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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Psychiatry</journal-id>
<journal-title>Frontiers in Psychiatry</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Psychiatry</abbrev-journal-title>
<issn pub-type="epub">1664-0640</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpsyt.2025.1627267</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Psychiatry</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Post-discharge use of opioids, psychostimulants, and treatment medications following residential opioid discontinuation with NET Device&#x2122; monotherapy</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Greenwald</surname>
<given-names>Mark K.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>*</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1907835/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/project-administration/"/>
<role content-type="https://credit.niso.org/contributor-roles/supervision/"/>
<role content-type="https://credit.niso.org/contributor-roles/visualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Arfken</surname>
<given-names>Cynthia L.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2970512/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Winston</surname>
<given-names>Joe R.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2867266/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
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<role content-type="https://credit.niso.org/contributor-roles/software/"/>
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</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Department of Psychiatry and Behavioral Neurosciences, Wayne State University School of Medicine</institution>, <addr-line>Detroit, MI</addr-line>, <country>United States</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>NET Recovery Corp.<sup>&#x2122;</sup>(NRC)</institution>, <addr-line>Wilmington, DE</addr-line>, <country>United States</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/189827/overview">Carlos Roncero</ext-link>, University of Salamanca, Spain</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Jo&#xe3;o Carlos Alchieri, Federal University of Rio Grande do Norte, Brazil</p>
<p>Francisco Gonz&#xe1;lez-Saiz, Servicio Andaluz de Salud, Spain</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Mark K. Greenwald, <email xlink:href="mailto:mgreen@med.wayne.edu">mgreen@med.wayne.edu</email>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>15</day>
<month>10</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>16</volume>
<elocation-id>1627267</elocation-id>
<history>
<date date-type="received">
<day>12</day>
<month>05</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>19</day>
<month>09</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Greenwald, Arfken and Winston.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Greenwald, Arfken and Winston</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) and the copyright owner(s) 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>
<sec>
<title>Background</title>
<p>Medical devices offer an established therapeutic approach for managing the transition from polysubstance use to abstinence, but little is known about longer-term outcomes.</p>
</sec>
<sec>
<title>Aim</title>
<p>Determine opioid and psychostimulant use over 12 weeks post-discharge following residential use of the NET Device&#x2122; or sham among participants with opioid use disorder (OUD).</p>
</sec>
<sec>
<title>Design</title>
<p>Twelve-week observation following randomized controlled trial of active NET Device (n&#xa0;=&#xa0;53) versus sham (n&#xa0;=&#xa0;55) as monotherapy during residential opioid discontinuation in 103 participants who completed &gt;1 post-discharge interview (95% follow-up rate).</p>
</sec>
<sec>
<title>Setting and participants</title>
<p>Adults with OUD (50.0% with psychostimulant use) recruited at admission from 4 residential addiction treatment facilities in Kentucky.</p>
</sec>
<sec>
<title>Measures</title>
<p>Percentage of days using illicit opioids and psychostimulants as well as medications for OUD (MOUD) from weekly timeline follow-back interviews.</p>
</sec>
<sec>
<title>Results</title>
<p>Active and sham device groups reported similar rates of MOUD use and illicit opioid and psychostimulant use. In a planned secondary analysis, participants who self-administered active stimulation &gt;24 hours (n&#xa0;=&#xa0;23) compared to active &lt;24 hours (n&#xa0;=&#xa0;25), sham &gt;24 hours (n&#xa0;=&#xa0;21), and sham &lt;24 hours (n&#xa0;=&#xa0;34) reported significantly (p&#xa0;&lt;.05) lower percentages of days using opioids (1.4% vs 7.4%, 6.8%, and 4.4% respectively) and psychostimulants (1.3% vs 4.1%, 6.7%, and 4.3% respectively) and MOUD (1.2% vs 20.7%, 11.3%, and 16.7% respectively).</p>
</sec>
<sec>
<title>Conclusions</title>
<p>The randomized groups did not differ on outcomes. However, participants who self-administered active NET Device stimulation &gt;24 hours reported significantly fewer post-discharge days of opioid or psychostimulant use than those who self-administered active &lt;24 hours or sham, but these findings need to be replicated.</p>
<p>Clinical Trial Registration: ClinicalTrials.gov, identifier NCT04916600.</p>
</sec>
</abstract>
<kwd-group>
<kwd>NET Device</kwd>
<kwd>tACS</kwd>
<kwd>opioid</kwd>
<kwd>psychostimulant</kwd>
<kwd>polysubstance</kwd>
<kwd>medication</kwd>
<kwd>MOUD</kwd>
</kwd-group>
<counts>
<fig-count count="5"/>
<table-count count="5"/>
<equation-count count="0"/>
<ref-count count="43"/>
<page-count count="12"/>
<word-count count="6002"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Addictive Disorders</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<title>Introduction</title>
<p>High rates of nonmedical/illicit opioid use and opioid use disorder (OUD) have adversely impacted societal, health and economic welfare across North America (<xref ref-type="bibr" rid="B1">1</xref>&#x2013;<xref ref-type="bibr" rid="B6">6</xref>). In recent years, these problems have been exacerbated by exposure to synthetic opioids and psychostimulants (<xref ref-type="bibr" rid="B7">7</xref>&#x2013;<xref ref-type="bibr" rid="B13">13</xref>). The unprecedented burden of opioid-related overdose deaths (<xref ref-type="bibr" rid="B14">14</xref>) and emergency department visits (<xref ref-type="bibr" rid="B15">15</xref>, <xref ref-type="bibr" rid="B16">16</xref>) has motivated assertive and widespread initiatives to combat this crisis.</p>
<p>Despite this urgency, OUD treatment involvement in the US remains low. In 2021, about 2.5 million adults had past-year OUD, yet only 35.6% received any past-year treatment (<xref ref-type="bibr" rid="B17">17</xref>) and, due to systemic barriers (<xref ref-type="bibr" rid="B18">18</xref>&#x2013;<xref ref-type="bibr" rid="B21">21</xref>), use of medications for OUD (MOUD) was only 22.2% (<xref ref-type="bibr" rid="B17">17</xref>). There is sociodemographic variation in who receives MOUD: those more likely to receive MOUD have more severe past-year OUD, receive treatment via telehealth, live in metropolitan areas, report family income &lt;$50,000, are male and non-Hispanic White (<xref ref-type="bibr" rid="B17">17</xref>). Moreover, a sizable &#x2013; but not yet well-estimated &#x2013; proportion of patients entering OUD treatment express reservations about MOUD (e.g. side effects, inconvenience, stigma, expected long duration of treatment) and express curiosity about non-medication interventions for transitioning to longer-term abstinence (<xref ref-type="bibr" rid="B22">22</xref>&#x2013;<xref ref-type="bibr" rid="B27">27</xref>), although presently such options are sparse. This gap between the desire for non-MOUD treatment and available alternatives could lead many OUD patients to avoid or drop out of otherwise lifesaving treatment.</p>
<p>Medical devices offer an emerging alternative therapeutic approach that could be useful in managing the transition from illicit opioid use to abstinence (<xref ref-type="bibr" rid="B28">28</xref>). To date, developmental efforts have focused on devices that can attenuate withdrawal discomfort during residential opioid discontinuation (<xref ref-type="bibr" rid="B29">29</xref>, <xref ref-type="bibr" rid="B30">30</xref>). However, little is known about what happens post-discharge. NeuroElectric Therapy&#x2122; (NET<sup>&#xae;</sup>) is an FDA-cleared transcranial alternating current stimulation (tACS) neurostimulation modality for rapidly attenuating opioid withdrawal symptoms in persons with OUD, with and without comorbid polysubstance use, undergoing opioid discontinuation (<xref ref-type="bibr" rid="B31">31</xref>).</p>
