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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Bioeng. Biotechnol.</journal-id>
<journal-title-group>
<journal-title>Frontiers in Bioengineering and Biotechnology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Bioeng. Biotechnol.</abbrev-journal-title>
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<issn pub-type="epub">2296-4185</issn>
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<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-id pub-id-type="publisher-id">1736024</article-id>
<article-id pub-id-type="doi">10.3389/fbioe.2025.1736024</article-id>
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<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Unraveling <italic>Hydra</italic> bioelectrical activity on multielectrode array</article-title>
<alt-title alt-title-type="left-running-head">Blasio et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fbioe.2025.1736024">10.3389/fbioe.2025.1736024</ext-link>
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<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Blasio</surname>
<given-names>Martina</given-names>
</name>
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<contrib contrib-type="author">
<name>
<surname>Zenna</surname>
<given-names>Claudia</given-names>
</name>
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<contrib contrib-type="author">
<name>
<surname>Intartaglia</surname>
<given-names>Daniela</given-names>
</name>
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<contrib contrib-type="author">
<name>
<surname>Tommasini</surname>
<given-names>Giuseppina</given-names>
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<contrib contrib-type="author">
<name>
<surname>Coppola</surname>
<given-names>Giuseppe</given-names>
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<contrib contrib-type="author">
<name>
<surname>Granata</surname>
<given-names>Federica</given-names>
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<name>
<surname>Tino</surname>
<given-names>Angela</given-names>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Santillo</surname>
<given-names>Silvia</given-names>
</name>
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<name>
<surname>Tortiglione</surname>
<given-names>Claudia</given-names>
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<aff id="aff1">
<institution>Istituto di Scienze Applicate e Sistemi Intelligenti, Consiglio Nazionale delle Ricerche</institution>, <city>Pozzuoli</city>, <country country="IT">Italy</country>
</aff>
<author-notes>
<corresp id="c001">
<label>&#x2a;</label>Correspondence: Silvia Santillo, <email xlink:href="mailto:silvia.santillo@cnr.it">silvia.santillo@cnr.it</email>; Claudia Tortiglione, <email xlink:href="mailto:claudia.tortiglione@cnr.it">claudia.tortiglione@cnr.it</email>
</corresp>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-02-11">
<day>11</day>
<month>02</month>
<year>2026</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2025</year>
</pub-date>
<volume>13</volume>
<elocation-id>1736024</elocation-id>
<history>
<date date-type="received">
<day>30</day>
<month>10</month>
<year>2025</year>
</date>
<date date-type="rev-recd">
<day>18</day>
<month>12</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>24</day>
<month>12</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2026 Blasio, Zenna, Intartaglia, Tommasini, Coppola, Granata, Tino, Santillo and Tortiglione.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>Blasio, Zenna, Intartaglia, Tommasini, Coppola, Granata, Tino, Santillo and Tortiglione</copyright-holder>
<license>
<ali:license_ref start_date="2026-02-11">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<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>
</license>
</permissions>
<abstract>
<p>
<bold>Introduction</bold>: Multielectrode array (MEA) technology has emerged as a powerful tool for extracellular recording of electrical activity across a wide range of experimental models, from single cells to organoids. Advanced devices have been developed to monitor and stimulate microscale biological systems enabling precise interrogation of cellular networks and tissue-level electrophysiology. Although these technologies generated promising results, they are not yet widely accessible to neuroscientists and neurobiologists due to limitations in adapting MEAs for whole-organism recordings, in maintaining stable tissue-electrode interfaces, and in decoding the complexity and diversity of bioelectrical signals of intact organisms. </p>
<p>
<bold>Methods:</bold> In this study, we demonstrate the feasibility of recording the bioelectrical activity from a whole millimeter-sized organism (<italic>Hydra vulgaris</italic>) using a commercially available multielectrode recording system. Additionally, we introduce a custom MATLAB-based algorithm designed for comprehensive analysis and comparison of small animal model extracellular signals.</p>
<p>
<bold>Results:</bold> Two distinct recording configurations were evaluated, each differing in the extent of tissue-electrode coupling area and resulting in variations of the recorded bioelectrical pattern. </p>
<p>
<bold>Discussion:</bold> Our findings underline the strict dependency of the recordings from the device architecture and highlight the potential of <italic>Hydra</italic> as a versatile model in bioelectronics, with applications ranging from the development and validation of advanced microengineered devices to fundamental studies on neuronal circuits and neuromodulation.</p>
</abstract>
<kwd-group>
<kwd>behavioral pattern</kwd>
<kwd>extracellular signals</kwd>
<kwd>
<italic>Hydra vulgaris</italic>
</kwd>
<kwd>multielectrode array (MEA)</kwd>
<kwd>signal processing</kwd>
</kwd-group>
<funding-group>
<funding-statement>The author(s) declared that financial support was received for this work and/or its publication. This research was financial supported by the Office of Naval Research (ONR) under the project &#x201c;iPrint - Bioprinting electrical network&#x201d; N62909-23-1-2110 and partially by Air Force Office Scientific Research (AFOSR) under the project &#x201c;Engineered Living materials for enVronmEntal SENSing (Live Sens)&#x201d; FA8655-22-1-7014.</funding-statement>
</funding-group>
<counts>
<fig-count count="4"/>
<table-count count="0"/>
<equation-count count="11"/>
<ref-count count="49"/>
<page-count count="11"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Organoids and Organ-On-A-Chip</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<label>1</label>
<title>Introduction</title>
