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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Aging Neurosci.</journal-id>
<journal-title>Frontiers in Aging Neuroscience</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Aging Neurosci.</abbrev-journal-title>
<issn pub-type="epub">1663-4365</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fnagi.2016.00305</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Neuroscience</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Spectral Variability in the Aged Brain during Fine Motor Control</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Quandt</surname> <given-names>Fanny</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/342619/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>B&#x000F6;nstrup</surname> <given-names>Marlene</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/258103/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Schulz</surname> <given-names>Robert</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Timmermann</surname> <given-names>Jan E.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/359971/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Zimerman</surname> <given-names>Maximo</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Nolte</surname> <given-names>Guido</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/16124/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Hummel</surname> <given-names>Friedhelm C.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="aff" rid="aff5"><sup>5</sup></xref>
<xref ref-type="aff" rid="aff6"><sup>6</sup></xref>
<xref ref-type="author-notes" rid="fn001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/17614/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>BrainImaging and NeuroStimulation Laboratory, Department of Neurology, University Medical Center Hamburg-Eppendorf</institution> <country>Hamburg, Germany</country></aff>
<aff id="aff2"><sup>2</sup><institution>Institute of Neuroscience, Favaloro University</institution> <country>Buenos Aires, Argentina</country></aff>
<aff id="aff3"><sup>3</sup><institution>Institute of Cognitive Neurology</institution> <country>Buenos Aires, Argentina</country></aff>
<aff id="aff4"><sup>4</sup><institution>Department of Neurophysiology, University Medical Center Hamburg-Eppendorf</institution> <country>Hamburg, Germany</country></aff>
<aff id="aff5"><sup>5</sup><institution>Clinical Neuroengineering, Brain Mind Institute and Centre of Neuroprosthetics (CNP), Swiss Federal Institute of Technology (EPFL)</institution> <country>Geneva, Switzerland</country></aff>
<aff id="aff6"><sup>6</sup><institution>Clinique Romande de R&#x000E9;adaptation, Swiss Federal Institute of Technology (EPFL Valais)</institution> <country>Sion, Switzerland</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Panagiotis D. Bamidis, Aristotle University of Thessaloniki, Greece</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Yury (Juri) Kropotov, The Institute of the Human Brain of Russian Academy of Sciences, Russia; Ana B. Vivas, CITY College, International Faculty of the University of Sheffield, Greece; Franka Thurm, Dresden University of Technology, Germany</p></fn>
<fn fn-type="corresp" id="fn001"><p>&#x0002A;Correspondence: Friedhelm C. Hummel <email>friedhelm.hummel&#x00040;epfl.ch</email></p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>21</day>
<month>12</month>
<year>2016</year>
</pub-date>
<pub-date pub-type="collection">
<year>2016</year>
</pub-date>
<volume>8</volume>
<elocation-id>305</elocation-id>
<history>
<date date-type="received">
<day>04</day>
<month>05</month>
<year>2016</year>
</date>
<date date-type="accepted">
<day>30</day>
<month>11</month>
<year>2016</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2016 Quandt, B&#x000F6;nstrup, Schulz, Timmermann, Zimerman, Nolte and Hummel.</copyright-statement>
<copyright-year>2016</copyright-year>
<copyright-holder>Quandt, B&#x000F6;nstrup, Schulz, Timmermann, Zimerman, Nolte and Hummel</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license>
</permissions>
<abstract><p>Physiological aging is paralleled by a decline of fine motor skills accompanied by structural and functional alterations of the underlying brain network. Here, we aim to investigate age-related changes in the spectral distribution of neuronal oscillations during fine skilled motor function. We employ the concept of spectral entropy in order to describe the flatness and peaked-ness of a frequency spectrum to quantify changes in the spectral distribution of the oscillatory motor response in the aged brain. Electroencephalogram was recorded in elderly (<italic>n</italic> &#x0003D; 32) and young (<italic>n</italic> &#x0003D; 34) participants who performed either a cued finger movement or a pinch or a whole hand grip task with their dominant right hand. Whereas young participant showed distinct, well-defined movement-related power decreases in the alpha and upper beta band, elderly participants exhibited a flat broadband, frequency-unspecific power desynchronization. This broadband response was reflected by an increase of spectral entropy over sensorimotor and frontal areas in the aged brain. Neuronal activation patterns differed between motor tasks in the young brain, while the aged brain showed a similar activation pattern in all tasks. Moreover, we found a wider recruitment of the cortical motor network in the aged brain. The present study adds to the understanding of age-related changes of neural coding during skilled motor behavior, revealing a less predictable signal with great variability across frequencies in a wide cortical motor network in the aged brain. The increase in entropy in the aged brain could be a reflection of random noise-like activity or could represent a compensatory mechanism that serves a functional role.</p></abstract>