<p>Earlier-generation versions of this device were studied in the inpatient setting as a monotherapy for medication-free discontinuation from substance use (<xref ref-type="bibr" rid="B32">32</xref>&#x2013;<xref ref-type="bibr" rid="B35">35</xref>). After inpatient NET use, completers in those studies who could be followed post-discharge (49 out of 116 participants) underwent drug testing. Approximately 85% of them tested negative for illicit opioids, methadone, and buprenorphine and 98% tested negative for cocaine and methamphetamines (NET Recovery Corp., unpublished data). However, attrition was high, and participants knew the treatment they had received.</p>
<p>To provide more compelling data, we designed (<xref ref-type="bibr" rid="B36">36</xref>) and conducted a randomized, sham-controlled, blinded clinical trial that showed randomization to the active NET Device led to significant decreases in opioid withdrawal severity during residential opioid discontinuation (<xref ref-type="bibr" rid="B31">31</xref>). However, that report did not answer what happened to the participants after they left the residential treatment facility. This trial also prospectively planned a 12-week post-discharge follow-up period to measure longer-term outcomes.</p>
<p>For this observational study, we hypothesized that the group randomized to active stimulation during the residential period would report less-frequent use of illicit opioids and psychostimulants without use of MOUD compared to sham stimulation during the post-discharge period. The purpose of including non-use of MOUD in our outcome definition is to provide a rigorous and more conservative estimate of NET Device efficacy as a monotherapy. In prior open-label studies, participants have varied widely in the duration of their device stimulation, with some indication that extended use might offer greater benefit (NET Recovery Corp., unpublished data). Therefore, a secondary hypothesis was that participants who self-administered active stimulation longer would report greater reductions in opioid and psychostimulant use without the assistance of MOUD compared to other participants.</p>
</sec>
<sec id="s2">
<title>Methods</title>
<sec id="s2_1">
<title>Study design</title>
<p>This was a 12-week prospective, observational period following a clinical trial (NCT04916600) described elsewhere (<xref ref-type="bibr" rid="B36">36</xref>). Briefly, the clinical trial was a double-blind, randomized, stratified by sex, single-site trial at four facilities to compare whether active device stimulation led to greater reduction in withdrawal symptom severity during residential opioid discontinuation (<xref ref-type="bibr" rid="B31">31</xref>).</p>
<p>The trial was originally designed and powered to detect an effect of active versus sham device use on post-discharge substance use as the primary efficacy endpoint. However, following FDA discussion, it was decided to seek device clearance through the 510(k) pathway for opioid withdrawal reduction during the residential period (<xref ref-type="bibr" rid="B37">37</xref>). Although the clinical trial was limited to the first hour of the intervention, the post-discharge prospective, blinded monitoring was maintained.</p>
</sec>
<sec id="s2_2">
<title>Procedures</title>
<p>For the clinical trial, all participants were screened, enrolled, and underwent evaluation at four (two male, two female) residential addiction treatment facilities within the same organization with typical length of stays of 28 days. Senior management, therapists, nursing staff, and core services were common across all locations. The admissions process, medical and clinical assessments occurred separately for males and females at their respective facilities.</p>
<p>For ethical reasons and to promote feasibility, recruitment and screening occurred as quickly as possible after admission, prior to the emergence of moderate-severity opioid withdrawal signs/symptoms. Screening included obtaining informed consent, HIPAA authorization, assessment of demographics, contact data, physical exam, pregnancy testing, contraception methods, medical and drug history, and urine drug testing.</p>
<p>During the recruitment and informed consent process, participants were repeatedly told they could receive FDA-approved MOUD at the treatment facility instead of participating in the study. They were also told that upon discontinuation of device stimulation, or if they dropped out of the study, they could receive MOUD at any time. Participants were told that device use (active or sham treatment) would be self-administered, that they could discontinue device use at any time and for any reason, and they could receive MOUD and comfort medications.</p>
<p>Patients admitted for OUD, between the ages 18&#x2013;65 years old, in good general health, seeking to discontinue their illicit opioid use at the treatment facility, self-reporting that they wished to become abstinent without using MOUD, were eligible to participate. All participants provided informed consent and agreed to follow study procedures and use medically accepted highly effective contraception. Prior to receiving either active or sham treatment, all participants who enrolled had to exhibit at least moderate withdrawal severity, operationally defined as a total score of &gt;13 on the Clinical Opiate Withdrawal Scale (COWS) (<xref ref-type="bibr" rid="B38">38</xref>). Exclusion criteria included pregnancy or lactation, serious current psychiatric disorder (schizophrenia, bipolar) or use of neuropsychiatric medications that may overlap with NET&#x2019;s proposed mechanisms of action (e.g. anxiolytics, antidepressants, anticonvulsants, sedating histamine-1-receptor antihistamines, prescription or over-the-counter stimulants), need for detoxification from alcohol or benzodiazepines, past 300-day exposure to extended-release buprenorphine, certain chronic illnesses (especially seizures), unstable medical conditions, or presence of cardiac pacemaker.</p>
<p>All participants received the same clinical care as all patients in the facilities, which did not include planned psychosocial interventions following discharge. At discharge, participants were advised about their increased risk for opioid overdose (due to loss of opioid tolerance during the residential stay) and were provided with naloxone and trained in how to use it. The participants were not told whether they received active or sham intervention.</p>
</sec>
<sec id="s2_3">
<title>NET Device treatment</title>
<p>The NET Device delivers alternating current via surface electrodes placed transcranially (bilaterally) on the mastoid processes. The device delivers multiple low-amperage waveforms at controlled frequencies that vary throughout each treatment day, with no net direct current component.</p>
<p>In prior clinical studies, the output waveform was optimized for dynamic variations in skin impedance, electrode conductance, frequency and pulse-width related sensation, and orthogonal electrode pressure (e.g. from head pressure when sleeping), leading to improved rates of patient tolerability. Furthermore, human and animal studies, and clinical observation, have identified different electronic waveforms corresponding to subtypes of polysubstance use. These waveforms were programmed into the device at treatment entry based on each participant&#x2019;s drug screen results at the time of treatment initiation. Stimulation was continuously available (except when bathing) for up to 7 days via transcutaneous electrodes of size approximately 1cm x 2cm. Stimulation output frequency varied from 4 to 3000&#xa0;Hz and pulse width from 7 to 750 microseconds. Stimulation output current varied from 0 to 3.2 mA (peak) into a 15 kOhm load, and output voltage varied from 0 to 44 volts (peak to peak). Treatment was self-administered, and participants were instructed that they could control the device output intensity and duration according to perceived benefit. In prior studies, device output intensity has not been found to exhibit a significant relationship with withdrawal severity (NET Recovery Corp., unpublished data).</p>
</sec>
<sec id="s2_4">
<title>Sham treatment</title>
<p>Sham treatment, to control for placebo effects, was designed to minimize treatment assignment recognition by the sponsor, principal investigator, independent study monitor, participants, research assistants, and treatment staff. The active and sham interventions both used the NET Device, but the sham intervention used lead wires that (although visually the same as active wires) were rendered non-conductive beforehand, preventing any electrical stimulation from being delivered to the participant.</p>
