<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0035-001X</journal-id>
<journal-title><![CDATA[Revista mexicana de física]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. fis.]]></abbrev-journal-title>
<issn>0035-001X</issn>
<publisher>
<publisher-name><![CDATA[Sociedad Mexicana de Física]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0035-001X2023000500013</article-id>
<article-id pub-id-type="doi">10.31349/revmexfis.69.051101</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Circadian cycles: A time-series approach]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[García-Iglesias]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Rivera]]></surname>
<given-names><![CDATA[A. L.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
<xref ref-type="aff" rid="Aaf"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Fossion]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
<xref ref-type="aff" rid="Aaf"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Autónoma del Estado de Morelos  ]]></institution>
<addr-line><![CDATA[Cuernavaca Morelos]]></addr-line>
<country>México</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad Nacional Autónoma de México Instituto de Ciencias Nucleares ]]></institution>
<addr-line><![CDATA[Ciudad de Mexico ]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Universidad Nacional Autónoma de México Centro de Ciencias de la Complejidad (C3) ]]></institution>
<addr-line><![CDATA[Ciudad de Mexico ]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>10</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>10</month>
<year>2023</year>
</pub-date>
<volume>69</volume>
<numero>5</numero>
<fpage>0</fpage>
<lpage>0</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0035-001X2023000500013&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2023000500013&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2023000500013&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract The extraction of circadian cycles from experimental data can be interpreted as a specific case of time-series or signal analysis, but chronobiology and time-series analysis appear to have developed according to separate paths. Whereas some techniques such as continuous (CWT) and discrete wavelet analysis (DWT) are used frequently in rhythmobiology, other specialized methdos such as digital filters, nonlinear mode decomposition (NMD), singular spectrum analysis (SSA), empirical mode decomposition (EMD), ensemble empirical mode decomposition (EEMD) and complete ensemble empirical model decomposition with adaptive noise (CEEMDAN) have only occasionally been applied. No studies are available that compare the applicability between a wide variety of different methods or for different variables, and this is the purpose of the present contribution. These methods improve the goodness-of-fit of the circadian cycle with respect to the standard approach of cosinor analysis. They have the additional advantage of being able to quantify the day-to-day variability of the circadian parameters of mesor, amplitude, period and acrophase around their average values, with potential clinical applications to distinguish between healthy and unhealthy populations. Finally, the circadian parameters are interpreted within the context of homeostatic regulation with distinctive statistics for regulated and effector variables.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Circadian parameters]]></kwd>
<kwd lng="en"><![CDATA[day-to-day variability]]></kwd>
<kwd lng="en"><![CDATA[homeostasis]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<label>1</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Schibler]]></surname>
<given-names><![CDATA[U.]]></given-names>
</name>
<name>
<surname><![CDATA[Sassone-Corsi]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A Web of Circadian Pacemakers]]></article-title>
<source><![CDATA[Cell]]></source>
<year>2002</year>
<volume>111</volume>
<page-range>919</page-range></nlm-citation>
</ref>
<ref id="B2">
<label>2</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Mohawk]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Green]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[JS]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Central and peripheral circadian clocks in mammals]]></article-title>
<source><![CDATA[Annu Rev Neurosci.]]></source>
<year>2012</year>
<volume>35</volume>
<page-range>445</page-range></nlm-citation>
</ref>
<ref id="B3">
<label>3</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Rietveld]]></surname>
<given-names><![CDATA[W. J.]]></given-names>
</name>
<name>
<surname><![CDATA[Minors]]></surname>
<given-names><![CDATA[D. S.]]></given-names>
</name>
<name>
<surname><![CDATA[Waterhouse]]></surname>
<given-names><![CDATA[J. M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Circadian Rhythms and Masking: An Overview]]></article-title>
<source><![CDATA[Chronobiology International]]></source>
<year>1993</year>
<volume>10</volume>
<page-range>306</page-range></nlm-citation>
</ref>
<ref id="B4">
<label>4</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Martinez-Nicolas]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Uncovering Different Masking Factors on Wrist Skin Temperature Rhythm in Free-Living Subjects]]></article-title>
<source><![CDATA[PLoS ONE]]></source>
<year>2013</year>
<volume>8</volume>
</nlm-citation>
</ref>
<ref id="B5">
<label>5</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ditty]]></surname>
<given-names><![CDATA[J. L.]]></given-names>
</name>
<name>
<surname><![CDATA[Mackey]]></surname>
<given-names><![CDATA[S. R.]]></given-names>
</name>
<name>
<surname><![CDATA[Johnson]]></surname>
<given-names><![CDATA[C. H.]]></given-names>
</name>
</person-group>
<source><![CDATA[Bacterial Circadian Programs]]></source>
<year>2009</year>
<publisher-loc><![CDATA[Heidelberg ]]></publisher-loc>
<publisher-name><![CDATA[Springer]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B6">
<label>6</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Staiger]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<source><![CDATA[Plant Circadian Networks Methods and Protocols]]></source>
<year>2014</year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Humana Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B7">