<kwd-group>
<kwd>aging</kwd>
<kwd>motor control</kwd>
<kwd>entropy</kwd>
<kwd>oscillations</kwd>
<kwd>EEG</kwd>
</kwd-group>
<contract-num rid="cn001">SFB 936-C4</contract-num>
<contract-num rid="cn002">01GQ1424B</contract-num>
<contract-sponsor id="cn001">Deutsche Forschungsgemeinschaft<named-content content-type="fundref-id">10.13039/501100001659</named-content></contract-sponsor>
<contract-sponsor id="cn002">Bundesministerium f&#x000FC;r Bildung und Forschung<named-content content-type="fundref-id">10.13039/501100002347</named-content></contract-sponsor>
<counts>
<fig-count count="5"/>
<table-count count="0"/>
<equation-count count="3"/>
<ref-count count="54"/>
<page-count count="9"/>
<word-count count="6622"/>
</counts>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>Introduction</title>
<p>Physiological aging is paralleled by a decline of motor performance, most pronounced in demanding fine motor skills. At the higher age (Smith et al., <xref ref-type="bibr" rid="B44">1999</xref>), elderly show a decrease of movement coordination (Stelmach et al., <xref ref-type="bibr" rid="B46">1988</xref>; Wishart et al., <xref ref-type="bibr" rid="B52">2000</xref>) with increasing variability of motor output (Cooke et al., <xref ref-type="bibr" rid="B8">1989</xref>; Darling et al., <xref ref-type="bibr" rid="B11">1989</xref>), along with a general movement slowing (Buckles, <xref ref-type="bibr" rid="B4">1993</xref>). These behavioral changes are accompanied by alterations of the underlying brain network. During movements a more widespread neuronal network is recruited in the aged brain (Sailer et al., <xref ref-type="bibr" rid="B43">2000</xref>; Ward and Frackowiak, <xref ref-type="bibr" rid="B51">2003</xref>; Wu and Hallett, <xref ref-type="bibr" rid="B53">2005</xref>; Naccarato et al., <xref ref-type="bibr" rid="B33">2006</xref>; Rowe et al., <xref ref-type="bibr" rid="B42">2006</xref>; Vallesi et al., <xref ref-type="bibr" rid="B49">2010</xref>; Deiber et al., <xref ref-type="bibr" rid="B15">2013</xref>). Additionally, elderly show higher magnitudes of movement-related desynchronization of oscillatory activity in frequency bands associated with motor control (Sailer et al., <xref ref-type="bibr" rid="B43">2000</xref>). Apart from the larger movement-related power decrease, few studies so far have observed differences in the frequency patterns with age. When reviewing lifespan changes in the alpha peak, Klimesch reported a drop of peak frequency with age (Klimesch, <xref ref-type="bibr" rid="B26">1999</xref>). Moreover, previous studies found shifts of the most reactive peak frequency during rest (Ga&#x000E1;l et al., <xref ref-type="bibr" rid="B16">2010</xref>) and attention (Deiber et al., <xref ref-type="bibr" rid="B15">2013</xref>). Hong and Rebec hypothesize that in order to compensate for a non-uniform decrease of nerve conduction in the aged brain, individual neurons increase their firing rate with a non-uniform pattern, leading to an irregular firing pattern which subsequently might lead to an unspecific broadband large-scale oscillatory response (Hong and Rebec, <xref ref-type="bibr" rid="B24">2012</xref>). Such a broadening of the neuronal response has, to our knowledge, not been analytically addressed before and is rather difficult to detect when analyzing the data using movement specific narrow frequency bands as previously suggested in healthy young, such as the alpha or upper beta band (Pfurtscheller, <xref ref-type="bibr" rid="B36">1989</xref>; Crone et al., <xref ref-type="bibr" rid="B10">1998</xref>). In the healthy young, spectral changes in the mu (&#x0007E;8&#x02013;13 Hz) and beta band (&#x0007E;14&#x02013;30 Hz) are associated with voluntary movements (Pfurtscheller and Lopes da Silva, <xref ref-type="bibr" rid="B38">1999</xref>). Their definite functional role still remains under debate, however, mu and beta rhythms are thought to represent separate functional processes with different time courses and distributions over the scalp. While the mu rhythm dominantly localizes to the post-central hand area, the beta rhythm localizes to pre-central areas (for a review please refer to (Cheyne, <xref ref-type="bibr" rid="B6">2013</xref>; Brittain and Brown, <xref ref-type="bibr" rid="B3">2014</xref>). Here, we investigate movement-related power changes over a broad frequency band from 8 to 25 Hz and aim to determine whether the implementation of motor tasks in the aged brain is in similar frequency bands compared to the young brain. One measure to characterize differences in the distribution of the spectral content is the spectral entropy <italic>H</italic>. Spectral entropy is an uncertainty measure borrowed from information theory. We solely employ the mathematical concept of entropy by treating the frequency spectrum as a probability density in order to describe the flatness and peaked-ness of a frequency spectrum (Inouye et al., <xref ref-type="bibr" rid="B25">1991</xref>). An oscillatory activity with a flat frequency distribution and large variability results in a high spectral entropy, whereas a peaked signal such as a confined alpha or upper beta movement-related desynchronization would result in a lower spectral entropy. It was our primary objective to mathematically quantify changes of the spectral content of oscillatory movement-related patterns in the aged brain by employing the spectral entropy. Electrophysiological data were recorded from elderly over the age of 60 and young participants while performing different skilled fine motor tasks. So far, most studies investigating the aged motor system have focused on one specific motor task. Here, we assessed different motor tasks, which allows us to make inferences on more generalized age-dependent motor network changes. The magnitude and spatial extent of movement-related power decrease was analyzed. Importantly, we characterized the distribution of the spectral content by spectral entropy. We hypothesized that the aged brain shows larger variability of oscillatory activation patterns with a broadening of the movement-related frequency band and higher spectral entropy.</p>
