaviour of different age groups, too. Thus,
for each age group of the subjects, they determined functions,
which obtain the incidence ratio and the standard deviation of
the extracted elements for each sleep stage. They classified
the subjects sleep stages in Wake, REM, NREM-1,
NREM2, NREM-3 and NREM-4 and reached an agreement ratio of
51.6% [Kurihara and Watanabe, 2012].</p>
      <p>In another scientific paper, an automatic sleep-wake stages
classifier based on signal ECG and ELM tools was
developed. They discovered that the use of heart rate variability
(HRV) produces good results in the sleep-wake-classification
because HRV changes during the stages of sleep [Hayet and
Slim 2012].</p>
      <p>In one study the depth and volume of respiratory effort was
analysed and quantified during nighttime sleep to differ
across the sleep stages. It emerged that the respiratory depth
is more irregular and the tidal volume is smaller during REM
sleep than during NREM sleep as seen in Figure 1. A set of
12 novel features were proposed which should reflect
respiratory depth and volume, respectively and can be an additional
support for classifying sleep stages. It has been shown that
adding the new features into their existing feature set
improved the results in classifying the stages WAKE, REM,
Light Sleep and Deep Sleep [Long et al., 2014].
3</p>
    </sec>
    <sec id="sec-4">
      <title>Proposed Approach</title>
      <p>Due to the findings and promising results in several
publications and in our previous studies [Klein et al., 2015] we want
to analyse existing methods for sleep stage classification
based on the following physical functions:
•
•
•</p>
      <sec id="sec-4-1">
        <title>Body Movement</title>
      </sec>
      <sec id="sec-4-2">
        <title>Respiration</title>
      </sec>
      <sec id="sec-4-3">
        <title>Heartbeat</title>
        <p>The aim of this project is to combine existing methods and
create a new algorithm which is able to evaluate sleep stages
based on these parameters. To verify the results we used 15
digital whole-night PSG recordings of healthy subjects from
(2)
(3)
(4)
the ‘DREAMS Subjects Database’ of University of MONS
and Université Libre de Bruxelles [Devuyst et al., 2011]. The
recordings are suitable for the verification because they are
annotated in sleep stages according to Rechtschaffen and
Kales criteria. In detail, we used ECG for the heartbeat
signals, EMG as substitute for body acitivity and both
abdominal (VAB) and thoracic (VTH) inductive
plethysmography for respiration signals. The 15 subjects (3 men) we
analysed are between 20 and 65 years old.
3.1</p>
        <sec id="sec-4-3-1">
          <title>Methods and Algorithms</title>
          <p>First of all, we analysed the existing R(k) and D(k) algorithms
presented in the paper ‘Sleep-Stage Decision Algorithm by
Using Heartbeat and Body-Movement Signals’ [Kurihara and
Watanabe, 2012]. Both algorithms were already explained in
greater detail in our prior studies [Klein et al., 2015]. The
R(k) algorithm (1), which indicates the condition of REM, is
based on the variations of the heart rate variability and relies
on the fact that heartbeat becomes more frequent and less
rhythmical during REM sleep.</p>
          <p>! " =</p>
          <p>$
%&amp;'$
0&amp;1 2&amp; |) *+',-$./- − ) *56'7$7/- |
(1)</p>
          <p>On the other hand the D(k) algorithm (2), indicates the
condition of the sleep depth and take the body movement signals
into account. In this process, D(k) considers the fact that
when sleep deepens body movement becomes smaller and
less frequent.</p>
          <p>8 "
= 9:;%
&lt;&gt;?@A</p>
          <p>=
&lt;B=CDEF'&lt;&gt;=?@A</p>
          <p>From the 12 novel features proposed in the publication
‘Analyzing respiratory effort amplitude for automated sleep
stage classification’ [Long et al., 2014] we picked 4
promising algorithms Tsdm, Psdm, Vbr and Vin (3 - 6) to analyse
respiratory effort and respiratory depth as an additional
parameter to estimate sleep stages.</p>
          <p>GHI. =
./I06J(LM,LO,…,LQ)</p>
          <p>STU(LM,LO,…,LQ)
VHI. =
./I06J(7M,7O,…,7Q)</p>
          <p>STU(7M,7O,…,7Q)</p>
          <p>Tsdm and Psdm consider the mean respiratory depth and its
variability at the same time in terms of inhalation (Psdm) and
exhalation (Tsdm). For both algorithms it is necessary to
calculate the median and interquartile range (IQR) of the peaks
(p) and troughs (t) of each recorded respiration cycle.</p>
          <p>Vbr and Vin are volume-based features and should reflect
the respiratory effort. ΩX*-means the kth breathing cycle and
Ω0*Jthe kth inhalation period.</p>
          <p>YX- =
\]^_M&gt;E Z[ ,
\]^_O&gt;E Z[ , … ,
\]^_&gt;`E Z[ (5)
Y0J =
\]^_aMQ Z[ ,
\]^_aOQ Z[ , … ,
\]^_a`Q Z[</p>
          <p>Furthermore, we analysed the following mean values:
The HRinterval (9) expresses the time between two beats which
is shown in Figure 2. The variability between two intervals
will be computed with HRvar (10).</p>
          <p>•
•
•
•</p>
        </sec>
      </sec>
      <sec id="sec-4-4">
        <title>Body movement (BM)</title>
        <p>Number of heartbeats (HB)
Heart rate interval (HRinterval)
Heart rate variability (HRvar)
)! bcdefgh9 = 1" b"=−01 !(d)b
)! ghf =
"−1 !(d)b−1 − !(d)b
b= 0
(6)
(7)
(8)
(9)
Every PSG recording was devided in 30 second intervals with
i0 = 30, i1 = 60, ... in = recordtime. The presented algorithms
and methods (1-10) were applied to each interval and ordered
in several lists. The reason for this approach is that the
recordings are evaluated according to Rechtschaffen and Kales
criteria in 30 second intervals, too. This permits a correct
