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  <front>
    <journal-meta>
      <journal-id journal-id-type="nlm-ta">Soft Sci.</journal-id>
      <journal-id journal-id-type="publisher-id">SS</journal-id>
      <journal-title-group>
        <journal-title>Soft Science</journal-title>
      </journal-title-group>
      <issn pub-type="epub">2769-5441</issn>
      <publisher>
        <publisher-name>OAE Publishing Inc.</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.20517/ss.2026.116</article-id>
      <article-categories>
        <subj-group>
          <subject>Commentary</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>Optimal conductivity matching for cardiac electrical patches</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Tian</surname>
            <given-names>Lufeng</given-names>
          </name>
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Song</surname>
            <given-names>Yu</given-names>
          </name>
          <xref ref-type="aff" rid="I*">
            <sup>*</sup>
          </xref>
          <xref ref-type="corresp" rid="cor1" />
          <contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-4185-2256</contrib-id>
        </contrib>
      </contrib-group>
      <aff id="I">Department of Biomedical Engineering, City University of Hong Kong, Hong Kong 999077, China.</aff>
      <author-notes>
        <corresp id="cor1"><sup>*</sup>Correspondence to: Prof. Yu Song, Department of Biomedical Engineering, City University of Hong Kong, Hong Kong 999077, China. E-mail: <email>yusong@cityu.edu.hk</email></corresp>
        <fn fn-type="other">
          <p>
            <bold>Received:</bold> 19 May 2026 | <bold>First Decision:</bold> 17 Jun 2026 | <bold>Revised:</bold> 28 Jun 2026 | <bold>Accepted:</bold> 8 Jul 2026 | <bold>Published:</bold> 14 Jul 2026</p>
        </fn>
        <fn fn-type="other">
          <p>
            <bold>Academic Editor:</bold> Raudel Avila | <bold>Copy Editor:</bold> Pei-Yun Wang | <bold>Production Editor:</bold> Pei-Yun Wang</p>
        </fn>
      </author-notes>
      <pub-date pub-type="ppub">
        <year>2026</year>
      </pub-date>
      <pub-date pub-type="epub">
        <day>14</day>
        <month>7</month>
        <year>2026</year>
      </pub-date>
      <volume>6</volume>
	  <issue>3</issue>
      <elocation-id>64</elocation-id>
      <permissions>
        <copyright-statement>© The Author(s) 2026.</copyright-statement>
        <license xlink:href="https://creativecommons.org/licenses/by/4.0/">
          <license-p>© The Author(s) 2026. <bold>Open Access</bold> This article is licensed under a Creative Commons Attribution 4.0 International License (<uri xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</uri>), which permits unrestricted use, sharing, adaptation, distribution and reproduction in any medium or format, for any purpose, even commercially, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.</license-p>
        </license>
      </permissions>
    </article-meta>
  </front>
  <body>
    <p>Conductive biomaterials are the key interfaces linking biological tissues and flexible electronics, holding essential significance for closed-loop healthcare<sup>[<xref ref-type="bibr" rid="B1">1</xref>-<xref ref-type="bibr" rid="B3">3</xref>]</sup>. They act as electrical conduction bridges to restore electrophysiological communication in damaged tissues and facilitate tissue recovery<sup>[<xref ref-type="bibr" rid="B4">4</xref>]</sup>. Myocardial infarction (MI) is a prevalent and life-threatening cardiovascular disease<sup>[<xref ref-type="bibr" rid="B5">5</xref>]</sup>, and the associated arrhythmia is a major risk to patients. Since 2015, conductive materials, such as polypyrrole<sup>[<xref ref-type="bibr" rid="B6">6</xref>]</sup>, carbon nanotubes<sup>[<xref ref-type="bibr" rid="B5">5</xref>]</sup>, and reduced graphene oxide<sup>[<xref ref-type="bibr" rid="B7">7</xref>]</sup>, have been investigated for electrical conduction restoration in MI treatment. Besides fundamental properties such as biocompatibility, mechanical compatibility, and adhesion, conductivity is a crucial parameter for cardiac function recovery in therapeutic scenarios<sup>[<xref ref-type="bibr" rid="B8">8</xref>,<xref ref-type="bibr" rid="B9">9</xref>]</sup>. Notably, conductive biomaterials tailored for tissue electrical conduction differ from those designed for signal acquisition and sensing, where low impedance and high signal-to-noise ratios are preferred. However, excessively high conductivity does not guarantee better therapeutic efficacy. Previous studies are limited by narrow tunable range of materials conductivity and insufficient theoretical modeling, leaving the selection of optimal conductivity without systematic evaluation and solid theoretical support.</p>
    <p>Recently, Miao <italic>et al.</italic> used conductive graphene oxide aerogel (GA) to prepare highly conductive electroactive cardiac patches (eCarPs) with the conductivity ranging from 10<sup>-3</sup> to 10<sup>1</sup> S/cm for MI treatment [<xref ref-type="fig" rid="fig1">Figure 1A</xref>]<sup>[<xref ref-type="bibr" rid="B10">10</xref>]</sup>. This range, covering five orders of magnitude, exceeds those reported in existing studies, where the optimal conductivity of eCarP should be 100 to 1,000 times that of native myocardium <InlineParagraph>(10<sup>-3</sup> S/cm).</InlineParagraph> Such highly conductive eCarPs enable sustained electrocardiogram (ECG) signals. This finding challenges the conventional understanding that “the conductivity of conductive materials should be close to that of healthy myocardium”. Specifically, eCarPs with low conductivity (10<sup>-3</sup> S/cm) fail to achieve an optimal conduction velocity (CV) [<xref ref-type="fig" rid="fig1">Figure 1B</xref>]. To explain this phenomenon, a monodomain model was developed for electrophysiological analysis. Simulation revealed that either excessively low or high conductivity causes mismatch in CV between the eCarP and surrounding healthy myocardium, increasing the risk of reentry with potential lethal arrhythmias. Compared with the resistor–capacitor (RC) model<sup>[<xref ref-type="bibr" rid="B11">11</xref>]</sup>, the monodomain model incorporates physiological constraints on intercellular signal conduction, while it requires a lower computational time than the bidomain model. In the porcine ventricular incision model, the theoretical predictions exhibited high consistency with the experimental results. Accordingly, the monodomain model serves as a practical and accurate tool to interpret electrical interactions between conductive patch and myocardium tissues, providing a solid theoretical basis for further clinical translation.</p>