<p>Participants in the active and sham arms received identical instructions, equipment, electrode attachment methods and locations, and daily reviews of device operation. The apparatus presented both active- and sham-assigned participants with visual cues from the device&#x2019;s &#x201c;heartbeat&#x201d; indicator (a blinking green light-emitting diode which indicated the device was active) during treatment. Research staff instructed each participant that the equipment was designed to be self-administered, that s/he could set the level of stimulation wherever it is comfortable, that stimulation is not always (and does not need to be) sensate, and that device use could be discontinued when the participant felt it was not providing additional benefit.</p>
</sec>
<sec id="s2_5">
<title>Measures</title>
<p>A research assistant used a 7-day timeline follow-back (TLFB) during a weekly video call to probe for substance use. TLFB reports were specific for MOUD (methadone, buprenorphine or naltrexone, which would be expected to lower opioid use), opioids without a prescription, psychostimulants (methamphetamine without a prescription, cocaine), and sedatives. These self-reported days of use were examined as percentage of total follow-up time (84 days).</p>
<p>Additional measures included demographic (sex, age, race) and clinical variables (length of residential stay, primary substance use disorder), randomization group, and duration of device use (obtained from internal device statistic in 5-min intervals). Based on the observed non-normal distribution of duration of device use, this variable was dichotomized as &gt;24 hr and &lt;24 hr of device use leading to four groups to maximize numbers in each subgroup: Active &gt;24 hr, Active &lt;24 hr, Sham &gt;24 hr, and Sham &lt;24 hr.</p>
</sec>
<sec id="s2_6">
<title>Statistical analysis</title>
<p>All participants who completed the trial (N&#xa0;=&#xa0;108) were monitored during the follow-up period. Five participants who failed to complete a follow-up interview were not included in the analysis.</p>
<p>The primary analysis contrasted the groups randomized to active versus sham stimulation during the residential period for participation in post-discharge follow-up, completeness of data, and for outcomes using <italic>t</italic>-tests for continuous outcomes and <italic>chi</italic>-square for categorical outcomes. Subgroup analysis then dichotomized each randomization group by duration of device use (Active &gt;24 hr, Active &lt;24 hr, Sham &gt;24 hr, and Sham &lt;24 hr). When assumptions of normality were not met, nonparametric tests were used. Covariates included randomization group, duration of device use, and the demographic and clinical variables noted above.</p>
<p>Missing data for participants with any follow-up data were imputed as positive for substance use. In sensitivity analysis, Monte Carlo simulation was used to impute missing data based on observed means (<xref ref-type="bibr" rid="B39">39</xref>). Five passes were conducted with the outcomes averaged.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<title>Results</title>
<sec id="s3_1">
<title>Participant characteristics</title>
<p>A total of 108 participants (53 active NET and 55 sham; 59.3% male, 89.8% white; 71.3% fentanyl-positive, and 50.0% psychostimulant [mostly methamphetamine] UDS at screening) completed the clinical trial and were eligible for the follow-up. Five participants randomized to the active device arm were lost to follow-up (3 incarcerated, 1 lost to follow-up, and 1 protocol violation treated as unblinded compassionate care), but no one in the sham device arm. They did not differ demographically or clinically from those who completed at least one follow-up interview. <xref ref-type="table" rid="T1">
<bold>Table&#xa0;1</bold>
</xref> presents their demographic and clinical characteristics at admission. <xref ref-type="table" rid="T2">
<bold>Table&#xa0;2</bold>
</xref> presents demographic and clinical characteristics of the four subgroups, who completed at least one post-discharge interview. The demographics of the four subgroups did not significantly differ, as we previously found for the two randomized groups (<xref ref-type="bibr" rid="B31">31</xref>).</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Demographics and clinical characteristics of participants completing at least one timeline followback (TLFB) interview or lost to follow-up.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="left">Measure</th>
<th valign="middle" colspan="2" align="center">Completed at least one TLFB (103/108, 95.4%)</th>
<th valign="middle" colspan="2" align="center">Lost to follow-up (5/108, 4.6%)</th>
</tr>
<tr>
<th valign="middle" align="center">n or mean</th>
<th valign="middle" align="center">Row % or SD</th>
<th valign="middle" align="center">n or mean</th>
<th valign="middle" align="center">Row % or SD</th>
</tr>
</thead>
<tbody>
<tr>
<th valign="middle" colspan="5" align="left">Demographics</th>
</tr>
<tr>
<td valign="middle" align="left">Age (years)</td>
<td valign="middle" align="center">33.9</td>
<td valign="middle" align="center">8.4</td>
<td valign="middle" align="center">37.4</td>
<td valign="middle" align="center">6.8</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Male</td>
<td valign="middle" align="center">62</td>
<td valign="middle" align="center">60.2%</td>
<td valign="middle" align="center">2</td>
<td valign="middle" align="center">40.0%</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Female</td>
<td valign="middle" align="center">41</td>
<td valign="middle" align="center">39.8%</td>
<td valign="middle" align="center">3</td>
<td valign="middle" align="center">60.0%</td>
</tr>
<tr>
<th valign="middle" colspan="5" align="left">Race</th>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;White only</td>
<td valign="middle" align="center">92</td>
<td valign="middle" align="center">89.3%</td>
<td valign="middle" align="center">5</td>
<td valign="middle" align="center">100.0%</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Black only</td>
<td valign="middle" align="center">6</td>
<td valign="middle" align="center">5.8%</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">&#x2013;</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Other</td>
<td valign="middle" align="center">5</td>
<td valign="middle" align="center">4.9%</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">&#x2013;</td>
</tr>
<tr>
<td valign="middle" align="left">Hispanic or Latino Ethnicity</td>
<td valign="middle" align="center">3</td>
<td valign="middle" align="center">2.9%</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">&#x2013;</td>
</tr>
<tr>
<th valign="middle" colspan="5" align="left">Clinical characteristics</th>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Active &#x2265;24 hours</td>
<td valign="middle" align="center">23</td>
<td valign="middle" align="center">22.3%</td>
<td valign="middle" align="center">2</td>
<td valign="middle" align="center">40.0%</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Active &lt;24 hours</td>
<td valign="middle" align="center">25</td>
<td valign="middle" align="center">24.3%</td>
<td valign="middle" align="center">3</td>
<td valign="middle" align="center">60.0%</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Sham &#x2265;24 hours</td>
<td valign="middle" align="center">21</td>
<td valign="middle" align="center">20.4%</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">&#x2013;</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Sham &lt;24 hours</td>
<td valign="middle" align="center">34</td>
<td valign="middle" align="center">33.0%</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">&#x2013;</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Demographics and clinical characteristics of participants by subgroup.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" rowspan="2" align="left">Measure</th>
<th valign="middle" colspan="2" align="center">Active &#x2265;24 hr</th>
<th valign="middle" colspan="2" align="center">Active &lt;24 hr</th>
<th valign="middle" colspan="2" align="center">Sham &#x2265;24 hr</th>
<th valign="middle" colspan="2" align="center">Sham &lt;24 hr</th>
</tr>
<tr>
<th valign="middle" align="center">n or mean</th>
<th valign="middle" align="center">Row % or SD</th>
<th valign="middle" align="center">n or mean</th>
<th valign="middle" align="center">Row % or SD</th>