<p>Neural information processing operates through intricate spatiotemporal patterns generated by electrical and chemical signals, a sophisticated multimodal language that remains challenging to fully decode and modulate with high fidelity. To address these challenges and transcend the limitations of conventional neurotechnologies (<xref ref-type="bibr" rid="B13">Feiner and Dvir, 2018</xref>; <xref ref-type="bibr" rid="B29">Li H. et al., 2023</xref>), researchers developed innovative strategies to achieve a closer integration between electronic and biological systems. Over the past two&#xa0;decades, advances in microscale technologies and bioelectronics revolutionized neuroengineering, leading to significant innovations in the design and functionality of neural interfaces (<xref ref-type="bibr" rid="B38">Owens and Malliaras, 2010</xref>; <xref ref-type="bibr" rid="B9">Chen et al., 2021</xref>; <xref ref-type="bibr" rid="B44">Tang et al., 2023</xref>). Interfaces based on organic conductive materials offered significant advantages over traditional stiff devices (<xref ref-type="bibr" rid="B31">Liao et al., 2015</xref>; <xref ref-type="bibr" rid="B6">Berggren et al., 2019</xref>; <xref ref-type="bibr" rid="B5">Berggren and Malliaras, 2019</xref>; <xref ref-type="bibr" rid="B7">Berggren et al., 2022</xref>). Their low stiffness endows them with soft mechanical properties, providing greater tissue compatibility (<xref ref-type="bibr" rid="B39">O&#x2019;Connor et al., 2015</xref>), minimizing faradaic reactions and inflammatory response (<xref ref-type="bibr" rid="B14">Ghezzi et al., 2011</xref>; <xref ref-type="bibr" rid="B17">Green and Abidian, 2015</xref>; <xref ref-type="bibr" rid="B8">Carnicer-Lombarte et al., 2021</xref>; <xref ref-type="bibr" rid="B25">Kim et al., 2024</xref>), and accommodating curved geometries required for comfortable microfluidic platforms (<xref ref-type="bibr" rid="B48">Wang et al., 2021</xref>; <xref ref-type="bibr" rid="B32">Liu X. et al., 2024</xref>). Crucially, Organic Mixed Ionic-Electronic Conductors (OMIECs) facilitate bidirectional communication between solid-state electronic devices, reliant on electron transport, and native neural tissues, which communicate via ionic bioelectrical signaling, i.e., synaptic and action potentials (<xref ref-type="bibr" rid="B35">Martin and Malliaras, 2016</xref>; <xref ref-type="bibr" rid="B25">Kim et al., 2024</xref>).</p>
<p>These materials are widely utilized in microelectrode technologies (<xref ref-type="bibr" rid="B21">Ingber, 2022</xref>; <xref ref-type="bibr" rid="B45">Tanwar et al., 2022</xref>; <xref ref-type="bibr" rid="B18">Hajam and Khan, 2024</xref>), increasing the effective surface area, reducing the impedance at the electrode-tissue interface, and facilitating microscale geometric designs.</p>
<p>This versatility has spurred innovation across cellular models, enabling <italic>in vitro</italic> and <italic>in vivo</italic> studies hardly and laboriously achievable using traditional neuronal cultures or brain slices. The planar multielectrode array (MEA) has been proven to be effective in non-invasive and long-term extracellular recordings <italic>in vitro</italic>, supporting investigations into neuronal connectivity in rat primary neurons (<xref ref-type="bibr" rid="B22">James et al., 2004</xref>) and human astrocytes (<xref ref-type="bibr" rid="B11">Didier et al., 2020</xref>; <xref ref-type="bibr" rid="B26">Kuroda et al., 2023</xref>). Three-dimensional (3D) microelectrodes emerged as superior alternatives due to their ability to penetrate cellular layers and establish direct contacts with deeper and healthier cells, thereby significantly improving the signal-to-noise ratio and the recording stability (<xref ref-type="bibr" rid="B1">Abu Shihada et al., 2024</xref>).</p>
<p>Innovations in MEA design include flexible three-dimensional (3D) architectures (<xref ref-type="bibr" rid="B10">Choi et al., 2021</xref>; <xref ref-type="bibr" rid="B49">Wang et al., 2025</xref>) tailored to improve the geometry and topography when interfacing with complex 3D tissues, such as neural organoids and spheroids, and exemplified by flower-shaped MEA, (<xref ref-type="bibr" rid="B36">Martinelli et al., 2004</xref>), self-rolled biosensor arrays (<xref ref-type="bibr" rid="B23">Kalmykov et al., 2019</xref>; <xref ref-type="bibr" rid="B24">Kalmykov et al., 2021</xref>), laminar neurogrids (<xref ref-type="bibr" rid="B28">Li et al., 2019</xref>; <xref ref-type="bibr" rid="B27">Le Floch et al., 2022</xref>; <xref ref-type="bibr" rid="B30">Li Q et al., 2023</xref>), multifunctional mesoscale frameworks (<xref ref-type="bibr" rid="B40">Park et al., 2021</xref>) and multi-sensor origami platform (<xref ref-type="bibr" rid="B41">Rahav et al., 2024</xref>). These innovations have also been applied to the study of unusual excitable systems [<xref ref-type="bibr" rid="B2">Armada-Moreira et al. (2023)</xref> (<xref ref-type="sec" rid="s12">Supplementary Figure S1</xref>)].</p>
<p>Despite these remarkable advances, recording the electrical activity from whole animals remains largely unexplored. Microscale technologies hold promises for correlating <italic>in vivo</italic> neural subcircuit dynamics to behavioral outcomes, as demonstrated by a landmark study carried out by <xref ref-type="bibr" rid="B19">Harris et al. (2010)</xref> on the central nervous system of <italic>Lymnaea stagnalis</italic>. By keeping sensory nerves intact while studying the brain, researchers were able to monitor natural-like responses to taste stimuli. This work advances understanding of how neuronal networks integrate sensory information to produce specific behaviors.</p>
<p>Nevertheless, investigating neural dynamics across entire organisms using microscale technologies remains challenging, partly due to the inherent limitations of current model organisms.</p>
<p>The ideal model for such investigations must balance biological and technical criteria: it should be small and easy to handle, with simple anatomy and a transparent body that enables high-quality functional imaging, i.e., calcium activity monitoring. Additionally, such a model should feature evolutionarily conserved pathways to facilitate translational relevance across species, and a streamlined nervous system that orchestrates well-defined behaviors (<xref ref-type="bibr" rid="B16">Gonzales et al., 2020</xref>).</p>
<p>Few species meet all these criteria, and even suitable candidates demand innovative engineering solutions. On the other side, great challenges in measuring whole animal electrical activity lie in device engineering. Microfluidic trapping devices can precisely position and non-invasively immobilize the organism, while preserving its natural physiology and behavior, a prerequisite for robust <italic>in vivo</italic> experimentation.</p>
