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<article-title>Editorial: Mathematical modeling of medication nonadherence</article-title>
<alt-title alt-title-type="left-running-head">Lawley et al.</alt-title>
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<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fphar.2025.1741041">10.3389/fphar.2025.1741041</ext-link>
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<surname>Lawley</surname>
<given-names>Sean D.</given-names>
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<sup>1</sup>
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<given-names>Teresa B.</given-names>
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<institution>Department of Mathematics, University of Utah</institution>, <city>Salt Lake City</city>, <state>UT</state>, <country country="US">United States</country>
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<label>2</label>
<institution>School of Mathematics and Statistics, Rochester Institute of Technology</institution>, <city>Rochester</city>, <state>NY</state>, <country country="US">United States</country>
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<institution>Shanghai Chest Hospital, Shanghai Jiao Tong University, School of Medicine</institution>, <city>Shanghai</city>, <country country="CN">China</country>
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<author-notes>
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<label>&#x2a;</label>Correspondence: Sean D. Lawley, <email xlink:href="mailto:lawley@math.utah.edu">lawley@math.utah.edu</email>
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<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2025-11-26">
<day>26</day>
<month>11</month>
<year>2025</year>
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<year>2025</year>
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<volume>16</volume>
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<date date-type="received">
<day>06</day>
<month>11</month>
<year>2025</year>
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<date date-type="accepted">
<day>07</day>
<month>11</month>
<year>2025</year>
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<copyright-statement>Copyright &#xa9; 2025 Lawley, Gibson and Jiao.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Lawley, Gibson and Jiao</copyright-holder>
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<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. 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.</license-p>
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<kwd-group>
<kwd>adherence</kwd>
<kwd>nonadherence</kwd>
<kwd>mathematical modeling</kwd>
<kwd>stochastic modeling</kwd>
<kwd>statistical analysis</kwd>
<kwd>artificial intelligence</kwd>
</kwd-group>
<funding-group>
<funding-statement>The authors declare that financial support was received for the research and/or publication of this article. SDL was supported by the National Science Foundation (Grant Nos. CAREER DMS-1944574 and DMS-2325258).</funding-statement>
</funding-group>
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<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Drugs Outcomes Research and Policies</meta-value>
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<notes notes-type="frontiers-research-topic">
<p>Editorial on the Research Topic <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/research-topics/62280">Mathematical modeling of medication nonadherence</ext-link>
</p>
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</front>
<body>
<p>Medication adherence is the process by which patients take their medications as prescribed (<xref ref-type="bibr" rid="B40">Vrijens et al., 2012</xref>). Medication <italic>non</italic>adherence is an age-old problem, as even Hippocrates warned physicians to &#x201c;keep a watch also on the faults of the patients, which often make them lie about the taking of things prescribed&#x201d; (<xref ref-type="bibr" rid="B34">Potter et al., 1923</xref>). Today, medication nonadherence results in over 100,000 preventable deaths and more than $100 billion in healthcare costs each year in the United States alone (<xref ref-type="bibr" rid="B30">Osterberg and Blaschke, 2005</xref>; <xref ref-type="bibr" rid="B22">Kini and Ho, 2018</xref>). In fact, the World Health Organization has claimed (<xref ref-type="bibr" rid="B35">Sabat&#xe9; et al., 2003</xref>):</p>
<disp-quote>
<p>&#x201c;Increasing the effectiveness of adherence interventions may have a far greater impact on the health of the population than any improvement in specific medical treatments.&#x201d;</p>
</disp-quote>
<p>A former United States surgeon general famously observed, &#x201c;drugs do not work in patients who do not take them&#x201d; <xref ref-type="bibr" rid="B24">Lindenfeld and Jessup, 2017</xref>).</p>
<p>Medication nonadherence is challenging to understand and mitigate for many reasons. For one, nonadherence can be erratic, as patients do not miss doses on neat, predictable schedules. Indeed, adherence data for an individual patient over time shows doses taken on-time, doses taken late, doses skipped, double doses, etc. (<xref ref-type="bibr" rid="B39">Vrijens et al., 2008</xref>). Furthermore, these seemingly stochastic, temporal fluctuations in adherence vary considerably between patients (<xref ref-type="bibr" rid="B4">Blaschke et al., 2012</xref>), with perhaps at least six qualitatively distinct patterns seen in different patients (<xref ref-type="bibr" rid="B38">Urquhart, 2002</xref>). In addition to temporal and patient heterogeneity, the physiological consequences of nonadherence can vary considerably between drugs. For example, missing a morning dose of one medication may go largely undetected by the patient or might entail a lethargic afternoon, but a missing a dose of an antiepileptic drug might cause a seizure (<xref ref-type="bibr" rid="B33">Pellock et al., 2004</xref>). Moreover, even within a specific drug class, some drugs maintain efficacy despite lapses in adherence (so-called &#x201c;forgiving&#x201d; drugs), whereas other drugs require nearly perfect adherence to be effective (<xref ref-type="bibr" rid="B31">Osterberg et al., 2010</xref>).</p>
