<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Archiving and Interchange DTD v1.0 20120330//EN" "JATS-archivearticle1.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Thermal environment evaluation considering nap start time</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Miki Nakai</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Tomoyoshi Ashikaga</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Junichi Shimizu</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Keiki Takadama</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>DAIKIN INDUSTRES LTD</institution>
          ,
          <addr-line>1-13-1, Umeda Kita-ku, Ohsaka-shi, Osaka 530-001</addr-line>
          ,
          <country country="JP">Japan</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>The University of Electro-Communications</institution>
          ,
          <addr-line>1-5-1, Chofugaoka, Chofushi, Tokyo, 182-8585</addr-line>
          ,
          <country country="JP">Japan</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Good health is needed to live a productive and creative life, and restful sleep greatly contributes to maintaining good health. In recent years, some companies have begun allowing time for sleep during work hours as “power naps” to eliminate drowsiness and improve efficiency. In a study performed last year, we analyzed the effect that 30-minute daytime naps have on improving productivity in subjects by dividing the naps into the three stages of “before falling asleep,” “during sleep,” and “before waking” and evaluating the role of room temperature at each stage. As reported last year, increasing room temperature significantly shortened sleep laten-cy time for the stage of “before falling asleep,” whereas lowering room temperature after falling asleep resulted in subjects reaching Non-REM Sleep Stage 2 faster and maintaining it longer for the stage of “during sleep.” In this study, we evaluate naps taken at times of 10:30, 13:30, and 15:15 and report how the nap start time of day and room temperature for each nap time period affect sleep quality in naps. Although results showed that sleep latency and percentage of mid-awakenings differ depending on the time of day, appropriate room temperature control at all times of the day improves nap quality and the degree of sleepiness after waking.</p>
      </abstract>
      <kwd-group>
        <kwd>1 Naps</kwd>
        <kwd>Room temperature control</kwd>
        <kwd>Sleep quality</kwd>
        <kwd>Nap quality</kwd>
        <kwd>Sleepiness</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        • In recent years, sleep time for people in
Japan has shown a downward trend (NHK) with
more than 70% of Japanese men and women in
their twenties or older sleeping less than seven
hours per night on average. It is said that more
than 30% of the people between ages 20 to 59
experience “daytime drowsiness” three or more
times a week, which leads to a decline in
productivity [1]. For this reason, interest in sleep
quality has increased, and the importance of sleep
at night has been shown in examples that include
the relationship between sleep time and shooting
accuracy (performance) of basketball players and
the relationship with PVT test results. Ten men’s
basketball players at Stanford University were
given 10 hours of sleep each night for 40 days, and
this resulted in a significant improvement in free
throw success rate, sprint numbers, reaction time
speed, etc. [2]. Preceding studies in the field of
naps have focused on areas relating to
environmental evaluations that promote naps
including the time for taking a nap [
        <xref ref-type="bibr" rid="ref1 ref2 ref3 ref4">3,4,5,6,7</xref>
        ],
bright light [
        <xref ref-type="bibr" rid="ref5">8</xref>
        ], sound [
        <xref ref-type="bibr" rid="ref6">9</xref>
        ], and posture for taking
a nap [
        <xref ref-type="bibr" rid="ref7">10</xref>
        ]. Furthermore, our research team
investigated the effect of environmental
temperature on the quality of naps (Figure 1 [1] )
and reported that Non-REM Sleep Stage 2 can be
reached and maintained quickly by lowering the
room temperature to a neutral temperature after
falling asleep. Likewise, raising room temperature
above the neutral temperature before waking up
results in a shallower sleep depth upon waking.
However, investigation is lacking in nap quality
by time when the nap is taken or differences due
to individual characteristics. Nap quality can be
evaluated by the quality of falling asleep and
waking, amount of sleep time, sleep interruptions,
and similar factors. Therefore, in this study, we
evaluated the time when a nap was taken and nap
quality and also reported the results of analyzing
the optimal thermal environment for the time
when a nap is taken.