<p>Close interdisciplinary collaboration between biologists, engineers, and physicists is therefore essential in order to create platforms that faithfully capture the electrical signals while maintaining the viability of the organism and the accuracy of the experimental data. <xref ref-type="bibr" rid="B20">Hu et al. (2014)</xref> engineered the StyletChip, a microfluidic platform that incorporates suction valves and platinum microelectrodes, designed to immobilize the plant-parasitic nematode <italic>Globodera pallida</italic>. This system enabled high-fidelity recordings, with signal quality comparable to those obtained using a suction glass pipette, of rhythmic stylet thrusting, a bioelectrical behavior essential for host root penetration (<xref ref-type="bibr" rid="B34">Lockery et al., 2012</xref>).</p>
<p>Similarly, <xref ref-type="bibr" rid="B33">Liu Z. et al. (2024)</xref> developed a hybrid MEA-brain activity mapping (BAM) system for zebrafish (<italic>Danio rerio</italic>) larvae, integrating local field potential recording to calcium imaging, and correlated brain-wide dynamics with sensory processing (<xref ref-type="sec" rid="s12">Supplementary Figure S2A</xref>). In millimeter-sized organisms, such as <italic>Caenorhabditis elegans</italic> and <italic>Hydra vulgaris</italic>, the nano-SPEAR platform overcame movement limitations and used subcellular-scale electrodes to measure and correlate precise electrical pattern to specific behaviors (<xref ref-type="bibr" rid="B34">Lockery et al., 2012</xref>; <xref ref-type="bibr" rid="B20">Hu et al., 2014</xref>; <xref ref-type="bibr" rid="B12">Dupre and Yuste, 2017</xref>; <xref ref-type="bibr" rid="B15">Gonzales et al., 2017</xref>; <xref ref-type="bibr" rid="B3">Badhiwala et al., 2018</xref>; <xref ref-type="bibr" rid="B16">Gonzales et al., 2020</xref>; <xref ref-type="bibr" rid="B33">Liu Z. et al., 2024</xref>). The natural transparency of the <italic>Hydra</italic>&#x2019;s body enabled simultaneous calcium imaging and electrophysiology. This integrated approach made it possible to map the neuronal networks responsible for key behaviors. For example, an ectodermal contraction burst (CB) network was found to underlie longitudinal contractions, while two rhythmic potential (RP) networks (one ectodermal and one endodermal) were found to be active during elongations in response to light and radial contractions (<xref ref-type="bibr" rid="B3">Badhiwala et al., 2018</xref>; <xref ref-type="bibr" rid="B4">Badhiwala et al., 2021</xref>; <xref ref-type="bibr" rid="B16">Gonzales et al., 2020</xref>).</p>
<p>Using a more classical approach, we successfully recorded electrophysiological signals from <italic>Hydra vulgaris</italic> polyps by gently trapping a small portion of tissue within a glass suction microelectrode (<xref ref-type="sec" rid="s12">Supplementary Figure S2B</xref>), (<xref ref-type="bibr" rid="B46">Tommasini et al., 2023</xref>). This approach enabled stable recordings of bioelectrical signals and revealed that conjugated semiconductor oligomers modulate <italic>Hydra</italic>&#x2019;s electrical pattern by accelerating contraction pulse (CP) frequency and selectively targeting specific neuronal circuits (<xref ref-type="bibr" rid="B46">Tommasini et al., 2023</xref>; <xref ref-type="bibr" rid="B47">Tommasini et al., 2025</xref>). Based on this knowledge and considering the practical advantages of the <italic>Hydra vulgaris</italic> model, our aim was to develop a widely accessible system to record small animal electrical activity, broadening the neurobiologist community studying bioelectricity in a model organism. By employing a commercially available MEA system, originally designed for cells growing in monolayer, and with the aid of a simple custom-made adapter, we recorded <italic>Hydra</italic> electrical activity over long periods, and achieved reliable and reproducible electrical patterns. Importantly, we developed a custom code to analyze spontaneous electrophysiological patterns, featuring contraction bursts, single pulses, and inter-contraction period intervals. While the current standard for behavioral analysis relies on imaging-based tracking of micromovements (<xref ref-type="bibr" rid="B3">Badhiwala et al., 2018</xref>), our algorithm provides a complementary approach based on measurable parameters, allowing comparison between various physiological states. Our approach, by integrating electrical and behavioral evidence, will enable to perform functional study on <italic>Hydra</italic> neuronal networks, up to date limited to calcium imaging and depending on genetic transformation, and will also broadly impact on the emerging field of deciphering bioelectricity in small animal models.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<label>2</label>
<title>Materials and methods</title>
<sec id="s2-1">
<label>2.1</label>
<title>
<italic>Hydra</italic> culture</title>
<p>See Supplementary Material.</p>
</sec>
<sec id="s2-2">
<label>2.2</label>
<title>Tailoring MEA chambers for <italic>Hydra</italic> bioelectrical recording</title>
<p>Electrophysiological recordings from <italic>Hydra</italic> polyps were performed using the MEA2100-Lite System (Multi Channel Systems, Reutlingen, Germany), controlled by the Multi Channel Experimenter Software. Recordings, consisting of 60 traces (<italic>Channel Number</italic>) per registration, were performed from a single animal and acquired at a sampling rate of 10&#xa0;kHz. The data were exported as Hierarchical Data Format 5 (HDF5) using the Multi Channel Data Manager (Ver. 1.14.9.22193) software and subsequently analyzed by a custom-made MATLAB (MathWorks, Natick, MA) script (<xref ref-type="bibr" rid="B42">Santillo et al., 2025</xref>).</p>
<p>3D MEAs were used to closely interface with the <italic>Hydra</italic> cell layer and achieve a higher spatial electrical resolution. The MEA consisted of 60 titanium nitride electrodes, 100 <inline-formula id="inf1">
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</inline-formula> in height designed to limit the movements and improve tissue contact (60-3DMEA250/12/100iR-Ti-gr, Multi Channel Systems MCS GmbH).</p>
<p>Recordings were performed with <italic>Hydra</italic> positioned either parallel <inline-formula id="inf2">
<mml:math id="m2">
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<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> or perpendicular <inline-formula id="inf3">
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<mml:mo stretchy="false">(</mml:mo>
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<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> to the MEA electrodes&#x2019; area using two biocompatible Polydimethylsiloxane (PDMS) (Sylgard184, Dow Corning) custom-made caps (<xref ref-type="fig" rid="F1">Figures 1A,B</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>
<italic>Hydra vulgaris</italic> on MEA. <bold>(A)</bold> PDMS millimeter-sized channel with the polyp positioned perpendicular <inline-formula id="inf4">
<mml:math id="m4">
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<mml:mrow>