</sec>
<sec sec-type="materials and methods" id="s2">
<title>Materials and methods</title>
<sec>
<title>Participants</title>
<p>Sixty-six healthy volunteers participated in different EEG experiments, consisting of an elderly group with 32 participants over the age of 60 (mean age 72.2 y/o &#x000B1; 5.2 SD, range 61&#x02013;81 y/o, 19 females) as well as a young control group with 34 participants (mean age 25.5 y/o &#x000B1; 3.3 SD, range 19&#x02013;34, y/o, 14 females). A subgroup of 15 elderly and 16 young participants performed two different motor tasks. All participants were right-handed as confirmed by the Edinburgh handedness inventory (Oldfield, <xref ref-type="bibr" rid="B34">1971</xref>), did not have a history of neurologic disorder and gave written informed consent. All elderly subjects were seen by a neurologist and did not show any cognitive impairment. Elderly subjects participating in the Finger Sequence Task, requiring learning of a digit sequence, all presented with a mini-mental state examination &#x02265;28. The study conforms to &#x0201C;The Code of Ethics&#x0201D; of the World Medical Association (Declaration of Helsinki) and was approved by the local ethics committee of the Medical Association of Hamburg.</p>
</sec>
<sec>
<title>Motor tasks</title>
<p>Participants performed a motor task during EEG recording. All motor tasks required a movement in response to an external visual cue. In every participant, a 2&#x02013;5 min pre- and post-experimental baseline was recorded at unconstrained rest with eyes open.</p>
<sec>
<title>Finger sequence task</title>
<p>Seventeen elderly (range 61&#x02013;81 y/o) and 18 young (range 19&#x02013;33 y/o) participants trained a sequence of 10 consecutive button presses [<italic>2 4 3 2 5 4 5 2 5 3</italic>, with (2) &#x0003D; index finger, (3) &#x0003D; middle, (4) &#x0003D; ring, (5) &#x0003D; little]. The sequence was trained until performance reached a stable level and participants were able to play the sequence at least ten times in a row without any mistakes at a pace of 1 Hz (Gerloff et al., <xref ref-type="bibr" rid="B18">1997</xref>). Hence, the sequence was considered overlearned, ensuring constant baseline performance during the EEG session. Training was conducted either on the day prior or on the day of the experiment. During the following EEG experiment participants sat in front of a computer screen with the right arm positioned on a keyboard. Visual cues without any relation to the learned sequence (&#x0201C;&#x00023;,&#x0201D; &#x0201C;&#x00026;,&#x0201D; &#x0201C;&#x0002B;,&#x0201D; &#x0201C;$&#x0201D;) were presented on a computer screen. The symbols paced the execution of the memorized, well-trained sequence at a frequency of 1 Hz and participants were asked to enter the finger sequence at the pace of the visual cues. The sequence was played with the right hand, using the index-, middle-, ring,- and little finger. Each participant performed 40 repetitions of the 10-digit sequence.</p>
</sec>
<sec>
<title>Pinch grip and whole hand grip task</title>
<p>Fifteen elderly (range 67&#x02013;79 y/o) and 16 young (range 20&#x02013;34 y/o) participants performed repetitive pinch as well as whole hand grips lifting a weight positioned on a table in front of them. Participants were seated in front of a monitor with their arms placed on a custom-made platform. The right hand was placed on a socket installed on the platform with the elbow 90&#x000B0;Flexed. The 200 g weight was lifted 10&#x02013;20 cm of the table using the right thumb and index finger and reset immediately after. Instructions were visually presented on a screen, consisting of the word &#x0201C;pinch grip&#x0201D; or &#x0201C;whole hand grip,&#x0201D; followed by a &#x0201C;GO!&#x0201D; cue 2&#x02013;3 s later. Condition &#x0201C;pinch&#x0201D; and condition &#x0201C;whole&#x0201D; were presented in a random, counterbalanced order. The next trial was initiated 8&#x02013;10 s later. Each participant performed 80 pinch and 80 whole hand grips.</p>
</sec>
</sec>
<sec>
<title>Recording systems and preprocessing</title>
<p>Data were sampled at 1000 Hz using a 63-channel EEG system positioned according to the 10&#x02013;10 System of the American Electroencephalographic Society (using actiCAP&#x000AE;, Brain Products GmbH, Germany, Gilching; Electro-Cap International, Inc., Eaton, OH, USA) and referenced to the Cz electrode. The impedance of the EEG electrodes was kept below 25 k&#x003A9;. Data were filtered from 0.2 to 256 Hz with a bandpass-filter of third order. Datasets were segmented into one second epochs for further analysis. Specifically, finger sequence data were segmented &#x000B1; 500 ms around the visual cue and lifting task data were segmented from 300 to 1300 ms after the &#x0201C;GO&#x0201D; cue. Eye-movement artifacts were removed employing an independent component analysis (Makeig et al., <xref ref-type="bibr" rid="B30">1996</xref>). Epochs containing electrode artifacts, muscle artifacts, head movements, or incompletely rejected blink artifacts were removed manually by visual inspection. In participants with great muscle artifacts a blind source separation-canonical correlation analysis was applied in order to correct these artifacts (De Clercq et al., <xref ref-type="bibr" rid="B12">2006</xref>) as implemented in the eeglab-plugin <italic>meegpipe</italic> (<ext-link ext-link-type="uri" xlink:href="https://github.com/meegpipe/meegpipe/">https://github.com/meegpipe/meegpipe/</ext-link>). Subsequently, data were re-referenced to a common average reference. Artifact rejection resulted in an overall number of &#x003BC; &#x0003D; 117/260, SD &#x0003D; 63/44 trials (elderly/young; Finger Sequence Task), &#x003BC; &#x0003D; 64/63, SD &#x0003D; 5/6 trials (elderly/young; Pinch Grip Task), and &#x003BC; &#x0003D; 74/73, SD &#x0003D; 4/8 trials (elderly/young; Whole Hand Grip Task).</p>