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. Experiment Environment</title>
    </sec>
    <sec id="sec-3">
      <title>2.1. Nap room (Figure 2)</title>
      <p>A nap room of H2315×W (2400+385)
×D1200mm was created, and a bed was installed
inside of it. During the experiment, the entrance
sliding door was closed, and sound insulation and
light shielding were ensured during testing.
Humidity inside the experimental nap room was
kept within a range of 40-60%, and Daikin
Industries’ multi-split cassette air conditioner for
small spaces “cocotas” was used to control the
temperature of the nap room.
measured using an OMRON environmental sensor
(2JCIE-BU01).</p>
    </sec>
    <sec id="sec-4">
      <title>3. Experimental Method</title>
    </sec>
    <sec id="sec-5">
      <title>3.1. Experimental conditions</title>
      <p>A total of 221 cases were conducted from
December 2019 to March 2022, targeting seven
male employees and five female employees in
their 20s who wore a uniform amount of clothing
during the experiment. In the experiment, rest
periods (10 mins, 5 mins) were set before taking a
nap and immediately after waking up; nap
duration was 30 minutes; and the nap start time
was 10:30, 13:30, or 15:15. In addition, a
questionnaire regarding sleepiness (The Stanford
Sleepiness Scale, Table 1) was conducted before
taking a nap as well as 1 hour and 3 hours after
waking up.
2.2.</p>
    </sec>
    <sec id="sec-6">
      <title>Experiment Equipment</title>
      <p>EEG measurements during sleep were performed
using a SleepWell electroencephalograph (Sleepscope).
Also, the room temperature of the nap room was
3.2.</p>
    </sec>
    <sec id="sec-7">
      <title>Experiment description</title>
      <p>Room temperature in the nap room is adjusted
during the 30-minute nap as shown in A and B in
Figure 3 according to the three stages of “before
falling asleep,” “during sleep,” and “before
waking.” Changes in subject's sleep depth and
productivity before and after the nap were
measured and evaluated according to room
temperature, as shown in 4.3. Room temperature
environments with the following conditions were
applied during the nap.</p>
      <p>A: With room temperature control</p>
      <p>Temperature is set slightly higher before
falling asleep; is lowered after falling
asleep; and raised (or kept lower) before
waking.</p>
      <p>B: Without room temperature control</p>
      <p>A neutral temperature or higher than
temperature is maintained from before
falling asleep to before waking.</p>
    </sec>
    <sec id="sec-8">
      <title>4. Evaluation method</title>
      <p>
        Table 2 shows a comparative evaluation
performed for three items. In the evaluation of 5.1,
➀ sleep latency time was evaluated. In the
evaluation of 5.2 (1), the length of Non-REM
Sleep Stage 2 was evaluated. Generally, in normal
sleep, slow wave sleep is reached about 30
minutes after falling asleep [
        <xref ref-type="bibr" rid="ref9">12</xref>
        ], and it has been
reported that sleep inertia is enhanced when slow
wave sleep is included during daytime naps. In
addition, since slow wave sleep is non-REM
sleep3,4, up to non-REM sleep2 is considered
good for napping [
        <xref ref-type="bibr" rid="ref10 ref11">13, 14</xref>
        ]. In the evaluation of 5.2
(2) and (3), the percentage of sleep awakenings
was evaluated. In the evaluation of 5.3(1) and (2)
drowsiness was evaluated.
      </p>
    </sec>
    <sec id="sec-9">
      <title>5. Experiment Results and Discussion</title>
    </sec>
    <sec id="sec-10">
      <title>5.1. Before falling asleep</title>
      <p>Figure 4 shows the results of sleep latency time
for each room temperature before falling asleep
with respect to the start time of taking a nap. In
order to create a thermal environment that
promotes the rapid onset of sleep at all times of
the day, experiments were conducted based on the
hypothesis that setting the room temperature
slightly warmer before falling asleep “would
increase the relaxation effect and make it easier to
fall asleep.'' The average sleep latency time at
each start time was 6.7±5.6 mins at 10:30, 6.1±5.3
mins at 13:30, and 4.9±3.8 mins at 15:15 and
tended to take longer. In addition, at each start
time, the room temperature before falling asleep
was set in three ways: low (25°C or less), neutral
(26°C), and high (27°C), and the time required to
fall asleep in each temperature environment was
measured, and we compared the time required to
fall asleep in each temperature environment. The
Mann–Whitney U test was used as the test method.