<th valign="middle" align="center">n or mean</th>
<th valign="middle" align="center">Row % or SD</th>
<th valign="middle" align="center">n or mean</th>
<th valign="middle" align="center">Row % or SD</th>
</tr>
</thead>
<tbody>
<tr>
<th valign="middle" colspan="9" align="left">Demographics</th>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Completed at least one TLFB</td>
<td valign="middle" align="center">23</td>
<td valign="middle" align="center">22.3%</td>
<td valign="middle" align="center">25</td>
<td valign="middle" align="center">24.3%</td>
<td valign="middle" align="center">21</td>
<td valign="middle" align="center">20.4%</td>
<td valign="middle" align="center">34</td>
<td valign="middle" align="center">33.0%</td>
</tr>
<tr>
<th valign="middle" colspan="9" align="left">Sex</th>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Male</td>
<td valign="middle" align="center">12</td>
<td valign="middle" align="center">52.2%</td>
<td valign="middle" align="center">17</td>
<td valign="middle" align="center">68.0%</td>
<td valign="middle" align="center">9</td>
<td valign="middle" align="center">42.9%</td>
<td valign="middle" align="center">24</td>
<td valign="middle" align="center">70.6%</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Female</td>
<td valign="middle" align="center">11</td>
<td valign="middle" align="center">47.8%</td>
<td valign="middle" align="center">8</td>
<td valign="middle" align="center">32.0%</td>
<td valign="middle" align="center">12</td>
<td valign="middle" align="center">57.1%</td>
<td valign="middle" align="center">10</td>
<td valign="middle" align="center">29.4%</td>
</tr>
<tr>
<th valign="middle" colspan="9" align="left">Race</th>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;White only</td>
<td valign="middle" align="center">21</td>
<td valign="middle" align="center">91.3%</td>
<td valign="middle" align="center">22</td>
<td valign="middle" align="center">88.0%</td>
<td valign="middle" align="center">19</td>
<td valign="middle" align="center">90.5%</td>
<td valign="middle" align="center">30</td>
<td valign="middle" align="center">88.2%</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Black only</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">4.3%</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">4.0%</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">4.8%</td>
<td valign="middle" align="center">3</td>
<td valign="middle" align="center">8.8%</td>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Other</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">4.3%</td>
<td valign="middle" align="center">2</td>
<td valign="middle" align="center">8.0%</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">4.8%</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">2.9%</td>
</tr>
<tr>
<td valign="middle" align="left">Hispanic or Latino Ethnicity</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">4.3%</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">0.0%</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">4.8%</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">2.9%</td>
</tr>
<tr>
<th valign="middle" colspan="9" align="left">Clinical characteristics</th>
</tr>
<tr>
<td valign="middle" align="left">&#x2003;Device use (hours)</td>
<td valign="middle" align="center">83.1</td>
<td valign="middle" align="center">38.9</td>
<td valign="middle" align="center">8.9</td>
<td valign="middle" align="center">8.5</td>
<td valign="middle" align="center">67.9</td>
<td valign="middle" align="center">40.3</td>
<td valign="middle" align="center">6.7</td>
<td valign="middle" align="center">7.5</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3_2">
<title>Opioid or psychostimulant use</title>
<p>The mean &#xb1; 1 standard deviation (SD) percentage of days using opioids or psychostimulants (with missing values for patient reports imputed as &#x201c;positive for use&#x201d;) for Active (36.3&#xa0;&#xb1;&#xa0;34.7%) versus Sham (39.1&#xa0;&#xb1;&#xa0;32.6%) over the total 84-day post-discharge period did not significantly differ (<italic>t</italic>&#xa0;= .425, <italic>p</italic>&gt;.10). When comparing percentage use-days for the four subgroups over the entire post-discharge period, the Active &gt;24 hr group reported numerically but non-significantly fewer mean use-days (1.3&#xa0;&#xb1;&#xa0;3.4%) than Active &lt;24 hr (4.8&#xa0;&#xb1;&#xa0;10.8%), Sham &gt;24 hr (4.7&#xa0;&#xb1;&#xa0;15.0%), and Sham &lt;24 hr (4.8&#xa0;&#xb1;&#xa0;11.2%) groups, Kruskal-Wallis <italic>H</italic>(3)=0.87, <italic>p</italic>&gt;.05.</p>
<p>Rates of concurrent weekly use of opioids and psychostimulants (i.e. using both drugs at least once during the same post-discharge week) were numerically but not significantly lower in the Active group (2.4% concurrent use-weeks) than Sham (4.2%, Fisher&#x2019;s exact test <italic>p</italic>&#xa0;= .192, two-tailed). Rates of concurrent weekly use were numerically but not significantly lower in the Active &gt;24 hr group (1.0%) than Active &lt;24 hr (3.8%, Fisher&#x2019;s exact test <italic>p</italic>&#xa0;= .055, two-tailed) and significantly lower than Sham &gt;24 hr (6.8%, Fisher&#x2019;s exact test <italic>p</italic>&#xa0;= .002, two-tailed), but not significantly different than Sham &lt;24 hr (2.6%, Fisher&#x2019;s exact test <italic>p</italic>&#xa0;= .314, two-tailed).</p>
</sec>
<sec id="s3_3">
<title>MOUD use</title>
<p>Given that post-discharge MOUD use could lead to decreased illicit opioid use, we first examined the percentage of MOUD use for the two randomized groups and four subgroups during the post-discharge period. The average percentage of days using MOUD (with missing values for patient reports imputed as &#x201c;positive for use&#x201d;) for Active (40.8&#xa0;&#xb1;&#xa0;34.2%) versus Sham (43.3&#xa0;&#xb1;&#xa0;33.9%) over the total 84-day post-discharge period did not significantly differ (<italic>t</italic>&#xa0;=&#xa0;-.367, <italic>p</italic>&#xa0;= .714). When comparing percentage use-days for the four subgroups, Active &gt;24 hr reported numerically but non-significantly fewer mean use-days (0.7&#xa0;&#xb1;&#xa0;3.3%) than Active &lt;24 hr (12.7&#xa0;&#xb1;&#xa0;23.6%), Sham &gt;24 (6.0&#xa0;&#xb1;&#xa0;18.8%), and Sham &lt;24 hr (9.6&#xa0;&#xb1;&#xa0;21.7%), Kruskal-Wallis <italic>H</italic>(3)=6.46, <italic>p</italic>&#xa0;= .087.</p>
</sec>
<sec id="s3_4">
<title>Per-patient opioid or psychostimulant use without MOUD</title>
<p>The average percentage of days using opioids or psychostimulants (with missing values for patient reports imputed as &#x201c;positive for use&#x201d;) for Active (44.5&#xa0;&#xb1;&#xa0;35.3%) versus Sham (48.9&#xa0;&#xb1;&#xa0;34.9%) over the total 84-day post-discharge period did not significantly differ (<italic>t</italic>&#xa0;=&#xa0;-.635, <italic>p</italic>&#xa0;= .526). However, the percentage of use-days significantly differed by subgroup, Kruskal-Wallis <italic>H</italic>(3)=10.05, <italic>p</italic>&#xa0;= .012. Pairwise comparisons using Mann-Whitney <italic>U</italic> tests indicated that the Active &gt;24 hr group reported significantly less-frequent use (mean=2.0 days, median=0 days) than both Active &lt;24 hr (mean=17.5 days, median=6 days, <italic>U</italic>&#xa0;=&#xa0;138.5, <italic>z</italic>&#xa0;=&#xa0;-3.08, <italic>p</italic>&#xa0;&lt;.05) and Sham &lt;24 hr (mean=14.3 days, median=1 day, <italic>U</italic>&#xa0;=&#xa0;259, z=-2.15, <italic>p</italic>&#xa0;&lt;.05). The numerical difference relative to Sham &gt;24 hr (mean=10.8 days, median=1 day, <italic>U</italic>&#xa0;=&#xa0;160, <italic>z</italic>&#xa0;=&#xa0;-1.92, <italic>p</italic>&#xa0;= .055) was not significant. No significant differences were found between Active &lt;24 hr, Sham &gt;24 hr, and Sham &lt;24 hr groups.</p>
<p>With missing data imputed as use, the four subgroups did not significantly differ overall, Kruskal-Wallis test <italic>H</italic>(3)=5.90, <italic>p</italic>&#xa0;= .12, although the Active &gt;24 hr group reported numerically less-frequent imputed use (mean=27.8 days, median=11 days) than Active &lt;24 hr (mean=46.2 days, median=50 days) and Sham &lt;24 hr (mean=41.1 days, median=44 days).</p>
<p>
<xref ref-type="table" rid="T3">
<bold>Table&#xa0;3</bold>
</xref> lists percentages of patients with zero days of opioid or psychostimulant use (complete abstinence) during the 84-day post-discharge period for the four subgroups. <xref ref-type="table" rid="T4">
<bold>Table&#xa0;4</bold>