<p>Pre- and post-experimental baselines were pooled and subsequently divided into 2000 ms segments and preprocessed jointly as described above. The Fieldtrip toolbox (Oostenveld et al., <xref ref-type="bibr" rid="B35">2011</xref>) as well as custom written software using MATLAB Version 8.2.0 (R2013b, Mathworks Inc. Massachusetts) were used for EEG data analysis.</p>
</sec>
<sec>
<title>EEG data analysis</title>
<sec>
<title>Frequency analysis</title>
<p>Power spectra were calculated from 8 to 25 Hz in steps of 1 Hz applying a fast Fourier transformation using one Hanning taper for each electrode and trial. In order to account for inter-subject variability and decreasing power in higher frequencies, spectral power was expressed as the relative power (Pow<sub><italic>rel</italic></sub>) defined by the percentage of power change during movement (Pow<sub><italic>move</italic></sub>) compared to baseline (Pow<sub><italic>baseline</italic></sub>; Gerloff et al., <xref ref-type="bibr" rid="B19">1998</xref>; Pfurtscheller et al., <xref ref-type="bibr" rid="B37">2003</xref>). Pow<sub><italic>baseline</italic></sub>, was obtained from the preprocessed baseline data and averaged across segments afterwards. Subsequently, Pow<sub><italic>rel</italic></sub> was computed by:
<disp-formula id="E1"><label>(1)</label><mml:math id="M1"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mi>P</mml:mi><mml:mi>o</mml:mi><mml:msub><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>r</mml:mi><mml:mi>e</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>100</mml:mn><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x000D7;</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mfrac><mml:mrow><mml:mi>P</mml:mi><mml:mi>o</mml:mi><mml:msub><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi><mml:mi>o</mml:mi><mml:mi>v</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mi>P</mml:mi><mml:mi>o</mml:mi><mml:msub><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>b</mml:mi><mml:mi>a</mml:mi><mml:mi>s</mml:mi><mml:mi>e</mml:mi><mml:mi>l</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mi>P</mml:mi><mml:mi>o</mml:mi><mml:msub><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>b</mml:mi><mml:mi>a</mml:mi><mml:mi>s</mml:mi><mml:mi>e</mml:mi><mml:mi>l</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
Afterwards trials were averaged for each participant.</p>
</sec>
<sec>
<title>Spectral entropy</title>
<p>Spectral entropy is an uncertainty measure borrowed from information theory. Here, we apply the entropy as a mathematical concept to describe the flatness of the frequency spectrum, which is treated as a probability density after appropriate normalization. A uniform flat signal with a high variability and a broad spectral content results in a high spectral entropy (H&#x0007E;1), whereas a more predictable signal with a narrow, peaked power spectrum in a limited number of frequency bins yields a low spectral entropy (H&#x0007E;0). The spectral entropy is calculated by:
<disp-formula id="E2"><label>(2)</label><mml:math id="M2"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:mi>H</mml:mi><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mfrac><mml:mrow><mml:mo>-</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mo class="qopname">ln</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>N</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:mfrac><mml:mtext>&#x000A0;</mml:mtext><mml:mo>&#x02211;</mml:mo><mml:msub><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mtext>&#x000A0;ln</mml:mtext><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
with
<disp-formula id="E3"><label>(3)</label><mml:math id="M3"><mml:mtable columnalign="left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mo>|</mml:mo><mml:mi>P</mml:mi><mml:mi>o</mml:mi><mml:msub><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>r</mml:mi><mml:mi>e</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>|</mml:mo></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mo>&#x02211;</mml:mo></mml:mrow><mml:mrow><mml:mi>i</mml:mi></mml:mrow></mml:msub><mml:mi>P</mml:mi><mml:mi>o</mml:mi><mml:msub><mml:mrow><mml:mi>w</mml:mi></mml:mrow><mml:mrow><mml:mi>r</mml:mi><mml:mi>e</mml:mi><mml:mi>l</mml:mi></mml:mrow></mml:msub><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>i</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow><mml:mo>|</mml:mo></mml:mrow></mml:mfrac></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
and with <italic>Pow</italic><sub><italic>rel</italic></sub>(<italic>i</italic>) being the relative power of frequency bin <italic>i</italic> and N being equal to the number of frequency bins (Inouye et al., <xref ref-type="bibr" rid="B25">1991</xref>). In order to quantify the distribution of spectral power, we estimated the spectral entropy <italic>H</italic> in the broad frequency band between 8 and 25 Hz as well as in the frequency band showing greatest differences between the aged and young brain (13&#x02013;19 Hz). The spatial extent of differences <italic>H</italic> was evaluated by calculating <italic>H</italic> for each electrode separately.</p>