As a result, it was found that setting the
temperature at 10:30 to a relatively high 27°C
shortened the sleep latency time significantly. At
13:30, there was no significant difference between
26°C and 27°C, but it was found that latency to
fall asleep was significantly shorter at 27°C than
at 25°C, which is lower. On the other hand, at
15:15, no reduction in sleep latency time was
observed at any room temperature. This is
generally said to be due to the influence of the
circadian rhythm, and it is thought that it
corresponds to the time period when it is easy to
feel drowsiness. For this reason, sleep latency
time tends to be short, and it is difficult to be
affected by the room temperature.</p>
      <p>Consequently, setting the room temperature to
a relatively high 27°C was found to significantly
shorten sleep latency time during time periods
when it is difficult to feel drowsiness.
5.2.</p>
    </sec>
    <sec id="sec-11">
      <title>During sleep</title>
      <p>(1) Nap start time and length of Non-REM
Sleep Stage 2 (N2)</p>
      <p>Figure 5 shows the results of calculating the
percentage of cases of N2 time in each test by
classifying the N2 time during the nap into 0-10
mins, 10-20 mins, and 20-30 mins for each nap
start time. Fisher's exact test was used to test the
two categories of 20 minutes or more and less than
20 minutes, and it was discovered that there were
many cases where the N2 time was significantly
longer in the 15:15 test compared to the 10:30 test.
Since N2 time occurred in many cases during the
time period when people generally feel sleepy
during the day, it is thought that the number of
cases in which N2 time became longer increased
due to the influence of circadian rhythm.
(2) Nap start time and percentage of
midawakenings</p>
      <p>Our 2022 research shows that lowering room
temperature after falling asleep accelerates the
onset of N2 and helps maintain N2 time. In this
study, we evaluated the mid-onset awakenings,
which are thought to affect the quality of sleep
(Figure 6). First, we examined cases when the
room temperature was not lowered after falling
asleep (B: Keep). As a result, in the 10:30 and
13:30 experiments, more than 10% of the subjects
woke up during the night, suggesting a greater
likelihood to wake up in the middle of the night
than in the 15:15 experiment. Next, cases in
which room temperature was not lowered after
falling asleep were compared with cases in which
the room temperature was lowered. The Mann–
Whitney U test was used as the test method. It was
found that the percentage of midday sleep
awakenings decreased at all starting times of
10:30, 13:30, and 15:15. Therefore, lowering the
room temperature after falling asleep is an
effective way to reduce the percentage of sleep
awakenings.</p>
      <p>For nighttime sleep, it has been reported that
when the environmental temperature inside
bedding was kept high during sleep, such as with
an electric blanket, sleep interruptions increased,
resulting in unstable sleep [15]. It is said that when
heat dissipation is hindered, the core body
temperature does not drop sufficiently, resulting
in poor sleep quality, but the results of this study
suggested that lowering the room temperature
promoted heat dissipation and stabilized sleep.
(3) Thermal environment reduces
midawakenings</p>
      <p>Next, we evaluated the extent to which room
temperature could be lowered to significantly
reduce the percentage of nocturnal awakenings
(Figure 7). Compared to before falling asleep,
cases in which the temperature was lowered by
0.5 to 2°C after falling asleep and cases in which
temperature was maintained or increased were
compared. The Mann–Whitney U test was used as
test method. We found that lowering the
temperature by 1°C significantly decreased the
percentage of nocturnal awakenings compared to
maintaining or increasing temperature and was
effective in maintaining stable sleep.</p>
      <p>Amount</p>
    </sec>
    <sec id="sec-12">
      <title>Effectiveness after waking</title>
      <p>(1) Time of nap start and degree of
improvement in sleepiness</p>
      <p>For each start time of taking a nap, sleepiness
after waking compared to before the nap was
evaluated for 1 hour and 3 hours after waking
(Figure 8). Comparisons were made between
cases in which the room temperature was lowered
(A-1, A-2: Lower) and maintained (B: Keep) after
falling asleep. The Mann-Whitney U test was used.