assignment of our results and the estimated sleep stages from
the experts.</p>
        <p>One important characteristic of REM sleep is, that
heartbeat becomes more frequent and less rhythmical. If sleep
deepens, heart rate becomes less frequent and body
movement is concentrated before and after REM sleep. The
characteristics of NREM sleep we can examine are the facts, that
when sleep deepens from the wake stage, body movements
become smaller and less frequent and the deeper the sleep,
the less frequent the heart rate [Kurihara and Watanabe,
2012]. With the parameter respiration we expect the typically
respiration behaviours which are shown in Figure 1. During
the wake phase, the inhalation, exhalation and the respiration
volume are irregular. However, this pattern changes when
sleep deepens and the deeper the sleep, the more regular and
deeper the several breathing becomes. Finally, the respiration
behaves less rhythmical during REM phase but more regular
than in the wake phase.</p>
        <p>With the results we want to analyse the full extent of these
variations and how remarkable they are. Furthermore, with
this approach we are possibly able to determine which
algorithms are especially suitable to detect the variations between
the parameters and the sleep stages WAKE, REM, LS and
DS.</p>
        <p>No. Characteristicas of REM sleep</p>
        <p>Brainwaves similar to those shown in Non-REM 1 and
1 Wake stages</p>
        <p>The incidence ratios of delta wave and spindle wave
de2 crease</p>
        <p>The tension of anti-gravitiy muscles completely
disap3 pears
4 Rapid eye movement appears</p>
        <p>Heartbeat and respiration become more frequent and less
5 rhythmical, and the blood pressure becomes high</p>
        <p>With regard to adults, REM sleep occurs once every 90
6 to 100 minutes on average</p>
        <p>Body movement is concentrated before and after REM
7 sleep
Table 1: Characteristics of REM Sleep [Kurihara and Watanabe,
2012]
No. Characteristicas of Non-REM sleep</p>
        <p>The deeper the person sleeps, the more frequent the
1 incidence ratio of delta waves</p>
        <p>In the sleep stage of Non-REM2, spindle waves are
rec2 ognized</p>
        <p>When sleep deepens from the Wake stage, body
move3 ments become smaller and less frequent
4 The deeper the sleep, the less frequent the heart rate
Non-REM1 occasionally is found after Non-REM3,</p>
        <p>Non-REM4, or REM sleep stages with large body
move5 ment
Table 2: Characteristics of NREM Sleep [Kurihara and
Watanabe, 2012].
4</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>Results</title>
      <p>In this chapter we analyse the results of the used methods for
every calculated list and each 30-second interval which are
presented in the Tables 3-6. Our researches are particularly
interested in remarkable differences between the several
stages. In addition, the results were set in relation to the wake
phase for better comparison.
4.1</p>
      <sec id="sec-5-1">
        <title>Heartbeat and Body Movements</title>
        <p>The heartbeat signals were examined by HB, HRinterval, HRvar
and R(k) algorithms. BM represents the mean value of body
movement and D(k) considers the relationship between body
movement and heart rate signals.</p>
        <p>The number of heartbeats (HB) have their highest values
during the WAKE phase and are reduced in LS and DS
phases. On the other hand, the values in REM are slightly
increased. The heart rate intervals have their longest duration
in DS stage. Furthermore, the results of HRvar show, that the
heart rates have a high variability in WAKE and REM stage
and very rhythmical during LS. In general, the heartbeat
signals behaves in the several stages as expected. Especially the
heart rate variability has probably a great potential to
distinguish between the sleep phases.</p>
        <p>MEANS
WAKE
Light Sleep
Deep Sleep
REM
MEANS
WAKE
Light Sleep
Deep Sleep
REM
RELATION to
WAKE in %
Light Sleep -0.973 +6.406
Deep Sleep +22.485 +49.197
REM +29.414 +65.583
Table 5: Summary values of Tsdm and Psdm.
RELATION to
WAKE in %
Light Sleep -10.302 +6.111 -36.462
Deep Sleep -7.778 +8.302 -49.481
REM -6.603 +7.781 -32.937
Table 3: Summary results of HB in counts, HRinterval and HRvar in
Milliseconds.</p>
        <p>MEANS
WAKE
Light Sleep
Deep Sleep
REM
With Tsdm and Psdm the mean respiratory depth and its
variability were considered. Vbr and Vin are volume-based
algorithms and should reflect the respiratory effort.</p>
        <p>The mean values show that all respiration algorithms we have
tested, seem to be good additional methods to differentiate
between WAKE and REM phases. Unfortunately, LS and DS
have very similar values to the WAKE stage. Therefore, it is
not possible to distinguish between WAKE, LS and DS with
the mean values alone.
5</p>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>Conclusions and Future Work</title>
      <p>The preliminary results of this project show that body
movement, heartbeat and respiration are potentially suitable bio
vital parameters to identify the sleep phases WAKE, REM, LS
and DS without the usage of PSG. The findings of this project
are intended to contribute later researches with the aim to
create an algorithm, which is able to classify the sleep phases
with only these three parameters automatically.</p>
      <p>In the future, we will develop an appropriate sensor array
system with pressure sensitive sensors, which will be placed
under a mattress to record the data non-invasive to the patient.
For the later classification, instruments of machine learning
and data mining, like regression analysis, will be used.</p>
    </sec>
  </body>
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