<label>7</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Denlinger]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Giebultowicz]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Saunders]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<source><![CDATA[Insect timing: Circadian rhythmicity to seasonality]]></source>
<year>2001</year>
<publisher-loc><![CDATA[Amsterdam ]]></publisher-loc>
<publisher-name><![CDATA[Elsevier]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B8">
<label>8</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Aschoff]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Daan]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[G]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<source><![CDATA[Vertebrate Circadian Systems: Structure and Physiology]]></source>
<year>1982</year>
<publisher-loc><![CDATA[Heidelberg, Berlin ]]></publisher-loc>
<publisher-name><![CDATA[Springer-Verlag]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B9">
<label>9</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Minors]]></surname>
<given-names><![CDATA[D. S.]]></given-names>
</name>
<name>
<surname><![CDATA[Waterhouse]]></surname>
<given-names><![CDATA[J. M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Circadian Rhythms and the Human]]></source>
<year>1981</year>
<publisher-loc><![CDATA[Bristol ]]></publisher-loc>
<publisher-name><![CDATA[Wright PSG]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B10">
<label>10</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Refinetti]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[Circadian Rhythms and the Human]]></source>
<year>2006</year>
<edition>2nd</edition>
<publisher-loc><![CDATA[Boca Rato ]]></publisher-loc>
<publisher-name><![CDATA[CRC Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B11">
<label>11</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gumz]]></surname>
<given-names><![CDATA[M. L.]]></given-names>
</name>
</person-group>
<source><![CDATA[Physiology in Health and Disease]]></source>
<year>2016</year>
<publisher-loc><![CDATA[Heidelberg ]]></publisher-loc>
<publisher-name><![CDATA[Springer]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B12">
<label>12</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Jazwinski]]></surname>
<given-names><![CDATA[S. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Belancio]]></surname>
<given-names><![CDATA[V. P.]]></given-names>
</name>
<name>
<surname><![CDATA[H]]></surname>
<given-names><![CDATA[S. M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Circadian Rhythms and Their Impact on Aging]]></source>
<year>2017</year>
<publisher-loc><![CDATA[Heidelberg ]]></publisher-loc>
<publisher-name><![CDATA[Springer]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B13">
<label>13</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Halberg]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
<name>
<surname><![CDATA[Tong]]></surname>
<given-names><![CDATA[Y. L.]]></given-names>
</name>
<name>
<surname><![CDATA[Johnson]]></surname>
<given-names><![CDATA[E. A.]]></given-names>
</name>
</person-group>
<source><![CDATA[Circadian System Phase - An Aspect of Temporal Morphology ; Procedures and Illustrative Examples]]></source>
<year>1967</year>
<page-range>20-48</page-range><publisher-name><![CDATA[Springer Berlin Heidelberg]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B14">
<label>14</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cornelissen]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Cosinor-based rhythmometry]]></article-title>
<source><![CDATA[Theoretical Biology and Medical Modelling]]></source>
<year>2014</year>
<volume>11</volume>
<page-range>1</page-range></nlm-citation>
</ref>
<ref id="B15">
<label>15</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Nóbrega]]></surname>
<given-names><![CDATA[P. V. d. N.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Sleep and frailty syndrome in elderly residents of long-stay institutions: A cross-sectional study]]></article-title>
<source><![CDATA[Geriatrics &amp; Gerontology International]]></source>
<year>2014</year>
<volume>14</volume>
<page-range>605</page-range></nlm-citation>
</ref>
<ref id="B16">
<label>16</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Musiek]]></surname>
<given-names><![CDATA[E. S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Circadian Rest-Activity Pattern Changes in Aging and Preclinical Alzheimer Disease]]></article-title>
<source><![CDATA[JAMA Neurology]]></source>
<year>2018</year>
<volume>75</volume>
<page-range>582</page-range></nlm-citation>
</ref>
<ref id="B17">
<label>17</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Suibkitwanchai]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Nonparametric time series summary statistics for high-frequency accelerometry data from individuals with advanced dementia]]></article-title>
<source><![CDATA[PLOS ONE]]></source>
<year>2020</year>
<volume>15</volume>
</nlm-citation>
</ref>
<ref id="B18">
<label>18</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gamble]]></surname>
<given-names><![CDATA[K. L]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Delayed Sleep Timing and Symptoms in Adults With Attention-Deficit/Hyperactivity Disorder: A Controlled Actigraphy Study]]></article-title>
<source><![CDATA[Chronobiology International]]></source>
<year>2013</year>
<volume>30</volume>
<page-range>598</page-range></nlm-citation>
</ref>
<ref id="B19">
<label>19</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Tafoya]]></surname>
<given-names><![CDATA[S. A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Indicators of vulnerability associated with less healthy circadian rhythms in undergraduate medical interns]]></article-title>
<source><![CDATA[Chronobiology International]]></source>
<year>2019</year>
<volume>36</volume>
<page-range>1782</page-range></nlm-citation>
</ref>
<ref id="B20">
<label>20</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Fossion]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Multiscale adaptive analysis of circadian rhythms and intradaily variability: Application to actigraphy time series in acute insomnia subjects]]></article-title>
<source><![CDATA[PLoS ONE]]></source>
<year>2017</year>
<volume>12</volume>
</nlm-citation>
</ref>
<ref id="B21">
<label>21</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Witting]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Alterations in the circadian rest-activity rhythm in aging and Alzheimer&#8217;s disease]]></article-title>
<source><![CDATA[Biological Psychiatry]]></source>
<year>1990</year>
<volume>27</volume>