</sec>
<sec>
<title>Source analysis</title>
<p>Sensor data in the frequency band from 13 to 19 Hz were projected to source level in each sensor of each participant. The forward solution is constructed with a segmented template MRI brain (Holmes et al., <xref ref-type="bibr" rid="B23">1998</xref>) using the boundary element method and a template grid of 8 mm spacing (Oostenveld et al., <xref ref-type="bibr" rid="B35">2011</xref>). Individual electrode positions were determined using the Zebris localization system (CMS20, Zebris Medical GmbH, Isny, Germany) and realigned to the template MRI brain. A common filter for the frequency range from 13 to 19 Hz of movement period and baseline period was calculated based on the average real part of the cross-spectrum in that range using dynamic imaging of coherent sources (DICS; Gross et al., <xref ref-type="bibr" rid="B21">2001</xref>) with source orientation chosen to maximize power using the Fieldtrip Toolbox. The DICS beamformer uses a frequency domain implementation of a spatial filter. Subsequently, the contrast was computed expressing a relative change of power as described in Equation (1).</p>
</sec>
</sec>
<sec>
<title>Statistics</title>
<p>Firstly, it was the objective to analyze topographic age-group differences of the mean broadband power changes (8&#x02013;25 Hz) for each motor task separately. Topographic age-group differences were statistically tested using an unpaired student&#x00027;s <italic>t</italic>-test (relative power, normally distributed) or a Wilcoxon rank sum test (entropy, non-normally distributed) corrected for multiple comparisons (63 channels) controlling the false discovery rate (FDR; Benjamini et al., <xref ref-type="bibr" rid="B2">2001</xref>). Secondly, we tested age-group differences of single frequency bins over left sensorimotor cortex for each motor task separately, in order to demonstrate differences of the power distribution. Power distribution age-group differences were statistically tested using an unpaired student&#x00027;s <italic>t</italic>-test corrected for multiple comparisons (18 frequency bins) controlling the FDR (Benjamini et al., <xref ref-type="bibr" rid="B2">2001</xref>).</p>
<p>In addition, we estimated topographic age-group differences combining all participants of all three motor tasks in linear mixed effects models using R (CDT, <xref ref-type="bibr" rid="B5">2008</xref>) and lme4 (Bates et al., <xref ref-type="bibr" rid="B1">2015</xref>). The linear mixed effects models were calculated for entropy and relative power respectively. In order to correct for a potential influence of task, we entered task as a fixed effect. Participants were entered as a random intercept in order to correct for repeated testing. This model was calculated for each channel separately. We then extracted the <italic>p</italic>-value from our main effect of interest &#x0201C;group&#x0201D; and obtained 63 <italic>p</italic>-values (one per channel), which were then FDR corrected. Moreover, for <italic>post-hoc</italic> testing of task differences in young and elderly participants separately, we modeled the interaction of group and task to perform <italic>post-hoc</italic> testing using a pairwise comparison of least-square means.</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>Results</title>
<sec>
<title>Power amplitude differences between elderly and young participants</title>
<p>The topology of movement-related broadband power changes (8&#x02013;25 Hz) revealed a more widespread spatial distribution of desynchronization in the elderly compared to young participants in all three tasks (Figure <xref ref-type="fig" rid="F1">1A</xref>). This difference of power was significant in electrodes covering sensorimotor cortex as well as in more frontal electrodes (electrodes as marked in Figure <xref ref-type="fig" rid="F1">1A</xref>, FDR corr., <italic>p</italic> &#x0003C; 0.05). Further probing the distribution in single frequency bins in electrodes covering the left sensorimotor cortex (mean of electrodes: FC3, C3, CP3), elderly participants showed a greater movement-related power decrease in all frequency bins (Figure <xref ref-type="fig" rid="F1">1B</xref>). This difference was significant from 13 to 20 Hz for Task 1, from 15 to 17 Hz in Task 2, and from 13 to 22 Hz in Task 3. Please refer to Supplementary Tables <xref ref-type="supplementary-material" rid="SM1">1</xref>, <xref ref-type="supplementary-material" rid="SM1">2</xref> for <italic>t</italic>-test results and Supplementary Figure <xref ref-type="supplementary-material" rid="SM1">1</xref> for data distribution.</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p><bold>Power amplitude differences between elderly and young participants. (A)</bold> Topology of movement-related broadband power (8&#x02013;25 Hz) for elderly and young participants for each task separately, averaged over participants. Stars mark the significant electrodes (unpaired <italic>t</italic>-test, FDR corr., <italic>p</italic> &#x0003C; 0.05). <bold>(B)</bold> Power in each frequency bin for elderly (red) and young (blue) averaged over electrodes covering the contralateral sensorimotor cortex (as framed by the rectangle in <bold>A</bold>). Black dots mark a significant difference between both groups in the corresponding frequency bin (unpaired <italic>t</italic>-test, FDR corr., <italic>p</italic> &#x0003C; 0.05). The x-axis shows the frequency in Hz, the y-axis displays the relative power (%) to baseline for elderly (red) and young participants (blue) separately.</p></caption>