</xref> lists summary statistics for these groups. Data are presented with reported use-days and with missing values imputed as use. The percentage of participants with zero days of use was significantly higher in the Active &gt;24 hr group (73.9%) compared to the other groups (Active &lt;24 hr: 32.0%, Sham &gt;24 hr: 42.9%, Sham &lt;24 hr: 47.1%), &#x3c7;<sup>2</sup>&#xa0;=&#xa0;8.97, <italic>p</italic>&#xa0;= .003.</p>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Percentage of patients in each subgroup using opioids, psychostimulants, or MOUD on 0 days (no use) and 84 days (every-day use) post-discharge.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" colspan="10" align="left">Opioids or psychostimulants</th>
</tr>
<tr>
<th valign="middle" rowspan="2" align="left">Group</th>
<th valign="middle" rowspan="2" align="center">N</th>
<th valign="middle" colspan="4" align="center">Participants reporting:</th>
<th valign="middle" colspan="4" align="center">Participants reporting (missing days imputed as use):</th>
</tr>
<tr>
<th valign="middle" colspan="2" align="center">0 use days</th>
<th valign="middle" colspan="2" align="center">84 use days</th>
<th valign="middle" colspan="2" align="center">0 days</th>
<th valign="middle" colspan="2" align="center">84 days</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">Active &#x2265;24 hr</td>
<td valign="middle" align="center">23</td>
<td valign="middle" align="center">17</td>
<td valign="middle" align="center">(73.9%)</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">(0.0%)</td>
<td valign="middle" align="center">5</td>
<td valign="middle" align="center">(21.7%)</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">(0.0%)</td>
</tr>
<tr>
<td valign="middle" align="left">Active &lt;24 hr</td>
<td valign="middle" align="center">25</td>
<td valign="middle" align="center">16</td>
<td valign="middle" align="center">(64.0%)</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">(0.0%)</td>
<td valign="middle" align="center">5</td>
<td valign="middle" align="center">(20.0%)</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">(4.0%)</td>
</tr>
<tr>
<td valign="middle" align="left">Sham &#x2265;24 hr</td>
<td valign="middle" align="center">21</td>
<td valign="middle" align="center">13</td>
<td valign="middle" align="center">(61.9%)</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">(0.0%)</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">(4.8%)</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">(4.8%)</td>
</tr>
<tr>
<td valign="middle" align="left">Sham &lt;24 hr</td>
<td valign="middle" align="center">34</td>
<td valign="middle" align="center">24</td>
<td valign="middle" align="center">(70.6%)</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">(0.0%)</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">(2.9%)</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">(0.0%)</td>
</tr>
<tr>
<th valign="middle" colspan="10" align="left">MOUD</th>
</tr>
<tr>
<td valign="middle" align="left">Active &#x2265;24 hr</td>
<td valign="middle" align="center">23</td>
<td valign="middle" align="center">22</td>
<td valign="middle" align="center">(95.7%)</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">(0.0%)</td>
<td valign="middle" align="center">6</td>
<td valign="middle" align="center">(26.1%)</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">(0.0%)</td>
</tr>
<tr>
<td valign="middle" align="left">Active &lt;24 hr</td>
<td valign="middle" align="center">25</td>
<td valign="middle" align="center">14</td>
<td valign="middle" align="center">(56.0%)</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">(0.0%)</td>
<td valign="middle" align="center">2</td>
<td valign="middle" align="center">(8.0%)</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">(4.0%)</td>
</tr>
<tr>
<td valign="middle" align="left">Sham &#x2265;24 hr</td>
<td valign="middle" align="center">21</td>
<td valign="middle" align="center">17</td>
<td valign="middle" align="center">(81.0%)</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">(0.0%)</td>
<td valign="middle" align="center">2</td>
<td valign="middle" align="center">(9.5%)</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">(0.0%)</td>
</tr>
<tr>
<td valign="middle" align="left">Sham &lt;24 hr</td>
<td valign="middle" align="center">34</td>
<td valign="middle" align="center">23</td>
<td valign="middle" align="center">(67.6%)</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">(0.0%)</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">(2.9%)</td>
<td valign="middle" align="center">4</td>
<td valign="middle" align="center">(11.8%)</td>
</tr>
<tr>
<th valign="middle" colspan="10" align="left">Opioids, psychostimulants, or MOUD</th>
</tr>
<tr>
<td valign="middle" align="left">Active &#x2265;24 hr</td>
<td valign="middle" align="center">23</td>
<td valign="middle" align="center">17</td>
<td valign="middle" align="center">(73.9%)</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">(0.0%)</td>
<td valign="middle" align="center">5</td>
<td valign="middle" align="center">(21.7%)</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">(0.0%)</td>
</tr>
<tr>
<td valign="middle" align="left">Active &lt;24 hr</td>
<td valign="middle" align="center">25</td>
<td valign="middle" align="center">8</td>
<td valign="middle" align="center">(32.0%)</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">(0.0%)</td>
<td valign="middle" align="center">2</td>
<td valign="middle" align="center">(8.0%)</td>
<td valign="middle" align="center">2</td>
<td valign="middle" align="center">(8.0%)</td>
</tr>
<tr>
<td valign="middle" align="left">Sham &#x2265;24 hr</td>
<td valign="middle" align="center">21</td>
<td valign="middle" align="center">9</td>
<td valign="middle" align="center">(42.9%)</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">(0.0%)</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">(4.8%)</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">(4.8%)</td>
</tr>
<tr>
<td valign="middle" align="left">Sham &lt;24 hr</td>
<td valign="middle" align="center">34</td>
<td valign="middle" align="center">16</td>
<td valign="middle" align="center">(47.1%)</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">(0.0%)</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">(2.9%)</td>
<td valign="middle" align="center">4</td>
<td valign="middle" align="center">(11.8%)</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T4" position="float">
<label>Table&#xa0;4</label>
<caption>
<p>Summary statistics for post-discharge days with opioid, psychostimulant, or MOUD use.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" colspan="9" align="left">Opioids or psychostimulants</th>
</tr>
<tr>
<th valign="middle" rowspan="2" align="left">Group</th>
<th valign="middle" colspan="4" align="center">Reported use days (of 84)</th>
<th valign="middle" colspan="4" align="center">Reported use days (of 84) (missing days imputed as use)</th>
</tr>
<tr>
<th valign="middle" align="center">Mean</th>
<th valign="middle" align="center">SD</th>
<th valign="middle" align="center">Median</th>
<th valign="middle" align="center">IQR</th>
<th valign="middle" align="center">Mean</th>
<th valign="middle" align="center">SD</th>
<th valign="middle" align="center">Median</th>
<th valign="middle" align="center">IQR</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">Active &#x2265;24 hr</td>
<td valign="middle" align="center">1.3</td>
<td valign="middle" align="center">3.4</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">0-1</td>
<td valign="middle" align="center">27.1</td>
<td valign="middle" align="center">29.3</td>
<td valign="middle" align="center">11</td>
<td valign="middle" align="center">2-48</td>
</tr>
<tr>
<td valign="middle" align="left">Active &lt;24 hr</td>
<td valign="middle" align="center">4.8</td>
<td valign="middle" align="center">10.8</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">0-4</td>
<td valign="middle" align="center">33.6</td>
<td valign="middle" align="center">30.0</td>
<td valign="middle" align="center">23</td>
<td valign="middle" align="center">3-61</td>
</tr>
<tr>
<td valign="middle" align="left">Sham &#x2265;24 hr</td>
<td valign="middle" align="center">4.7</td>
<td valign="middle" align="center">15.0</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">0-2</td>
<td valign="middle" align="center">35.1</td>
<td valign="middle" align="center">29.6</td>
<td valign="middle" align="center">37</td>
<td valign="middle" align="center">8-59</td>
</tr>
<tr>
<td valign="middle" align="left">Sham &lt;24 hr</td>
<td valign="middle" align="center">4.8</td>
<td valign="middle" align="center">11.2</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">0-1</td>
<td valign="middle" align="center">31.5</td>
<td valign="middle" align="center">26.8</td>