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</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> to the 3D MEA electrodes&#x27; area (N &#x3d; 5); <bold>(B)</bold> PDMS cap adapted to a 3D MEA with the polyp positioned parallel (&#x2251;) to the electrodes&#x2019; area (N &#x3d; 5); <bold>(C)</bold> Representative extracellular recording (MEA2100-Lite System) with the insets indicating the CPs (red&#x2010;bordered boxes) and the CBs (white&#x2010;bordered box). Rhythmic potentials (RPs) are indicated by a white arrow; <bold>(D)</bold> Representative recording of bioelectrical activity of anaesthetized <italic>Hydra</italic> and its recovery after washout. <bold>(E)</bold> Temporal synchrony in signal propagation across sixty channels, each represented by a distinct color.</p>
</caption>
<graphic xlink:href="fbioe-13-1736024-g001.tif">
<alt-text content-type="machine-generated">Panels A and B are schematic drawings of biological samples positioned in a PDMS dish on a multielectrode array platform, including zoomed-in views of the samples. Panel C displays a voltage spike trace with an inset highlighting detailed waveforms. Panel D is a voltage trace following anesthesia and subsequent washout periods. Panel E depicts sixty simultaneous recording traces as a multicolor waveform plot over time, with a two-minute scale bar..</alt-text>
</graphic>
</fig>
<p>For the parallel configuration, soft lithography replica molding process was employed to create a 2 &#xd7; 1&#xa0;mm chamber with a height of 50 <inline-formula id="inf6">
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<mml:mtext>m</mml:mtext>
</mml:mrow>
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</inline-formula> to gently confine <italic>Hydra</italic> polyp without causing mechanical damage, ensuring extensive electrical coupling while maintaining viability. A silicon wafer was used as photomask substrate, sequentially cleaned with acetone, deionized (DI) water, and isopropanol, and then dried under a nitrogen flow. A negative photoresist (<inline-formula id="inf7">
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</inline-formula>, MicroChem) was spin coated at <inline-formula id="inf8">
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</inline-formula> (w/w) ratio, then degassed under vacuum for 30&#xa0;min to remove air bubbles and ensure optical transparency. The resulting mixture was subsequently poured onto the prepared SU8 mold, previously treated with Chlorotrimethylsilane (<inline-formula id="inf13">
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<p>For perpendicular configuration recordings, we fabricated a PDMS cylinder without using mold to allow faster prototyping. The PDMS mixture was prepared as previously, degassed, and poured directly into a clean silicon wafer and then cured on a hot plate (100&#xa0;&#xb0;C, 1&#xa0;h). Once cured, the PDMS sheet was peeled off and cut into a cylinder (<inline-formula id="inf15">
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</inline-formula> diameter) compatible with the MEA dimension. A central hole (<inline-formula id="inf17">
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</sec>
<sec id="s2-3">
<label>2.3</label>
<title>A code for <italic>Hydra</italic> biosignals analysis</title>
<p>To enable the accurate and automated detection of peaks in extracellular <italic>Hydra</italic> recordings, we developed a signal processing algorithm, named Hy_CP_Sorting, which exploits the temporal and morphological features of the signal (<xref ref-type="bibr" rid="B42">Santillo et al., 2025</xref>). In this section, we provide a formal and mathematical description of its main components. <xref ref-type="sec" rid="s12">Supplementary Table S1</xref> reports the parameters that define the conditions for classifying and quantifying <italic>Hydra</italic> events, while <xref ref-type="sec" rid="s12">Supplementary Table S2</xref> describes the typology of characterized events.</p>
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<label>(1)</label>
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<p>For CP peak detection, the algorithm utilizes a numerical method inspired on Taylor series expansion integrating both the slope (first derivative) and concavity (second derivative) signal information. To enhance accuracy, derivatives were calculated using the centered finite difference method for equally spaced data that estimates derivatives using a finite time interval <inline-formula id="inf23">
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<mml:mo>&#x2b;</mml:mo>
<mml:mi>&#x3b8;</mml:mi>
<mml:mo>/</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:mfenced>
<mml:mo>&#x2212;</mml:mo>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x3b8;</mml:mi>
<mml:mo>/</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where <inline-formula id="inf28">
<mml:math id="m31">
<mml:mrow>
<mml:mi>&#x3b8;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mtext mathvariant="italic">Time Threshold</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>, i.e., the time window used for the derivative.</p>
<p>Similarly, the second derivative, <xref ref-type="disp-formula" rid="e4">Equation 4</xref>, is estimated by applying a finite-difference scheme to already computed first-derivative values, rather than using a direct second-order approximation on the original signal:<disp-formula id="e4">
<mml:math id="m32">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mi>f</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2033;</mml:mo>
</mml:mrow>
</mml:msup>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msup>
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<mml:mi>f</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2032;</mml:mo>
</mml:mrow>
</mml:msup>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>&#x3b8;</mml:mi>
<mml:mo>/</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:mfenced>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi>f</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2032;</mml:mo>
</mml:mrow>
</mml:msup>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x3b8;</mml:mi>
<mml:mo>/</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>&#x3b8;</mml:mi>
<mml:mo>/</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:mfenced>
<mml:mo>&#x2212;</mml:mo>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x3b8;</mml:mi>
<mml:mo>/</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
</p>