<page-range>563</page-range></nlm-citation>
</ref>
<ref id="B22">
<label>22</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gonçalves]]></surname>
<given-names><![CDATA[B. S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Nonparametric methods in actigraphy: An update]]></article-title>
<source><![CDATA[Sleep Science]]></source>
<year>2014</year>
<volume>7</volume>
<page-range>158</page-range></nlm-citation>
</ref>
<ref id="B23">
<label>23</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ashish]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
</person-group>
<source><![CDATA[Modern control design]]></source>
<year>2002</year>
<publisher-loc><![CDATA[Chichester ]]></publisher-loc>
<publisher-name><![CDATA[John Wiley &amp; Sons, Ltd.]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B24">
<label>24</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Chen]]></surname>
<given-names><![CDATA[D. T.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Rheology of Soft Materials]]></article-title>
<source><![CDATA[Annual Review of Condensed Matter Physics]]></source>
<year>2010</year>
<volume>1</volume>
<page-range>301</page-range></nlm-citation>
</ref>
<ref id="B25">
<label>25</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Fossion]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Rivera]]></surname>
<given-names><![CDATA[A. L.]]></given-names>
</name>
<name>
<surname><![CDATA[Esta nol]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A physicist&#8217;s view of homeostasis: How time series of continuous monitoring reflect the function of physiological variables in regulatory mechanisms]]></article-title>
<source><![CDATA[Physiological Measurement]]></source>
<year>2018</year>
<volume>39</volume>
</nlm-citation>
</ref>
<ref id="B26">
<label>26</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Fossion]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Homeostasis from a Time-Series Perspective: An Intuitive Interpretation of the Variability of Physiological Variables]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Olivares-Quiroz]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Resendis-Antonio]]></surname>
<given-names><![CDATA[O.]]></given-names>
</name>
</person-group>
<source><![CDATA[Quantitative Models for Microscopic to Macroscopic Biological Macromolecules and Tissues]]></source>
<year>2018</year>
<page-range>87-109</page-range><publisher-name><![CDATA[Springer International Publishing AG]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B27">
<label>27</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Fossion]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Sáenz-Burrola]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Zapata-Fonseca]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[On the stability and adaptability of human physiology: Gaussians meet heavy-tailed distributions]]></article-title>
<source><![CDATA[INTERdisciplina]]></source>
<year>2020</year>
<volume>8</volume>
</nlm-citation>
</ref>
<ref id="B28">
<label>28</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Fossion]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A Time-Series Approach to Assess Physiological and Biomechanical Regulatory Mechanisms]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Wood]]></surname>
<given-names><![CDATA[D. R.]]></given-names>
</name>
</person-group>
<source><![CDATA[2019-20 MATRIX Annals]]></source>
<year>2021</year>
<volume>4</volume>
<publisher-name><![CDATA[Springer]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B29">
<label>29</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Butz]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
</person-group>
<source><![CDATA[Fourier Transformation for Pedestrians]]></source>
<year>2015</year>
<publisher-loc><![CDATA[Heidelberg ]]></publisher-loc>
<publisher-name><![CDATA[Springer- Cham]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B30">
<label>30</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Addison]]></surname>
<given-names><![CDATA[P. S.]]></given-names>
</name>
</person-group>
<source><![CDATA[The Illustrated Wavelet Transform Handbook: Introductory Theory and Applications in Science, Engineering, Medicine and Finance]]></source>
<year>2002</year>
<publisher-loc><![CDATA[Bristol ]]></publisher-loc>
<publisher-name><![CDATA[Institute of Physics Publishing (IOP)]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B31">
<label>31</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hramov]]></surname>
<given-names><![CDATA[A. E.]]></given-names>
</name>
</person-group>
<source><![CDATA[Wavelets in Neuroscience]]></source>
<year>2015</year>
<publisher-loc><![CDATA[Heidelberg, Heidelberg ]]></publisher-loc>
<publisher-name><![CDATA[Springer- Verlag]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B32">
<label>32</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Iatsenko]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<source><![CDATA[Nonlinear Mode Decomposition: Theory and Applications]]></source>
<year>2015</year>
<publisher-loc><![CDATA[Heidelberg ]]></publisher-loc>
<publisher-name><![CDATA[Springer-Verlag]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B33">
<label>33</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Iatsenko]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[McClintock]]></surname>
<given-names><![CDATA[P. V. E.]]></given-names>
</name>
<name>
<surname><![CDATA[Stefanovska]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Nonlinear mode decomposition: A noise-robust, adaptive decomposition method]]></article-title>
<source><![CDATA[Phys. Rev. E]]></source>
<year>2015</year>
<volume>92</volume>
<page-range>032916</page-range></nlm-citation>
</ref>
<ref id="B34">
<label>34</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Elsner]]></surname>
<given-names><![CDATA[J. B.]]></given-names>
</name>
<name>
<surname><![CDATA[Tsonis]]></surname>
<given-names><![CDATA[A. A.]]></given-names>
</name>
</person-group>
<source><![CDATA[Singular Spectrum Analysis: A New Tool in Time Series Analysis]]></source>
<year>1996</year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Springer Science]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B35">
<label>35</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Golyandina]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
<name>
<surname><![CDATA[Nekrutkin]]></surname>
<given-names><![CDATA[V.]]></given-names>
</name>
<name>