<graphic xlink:href="fnagi-08-00305-g0001.tif"/>
</fig>
<p>In order to identify responsible sources of oscillatory activity in the significant frequency band, we applied a beamforming technique. Figure <xref ref-type="fig" rid="F2">2</xref> displays the difference of movement-related power in the power band from 13 to 19 Hz between the aged and young brain, revealing that the aged brain recruits a more extended motor network of contralateral but also ipsilateral primary sensorimotor and secondary premotor areas including dorsal and ventral premotor cortex as well as the supplementary motor area (Figure <xref ref-type="fig" rid="F2">2</xref>).</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p><bold>Source localized power</bold>. The difference of movement-related source power (relative power<sub>elderly</sub> &#x02013; relative power<sub>young</sub>;13&#x02013;19 Hz) between elderly and young of the Finger Sequence Task and Pinch Grip Task is rendered on the cortical surface, displayed from a top and left-side view, masked by power.</p></caption>
<graphic xlink:href="fnagi-08-00305-g0002.tif"/>
</fig>
</sec>
<sec>
<title>Differences in spectral entropy of oscillations in elderly and young participants</title>
<p>The shape of the distribution of the power spectrum in all three motor tasks differed with age (Figure <xref ref-type="fig" rid="F1">1B</xref>). Whereas, in young participants, a clear and peaked modulation of movement-related power decrease in the alpha and upper beta band was evident (Figure <xref ref-type="fig" rid="F1">1B</xref>, blue bars), the aged brain displayed a more uniform flat curve of power decrease (Figure <xref ref-type="fig" rid="F1">1B</xref>, red bars). In order to mathematically quantify this disparity of spectral distribution, we calculated the spectral entropy <italic>H</italic> for elderly and young participants in each channel.</p>
<p>The group difference correcting for tasks and repeated testing of the same participants was assessed in linear mixed effect model for each channel separately. Figure <xref ref-type="fig" rid="F3">3A</xref> displays the estimated mean of the mixed model for each channel over the broadband spectrum from 8 to 25 Hz. Asterisks mark significant models with <italic>p</italic> &#x0003C; 0.05 (FDR corr.; for model results, please refer to Supplementary Tables <xref ref-type="supplementary-material" rid="SM1">3</xref>, <xref ref-type="supplementary-material" rid="SM1">4</xref>). The aged brain showed a higher spectral entropy <italic>H</italic> in electrodes covering frontal as well as sensorimotor areas. We further probed the spectral entropy in a more restricted frequency band (13&#x02013;19 Hz, Figure <xref ref-type="fig" rid="F3">3B</xref>) in which relative power showed greatest differences between groups. Hence, we confirmed a flatter more uniform frequency spectrum with a broader spectral content in the aged population compared to younger people during different fine skilled motor tasks.</p>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p><bold>Mixed model results (A)</bold> estimated mean power and entropy of the mixed effects model for each channel (8&#x02013;25 Hz). Stars mark the significant group effect of the mixed model (FDR corr., <italic>p</italic> &#x0003C; 0.05). <bold>(B)</bold> Estimated mean power and entropy of the mixed model for each channel (13&#x02013;19 Hz). Stars mark the significant group effect of the mixed model (FDR corr., <italic>p</italic> &#x0003C; 0.05).</p></caption>
<graphic xlink:href="fnagi-08-00305-g0003.tif"/>
</fig>
<p>When assessing entropy differences in each task separately (mean value of relative power, Figure <xref ref-type="fig" rid="F4">4</xref>), we find a similar pattern in each task, with greater spectral entropy in the aged compared to the young brain in electrodes covering frontal as well as contra- and ipsilateral sensorimotor areas. Figure <xref ref-type="fig" rid="F4">4</xref> revealed that differences between motor tasks were mainly driven by the young participants. Elderly participants showed a similar activation pattern in all three tasks, whereas in young participants the neuronal activation pattern differs depending on motor tasks&#x00027; complexity.</p>
<fig id="F4" position="float">
<label>Figure 4</label>
<caption><p><bold>Topology of movement-related power (left)</bold> and spectral entropy <bold>(right)</bold> between 13 and 19 Hz respectively for elderly and young participants for each individual task separately. Stars mark the significant electrodes between groups (unpaired <italic>t</italic>-test, FDR corr., <italic>p</italic> &#x0003C; 0.05).</p></caption>
<graphic xlink:href="fnagi-08-00305-g0004.tif"/>
</fig>
<p><italic>Post-hoc</italic> testing of task differences in the mixed effects model for the elderly and young group pointed toward differences in entropy between the Finger Sequence Task and the Pinch Grip and Whole Hand Grip Task in the young but not in the elderly participants (Figure <xref ref-type="fig" rid="F5">5</xref>).</p>
<fig id="F5" position="float">
<label>Figure 5</label>
<caption><p><bold><italic>Post</italic>-hoc analysis of task differences in elderly and young</bold>. Topographies display the estimated mean entropy of the mixed model for each channel (13&#x02013;19 Hz). Dots mark the significant difference of entropy within a group comparing Task 1, 2, and 3. Only young participants show a significant difference between the Finger Sequence Task and the Pinch Grip as well as Whole Hand Grip task (FDR corr., <italic>p</italic> &#x0003C; 0.05).</p></caption>
<graphic xlink:href="fnagi-08-00305-g0005.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>Discussion</title>