The results showed that lowering the room
temperature after falling asleep significantly
improved sleepiness at 1 and 3 hours after waking
for the 10:30 nap. In the 15:15 nap, room
temperature control significantly improved
sleepiness only 3 hours after waking. On the other
hand, a nap at 13:30 showed no difference due to
room temperature control.</p>
      <p>The results after 3 hours of waking showed that
taking a nap at 10:30 did not worsen sleepiness
around 14:00, which is generally considered to be
the time when people feel sleepy due to circadian
rhythms, but maintained the improvement,
suggesting the possibility that taking a nap in the
morning is effective.
(2) Thermal environment and drowsiness</p>
      <p>
        Regarding drowsiness after waking up, we
reported that our research team found that when
the room temperature was lowered after falling
asleep and during sleep, drowsiness was more
resolved 1 hour and 3 hours after waking up
compared to when the room temperature was not
lowered [
        <xref ref-type="bibr" rid="ref8">11</xref>
        ]. Therefore, we performed a
reanalysis to find out how much the room
temperature could be significantly improved. As
in 5.2 (3), compared with before falling asleep, we
compared the cases where the temperature was
lowered by 0.5 to 2°C after falling asleep and the
cases where it was maintained or raised (Figure
9). In the test, Fisher's exact test was used for two
classifications for the resolution of drowsiness: no
change or worsening. As a result, it was found that
lowering the temperature by 0.5 to 1.5°C
eliminated drowsiness more effectively than
maintaining or increasing the temperature.
      </p>
    </sec>
    <sec id="sec-13">
      <title>6. Conclusion</title>
      <p>Sleep quality in naps and thermal environment
were evaluated by nap start time. There was a
tendency to take longer to fall asleep for sleep
latency time and nap start time in the morning, and
the sleep latency time was the shortest around
15:00. This is thought to be the influence of the
circadian rhythm, which shortens the sleep
latency time during time periods when drowsiness
is felt. Additionally, increasing room temperature
appears to shorten sleep latency time for time
periods when drowsiness is not felt; however, the
biological rhythm is thought to have had a more
significant effect than room temperature for time
periods when drowsiness is felt.</p>
      <p>The depth of sleep when asleep is similarly to
the above. N2 time tends to be longer during time
periods when sleepiness is felt due to the influence
of the circadian rhythm, and the depth of sleep is
shallow during time periods when sleepiness is
not felt. (N2 time is shortened.) As for sleep depth,
lowering the room temperature after falling asleep
decreases the number of nocturnal awakenings for
all time periods, suggesting that sleep is strongly
affected by room temperature.</p>
      <p>Compared to when the room temperature was
maintained or increased, lowering the room
temperature by 0.5 to 1.5°C after falling asleep
eliminated the sensation of drowsiness felt before
the nap for both time periods of 1 hour and 3 hours
after waking from the nap.</p>
      <p>In addition, we examined the results this time
for all subjects, including men and women.
However, as evidenced by reports of differences
in thermal sensations between men and women
[16, 17], it is thought that the optimal temperature
varies among individuals. In addition, in this
survey, subjects were men and women in their 20s
who worked day shifts, and the subjects had
similar times for waking and going to sleep. On
the other hand, in the case of different lifestyles,
such as night owls and early birds, similar results
may not be obtained. Therefore, as a future task,
it is necessary to pay attention to the
characteristics of each individual, and to examine
differences in the quality of naps due to individual
lifestyle habits and thermal control.</p>
    </sec>
    <sec id="sec-14">
      <title>7. References</title>
      <p>[1] Ministry of Health, Labour and Welfare of
Japan, 2019.</p>
      <p>URL:https://www.mhlw.go.jp/content/1090
0000/000687163.pdf
[2] Cheri D., Kenneth E., Eric J., and William C.,
"The effects of sleep extension on the athletic
performance of collegiate basketball players.