<p>Although this procedure may introduce an increased numerical sensitivity compared to classical second-order schemes derived from the Taylor expansion, i.e., may be more sensitive to noise, it resulted, in our context, effective in discriminating between true biological events and transient fluctuations (possibly emphasizing dynamic changes in signal curvature that are critical for identifying genuine peaks, <xref ref-type="fig" rid="F2">Figure 2A</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Hy_CP_Sorting Algorithm: Peak Alignment. <bold>(A)</bold> Peaks detection (successive derivative method) in a representative recording (one of ten); <bold>(B)</bold> Six representative recordings (three per condition) in their original length (black traces) overlapped with segments (red and light blue traces) restricted to a time window of <inline-formula id="inf29">
<mml:math id="m33">
<mml:mrow>
<mml:mn>565.519</mml:mn>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and used for the comparative analysis between conditions (<xref ref-type="bibr" rid="B42">Santillo et al., 2025</xref>). Red arrows mark the pre-peak interval to be removed after peak alignment. The green arrow marks the terminal interval between the last peak and the time window standardization.</p>
</caption>
<graphic xlink:href="fbioe-13-1736024-g002.tif">
<alt-text content-type="machine-generated">Graf A displays a series of recordings with voltage peaks marked by pink circles. Graph B consists of six segments depicting analyzed data in different configurations, highlighted in red and blue against black original length recordings. Axes show time in seconds. Red arrows mark the pre-peak interval to be removed after peak alignment. The green arrow marks the terminal interval between the last peak and the time window standardization.</alt-text>
</graphic>
</fig>
<p>Indeed, peaks were identified only if the following conditions were simultaneously satisfied:<list list-type="bullet">
<list-item>
<p>the smoothed signal exceeded the <italic>Normalized Threshold</italic>;</p>
</list-item>
<list-item>
<p>the first derivative was positive (indicating a rising edge);</p>
</list-item>
<list-item>
<p>a change in signal concavity, defined by a transition in the second derivative, was observed.</p>
</list-item>
</list>
</p>
<p>After detecting a valid peak (<xref ref-type="disp-formula" rid="e3">Equations 3</xref>, <xref ref-type="disp-formula" rid="e4">4</xref>), the algorithm skips ahead by a fixed interval (<italic>Refractory Period</italic>) to avoid detecting redundant or overlapping peaks. Once CPs are identified, all time series are realigned so that the first event is set as zero, effectively discarding the pre-peak interval (red arrow in <xref ref-type="fig" rid="F2">Figure 2B</xref>) and subsequent peak times are re-expressed in the relative form:<disp-formula id="equ1">
<mml:math id="m34">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>The final length of each recording <inline-formula id="inf30">
<mml:math id="m35">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">final,q</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> is computed to define a common comparison window <inline-formula id="inf31">
<mml:math id="m36">
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo stretchy="false">)</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> between conditions:<disp-formula id="equ2">
<mml:math id="m37">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo>&#x2264;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2264;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">last</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>where:<disp-formula id="equ3">
<mml:math id="m38">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">last</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">final,q</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>In this restricted time window (analyzed segment <xref ref-type="fig" rid="F2">Figure 2B</xref>), the algorithm quantifies and classifies <italic>Hydra</italic> CP events, realigns them in a new matrix (<inline-formula id="inf32">
<mml:math id="m39">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, raster plot of <xref ref-type="fig" rid="F3">Figure 3</xref>), and computes inter-peak intervals as:<disp-formula id="equ4">
<mml:math id="m40">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3b4;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfenced>
<mml:mo>,</mml:mo>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>while the last interval as:<disp-formula id="equ5">
<mml:math id="m41">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3b4;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">last</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
<mml:mo>,</mml:mo>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">last</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>(green arrow in <xref ref-type="fig" rid="F2">Figures 2B</xref>, <xref ref-type="fig" rid="F3">3</xref>). Each <inline-formula id="inf33">
<mml:math id="m42">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3b4;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (CP duration, CPI) is classified as a CP (component of a burst) if <inline-formula id="inf34">
<mml:math id="m43">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3b4;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3c;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> <italic>CP Threshold</italic> or as an IcBI (Intercontraction Burst Interval) if <inline-formula id="inf35">
<mml:math id="m44">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3b4;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2265;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> <italic>IcBI Threshold</italic> and in the latter case, the burst counter (nBurst) is incremented by one.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Hy_CP_Sorting Algorithm: Peaks Distribution. Temporal distribution (Raster Plot) of detected peaks both in the original full-length traces (black traces) and in their restricted segments (red and light blue traces). The enlarged inset highlights the events confined in the standardized time window optimized for the statistical analysis (<xref ref-type="bibr" rid="B42">Santillo et al., 2025</xref>). Green arrows mark the terminal interval between the last peak and the time window standardization.</p>
</caption>
<graphic xlink:href="fbioe-13-1736024-g003.tif">
<alt-text content-type="machine-generated">The upper graph shows peak occurrence frequency as vertical bars: black for original traces, blue and red for standardized traces under different conditions. The lower graph provides a zoomed view of the blue and red bars, connected by a red dashed line, highlighting the shorter trace at 565.519 seconds. Green arrows mark the terminal interval between the last peak and the time window standardization.</alt-text>
</graphic>
</fig>
<p>Specifically, Hy_CP_Sorting computes (<xref ref-type="sec" rid="s12">Supplementary Figure S3</xref>; <xref ref-type="sec" rid="s12">Supplementary Table S2</xref>):<list list-type="bullet">
<list-item>
<p>the single CP duration (Contraction pulse interval, CPI), their sum for burst (<inline-formula id="inf36">