<p>Due to this complexity, mathematical and computational approaches are emerging as powerful tools to combat medication nonadherence. For instance, stochastic analysis can leverage the science of pharmacometrics to investigate remedial dosing protocols and design regimens to mitigate nonadherence (<xref ref-type="bibr" rid="B21">Jun and Nekka, 2007</xref>; <xref ref-type="bibr" rid="B8">Chen et al., 2013</xref>; <xref ref-type="bibr" rid="B18">Gu et al., 2020</xref>; <xref ref-type="bibr" rid="B9">Counterman and Lawley, 2021</xref>; <xref ref-type="bibr" rid="B15">Counterman and Lawley, 2022</xref>; <xref ref-type="bibr" rid="B10">Dai et al., 2025</xref>; <xref ref-type="bibr" rid="B25">Liu et al., 2024</xref>; <xref ref-type="bibr" rid="B23">Li et al., 2023</xref>; <xref ref-type="bibr" rid="B13">Clark and Lawley, 2022</xref>; <xref ref-type="bibr" rid="B14">Clark and Lawley, 2024</xref>). Furthermore, &#x201c;drug forgiveness&#x201d; has been quantified with a number of approaches (<xref ref-type="bibr" rid="B37">Urquhart, 1997</xref>; <xref ref-type="bibr" rid="B29">Nony et al., 2002</xref>; <xref ref-type="bibr" rid="B6">Boissel and Nony, 2002</xref>; <xref ref-type="bibr" rid="B17">Goue Gohore et al., 2010</xref>; <xref ref-type="bibr" rid="B11">Dartois, 2011</xref>; <xref ref-type="bibr" rid="B26">Lowy et al., 2011</xref>; <xref ref-type="bibr" rid="B1">Assawasuwannakit et al., 2015</xref>; <xref ref-type="bibr" rid="B2">Assawasuwannakit et al., 2016</xref>; <xref ref-type="bibr" rid="B32">Pellock and Brittain, 2016</xref>; <xref ref-type="bibr" rid="B27">Morrison et al., 2017</xref>; <xref ref-type="bibr" rid="B28">McAllister and Lawley, 2022</xref>; <xref ref-type="bibr" rid="B20">Hwai-Ray and Lawley, 2024</xref>; <xref ref-type="bibr" rid="B7">Cengiz et al., 2025</xref>; <xref ref-type="bibr" rid="B36">Tung and Lawley, 2025</xref>), which enables the identification and design of drugs which are robust to nonadherence. In effect, the mathematical equations are a laboratory to conduct experiments which would not be feasible in human trials, such as quantifying how therapeutic efficacy depends on adherence rates and patterns. In addition, methods employing artificial intelligence (AI) and sophisticated statistical approaches are being applied to swaths of adherence data to predict, detect, and ameliorate nonadherence (<xref ref-type="bibr" rid="B3">Babel et al., 2021</xref>; <xref ref-type="bibr" rid="B5">Bohlmann et al., 2021</xref>; <xref ref-type="bibr" rid="B16">Gibson, 2022</xref>; <xref ref-type="bibr" rid="B12">DeClercq and Choi, 2020</xref>; <xref ref-type="bibr" rid="B19">Haff et al., 2022</xref>).</p>
<p>This Research Topic presents five articles in this burgeoning field. Three of the articles involve AI methods. <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fphar.2025.1614002">Chang et al.</ext-link> propose algorithms based on machine learning to predict nonadherence and suggest dynamic, personalized interventions. <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fphar.2025.1631599">Xie</ext-link> proposes an intelligent computing framework via a hierarchical latent prior structure to support pharmacotherapy decision-making by predicting adherence patterns and clinical outcomes for individual patients. <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fdgth.2025.1523070">Reis et al.</ext-link> review 7 studies of AI-based tools designed to support patient medication use and highlight their promise for improving medication adherence. Together, these three articles highlight the promise of AI for alleviating the deleterious health effects of nonadherence. <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fphar.2025.1562620">Leguizamo-Martinez et al.</ext-link> employ group-based statistical methodologies to identify adherence patterns over time. These authors use prescription data on nearly 30,000 patients who initiated direct oral anticoagulant therapy to categorize adherence trajectories and quantify how various factors correlate with nonadherence. <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fpubh.2025.1590423">Yan et al.</ext-link> created and administered a questionnaire to evaluate factors influencing the adherence of asthmatic children to inhaled corticosteroids. The authors then employ a variety of statistical tests to evaluate their questionnaire and its results, and ultimately obtain quantitative estimates of how various factors affect adherence in this patient population.</p>
<p>The articles in this Research Topic demonstrate the significant potential of mathematical modeling and AI in tackling the heterogeneous challenge of medication nonadherence. These emerging approaches are driving a paradigm shift from static assessment toward predictive, dynamic frameworks that can mitigate nonadherent behaviors. Looking ahead, the imperative is to accelerate the translation of these computational tools from theory into clinical practice, enabling the design of more &#x201c;forgiving&#x201d; pharmacotherapies and the delivery of personalized interventions. Fulfilling this potential is critical to realizing the profound impact that improved adherence interventions can have on population health, as emphasized by the World Health Organization.</p>
</body>
<back>
<sec sec-type="author-contributions" id="s1">
<title>Author contributions</title>
<p>SL: Writing &#x2013; review and editing, Writing &#x2013; original draft. TG: Writing &#x2013; review and editing. ZJ: Writing &#x2013; review and editing.</p>
</sec>
<sec sec-type="COI-statement" id="s3">
<title>Conflict of interest</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 sec-type="ai-statement" id="s4">
<title>Generative AI statement</title>
<p>The authors declare that no Generative AI was used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec sec-type="disclaimer" id="s5">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<fn-group>
<fn fn-type="custom" custom-type="edited-by">
<p>
<bold>Edited and reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/42464/overview">Bernd Rosenkranz</ext-link>, Fundisa African Academy of Medicines Development, South Africa</p>
</fn>
</fn-group>
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