<td valign="middle" align="center">27</td>
<td valign="middle" align="center">5-54</td>
</tr>
<tr>
<th valign="middle" colspan="9" align="left">MOUD</th>
</tr>
<tr>
<td valign="middle" align="left">Active &#x2265;24 hr</td>
<td valign="middle" align="center">0.7</td>
<td valign="middle" align="center">3.3</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">0-0</td>
<td valign="middle" align="center">26.5</td>
<td valign="middle" align="center">28.5</td>
<td valign="middle" align="center">11</td>
<td valign="middle" align="center">1-47</td>
</tr>
<tr>
<td valign="middle" align="left">Active &lt;24 hr</td>
<td valign="middle" align="center">12.7</td>
<td valign="middle" align="center">23.6</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">0-8</td>
<td valign="middle" align="center">41.4</td>
<td valign="middle" align="center">27.5</td>
<td valign="middle" align="center">42</td>
<td valign="middle" align="center">19-70</td>
</tr>
<tr>
<td valign="middle" align="left">Sham &#x2265;24 hr</td>
<td valign="middle" align="center">6.0</td>
<td valign="middle" align="center">18.8</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">0-0</td>
<td valign="middle" align="center">36.5</td>
<td valign="middle" align="center">29.0</td>
<td valign="middle" align="center">39</td>
<td valign="middle" align="center">5-59</td>
</tr>
<tr>
<td valign="middle" align="left">Sham &lt;24 hr</td>
<td valign="middle" align="center">9.6</td>
<td valign="middle" align="center">21.7</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">0-2</td>
<td valign="middle" align="center">36.3</td>
<td valign="middle" align="center">28.6</td>
<td valign="middle" align="center">30</td>
<td valign="middle" align="center">10-56</td>
</tr>
<tr>
<th valign="middle" colspan="9" align="left">Opioids, psychostimulants, or MOUD</th>
</tr>
<tr>
<td valign="middle" align="left">Active &#x2265;24 hr</td>
<td valign="middle" align="center">2.0</td>
<td valign="middle" align="center">6.2</td>
<td valign="middle" align="center">0</td>
<td valign="middle" align="center">0-1</td>
<td valign="middle" align="center">27.8</td>
<td valign="middle" align="center">29.6</td>
<td valign="middle" align="center">11</td>
<td valign="middle" align="center">2-49</td>
</tr>
<tr>
<td valign="middle" align="left">Active &lt;24 hr</td>
<td valign="middle" align="center">17.5</td>
<td valign="middle" align="center">23.5</td>
<td valign="middle" align="center">6</td>
<td valign="middle" align="center">0-27</td>
<td valign="middle" align="center">46.2</td>
<td valign="middle" align="center">27.4</td>
<td valign="middle" align="center">50</td>
<td valign="middle" align="center">24-72</td>
</tr>
<tr>
<td valign="middle" align="left">Sham &#x2265;24 hr</td>
<td valign="middle" align="center">10.8</td>
<td valign="middle" align="center">22.8</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">0-3</td>
<td valign="middle" align="center">41.2</td>
<td valign="middle" align="center">29.9</td>
<td valign="middle" align="center">40</td>
<td valign="middle" align="center">8-68</td>
</tr>
<tr>
<td valign="middle" align="left">Sham &lt;24 hr</td>
<td valign="middle" align="center">14.4</td>
<td valign="middle" align="center">23.6</td>
<td valign="middle" align="center">1</td>
<td valign="middle" align="center">0-21</td>
<td valign="middle" align="center">41.1</td>
<td valign="middle" align="center">29.4</td>
<td valign="middle" align="center">44</td>
<td valign="middle" align="center">13-64</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3_5">
<title>Group percentage of days using opioids, psychostimulants or MOUD</title>
<p>The post-discharge group percentage of person-days with illicit opioid, psychostimulants, or MOUD use (<xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref>) was significantly lower in the Active &gt;24 hr group (3.4% use-days) compared to Active &lt;24 hr (31.6% use-days), Sham &gt;24 hr (20.1% use-days), or Sham &lt;24 hr (25.1% use-days), &#x3c7;<sup>2</sup>&#xa0;=&#xa0;370.10, 172.48 and 272.25, respectively, <italic>p</italic>&#xa0;&lt;.001. <xref ref-type="fig" rid="f1">
<bold>Figure&#xa0;1</bold>
</xref> presents the percentages of participants with any use of opioids, psychostimulants, or MOUD during each of the 3 months across the post-discharge period, to assess whether rates of use varied over time. Over the entire 84-day period, the proportion of participants using any illicit polysubstance or MOUD was significantly lower in the Active &gt;24 hr group (26.1%) compared to Active &lt;24 hr (68.0%, <italic>p</italic>&#xa0;= .004), Sham &gt;24 hr (57.1%, <italic>p</italic>&#xa0;= .029), and Sham &lt;24 hr (52.9%, <italic>p</italic>&#xa0;= .030, Fisher&#x2019;s exact test).</p>
<table-wrap id="T5" position="float">
<label>Table&#xa0;5</label>
<caption>
<p>Person-days (percentage) using illicit opioids, illicit psychostimulants, and/or medications for opioid use disorder (MOUD) based on TLFB during the post-discharge period in active and sham device groups, stratified by duration of device use.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="middle" align="left">Group</th>
<th valign="middle" align="center">N</th>
<th valign="middle" align="center">Illicit opioid</th>
<th valign="middle" align="center">Illicit psychostimulant</th>
<th valign="middle" align="center">MOUD</th>
<th valign="middle" align="center">Any opioid, psychostimulant or MOUD</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="middle" align="left">Active total</td>
<td valign="middle" align="center">48</td>
<td valign="middle" align="center">115/2719 (4.2%)</td>
<td valign="middle" align="center">70/2719 (2.6%)</td>
<td valign="middle" align="center">333/2719 (12.2%)</td>
<td valign="middle" align="center">483/2719 (17.8%)</td>
</tr>
<tr>
<td valign="middle" align="left">Active &#x2265;24 hr</td>
<td valign="middle" align="center">23</td>
<td valign="middle" align="center">19/1338 (1.4%)</td>
<td valign="middle" align="center">17/1338 (1.3%)</td>
<td valign="middle" align="center">16/1338 (1.2%)</td>
<td valign="middle" align="center">46/1338 (3.4%)</td>
</tr>
<tr>
<td valign="middle" align="left">Active &lt;24 hr</td>
<td valign="middle" align="center">25</td>
<td valign="middle" align="center">96/1381 (7.0%)</td>
<td valign="middle" align="center">53/1381 (3.8%)</td>
<td valign="middle" align="center">317/1381 (23.0%)</td>
<td valign="middle" align="center">437/1381 (31.6%)</td>
</tr>
<tr>
<td valign="middle" align="left">Sham total</td>
<td valign="middle" align="center">55</td>
<td valign="middle" align="center">162/3073 (5.3%)</td>
<td valign="middle" align="center">159/3073 (5.2%)</td>
<td valign="middle" align="center">453/3073 (14.7%)</td>
<td valign="middle" align="center">714/3073 (23.2%)</td>
</tr>
<tr>
<td valign="middle" align="left">Sham &#x2265;24 hr</td>
<td valign="middle" align="center">21</td>
<td valign="middle" align="center">76/1125 (6.8%)</td>
<td valign="middle" align="center">75/1125 (6.7%)</td>
<td valign="middle" align="center">127/1125 (11.3%)</td>
<td valign="middle" align="center">226/1125 (20.1%)</td>
</tr>
<tr>
<td valign="middle" align="left">Sham &lt;24 hr</td>
<td valign="middle" align="center">34</td>
<td valign="middle" align="center">86/1948 (4.4%)</td>
<td valign="middle" align="center">84/1948 (4.3%)</td>
<td valign="middle" align="center">326/1948 (16.7%)</td>
<td valign="middle" align="center">488/1948 (25.1%)</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Percentage of participants with any use of opioids, psychostimulants, or MOUD for each of four subgroups (Active &#x2265;24 hr, Active &lt;24 hr, Sham &#x2265;24 hr, and Sham &lt;24 hr device utilization) for each month of the 84-day post-discharge period.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpsyt-16-1627267-g001.tif">
<alt-text content-type="machine-generated">Line graph showing the percentage of participants using opioids, psychostimulants, or MOUD over three months post-discharge. &#x201c;Active &gt;=24 hr&#x201d; starts at 15% and remains stable.&#x201c;Active &lt;24 hr&#x201d; starts at 50% and rises to 70%. &#x201c;Sham &gt;=24 hr&#x201d; starts and ends at 40%. &#x201c;Sham &lt;24 hr&#x201d; begins at 40% and decreases to 30%. Different symbols and colors represent each group.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3_6">
<title>Opioid, psychostimulant, or MOUD use (separately for each type)</title>
<p>
<xref ref-type="fig" rid="f2">
<bold>Figure&#xa0;2</bold>