<surname><![CDATA[Zhigljavsky]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<source><![CDATA[Analysis of Time Series Structure: SSA and Related Techniques]]></source>
<year>2000</year>
<publisher-loc><![CDATA[Boca Raton ]]></publisher-loc>
<publisher-name><![CDATA[Chapman &amp; Hall]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B36">
<label>36</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Golyandina]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
<name>
<surname><![CDATA[Zhigljavsky]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<source><![CDATA[Singular Spectrum Analysis for Time Series]]></source>
<year>2013</year>
<publisher-loc><![CDATA[Heidelberg ]]></publisher-loc>
<publisher-name><![CDATA[Springer]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B37">
<label>37</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Huang]]></surname>
<given-names><![CDATA[N. E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The Empirical Mode Decomposition and the Hilbert Spectrum for Nonlinear and Non- Stationary Time Series Analysis]]></article-title>
<source><![CDATA[Proceedings of Royal Society of London A]]></source>
<year>1998</year>
<volume>454</volume>
<page-range>903</page-range></nlm-citation>
</ref>
<ref id="B38">
<label>38</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Huang]]></surname>
<given-names><![CDATA[N. E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[confidence limit for the empirical mode decomposition and Hilbert spectral analysis]]></article-title>
<source><![CDATA[Proceedings of Royal Society of London A]]></source>
<year>2003</year>
<volume>4592</volume>
<page-range>2317-45</page-range></nlm-citation>
</ref>
<ref id="B39">
<label>39</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Wu]]></surname>
<given-names><![CDATA[Z.]]></given-names>
</name>
<name>
<surname><![CDATA[Huang]]></surname>
<given-names><![CDATA[N. E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Ensemble Empirical Mode Decomposition: A noise-assisted data anlysis method]]></article-title>
<source><![CDATA[Advances in Adaptative Data Analysis]]></source>
<year>2009</year>
<volume>1</volume>
<page-range>1</page-range></nlm-citation>
</ref>
<ref id="B40">
<label>40</label><nlm-citation citation-type="confpro">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Torres]]></surname>
<given-names><![CDATA[M. E.]]></given-names>
</name>
</person-group>
<source><![CDATA[A complete ensemble empirical mode decomposition with adaptive noise]]></source>
<year>2011</year>
<conf-name><![CDATA[ ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing]]></conf-name>
<conf-loc> </conf-loc>
<page-range>4144</page-range></nlm-citation>
</ref>
<ref id="B41">
<label>41</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hammad]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[pyActigraphy: Open-source python package for actigraphy data visualization and analysis]]></article-title>
<source><![CDATA[PLOS Computational Biology]]></source>
<year>2021</year>
<volume>17</volume>
<page-range>1</page-range></nlm-citation>
</ref>
<ref id="B42">
<label>42</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[MoÅ¡kon]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[CosinorPy: a python package for cosinor-based rhythmometry]]></article-title>
<source><![CDATA[BMC Bioinformatics]]></source>
<year>2020</year>
<volume>21</volume>
<page-range>485</page-range></nlm-citation>
</ref>
<ref id="B43">
<label>43</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Shenoi]]></surname>
<given-names><![CDATA[B. A.]]></given-names>
</name>
</person-group>
<source><![CDATA[Introduction to digital signal processing and filter design]]></source>
<year>2006</year>
<publisher-loc><![CDATA[Hoboken, New Jersey ]]></publisher-loc>
<publisher-name><![CDATA[JohnWiley &amp; Sons, Ltd.]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B44">
<label>44</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[O&#8217;Haver]]></surname>
<given-names><![CDATA[T. a]]></given-names>
</name>
</person-group>
<source><![CDATA[Pragmatic introduction to signal processing]]></source>
<year>2021</year>
<publisher-name><![CDATA[Kindle Direct Publishing]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B45">
<label>45</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Klette]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[Concise Computer Vision: An Introduction into Theory and Algorithms]]></source>
<year>2014</year>
<publisher-loc><![CDATA[London ]]></publisher-loc>
<publisher-name><![CDATA[Springer-Verlag]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B46">
<label>46</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Fossion]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Quantification of Irregular Rhythms in Chronobiology: A Time-Series Perspective]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[El-Esawi]]></surname>
<given-names><![CDATA[M. A.]]></given-names>
</name>
</person-group>
<source><![CDATA[Circadian Rhythm - Cellular and Molecular Mechanisms]]></source>
<year>2018</year>
<page-range>33-58</page-range><publisher-name><![CDATA[INTECH]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B47">
<label>47</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Dowse]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Maximum entropy spectral analysis for circadian rhythms: theory, history and practice]]></article-title>
<source><![CDATA[Journal of Circadian Rhythms]]></source>
<year>2013</year>
<volume>11</volume>
<page-range>6</page-range></nlm-citation>
</ref>
<ref id="B48">
<label>48</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Jasien]]></surname>
<given-names><![CDATA[J. V.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Cyclic Pattern of Intraocular Pressure (IOP) and Transient IOP Fluctuations in Nonhuman Primates Measured with Continuous Wireless Telemetry]]></article-title>
<source><![CDATA[Current Eye Research]]></source>
<year>2019</year>
<volume>44</volume>
<page-range>1244</page-range></nlm-citation>
</ref>
<ref id="B49">
<label>49</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Z.]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[W]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Modeling diurnal hormone profiles by hierarchical state space models]]></article-title>
<source><![CDATA[Stat Med.]]></source>
<year>2015</year>
<volume>34</volume>
<page-range>3223</page-range></nlm-citation>
</ref>
<ref id="B50">