" Sleep, 34(7):943-50, 2011.
[3] Hayashi M., Watanabe M., and Hori T., "The
effects of a 20-min nap in the mid-afternoon
on mood", performance and EEG activity.
Clinical Neurophysiology, 110:272-279,
1999.
[15] Fletcher A., van den Heuvel C, Dawson D.,
"Sleeping with an electric blanket: effects on
core temperature, sleep, and melatonin in
young adults." Sleep. 22: 313-8, 1999.
[16] Yasuoka A., Kubo H., Tsuzuki K., Isoda N.,
"Study on sex differences in clothing and
thermal comfort with using air conditioner in
summer", The 66th Annual Meeting of the
Japan Society of Home Economics, 2014.
[17] Takada S., "Study on Individual Difference
in Thermal Sensation Vote for Prediction of
Thermal Sensation, Kinki Chapter of the
Society of Heating", Air-Conditioning and
Sanitary Engineers of Japan, Environmental
Engineering Research Group, 2019.</p>
    </sec>
  </body>
  <back>
    <ref-list>
      <ref id="ref1">
        <mixed-citation>
          [4]
          <string-name>
            <surname>Hayashi</surname>
            <given-names>M.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Fukushima</surname>
            <given-names>H.</given-names>
          </string-name>
          , and
          <string-name>
            <surname>Hori</surname>
            <given-names>T.</given-names>
          </string-name>
          ,
          <article-title>"The effects of short daytime naps for five consecutive days</article-title>
          .
          <source>Sleep Research Online"</source>
          ,
          <volume>5</volume>
          :
          <fpage>13</fpage>
          -
          <lpage>17</lpage>
          ,
          <year>2003a</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref2">
        <mixed-citation>
          [5]
          <string-name>
            <surname>Hayashi</surname>
            <given-names>M.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Masuda</surname>
            <given-names>A.</given-names>
          </string-name>
          , and
          <string-name>
            <surname>Hori</surname>
            <given-names>T.</given-names>
          </string-name>
          ,
          <article-title>"The alerting effects of caffeine, bright light and face washing after a short daytime nap</article-title>
          .
          <source>" Clinical Neurophysiology</source>
          ,
          <volume>114</volume>
          :
          <fpage>2268</fpage>
          -
          <lpage>2278</lpage>
          ,
          <year>2003b</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref3">
        <mixed-citation>
          [6]
          <string-name>
            <surname>Hayashi</surname>
            <given-names>M.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Chikazawa</surname>
            <given-names>Y.</given-names>
          </string-name>
          , and
          <string-name>
            <surname>Hori</surname>
            <given-names>T.</given-names>
          </string-name>
          ,
          <article-title>"Short nap versus short rest: recuperative effects during VDT work</article-title>
          .