</xref> illustrates, and <xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref> lists, percentages of post-discharge reported person-days separately for illicit opioid, illicit psychostimulant, or MOUD use in the four groups. Rates of opioid use were significantly lower in the Active &gt;24 hr group (1.4% use-days) compared to Active &lt;24 hr (7.0% use-days), Sham &gt;24 hr (6.8% use-days), or Sham &lt;24 hr (4.4% use-days), &#x3c7;<sup>2</sup>&#xa0;=&#xa0;51.33, 46.92 and 23.00, respectively, <italic>p</italic>s&lt;.001, as were rates of psychostimulant use (Active &gt;24 hr (1.3% use-days) compared to Active &lt;24 hr (3.8% use-days), Sham &gt;24 hr (6.7% use-days), or Sham &lt;24 hr (4.3% use-days), &#x3c7;<sup>2</sup>&#xa0;=&#xa0;17.86, 49.49 and 24.63, respectively, <italic>p</italic>s&lt;.001. Rates of MOUD use were also significantly lower in the Active &gt;24 hr group (1.2% use-days) compared to Active &lt;24 hr (23.0% use-days), Sham &gt;24 hr (11.3% use-days), or Sham &lt;24 hr (16.7% use-days), &#x3c7;<sup>2</sup>&#xa0;=&#xa0;299.37, 113.84 and 205.41 respectively, <italic>p</italic>s&lt;.001, risk ratio from .106 to .052.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Percentage of person-days using illicit opioids, illicit psychostimulants, or MOUD based on TLFB during the post-discharge period for each of four subgroups (Active &#x2265;24 hr, Active &lt;24 hr, Sham &#x2265;24 hr, and Sham &lt;24 hr device utilization). Asterisks indicate a significant difference between the Active &gt;24 hr group and all three other subgroups.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpsyt-16-1627267-g002.tif">
<alt-text content-type="machine-generated">Bar chart comparing percentage use days of opioids, psychostimulants, and MOUD across the four groups: Active &gt;=24 hr, Active &lt;24 hr, Sham &gt;= 24 hr, and Sham &lt;24 hr. The Active &gt;=24 hr group shows the lowest use percentage for opioids, psychostimulants, and MOUD. Asterisks indicate significance.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3_7">
<title>Post-discharge patterns of use</title>
<p>
<xref ref-type="fig" rid="f3">
<bold>Figure&#xa0;3</bold>
</xref> presents heat maps that depict individual-subject temporal patterns of post-discharge daily use of opioids, psychostimulants, and MOUD, and missing data, in each of the 4 residential treatment subgroups: (A) Active &gt;24 hr, (B) Active &lt;24 hr, (C) Sham &gt;24 hr, and (D) Sham &lt;24 hr. Individuals with higher quantities of non-use reports are clustered at the top and those with higher quantities of use reports are clustered at the bottom, facilitating visual comparison between the subgroups.</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Heat maps to characterize individual-subject temporal patterns (each row) of illicit opioid, illicit psychostimulant, and MOUD use, as well as abstinence and missing data, across the 84-day post-discharge follow-up period for participants who, during the residential treatment phase, self-administered <bold>(A)</bold> active device stimulation &gt;24 hours, <bold>(B)</bold> active device stimulation &lt;24 hours, <bold>(C)</bold> sham &gt;24 hours, and <bold>(D)</bold> sham &lt;24 hours.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpsyt-16-1627267-g003.tif">
<alt-text content-type="machine-generated">Four-panel dot plot charts depicting study participant data over outpatient days. Each panel shows treatment length (greater or less than twenty-four hours) under active or sham conditions. Key: gray for no missing data, green represents no use of opioids, psychostimulants or MOUD, and colored dots within circles are positive results for opioids (red), psychostimulants (blue), and MOUD (gold).</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3_8">
<title>Sensitivity analyses</title>
<p>The Monte Carlo simulation results are consistent with analyses of reported use-days and missing data imputed as use. The Active &gt;24 hr group had a significantly (&#x3c7;<sup>2</sup>&#xa0;=&#xa0;44.84, <italic>p</italic>&#xa0;&lt;.001) higher percentage of participants with zero days of drug use (73.9%) compared to other groups (32.0&#x2013;47.1%), and no participants with 84 days of drug use.</p>
</sec>
<sec id="s3_9">
<title>Completeness of follow-up data</title>
<p>
<xref ref-type="fig" rid="f4">
<bold>Figure&#xa0;4</bold>
</xref> illustrates group-level daily percentage rates of TLFB reporting specific for all participants (4A), Active &gt;24 hr (4B), Active &lt;24 hr (4C), Sham &gt;24 hr (4D) and Sham &lt;24 hr (4E). Group-level retention did not follow a monotonically decreasing or stepwise survival function pattern, as many participants re-engaged even after periods of missing contact (56% to 74% on a given day). There were no significant differences in the number of days with no reporting between the Active and Sham groups as a whole (Mann-Whitney <italic>U</italic>&#xa0;=&#xa0;1237.0, <italic>p</italic>&#xa0;= .59), or across the four groups (Kruskal-Walls <italic>H</italic>&#xa0;= .76, <italic>p</italic>&#xa0;= .69), <xref ref-type="table" rid="T5">
<bold>Table&#xa0;5</bold>
</xref>.</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Percentage of participants reporting opioid, psychostimulant, and MOUD use data by day of follow-up. The different panels present the device utilization data separately for all patients <bold>(A)</bold>, Active &#x2265;24 hr <bold>(B)</bold>, Active &lt;24 hr <bold>(C)</bold>, Sham &#x2265;24 hr <bold>(D)</bold>, and Sham &lt;24 hr <bold>(E)</bold>.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpsyt-16-1627267-g004.tif">
<alt-text content-type="machine-generated">Five bar charts labeled A to E, displaying retention rates over 84 days post-discharge. Chart A (all participants) shows overall retention of 60-70%. Chart B (Active &gt;=24 hr) shows retention between 60-80%. Chart C (Active &lt;24 hr) shows retention from about 55-80%. Chart D (Sham &gt;=24 hr) shows retention from about 50-75%. Chart E (Sham &lt;24 hr) shows retention between 50-80%.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3_10">
<title>Demographic and clinical covariates</title>
<p>The randomized groups and four subgroups did not significantly differ by sex, age, or race. Duration of stay at the residential treatment facility was analyzed using non-parametric tests due to non-normal distribution of the data. The Active group duration of stay (mean=18.5 days, median=25.5 days, IQR&#xa0;=&#xa0;7-27) was not significantly different from Sham (mean=16.6 days, median=17 days, IQR&#xa0;=&#xa0;6-27, <italic>U</italic>&#xa0;=&#xa0;1233.5, <italic>z</italic>&#xa0;=&#xa0;-0.57, <italic>p</italic>&#xa0;= .57). However, the distributions significantly differed by subgroup (Kruskal-Wallis <italic>H</italic>(3)=49.96, <italic>p</italic>&#xa0;&lt;.001). Pairwise comparisons using Mann-Whitney <italic>U</italic> tests indicated that the Active &gt;24 hr group had significantly longer residential stays compared to Active &lt;24 hr (<italic>U</italic>&#xa0;=&#xa0;142, <italic>p</italic>&#xa0;= .003), Sham &gt;24 hr (<italic>U</italic>&#xa0;=&#xa0;114, <italic>p</italic>&#xa0;= .003), and Sham &lt;24 hr (<italic>U</italic>&#xa0;=&#xa0;267, <italic>p</italic>&#xa0;= .044) (<xref ref-type="fig" rid="f5">
<bold>Figure&#xa0;5</bold>
</xref>).</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Median (interquartile range) duration of stay at the residential addiction treatment facility for each of the four subgroups (Active &#x2265;24 hr, Active &lt;24 hr, Sham &#x2265;24 hr, and Sham &lt;24 hr device utilization) prior to discharge.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpsyt-16-1627267-g005.tif">
<alt-text content-type="machine-generated">Bar chart comparing the duration of residential stay across the four groups. Active &gt;=24 hr has the longest stay, compared to the other three groups (Active &lt;24 hr, Sham &gt;=24 hr, and Sham &lt;24 hr).</alt-text>
</graphic>
</fig>
<p>The correlation between residential stay duration (in 1-week bins) and whether participants used opioids, MOUD, or any of opioids, stimulants, or MOUD (binary: used vs. not used) during the post-discharge period (Spearman&#x2019;s <italic>rho</italic>&#xa0;= .220, .246, and .064 respectively, <italic>ps</italic>&gt;.05) was not significant.</p>
</sec>
</sec>
<sec id="s4" sec-type="discussion">
<title>Discussion</title>
<p>The NET Device is being investigated as a therapeutic option during residential stays for persons with OUD who, given a choice, prefer not to take MOUD. The size of this subgroup of patients has not been accurately estimated in published literature but is likely a substantial minority, and is an understudied segment of the OUD population. The NET Device is not intended for all persons with OUD, given the established efficacy of MOUD and the importance of allowing patients to choose their preferred treatments. In short, this medical device option is not intended to supplant MOUD. The option to use it during inpatient stay is advantageous, because US national data indicate that residential facilities provide MOUD at very low rates (<xref ref-type="bibr" rid="B40">40</xref>).</p>