<p>This study characterizes differences in the spectral content of motor control in healthy aging. By using the concept of entropy, we quantified differences in the spectral distribution between the aged and young brain and found a higher spectral entropy with a flat, uniform distribution of power in the aged brain in various fine skilled motor tasks. Whereas, the young brain showed lower entropy and a distinct peaked movement-related power decrease in the alpha and upper beta band, the aged brain exhibited a larger movement-related decrease of power most pronounced in the low beta frequency band along with a wider recruitment of the cortical motor network involving premotor areas.</p>
<sec>
<title>Reduced frequency specificity of the aged brain</title>
<p>Movement execution leads to distinct event-related desynchronization in the alpha and upper beta band over contra- and ipsilateral sensorimotor areas (Pfurtscheller, <xref ref-type="bibr" rid="B36">1989</xref>; Crone et al., <xref ref-type="bibr" rid="B10">1998</xref>). In task-related studies, these frequency bands have been often used for analysis of movement specific oscillatory changes. These motor-task-related frequency bands, however, have been determined based on data in the young brain. In contrast, these bands might not correspond to movement-related changes in the aged brain, as supported by previous studies, indicating changes in oscillatory activity patterns across the lifespan. Apart from a larger magnitude of the movement-related desynchronization within sensorimotor areas (Sailer et al., <xref ref-type="bibr" rid="B43">2000</xref>; Mattay et al., <xref ref-type="bibr" rid="B31">2002</xref>), age-related changes comprise shifts in resting state peak alpha frequency (Klimesch, <xref ref-type="bibr" rid="B26">1999</xref>; Cottone et al., <xref ref-type="bibr" rid="B9">2013</xref>), a decrease of alpha reactivity (Ga&#x000E1;l et al., <xref ref-type="bibr" rid="B16">2010</xref>), as well as changes of the dominant oscillator with age (Deiber et al., <xref ref-type="bibr" rid="B15">2013</xref>). Hence, a priori knowledge on frequency specific bands as determined in the young brain might be arbitrary in the aged brain and might hinder the detection of distinct age-related oscillatory changes. For this reason, we characterized oscillatory changes by using the concept of spectral entropy allowing us to circumvent the analysis of restricted frequency bands predefined from the young brain. Thereby, we observed differences in the spectral distribution of movement-related desynchronization over a broad frequency band (8&#x02013;25 Hz) and found a widespread increase of spectral entropy during movement in the elderly compared to young, indicating that the movement-related broadband changes in the elderly are more variable and less predictable. This phenomenon was observed in three different fine motor skill tasks. The present finding underlines the notion that the increase of spectral entropy is a rather task unspecific phenomenon occurring during fine skilled motor control in the aged brain. Even though spectral entropy topographies showed differences in-between the Finger Sequence compared to the Pinch Grip and Whole Hand Grip task, these differences were solely derived from the young group. The aged brain on the other hand showed a uniform increase of entropy in all three tasks that did not statistically differ between tasks. One has to keep in mind, however, that in order to explicitly test, whether this difference of entropy over tasks was solely derived from the young group, one would have to conduct a crossover study, which includes execution of all three tasks in each participant.</p>
<p>Computational models of neuromodulation postulate that the aged brain exhibits deficient neuromodulatory mechanisms and consequently less distinctive neural pattern representations (Li and Sikstr&#x000F6;m, <xref ref-type="bibr" rid="B29">2002</xref>). Therefore, the increased spectral entropy could be a result of reduced coordination of enhanced synaptic activity of neuronal assemblies leading to greater variability of the neuronal responses. Correspondingly, increasing variability resulting in less consistent motor actions has been observed during healthy aging (Cooke et al., <xref ref-type="bibr" rid="B8">1989</xref>; Darling et al., <xref ref-type="bibr" rid="B11">1989</xref>; Contreras-Vidal et al., <xref ref-type="bibr" rid="B7">1998</xref>; Sosnoff and Newell, <xref ref-type="bibr" rid="B45">2011</xref>). On the one hand, the signal could be a result of inaccurate interregional neuronal communication leading to a breakdown of the frequency specificity, where the aged brain is not capable of keeping a certain frequency. Hence, the increased variability could be in line with the dedifferentiation of the aging brain (Deiber et al., <xref ref-type="bibr" rid="B15">2013</xref>). On the other hand, the broadening of the frequency band could ensure to preserve the balance between energy consumption and entropy of the neural signal. Tsubo et al. have postulated that with higher uncertainty of the neural responses, the brain reduces the amount of energy necessary (Tsubo et al., <xref ref-type="bibr" rid="B48">2012</xref>). Moreover, high variability of a signal has been suggested to result in an increase of performance and might be beneficial (Garrett et al., <xref ref-type="bibr" rid="B17">2013</xref>). Hence, the increase of entropy could be a compensating mechanism to account for a decline of motor performance. In line Hanslmayr et al. speculated that higher neuronal desynchronization presents a greater richness of information, measured by the entropy and consider it as one mechanism serving memory encoding (Hanslmayr et al., <xref ref-type="bibr" rid="B22">2012</xref>). We cannot, however, definitely infer whether a higher entropy is a reflection of random noise-like activity or if the irregular pattern is a compensatory mechanism that serves a functional role. Hence, higher entropy could mean that either more information is sent, or that more noise-like random activity is produced and sent. Further research will have to address this important issue, especially to determine its functional implication on behavior.</p>