          <source>" Ergonomics</source>
          ,
          <volume>47</volume>
          :
          <fpage>1549</fpage>
          -
          <lpage>1560</lpage>
          ,
          <year>2004</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref4">
        <mixed-citation>
          [7]
          <string-name>
            <surname>Hayashi</surname>
            <given-names>M.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Motoyoshi</surname>
            <given-names>N.</given-names>
          </string-name>
          , and
          <string-name>
            <surname>Hori</surname>
            <given-names>T.</given-names>
          </string-name>
          ,
          <article-title>"Recuperative power of a short daytime nap with or without stage 2 sleep. "</article-title>
          <source>Sleep</source>
          ,
          <volume>28</volume>
          :
          <fpage>829</fpage>
          -
          <lpage>836</lpage>
          ,
          <year>2005</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref5">
        <mixed-citation>
          [8]
          <string-name>
            <surname>Hayashi</surname>
            <given-names>M.</given-names>
          </string-name>
          , and
          <string-name>
            <surname>Hori</surname>
            <given-names>T.</given-names>
          </string-name>
          ,
          <article-title>"A short nap as a countermeasure against afternoon sleepiness. "</article-title>
          <source>Japanese Journal of Physiological Psychology and Psychophysiology</source>
          ,
          <volume>25</volume>
          (
          <issue>1</issue>
          ),
          <fpage>45</fpage>
          -
          <lpage>59</lpage>
          ,
          <year>2007</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref6">
        <mixed-citation>
          [9]
          <string-name>
            <surname>Toma</surname>
            <given-names>A.</given-names>
          </string-name>
          , and
          <string-name>
            <surname>Ogata</surname>
            <given-names>S.</given-names>
          </string-name>
          ,
          <article-title>"Fundamental research toward the education practice which applied music: consciousness change on EEG under the music appreciation and mental set. " The Bulletin of the Research and Clinical Center for Handicapped Children</article-title>
          ,
          <volume>6</volume>
          :
          <fpage>41</fpage>
          -
          <lpage>54</lpage>
          ,
          <year>2004</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref7">
        <mixed-citation>
          [10]
          <string-name>
            <surname>Wakashima</surname>
            <given-names>K.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Karashima</surname>
            <given-names>M.</given-names>
          </string-name>
          ,
          <article-title>"Effectiveness of a Short Lunchtime Nap in Prone Posture on the Desk"</article-title>
          , School of Information and Telecommunication Engineering, Tokai University, vol.
          <volume>4</volume>
          ,
          <issue>No1</issue>
          , pp.
          <fpage>40</fpage>
          -
          <lpage>46</lpage>
          ,
          <year>2011</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref8">
        <mixed-citation>
          [11]
          <string-name>
            <surname>Nakai</surname>
            <given-names>M.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Ashikaga</surname>
            <given-names>T.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Ohga</surname>
            <given-names>T.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Takadama</surname>
            <given-names>K.</given-names>
          </string-name>
          ,
          <article-title>"A Thermal Environment that Promotes Efficient Napping", The AAAI 2022 Spring Symposia, How Fair is Fair? Achieving Wellbeing AI</article-title>
          .,
          <year>2022</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref9">
        <mixed-citation>
          [12]
          <string-name>
            <surname>Williams</surname>
            <given-names>R. L.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Karacan</surname>
            <given-names>I.</given-names>
          </string-name>
          , &amp;
          <string-name>
            <surname>Hursch</surname>
            <given-names>C. J.</given-names>
          </string-name>
          ,
          <article-title>"Electroencephalography (EEG) of human sleep: clinical applications</article-title>
          ." New York, John Wiley &amp; Sons,
          <year>1974</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref10">
        <mixed-citation>
          [13]
          <string-name>
            <surname>Stampi</surname>
            <given-names>C.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Mullington</surname>
            <given-names>J.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Rivers</surname>
            <given-names>M.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Campos</surname>
            <given-names>J. P.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Broughton</surname>
            <given-names>R.</given-names>
          </string-name>
          ,
          <article-title>"Ultrashort sleep schedules: sleep architecture and recuperative value of 80-</article-title>
          ,
          <fpage>50</fpage>
          - and 20- min naps. In J. Horne (Ed.), Sleep '
          <fpage>90</fpage>
          ." Bochum:Pontenagel Press, pp.
          <fpage>71</fpage>
          -
          <lpage>74</lpage>
          ,
          <year>1990</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref11">
        <mixed-citation>
          [14]
          <string-name>
            <surname>Brooks</surname>
            <given-names>A.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Lack</surname>
            <given-names>L.</given-names>
          </string-name>
          ,
          <article-title>"A brief afternoon nap following nocturnal sleep restriction: which nap duration is most recuperative?"</article-title>
          <source>Sleep</source>
          ,
          <volume>29</volume>
          ,
          <fpage>831</fpage>
          -
          <lpage>840</lpage>
          ,
          <year>2006</year>
          .
        </mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>