<p>We prospectively examined illicit opioid, illicit psychostimulant, and MOUD daily use rates for patients with OUD across 84 post-discharge days (12 weeks) in the Randomized, Sham-Controlled Clinical Trial to Evaluate the NET Device for Reducing Withdrawal Symptom Severity During Opioid Discontinuation (<xref ref-type="bibr" rid="B31">31</xref>, <xref ref-type="bibr" rid="B36">36</xref>). Following discontinuation of active or sham stimulation and discharge from the residential study site, the majority (95.4%) of participants completed at least one of 12 weekly TLFB interviews.</p>
<p>Overall, randomization to active device stimulation did not lead to significantly fewer use-days of illicit opioids, psychostimulants or MOUD. The planned secondary analysis showed significant differences in opioid and psychostimulant use-days for active-device voluntary stimulation &gt;24 hr compared to the other subgroups. However, participants who self-administered active stimulation &gt;24 hr had significantly longer residential stays than those who self-administered active stimulation &lt;24 hr or received sham. The length of residential stay might indirectly reflect the extent of psychosocial interventions received. This variable is important to consider, as participants who self-administered active stimulation longer might be more likely to engage in all forms of treatment. Our finding of no association between length of study and post-discharge illicit drug use was likely due to a modest sample size and limited variation in duration of residential stay across participants. Alternatively, greater initial opioid withdrawal suppression with NET in the active device group (<xref ref-type="bibr" rid="B31">31</xref>) might have improved engagement with psychosocial interventions offered during the residential stay, which could then facilitate post-discharge outcomes. Notably, participants did not receive additional planned intervention after discharge.</p>
<p>Relative differences in outcomes between treatment groups must be interpreted in the context of missing follow-up data. Retention in the study (indexed by the rate of daily TLFB reporting for all substances) was relatively consistent throughout the post-discharge phase. Most participants in this trial were not permanently lost to contact during the follow-up assessment period and would often reengage with post-discharge assessments. Even so, about one-third of the sample had missing TLFB data on a given day. Thus, we examined effects of different imputation strategies in our sensitivity analyses. Using our published <italic>a priori</italic> assumption that missing data correspond to use, which is common in substance use disorder clinical trials (<xref ref-type="bibr" rid="B41">41</xref>&#x2013;<xref ref-type="bibr" rid="B43">43</xref>), absolute differences between the two randomized groups and four subgroups remained similar. Using an alternative imputation strategy of imputing data using Monte Carlo simulation, absolute use-rate estimates were lower and the relative difference between the four subgroups remained statistically significant, suggesting that the findings were robust to missing data assumptions.</p>
<p>This study has several limitations. First, the sample size is relatively small. Although this clinical trial was powered <italic>a priori</italic> to address opioid abstinence without assistance of MOUD, future studies should investigate the effectiveness of the NET Device in larger and more heterogeneous patient samples outside a single geographical area. Second, the finding that self-administering active stimulation &gt;24 hr (relative to active &lt;24 hr or sham) was associated with less post-discharge substance use emerged from a planned secondary analysis that should be replicated in an independent sample. The reasons behind this finding are unclear. For instance, different durations of device use might be due to the policy at this treatment center that all patients must wait 24 hr before they can qualify to receive MOUD (setting effect). Unmeasured individual differences could also contribute to this outcome. The finding might reflect that patients had effective device-related acute suppression of opioid withdrawal and benefited from residential psychosocial interventions, leading to better post-discharge outcomes. However, short-term use of the NET Device to suppress opioid withdrawal during residential treatment does not provide any guarantee of decreasing relapse. Third, the neurobiological mechanisms that underlie any possible relationship between active device use and rates of illicit substance use remain to be determined. Lastly, the follow-up period was limited to 3 months, thus, longer-term outcomes remain unclear. We are now conducting a follow-up study to determine outcomes at 2 or more years post-study, which will provide useful information on the durability of treatment effects.</p>
<p>In conclusion, participants who self-administered active NET Device stimulation &gt;24 hr during residential treatment reported during the 84-day post-discharge period significantly fewer use-days of illicit opioids or psychostimulants without relying on MOUD, compared to other participants. Taken together, the NET Device may be appropriate and useful for individuals with OUD who are in residential treatment and do not want to pursue recovery with medications, but these findings need to be replicated.</p>
</sec>
</body>
<back>
<sec id="s5" sec-type="data-availability">
<title>Data availability statement</title>
<p>The datasets presented in this article are not readily available because the data are proprietary to NET Recovery Corp. Requests to access the datasets should be directed to <email xlink:href="mailto:joe.winston@netrecovery.net">joe.winston@netrecovery.net</email>.</p>
</sec>
<sec id="s6" sec-type="ethics-statement">
<title>Ethics statement</title>
<p>The studies involving humans were approved by Human Investigation Committee, Wayne State University. The studies were conducted in accordance with the local legislation and institutional requirements. The participants provided their written informed consent to participate in this study.</p>
</sec>
<sec id="s7" sec-type="author-contributions">
<title>Author contributions</title>
<p>MG: Conceptualization, Investigation, Methodology, Project administration, Supervision, Visualization, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing. CA: Formal Analysis, Writing &#x2013; review &amp; editing. JW: Conceptualization, Data curation, Funding acquisition, Investigation, Methodology, Project administration, Resources, Software, Supervision, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review &amp; editing.</p>
</sec>
<sec id="s8" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research and/or publication of this article. This trial was funded solely by NET Recovery Corp. MG effort is supported by the Gertrude Levin Endowed Chair in Addiction and Pain Biology, and Michigan Department of Health and Human Services (Lycaki/Young Funds).</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>NET Recovery Corp. employees Myrrh Winston, Eric Moyer, and Lorne Patterson contributed to the implementation and execution of the study procedures. Cheryl Lockett (BlueVector Limited) was the independent study monitor. Dr. Samiran Ghosh (Wayne State University, then University of Texas at Houston) was the original biostatistician who performed the randomization. The authors thank staff members at the treatment facility for their many contributions to the study. We thank study participants for their cooperation and assistance. We are grateful to Dr. Fergus Law for comments on an earlier draft of this manuscript.</p>
</ack>
<sec id="s9" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>JW is chief executive officer and co-founder of NET Recovery Corp.</p>
<p>The authors declare that this study received funding from NET Recovery Corp. The funder had the following involvement in the study: contribution to the implementation and execution of the study procedures.</p>
</sec>
<sec id="s10" sec-type="ai-statement">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
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