<label>50</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sim]]></surname>
<given-names><![CDATA[S. Y.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Estimation of Circadian Body Temperature Rhythm Based on Heart Rate in Healthy, Ambulatory Subjects]]></article-title>
<source><![CDATA[IEEE Journal of Biomedical and Health Informatics]]></source>
<year>2017</year>
<volume>21</volume>
<page-range>407</page-range></nlm-citation>
</ref>
<ref id="B51">
<label>51</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Yin]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Actigraphy-based parameter tuning process for adaptive notch filter and circadian phase shift estimation]]></article-title>
<source><![CDATA[Chronobiology International]]></source>
<year>2020</year>
<volume>37</volume>
<page-range>1552</page-range></nlm-citation>
</ref>
<ref id="B52">
<label>52</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bonarius]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Papatsimpa]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Linnartz]]></surname>
<given-names><![CDATA[J.-P.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Parameter Estimation in a Model of the Human Circadian Pacemaker Using a Particle Filter]]></article-title>
<source><![CDATA[IEEE Transactions on Biomedical Engineering]]></source>
<year>2021</year>
<volume>68</volume>
<page-range>1305</page-range></nlm-citation>
</ref>
<ref id="B53">
<label>53</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Mott]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Model-Based Human Circadian Phase Estimation Using a Particle Filter]]></article-title>
<source><![CDATA[IEEE Transactions on Biomedical Engineering]]></source>
<year>2011</year>
<volume>58</volume>
<page-range>1325</page-range></nlm-citation>
</ref>
<ref id="B54">
<label>54</label><nlm-citation citation-type="confpro">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Wickramasuriya]]></surname>
<given-names><![CDATA[D. S.]]></given-names>
</name>
<name>
<surname><![CDATA[Faghih]]></surname>
<given-names><![CDATA[R. T.]]></given-names>
</name>
</person-group>
<source><![CDATA[A Cortisol-Based Energy Decoder for Investigation of Fatigue in Hypercortisolism]]></source>
<year>2019</year>
<conf-name><![CDATA[ 41stAnnual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC)]]></conf-name>
<conf-date>2019</conf-date>
<conf-loc> </conf-loc>
<page-range>11-4</page-range></nlm-citation>
</ref>
<ref id="B55">
<label>55</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Westerhof]]></surname>
<given-names><![CDATA[B. E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Variable day/night bias in 24-h noninvasive finger pressure against intrabrachial artery pressure is removed by waveform filtering and level correction]]></article-title>
<source><![CDATA[Journal of hypertension]]></source>
<year>2002</year>
<volume>20</volume>
<page-range>1981-6</page-range></nlm-citation>
</ref>
<ref id="B56">
<label>56</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bo&#353;koski]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Debenjak]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Boshkoska]]></surname>
<given-names><![CDATA[B. M]]></given-names>
</name>
</person-group>
<source><![CDATA[Fast Electrochemical Impedance Spectroscopy: As a Statistical Condition Monitoring Tool]]></source>
<year>2017</year>
<publisher-loc><![CDATA[Heidelberg ]]></publisher-loc>
<publisher-name><![CDATA[Springer-Verlag]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B57">
<label>57</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Leise]]></surname>
<given-names><![CDATA[T. L.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Wavelet Meets Actogram]]></article-title>
<source><![CDATA[Journal of Biological Rhythms]]></source>
<year>2013</year>
<volume>28</volume>
<page-range>62</page-range></nlm-citation>
</ref>
<ref id="B58">
<label>58</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Clemson]]></surname>
<given-names><![CDATA[P. T.]]></given-names>
</name>
<name>
<surname><![CDATA[Lancaster]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Stefanovska]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Reconstructing Time-Dependent Dynamics]]></article-title>
<source><![CDATA[Proceedings of the IEEE]]></source>
<year>2016</year>
<volume>104</volume>
<page-range>223</page-range></nlm-citation>
</ref>
<ref id="B59">
<label>59</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Lancaster]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Surrogate data for hypothesis testing of physical systems]]></article-title>
<source><![CDATA[Physics Reports]]></source>
<year>2018</year>
<volume>748</volume>
<page-range>1</page-range></nlm-citation>
</ref>
<ref id="B60">
<label>60</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Percival]]></surname>
<given-names><![CDATA[D. B.]]></given-names>
</name>
<name>
<surname><![CDATA[Walden]]></surname>
<given-names><![CDATA[A. T.]]></given-names>
</name>
</person-group>
<source><![CDATA[Wavelet methods for time series analysis]]></source>
<year>2013</year>
<publisher-loc><![CDATA[London ]]></publisher-loc>
<publisher-name><![CDATA[Cambridge University Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B61">
<label>61</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Lee]]></surname>
<given-names><![CDATA[G. R.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[PyWavelets: A Python package for wavelet analysis]]></article-title>
<source><![CDATA[Journal of Open Source Software]]></source>
<year>2019</year>
<volume>4</volume>
<page-range>1237</page-range></nlm-citation>
</ref>
<ref id="B62">
<label>62</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sanei]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Hassani]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
</person-group>
<source><![CDATA[Singular Spectrum Analysis of Biomedical Signals]]></source>
<year>2016</year>
<publisher-loc><![CDATA[Boca Raton ]]></publisher-loc>
<publisher-name><![CDATA[CRC Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B63">
<label>63</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ghil]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Singular Spectrum Analysis: Methodology and Comparison]]></article-title>
<source><![CDATA[Reviews of Geophysics]]></source>
<year>2002</year>
<volume>40</volume>
<page-range>1</page-range></nlm-citation>
</ref>
<ref id="B64">