</sec>
<sec>
<title>Enhanced spatial recruitment in the aged brain</title>
<p>Several functional imaging and EEG studies have reported a more extended recruitment of brain areas during movement in the aged brain (Sailer et al., <xref ref-type="bibr" rid="B43">2000</xref>; Mattay et al., <xref ref-type="bibr" rid="B31">2002</xref>; Wu and Hallett, <xref ref-type="bibr" rid="B53">2005</xref>; Naccarato et al., <xref ref-type="bibr" rid="B33">2006</xref>; Rowe et al., <xref ref-type="bibr" rid="B42">2006</xref>; Vallesi et al., <xref ref-type="bibr" rid="B49">2010</xref>; Deiber et al., <xref ref-type="bibr" rid="B15">2013</xref>). In line, we found activations in an extended motor network including bilateral primary motor and sensory areas as well as ipsilateral premotor areas, namely, dorsal and ventral premotor cortex, pre- and supplementary motor areas (Figure <xref ref-type="fig" rid="F2">2</xref>), most pronounced in the lower beta frequency band. The over-recruitment of brain areas might lead to more potential network configurations with higher noise interferences and hence greater variability of states giving rise to the unspecific frequency distribution of movement-related power changes determined here. The cause of this over-recruitment could be either compensation with greater recruitment of secondary motor areas, because of the subjective increase of task-related complexity, in order to achieve the same motor output (Zimerman et al., <xref ref-type="bibr" rid="B54">2014</xref>), or an increase of the attentional load (Reuter-Lorenz and Cappell, <xref ref-type="bibr" rid="B40">2008</xref>), or due to inefficient activations with reduced selectivity of neuronal networks and less distinct activation patterns (Li and Lindenberger, <xref ref-type="bibr" rid="B28">1999</xref>; Riecker et al., <xref ref-type="bibr" rid="B41">2006</xref>). However, this question cannot be definitely answered by this study, mostly because it lacks a functional outcome parameter (for a review see Grady, <xref ref-type="bibr" rid="B20">2012</xref>).</p>
</sec>
<sec>
<title>Possible mechanisms of dynamical changes during healthy aging</title>
<p>The high variability of the spectral content along with the over-recruitment of secondary motor areas might be, on the one hand, a result of a decrease in selective local inhibition with greater background activity. On the other hand, a reduced selectivity of the network could be the consequence of a more general inhibition deficiency due to age-related structural and functional changes of the frontal cortex (Tisserand and Jolles, <xref ref-type="bibr" rid="B47">2003</xref>; Rajah and D&#x00027;Esposito, <xref ref-type="bibr" rid="B39">2005</xref>). Moreover, a reduction of specific regulatory thalamic input could result in less distinct cortical activations. In Parkinson patients research has demonstrated the modulating influence of the basal ganglia-thalamocortical network on cortical oscillation patterns and motor control (de Hemptinne et al., <xref ref-type="bibr" rid="B13">2013</xref>, <xref ref-type="bibr" rid="B14">2015</xref>). These influences can be either of structural nature or can be evoked by intrinsic changes of synaptic properties. Furthermore, disrupted network dynamics might be a result of more subtle changes (McCarthy et al., <xref ref-type="bibr" rid="B32">2012</xref>; Kopell et al., <xref ref-type="bibr" rid="B27">2014</xref>; Voytek and Knight, <xref ref-type="bibr" rid="B50">2015</xref>), such as neurochemical shifts and changes in synaptic binding potentials and receptor density. Future studies will have to further determine the underlying cause of oscillatory alterations in the aged brain.</p>
<p>In summary, the aged brain exhibits a broadband, frequency-unspecific power desynchronization during movement as reflected by an increase of spectral entropy, revealing a less predictable signal with great variability across frequencies in a wide cortical motor network.</p>
</sec>
</sec>
<sec id="s5">
<title>Author contributions</title>
<p>FQ conducted the research, analyzed the data, and drafted the manuscript. MB conducted the research, was involved in data analysis, revised the manuscript. RS, JT, MZ, GN were involved in data acquisition and analysis, revision of the manuscript. FH developed the experimental idea, involved in drafting and revising of the manuscript.</p>
</sec>
<sec id="s6">
<title>Funding</title>
<p>This research was supported by the German Research Foundation (DFG, SFB 936-C4 to FH and Z3 to GN) and the German Ministry of Science (BMBF, 01GQ1424B to FH).</p>
<sec>
<title>Conflict of interest statement</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
</sec>
</body>
<back>
<ack><p>We thank Meike Mund for her help on data collection.</p>
</ack>
<sec sec-type="supplementary-material" id="s7">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="http://journal.frontiersin.org/article/10.3389/fnagi.2016.00305/full#supplementary-material">http://journal.frontiersin.org/article/10.3389/fnagi.2016.00305/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="DataSheet1.DOCX" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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