<mml:math id="m45">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>Burst</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">Time</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) and their sum for recording file (<inline-formula id="inf37">
<mml:math id="m46">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>C</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">Time</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>);</p>
</list-item>
<list-item>
<p>the intercontraction burst duration (IcBI) and their sum (<inline-formula id="inf38">
<mml:math id="m47">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>E</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">Time</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>);</p>
</list-item>
<list-item>
<p>the number of bursts (nBurst) and the number of IcBI (nIcBI);</p>
</list-item>
<list-item>
<p>the number of CP events for each burst (<inline-formula id="inf39">
<mml:math id="m48">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>nCP</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">Burst</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) and recording file (nCP).</p>
</list-item>
</list>
</p>
<p>In addition, a <italic>Hydra Activity Index</italic> (<inline-formula id="inf40">
<mml:math id="m49">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>Hy</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>AI</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), <xref ref-type="disp-formula" rid="e5">Equation 5</xref>, is calculated by the relationship between the duration of all contraction pulses (<inline-formula id="inf41">
<mml:math id="m50">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>C</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">Time</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) and the duration of all IcBI (<inline-formula id="inf42">
<mml:math id="m51">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>E</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">Time</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>).<disp-formula id="e5">
<mml:math id="m52">
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>y</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>AI</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mo>&#x2211;</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
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<label>(5)</label>
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</p>
<p>This index provides a quantitative measure of the state of activity of the animal, reflecting the balance between contractile (time allocated to CP events) and elongation behavior (time allocated to IcBI events).</p>
</sec>
<sec id="s2-4">
<label>2.4</label>
<title>Statistical analysis</title>
<p>A two-sample <italic>t</italic>-test was performed for statistical significance of mean differences <inline-formula id="inf43">
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</p>
</sec>
</sec>
<sec sec-type="results|discussion" id="s3">
<label>3</label>
<title>Results and discussion</title>
<p>The primary objective of this study was to develop a user-friendly tool to perform extracellular electrophysiological recordings in a whole animal, using a compact commercial system, and to establish a method for analyzing its electrical activity. For this purpose, we employed a three-dimensional multielectrode array (3D MEA) to promote optimal contact between electrodes and <italic>Hydra</italic> tissues. Recordings were conducted by positioning polyps in two distinct configurations, either perpendicular <inline-formula id="inf52">
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</inline-formula> or parallel (&#x2251;) to MEA area, to preserve the spontaneous behavior of the animal while maximizing signal quality. In the perpendicular configuration, each polyp was gently inserted into a millimeter sized vertical channel molded into a PDMS disk, with its foot in contact with one or two microelectrodes (<xref ref-type="fig" rid="F1">Figure 1A</xref>). Alternatively, in the parallel configuration, the polyp is aligned longitudinally along the electrode area and animal movements are spatially confined by a chamber dug in a PDMS cap structure (<xref ref-type="fig" rid="F1">Figure 1B</xref>).</p>
<p>Recordings in both configurations, (&#x2251; N &#x3d; 5; <inline-formula id="inf55">
<mml:math id="m66">
<mml:mrow>
<mml:mo>&#x22a5;</mml:mo>
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</inline-formula> N &#x3d; 5), revealed a bioelectrical activity pattern consistent with previous studies (<xref ref-type="bibr" rid="B3">Badhiwala et al., 2018</xref>; <xref ref-type="bibr" rid="B16">Gonzales et al., 2020</xref>; <xref ref-type="bibr" rid="B46">Tommasini et al., 2023</xref>; <xref ref-type="bibr" rid="B47">Tommasini et al., 2025</xref>). High-amplitude field potentials, named contraction pulses (CPs, <xref ref-type="fig" rid="F1">Figure 1C</xref>, red-bordered box), which are generated by the synchronous bioelectrical activity of large cellular populations, appeared in rhythmic sequences known as contraction bursts (CBs, <xref ref-type="fig" rid="F1">Figure 1C</xref>, white-bordered box). These bursts are typically associated with the activity of longitudinal myofibrils in the outer layer of the epitheliomuscular cells and with <italic>Hydra</italic> full-body contraction behavior (<xref ref-type="bibr" rid="B43">Taddei-Ferretti and Cordella, 1976</xref>; <xref ref-type="bibr" rid="B3">Badhiwala et al., 2018</xref>).</p>
<p>Low-amplitude electrical events between CBs (<xref ref-type="fig" rid="F1">Figure 1C</xref>, white arrow), identified as rhythmic potentials (RPs) and triggered by contractions of circular myofibrils in the inner tissue layer, were occasionally observed during recordings in parallel configuration suggesting that by improving the tissue-electrode coupling, this recording system reliably enables for studying the bioelectrical behavioral signalling evoked by both ectodermal and endodermal circuits.</p>
<p>The accuracy and sensitivity of this recording system were further confirmed by treating <italic>Hydra</italic> with urethane, a known anesthetic in some invertebrates (<xref ref-type="bibr" rid="B37">Michelson, 1958</xref>). As shown in <xref ref-type="fig" rid="F1">Figure 1D</xref>, the anaesthetized polyp exhibited a slow bioelectrical activity, which recovered to a normal frequency after washing (white arrow).</p>