<label>64</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hassani]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Singular Spectrum Analysis: Methodology and Comparison]]></article-title>
<source><![CDATA[Journal of Data Science]]></source>
<year>2007</year>
<volume>5</volume>
<page-range>239</page-range></nlm-citation>
</ref>
<ref id="B65">
<label>65</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Fossion]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Vargas]]></surname>
<given-names><![CDATA[G. T.]]></given-names>
</name>
<name>
<surname><![CDATA[Vieyra]]></surname>
<given-names><![CDATA[J.-C. L.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Randommatrix spectra as a time series]]></article-title>
<source><![CDATA[Physical Review E]]></source>
<year>2013</year>
<volume>88</volume>
<page-range>060902</page-range></nlm-citation>
</ref>
<ref id="B66">
<label>66</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Fossion]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A time-series approach to dynamical systems from classical and quantum worlds]]></article-title>
<source><![CDATA[AIP Conf. Proc.]]></source>
<year>2014</year>
<volume>1575</volume>
<page-range>89</page-range></nlm-citation>
</ref>
<ref id="B67">
<label>67</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Yamazaki]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Rhythmic Properties of the Hamster Suprachiasmatic NucleusIn Vivo]]></article-title>
<source><![CDATA[Journal of Neuroscience]]></source>
<year>1998</year>
<volume>18</volume>
<page-range>10709</page-range></nlm-citation>
</ref>
<ref id="B68">
<label>68</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[García-Iglesias]]></surname>
<given-names><![CDATA[L. M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Quantification of irregular circadian cycles using time-series methods]]></article-title>
<source><![CDATA[AIP Conf. Proc.]]></source>
<year>2017</year>
<volume>2090</volume>
<page-range>050009</page-range></nlm-citation>
</ref>
<ref id="B69">
<label>69</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Golyandina]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
<name>
<surname><![CDATA[Korobeynikov]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Basic Singular Spectrum Analysis and forecasting with R]]></article-title>
<source><![CDATA[Computational Statistics &amp; Data Analysis]]></source>
<year>2014</year>
<volume>71</volume>
<page-range>934</page-range></nlm-citation>
</ref>
<ref id="B70">
<label>70</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Wu]]></surname>
<given-names><![CDATA[Z.]]></given-names>
</name>
<name>
<surname><![CDATA[Huang]]></surname>
<given-names><![CDATA[N. E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A study of the characteristics of white noise using the empirical mode decomposition method]]></article-title>
<source><![CDATA[Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences]]></source>
<year>2004</year>
<volume>460</volume>
<page-range>1597</page-range></nlm-citation>
</ref>
<ref id="B71">
<label>71</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Guzmán]]></surname>
<given-names><![CDATA[D. A]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The fractal organization of ultradian rhythms in avian behavior]]></article-title>
<source><![CDATA[Scientific Reports]]></source>
<year>2017</year>
<volume>7</volume>
<page-range>684</page-range></nlm-citation>
</ref>
<ref id="B72">
<label>72</label><nlm-citation citation-type="confpro">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Chen]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Chen]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
</person-group>
<source><![CDATA[Detection of circaseptan rhythm and the &#8220;Monday effect&#8221; from long-term pulse rate dynamics]]></source>
<year>2011</year>
<conf-name><![CDATA[ Annual International Conference of the IEEE Engineering in Medicine and Biology Society]]></conf-name>
<conf-date>2011</conf-date>
<conf-loc> </conf-loc>
<page-range>3780</page-range></nlm-citation>
</ref>
<ref id="B73">
<label>73</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Shimizu]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Application of Empirical Mode Decomposition to Mother and Infant Physical Activity]]></article-title>
<source><![CDATA[Methods Inf Med]]></source>
<year>2018</year>
<volume>57</volume>
<page-range>152</page-range></nlm-citation>
</ref>
<ref id="B74">
<label>74</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Colominas]]></surname>
<given-names><![CDATA[M. A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Noise-Assisted EMD Methods in Action]]></article-title>
<source><![CDATA[Advances in Adaptive Data Analysis]]></source>
<year>2012</year>
<volume>04</volume>
<page-range>1250025</page-range></nlm-citation>
</ref>
<ref id="B75">
<label>75</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Luukko]]></surname>
<given-names><![CDATA[P. J. J.]]></given-names>
</name>
<name>
<surname><![CDATA[Helske]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Räsänen]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Introducing libeemd: a program package for performing the ensemble empirical mode decomposition]]></article-title>
<source><![CDATA[Computational Statistics]]></source>
<year>2015</year>
<volume>31</volume>
<page-range>545</page-range></nlm-citation>
</ref>
<ref id="B76">
<label>76</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Iatsenko]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[McClintock]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Stefanovska]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[On the extraction of instantaneous frequencies from ridges in time-frequency representations of signals]]></article-title>
<source><![CDATA[Signal Processing]]></source>
<year>2013</year>
<volume>125</volume>
</nlm-citation>
</ref>
<ref id="B77">
<label>77</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Theiler]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Testing for nonlinearity in time series: the method of surrogate data]]></article-title>
<source><![CDATA[Physica D: Nonlinear Phenomena]]></source>
<year>1992</year>
<volume>58</volume>
<page-range>77</page-range></nlm-citation>
</ref>
<ref id="B78">
<label>78</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sheppard]]></surname>
<given-names><![CDATA[L.W.]]></given-names>
</name>
<name>
<surname><![CDATA[Stefanovska]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[McClintock]]></surname>