    <fig id="fig1" position="float">
      <label>Figure 1</label>
      <caption>
        <p>(A) Schematic of eCarP with the relative positions of heart and eCarP; (B) Scheme of eCarPs reducing the risks of arrhythmia. eCarP: Electroactive cardiac patche.</p>
      </caption>
      <graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="ss60116.fig.1.jpg" />
    </fig>
    <p>More interestingly, from the perspective of tissue repair, eCarPs exhibit versatile therapeutic potentials beyond the regulation of abnormal electrical signals<sup>[<xref ref-type="bibr" rid="B10">10</xref>]</sup>. They can increase ventricular wall thickness, improve cardiac function, facilitate angiogenesis, and upregulate the expression of relevant proteins. Such synergistic effects provide comprehensive biological support for myocardial repair after infarction.</p>
    <p>Collectively, investigations into the optimal conductivity of cardiac patches deepen our understanding of how conductive biomaterials restore cardiac electrical synchrony. It also emphasizes that evaluating new-generation biomaterials and biomedical devices requires considerations beyond simple matching of physical properties. The compatibility with the intrinsic characteristics of biological signals is equally important, which acts as a core driving force to advance personalized precision medicine.</p>
    <p>Despite the promising therapeutic efficacy of highly conductive biomaterials for MI treatment, there are remaining challenges to be addressed. The adaptability of conductive cardiac patches fundamentally depends on matching the CV of cardiac electrical signals. The myocardial CV is highly dynamic rather than stable, which is strongly dependent on heart rate and susceptible to fluctuations induced by medications, metabolic conditions, and other factors. Further studies are therefore required to validate whether highly conductive patches could maintain stable electrical adaptability under dynamic physiological variations.</p>
    <p>Besides therapeutic conduction modulation, cardiac patches also offer potentials for <italic>in-situ</italic> physiological monitoring throughout cardiac treatment and recovery. Various biomaterials can be involved for multimodal sensing platforms, enabling real-time acquisition of bio-signals<sup>[<xref ref-type="bibr" rid="B12">12</xref>-<xref ref-type="bibr" rid="B14">14</xref>]</sup>. Due to their conductivity, cardiac patches can not only be used to sense the intrinsic activities of the heart such as electrophysiological signal and physical deformation, but also monitor key parameters of the cardiac microenvironment, such as temperature and pH levels. The integrated system requires optimizing the structure of the devices to adapt to the dynamic surface of the organ, and overcoming obstacles such as wireless energy supply and signal transmission to ensure the long-term and efficient operation. By integrating electrical conduction therapy with signal sensing within a single patch, such an engineered system can further lower the arrhythmia risks. Ultimately, this integrated design facilitates a closed-loop health management strategy, featuring continuous monitoring and targeted treatment, which sustains optimal cardiac electrical synchrony and prevents adverse cardiovascular events.</p>
  </body>
  <back>
    <sec>
      <title>DECLARATIONS</title>
      <sec>
        <title>Authors’ contributions</title>
        <p>Investigation, writing - original draft: Tian, L.</p>
        <p>Writing - review and editing, supervision: Song, Y.</p>
      </sec>
      <sec>
        <title>Availability of data and materials</title>
        <p>Not applicable.</p>
      </sec>
      <sec>
        <title>AI and AI-assisted tools statement</title>
        <p>Not applicable.</p>
      </sec>
      <sec>
        <title>Financial support and sponsorship</title>
        <p>The work was supported by the National Natural Science Foundation of China (62501507), the Natural Science Foundation of Guangdong Province, China (2025A1515010362), the Research Grants Council of Hong Kong (JLFS-YSF/E-101/26), City University of Hong Kong (9382003), and Institute of Digital Medicine (City University of Hong Kong).</p>
      </sec>
      <sec>
        <title>Conflicts of interest</title>
        <p>Song, Y. is the Guest Editor of the Special Topic “<italic>Flexible Electronic Skins and Human-Machine Interface Technologies</italic>” in <italic>Soft Science</italic>. He had no involvement in the review or editorial process of this manuscript, including but not limited to reviewer selection, evaluation, or the final decision, while the other author has declared that he has no conflicts of interest.</p>
      </sec>
      <sec>
        <title>Ethical approval and consent to participate</title>
        <p>Not applicable.</p>
      </sec>
      <sec>
        <title>Consent for publication</title>
        <p>Not applicable.</p>
      </sec>
      <sec>
        <title>Copyright</title>
        <p>© The Author(s) 2026.</p>
      </sec>
    </sec>
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