<p>Interestingly, overlaying the sixty traces revealed high synchronous signal propagation across all channels in each recording, although signal amplitudes varied significantly (<xref ref-type="fig" rid="F1">Figure 1E</xref>). This is likely due to the compact micrometric geometry of the MEA, designed to register small events (action potentials), compared to the signal magnitude of a millimeter-sized animal. To address amplitude inconsistencies and optimize events detection, we implemented a code, Hy_CP_Sorting, that identifies and classifies events based on their temporal and morphological features (<xref ref-type="sec" rid="s12">Supplementary Figure S3</xref>), rather than the absolute amplitude (<xref ref-type="bibr" rid="B42">Santillo et al., 2025</xref>). Furthermore, to prevent physiological low-amplitude events from being attenuated by averaging traces across all channels and falling below the established peak detection threshold (<italic>Normalized Threshold</italic>), we selected and analyzed the trace with the highest signal-to-noise ratio among the 60 channels, ensuring a consistent identification of all valid electrophysiological events.</p>
<p>After detecting CPs (<xref ref-type="disp-formula" rid="e3">Equations 3</xref>, <xref ref-type="disp-formula" rid="e4">4</xref>; <xref ref-type="fig" rid="F2">Figure 2A</xref>; see <italic>Materials and Methods</italic>), the analysis code temporally aligned all traces at their first peak, excluding the preceding data (red arrows in <xref ref-type="fig" rid="F2">Figure 2B</xref>). Then, it standardized each segment to the duration of the shortest trace <inline-formula id="inf56">
<mml:math id="m67">
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</mml:mrow>
</mml:math>
</inline-formula> enabling consistent cross-recording comparisons. In our datasets, this procedure allowed the analysis of segments up to 565.519&#xa0;s.</p>
<p>Six representative traces (black traces) from ten recordings (five per condition for a total of 10 polyps used, <xref ref-type="sec" rid="s12">Supplementary Figure S2B</xref>, <xref ref-type="sec" rid="s12">Supplementary Tables S4, 5</xref>) overlaid with their respective standardized segments (red and light blue traces), while <xref ref-type="fig" rid="F3">Figure 3</xref> visualizes the raster plot that compares the temporal distribution of detected peaks in all ten recordings, with both the original and the analyzed segments superimposed, and the inset highlighting events detected in the standardized time window. The green arrow (<xref ref-type="fig" rid="F2">Figures 2B</xref>, <xref ref-type="fig" rid="F3">3</xref>) indicates the terminal interval between the last detected peak and the endpoint defined by the shortest trace (<inline-formula id="inf57">
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</inline-formula>), classified either as a CP event or IcBI interval depending on the <italic>IcBI/CP Threshold</italic> criteria. The statistical comparison (two-sample <italic>t</italic>-test, <inline-formula id="inf58">
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</inline-formula>) revealed significant differences with the perpendicular modality (red box) exhibiting a longer mean duration of CP (CPI boxplot, <xref ref-type="fig" rid="F4">Figure 4Ai</xref>) and a lower IcBI (IcBI boxplot, <xref ref-type="fig" rid="F4">Figure 4Aiv</xref>). Despite this significant difference, the average <inline-formula id="inf61">
<mml:math id="m72">
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</mml:mrow>
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</mml:mrow>
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</inline-formula> (<inline-formula id="inf62">
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<mml:mrow>
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</mml:mrow>
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</mml:mrow>
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</inline-formula> (<xref ref-type="sec" rid="s12">Supplementary Tables S3, 4</xref>) resulted longer under parallel conditions (light blue box) and with a higher number of CP per burst (<inline-formula id="inf64">
<mml:math id="m75">
<mml:mrow>
<mml:msub>
<mml:mrow>
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</mml:mrow>
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<mml:mi mathvariant="italic">BURST</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> boxplot, <xref ref-type="fig" rid="F4">Figure 4Aii</xref>). This resulted in a favorable activity index for the parallel conformation (3 out of 5) (<xref ref-type="sec" rid="s12">Supplementary Tables S4</xref>), suggesting infrequent contractions and greater variability in the perpendicular modality. This is further confirmed by the coefficient of variation <inline-formula id="inf65">
<mml:math id="m76">
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</inline-formula>&#x2a;, (<xref ref-type="sec" rid="s12">Supplementary Tables S3</xref>), and is probably due to the frequent uncoupling of the <italic>Hydra</italic> foot from the electrode surface.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Comparison between perpendicular and parallel conditions. <bold>(A)</bold> Box plots showing the statistical significance of the mean differences between perpendicular <inline-formula id="inf66">
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</inline-formula>); <bold>(B)</bold> Biplot of the two principal components (PC1 and PC2), which together explain 85.1% of the total variance (PC1: 63.6%; PC2: 21.5%). The main parameters of both conditions are plotted according to their scores (inset) with the light blue arrows representing their contribution and direction in the PCA space; shaded ellipses denote the confidence intervals for each group.</p>
</caption>
<graphic xlink:href="fbioe-13-1736024-g004.tif">
<alt-text content-type="machine-generated">Box plots and PCA biplot demonstrating differences in variables. Panel A shows box plots highlighting significant differences between groups for CPI, nCPBURST, BurstTime, and IcBI. Red and blue colors distinguish groups. Panel B illustrates a PCA biplot with PC1 and PC2 axes showing the percentage variance. Loadings for variables are indicated with arrows. Squares represent observations within the first two principal components.</alt-text>
</graphic>
</fig>
<p>In order to investigate and identify the most informative variables influencing the bioelectrical pattern of the two experimental conditions, we performed the principal components analysis (PCA) on the main <italic>Hydra</italic> parameters, i.e., <inline-formula id="inf69">
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</mml:math>
</inline-formula>, nBurst, nCP. The biplot (<xref ref-type="fig" rid="F4">Figure 4B</xref>) reveals a clear segregation between the two experimental conditions, with the principal component 1 (PC1) accounting for 63.6% of the variance. The PC1 was predominantly driven by higher loadings for <inline-formula id="inf71">