<given-names><![CDATA[P. V.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Detecting the harmonics of oscillations with time-variable frequencies]]></article-title>
<source><![CDATA[Physical Review E - Statistical, Nonlinear, and Soft Matter Physics]]></source>
<year>2011</year>
<volume>83</volume>
<page-range>1</page-range></nlm-citation>
</ref>
<ref id="B79">
<label>79</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Leise]]></surname>
<given-names><![CDATA[T. L.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Analysis of Nonstationary Time Series for Biological Rhythms Research]]></article-title>
<source><![CDATA[Journal of Biological Rhythms]]></source>
<year>2017</year>
<volume>32</volume>
<page-range>187</page-range></nlm-citation>
</ref>
<ref id="B80">
<label>80</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Lyon]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The Discrete Fourier Transform, Part 4: Spectral Leakage]]></article-title>
<source><![CDATA[Journal of Object Technology]]></source>
<year>2009</year>
<volume>8</volume>
<page-range>23</page-range></nlm-citation>
</ref>
<ref id="B81">
<label>81</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Leise]]></surname>
<given-names><![CDATA[T. L.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Wavelet analysis of circadian and ultradian behavioral rhythms]]></article-title>
<source><![CDATA[J. Circadian Rhythms]]></source>
<year>2013</year>
<volume>11</volume>
<page-range>5</page-range></nlm-citation>
</ref>
<ref id="B82">
<label>82</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Leloup]]></surname>
<given-names><![CDATA[J.-C.]]></given-names>
</name>
<name>
<surname><![CDATA[Gonze]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Goldbeter]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Limit Cycle Models for Circadian Rhythms Based on Transcriptional Regulation in Drosophila and Neurospora]]></article-title>
<source><![CDATA[Journal of Biological Rhythms]]></source>
<year>1999</year>
<volume>14</volume>
<page-range>433</page-range></nlm-citation>
</ref>
<ref id="B83">
<label>83</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Lloyd]]></surname>
<given-names><![CDATA[A. L.]]></given-names>
</name>
<name>
<surname><![CDATA[Lloyd]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Hypothesis: the central oscillator of the circadian clock is a controlled chaotic attractor]]></article-title>
<source><![CDATA[Biosystems]]></source>
<year>1993</year>
<volume>29</volume>
<page-range>77</page-range></nlm-citation>
</ref>
<ref id="B84">
<label>84</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Nakazato]]></surname>
<given-names><![CDATA[Yuichi]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Estimation of homeostatic dysregulation and frailty using biomarker variability: a principal component analysis of hemodialysis patients]]></article-title>
<source><![CDATA[Scientific Reports]]></source>
<year>2020</year>
<volume>10</volume>
<page-range>10314</page-range></nlm-citation>
</ref>
<ref id="B85">
<label>85</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Rector]]></surname>
<given-names><![CDATA[J. L.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Dynamical indicators of resilience from physiological time series in geriatric inpatients: Lessons learned]]></article-title>
<source><![CDATA[Experimental Gerontology]]></source>
<year>2021</year>
<volume>149</volume>
<page-range>111341</page-range></nlm-citation>
</ref>
<ref id="B86">
<label>86</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Wainio-Theberge]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Variability and task-responsiveness of electrophysiological dynamics: Scale-free stability and oscillatory flexibility]]></article-title>
<source><![CDATA[Neuro Image]]></source>
<year>2022</year>
<volume>256</volume>
<page-range>119245</page-range></nlm-citation>
</ref>
<ref id="B87">
<label>87</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Stephens]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[&#8220;Ome&#8221; Sweet &#8220;ome&#8221;: From the Genome to the Conductome]]></article-title>
<person-group person-group-type="editor">
<name>
<surname><![CDATA[Wood]]></surname>
<given-names><![CDATA[D. R]]></given-names>
</name>
</person-group>
<source><![CDATA[2019-20 MATRIX Annals]]></source>
<year>2021</year>
<volume>4</volume>
<publisher-name><![CDATA[Springer]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B88">
<label>88</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Polikar]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[The Wavelet Tutorial: The Engineer&#8217;s Ultimate Guide to Wavelet Analysis]]></source>
<year>2021</year>
<edition>2nd</edition>
<publisher-loc><![CDATA[New Jersey ]]></publisher-loc>
<publisher-name><![CDATA[Glassboro]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B89">
<label>89</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Dolu]]></surname>
<given-names><![CDATA[I.]]></given-names>
</name>
<name>
<surname><![CDATA[Nahcivan]]></surname>
<given-names><![CDATA[N. O.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Feasibility of the duration of actigraphy data to illustrate circadian rhythm among cognitively intact older people in nursing home: cosinor analysis]]></article-title>
<source><![CDATA[Sleep and Biological Rhythms]]></source>
<year>2020</year>
<volume>18</volume>
<page-range>59</page-range></nlm-citation>
</ref>
<ref id="B90">
<label>90</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Minaeva]]></surname>
<given-names><![CDATA[O.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Level and timing of physical activity during normal daily life in depressed and non-depressed individuals]]></article-title>
<source><![CDATA[Translational Psychiatry]]></source>
<year>2020</year>
<volume>10</volume>
<page-range>11</page-range></nlm-citation>
</ref>
<ref id="B91">
<label>91</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Stone]]></surname>
<given-names><![CDATA[J. E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Application of a Limit-Cycle Oscillator Model for Prediction of Circadian Phase in Rotating Night Shift Workers]]></article-title>
<source><![CDATA[Scientific Reports]]></source>
<year>2019</year>
<volume>9</volume>
<page-range>11032</page-range></nlm-citation>
</ref>
<ref id="B92">
<label>92</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Leise]]></surname>