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</inline-formula> and CPI (see inset <xref ref-type="fig" rid="F4">Figure 4</xref>), identifying these parameters as key discriminators between groups. In contrast, PC2 (accounting for 21.5% of the variance), showed a high loading for burst number (nBurst), indicating that this parameter is the dominant source of variability within groups. This pattern is further supported by the non-overlapping confidence ellipses, which reflect the distinct dispersion profiles of the two conditions.</p>
<p>Taken together, these findings indicate that the <inline-formula id="inf73">
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</inline-formula> and the nCP are key discriminators between the two recording configurations. They significantly and positively influence the dynamics of electrical patterns, generating more continuous bursting activity in the parallel configuration, whereas the perpendicular setup exhibits sustained, but less frequent contractions with greater variability resulting from the discontinuos coupling of the foot and electrodes.</p>
<p>In conclusion, the parallel configuration improves signal detection thanks to extensive contact with the MEA, while the microchannel structure better preserves the animal&#x2019;s natural behavior. These findings highlight the strict dependency of the recordings from the device architecture, suggesting the need for an alternative integrated electronic platform that reconciles these competing requirements. A promising compromise could involve horizontally oriented microchannels housing flattened microelectrodes arranged circularly, longitudinally, or transversely along the channel length. The optimized configuration should provide broad electrical interfacing while preserving the animal&#x2019;s morphology and behavior, avoiding tissue damage associated with 3D electrodes, and mitigating limitations in spatial resolution. In addition, the integration of suction valves (<xref ref-type="bibr" rid="B20">Hu et al., 2014</xref>; <xref ref-type="bibr" rid="B33">Liu Z. et al., 2024</xref>) would stabilize animal positioning during long-term electrophysiology recordings, while complementary side channels would facilitate continuous perfusion to prevent medium evaporation and maintain physiological stability. Optical transparency of the custom chip would also enable high-resolution bright-field and fluorescence imaging to correlate electrophysiological signals with functional calcium dynamics. Such a platform, including soft alternatives (<xref ref-type="bibr" rid="B23">Kalmykov et al., 2019</xref>; <xref ref-type="bibr" rid="B24">Kalmykov et al., 2021</xref>; <xref ref-type="bibr" rid="B28">Li et al., 2019</xref>; <xref ref-type="bibr" rid="B29">Li H. et al., 2023</xref>; <xref ref-type="bibr" rid="B2">Armada-Moreira et al., 2023</xref>), would provide a robust framework to dissect the neural circuits underlying <italic>Hydra</italic>&#x2019;s behavioral repertoire and establish this animal as a powerful model for neuromodulation and neurotoxicology studies.</p>
</sec>
<sec sec-type="conclusion" id="s4">
<label>4</label>
<title>Conclusion</title>
<p>We successfully recorded the bioelectrical activity of <italic>Hydra vulgaris</italic> using the MEA2100-Lite system, a commercially available system, in combination with 3D MEAs adapted to maximize tissue&#x2013;electrode coupling and allow animal&#x2019;s natural behavior, which are two key factors for reliable physiological recordings. We developed a custom algorithm for signal processing to detect and classify events in <italic>Hydra</italic>&#x2019;s bioelectrical pattern. The insights gained from these findings, with their limits, will enable widespread use of the multielectrode technologies among neuroscientists studying bioelectricity in complex systems, where beside the neurons, other cells exhibit electrical activity and contribute to the behavioral patterns. Our results also highlight the crucial contribution of the device configuration on the bioelectrical outcomes, and by identifying the key parameters mainly contributing to the observed signals underpins the development of microfluidic-electronic architectures optimized to balance mechanical confinement and behavioral freedom.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="sec" rid="s12">Supplementary Material</xref>, further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec sec-type="ethics-statement" id="s6">
<title>Ethics statement</title>
<p>The manuscript presents research on animals that do not require ethical approval for their study.</p>
</sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>MB: Investigation, Writing &#x2013; review and editing. CZ: Writing &#x2013; review and editing, Methodology, Investigation. DI: Writing &#x2013; review and editing. GT: Writing &#x2013; review and editing. GC: Conceptualization, Supervision, Writing &#x2013; review and editing. FG: Methodology, Writing &#x2013; review and editing. AT: Conceptualization, Writing &#x2013; review and editing. SS: Conceptualization, Methodology, Software, Data curation, Writing &#x2013; review and editing, Writing &#x2013; original draft. CT: Conceptualization, Supervision, Writing &#x2013; review and editing.</p>
</sec>
<ack>
<title>Acknowledgements</title>
<p>The authors thank Carmine D&#x2019;Alessandro for suggestions on the implementation of MATLAB code and Giuseppe Cacace for technical assistance in <italic>Hydra</italic> culturing.</p>
</ack>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>The author(s) declared that this work was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest. </p>
<p>The author AT declared that they were an editorial board member of Frontiers at the time of submission. This had no impact on the peer review process and the final decision.</p>
</sec>
<sec sec-type="ai-statement" id="s10">
<title>Generative AI statement</title>
<p>The author(s) declared that generative AI was not 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="s11">
<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>
<sec sec-type="supplementary-material" id="s12">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fbioe.2025.1736024/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fbioe.2025.1736024/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Supplementaryfile1.pdf" id="SM1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
<fn-group>
<fn fn-type="custom" custom-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1103326/overview">S&#xe1;ndor Valkai</ext-link>, HUN-REN Biological Research Centre, Hungary</p>
</fn>
<fn fn-type="custom" custom-type="reviewed-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/305665/overview">Andr&#xe1;s D&#xe9;r</ext-link>, Hungarian Academy of Sciences (MTA), Hungary</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3200284/overview">Jannes Freiberg</ext-link>, Christian-Albrecht University of Kiel, Germany</p>
</fn>
</fn-group>
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