<given-names><![CDATA[T. L.]]></given-names>
</name>
<name>
<surname><![CDATA[Harrington]]></surname>
<given-names><![CDATA[M. E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Wavelet-based time series analysis of Circadian rhythms]]></article-title>
<source><![CDATA[Journal of Biological Rhythms]]></source>
<year>2011</year>
<volume>26</volume>
<page-range>454</page-range></nlm-citation>
</ref>
<ref id="B93">
<label>93</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Daubechies]]></surname>
<given-names><![CDATA[I.]]></given-names>
</name>
</person-group>
<source><![CDATA[Ten Lectures on Wavelets]]></source>
<year>1992</year>
<publisher-loc><![CDATA[Philadelphia ]]></publisher-loc>
<publisher-name><![CDATA[Society for Industrial and Applied Mathematics]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B94">
<label>94</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Huang]]></surname>
<given-names><![CDATA[N. E.]]></given-names>
</name>
<name>
<surname><![CDATA[Wu]]></surname>
<given-names><![CDATA[Z.]]></given-names>
</name>
</person-group>
<source><![CDATA[]]></source>
<year></year>
</nlm-citation>
</ref>
<ref id="B95">
<label>95</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Dätig]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Schlurmann]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
</person-group>
<source><![CDATA[]]></source>
<year></year>
</nlm-citation>
</ref>
<ref id="B96">
<label>96</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Modell]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A physiologist&#8217;s view of homeostasis]]></article-title>
<source><![CDATA[Advances in Physiology Education]]></source>
<year>2015</year>
<volume>39</volume>
<page-range>259</page-range></nlm-citation>
</ref>
<ref id="B97">
<label>97</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Seely]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Macklem]]></surname>
<given-names><![CDATA[P. T.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Seeley AJE, Macklem PTComplex systems and the technology of variability analysis]]></article-title>
<source><![CDATA[Critical care]]></source>
<year>2005</year>
<volume>8</volume>
<page-range>R367</page-range></nlm-citation>
</ref>
<ref id="B98">
<label>98</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Iatsenko]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[McClintock]]></surname>
<given-names><![CDATA[P. V.]]></given-names>
</name>
<name>
<surname><![CDATA[Stefanovska]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Linear and synchrosqueezed time-frequency representations revisited: Overview, standards of use, resolution, reconstruction, concentration, and algorithms]]></article-title>
<source><![CDATA[Digital Signal Processing: A Review Journal]]></source>
<year>2015</year>
<volume>42</volume>
<page-range>1</page-range></nlm-citation>
</ref>
<ref id="B99">
<label>99</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Thomas]]></surname>
<given-names><![CDATA[K. A.]]></given-names>
</name>
<name>
<surname><![CDATA[Burr]]></surname>
<given-names><![CDATA[R. L.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Circadian research in mothers and infants: how many days of actigraphy data are needed to fit cosinor parameters?]]></article-title>
<source><![CDATA[J. Nurs Meas]]></source>
<year>2008</year>
<volume>16</volume>
<page-range>201</page-range></nlm-citation>
</ref>
<ref id="B100">
<label>100</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bedrosian]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A product theorem for Hilbert transforms]]></article-title>
<source><![CDATA[Proceedings of the IEEE]]></source>
<year>1963</year>
<volume>51</volume>
<page-range>868</page-range></nlm-citation>
</ref>
<ref id="B101">
<label>101</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Chen]]></surname>
<given-names><![CDATA[Y.-C.]]></given-names>
</name>
<name>
<surname><![CDATA[Cheng]]></surname>
<given-names><![CDATA[M.-Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Wu]]></surname>
<given-names><![CDATA[H.-T.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Non-parametric and adaptive modelling of dynamic periodicity and trend with heteroscedastic and dependent errors]]></article-title>
<source><![CDATA[Journal of the Royal Statistical Society: Series B]]></source>
<year>2014</year>
<volume>76</volume>
<page-range>651</page-range></nlm-citation>
</ref>
<ref id="B102">
<label>102</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[O&#8217;Haver]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
</person-group>
<source><![CDATA[A Pragmatic Introduction to Signal Processing]]></source>
<year>2014</year>
</nlm-citation>
</ref>
<ref id="B103">
<label>103</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[O&#8217;Haver]]></surname>
<given-names><![CDATA[T. C.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[An introduction to signal processing in chemical measurement]]></article-title>
<source><![CDATA[Journal of chemical education]]></source>
<year>1990</year>
<volume>67</volume>
</nlm-citation>
</ref>
<ref id="B104">
<label>104</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Johnson]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<source><![CDATA[Fundamentals of Electrical Engineering]]></source>
<year>2008</year>
<numero>I</numero>
<issue>I</issue>
</nlm-citation>
</ref>
<ref id="B105">
<label>105</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Butz]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
</person-group>
<source><![CDATA[Fourier transformation for pedestrians]]></source>
<year>2006</year>
</nlm-citation>
</ref>
<ref id="B106">
<label>106</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Marques]]></surname>
<given-names><![CDATA[O.]]></given-names>
</name>
</person-group>
<source><![CDATA[Practical Image and Video Processing Using MATLAB]]></source>
<year>2011</year>
<publisher-loc><![CDATA[Hoboken ]]></publisher-loc>
<publisher-name><![CDATA[John Wiley &amp; Sons, Inc.]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B107">
<label>107</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Newman]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Lancaster]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Stefanovska]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<source><![CDATA[Multiscale Oscillatory Dynamics Analysis User Manual]]></source>
<year>2017</year>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
