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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Sustain. Food Syst.</journal-id>
<journal-title-group>
<journal-title>Frontiers in Sustainable Food Systems</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Sustain. Food Syst.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2571-581X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fsufs.2026.1788171</article-id>
<article-version article-version-type="Version of Record" vocab="NISO-RP-8-2008"/>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Physicochemical, functional, and structural properties of ultrasound-treated pearl millet (<italic>Pennisetum glaucum</italic>) grains</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>AlGhamdi</surname>
<given-names>Fatima Ali</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/3391622"/>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Funding acquisition" vocab-term-identifier="https://credit.niso.org/contributor-roles/funding-acquisition/">Funding acquisition</role>
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<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Formal analysis" vocab-term-identifier="https://credit.niso.org/contributor-roles/formal-analysis/">Formal analysis</role>
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<contrib contrib-type="author">
<name>
<surname>Hassan</surname>
<given-names>Amro B.</given-names>
</name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/3350745"/>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="methodology" vocab-term-identifier="https://credit.niso.org/contributor-roles/methodology/">Methodology</role>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Alshammari</surname>
<given-names>Ghedeir M.</given-names>
</name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2867218"/>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; original draft" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-original-draft/">Writing &#x2013; original draft</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="visualization" vocab-term-identifier="https://credit.niso.org/contributor-roles/visualization/">Visualization</role>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>AlTamimi</surname>
<given-names>Jozaa Zaidan</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/1127380"/>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Data curation" vocab-term-identifier="https://credit.niso.org/contributor-roles/data-curation/">Data curation</role>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Aljabryn</surname>
<given-names>Dalal H.</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/3391973"/>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="methodology" vocab-term-identifier="https://credit.niso.org/contributor-roles/methodology/">Methodology</role>
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</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>AlFaris</surname>
<given-names>Nora Abdullah</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
</contrib>
</contrib-group>
<aff id="aff1"><label>1</label><institution>Department of Sports Health, College of Sports Sciences &#x0026; Physical Activity, Princess Nourah Bint Abdulrahman University</institution>, <city>Riyadh</city>, <country country="sa">Saudi Arabia</country></aff>
<aff id="aff2"><label>2</label><institution>Department of Food Science and Nutrition, College of Food and Agricultural Sciences, King Saud University</institution>, <city>Riyadh</city>, <country country="sa">Saudi Arabia</country></aff>
<author-notes>
<corresp id="c001"><label>&#x002A;</label>Correspondence: Nora Abdullah AlFaris, <email xlink:href="mailto:naalfaris@pnu.edu.sa">naalfaris@pnu.edu.sa</email></corresp>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-02-23">
<day>23</day>
<month>02</month>
<year>2026</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2026</year>
</pub-date>
<volume>10</volume>
<elocation-id>1788171</elocation-id>
<history>
<date date-type="received">
<day>15</day>
<month>01</month>
<year>2026</year>
</date>
<date date-type="rev-recd">
<day>08</day>
<month>02</month>
<year>2026</year>
</date>
<date date-type="accepted">
<day>10</day>
<month>02</month>
<year>2026</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2026 AlGhamdi, Hassan, Alshammari, AlTamimi, Aljabryn and AlFaris.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>AlGhamdi, Hassan, Alshammari, AlTamimi, Aljabryn and AlFaris</copyright-holder>
<license>
<ali:license_ref start_date="2026-02-23">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>
<sec>
<title>Introduction</title>
<p>This study evaluated the effect of ultrasound treatment time and temperature on the physicochemical, antioxidant, pasting, and textural properties of millet grains.</p>
</sec>
<sec>
<title>Methods</title>
<p>Samples were treated for 20, 40, or 60&#x202F;min at 20, 40, or 60 &#x00B0;C. Color parameters, total phenolic content (TPC), total flavonoid content (TFC), antioxidant activity (ABTS, FRAP, and DPPH), pasting properties, and texture profile were analyzed.</p>
</sec>
<sec>
<title>Results</title>
<p>Ultrasound significantly affected all physicochemical parameters (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05). Lightness (<italic>L</italic>&#x002A;) and total color difference (&#x0394;<italic>E</italic>) increased, particularly at 20&#x202F;min and 40&#x2013;60 &#x00B0;C. TPC increased at 20 and 60&#x202F;min and at 60 &#x00B0;C, while TFC peaked at 40 &#x00B0;C. Antioxidant activity improved at moderate temperatures, with assay-dependent responses. Ultrasound treatment also reduced pasting properties and texture parameters, indicating structural modifications in starch and grain matrix.</p>
</sec>
<sec>
<title>Discussion</title>
<p>Overall, ultrasound enhanced color attributes, phenolic extraction, and antioxidant capacity while modifying technological properties. The most favorable effects were observed at 20&#x202F;min and 40&#x2013;60 &#x00B0;C, suggesting ultrasound as a promising eco-friendly technique to improve the quality and industrial value of millet-based products.</p>
</sec>
</abstract>
<kwd-group>
<kwd>antioxidant capacity</kwd>
<kwd>millet</kwd>
<kwd>pasting properties</kwd>
<kwd>texture profile</kwd>
<kwd>ultrasonic</kwd>
</kwd-group>
<funding-group>
<funding-statement>The author(s) declared that financial support was not received for this work and/or its publication.</funding-statement>
</funding-group>
<counts>
<fig-count count="0"/>
<table-count count="5"/>
<equation-count count="1"/>
<ref-count count="36"/>
<page-count count="7"/>
<word-count count="5248"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Sustainable Food Processing</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec1">
<label>1</label>
<title>Introduction</title>
<p>Grains constitute a fundamental component of the global diet, providing essential nutrients, dietary fiber, and bioactive compounds. Among these, millet is recognized as a highly nutritious cereal belonging to the <italic>Poaceae</italic> family and is extensively cultivated in semi-arid and arid regions due to its remarkable tolerance to drought and harsh environmental conditions (<xref ref-type="bibr" rid="ref30">Saleh et al., 2013</xref>). Millet is naturally gluten-free, making it an ideal dietary alternative for individuals with wheat intolerance or celiac-related disorders (<xref ref-type="bibr" rid="ref20">Kumar et al., 2018</xref>). Pearl millet (<italic>Pennisetum glaucum</italic>) is the most widely cultivated millet species, accounting for nearly 40% of global production, followed by finger millet, foxtail millet, and proso millet (<xref ref-type="bibr" rid="ref31">Satyavathi et al., 2024</xref>). Globally, India, Niger, China, and Nigeria are the leading millet producers, each harvesting from about 2 to over 11 million tons annually (<xref ref-type="bibr" rid="ref11">Food and Agriculture Organization of the United Nations, 2023</xref>). Similarly, millet is cultivated in the Kingdom of Saudi Arabia on approximately 7,100 hectares, with a total production of about 13,600 tons reported in 2024 (<xref ref-type="bibr" rid="ref13">General Authority for Statistics, 2024</xref>). Production is primarily concentrated in traditional rain-fed farming systems in the southwestern regions, particularly Asir and Jazan (<xref ref-type="bibr" rid="ref10">Food and Agriculture Organization of the United Nations, 2022</xref>, <xref ref-type="bibr" rid="ref12">2024</xref>). These production characteristics may indicate opportunities for further development of millet cultivation, utilization, and related value-chain activities within the Kingdom.</p>
<p>Nutritionally, pearl millet is rich in macronutrients and essential minerals. It typically contains 67&#x2013;72% carbohydrates, 8&#x2013;12% dietary fiber, 13&#x2013;14% protein, and 5&#x2013;7% fat, along with 40&#x2013;45&#x202F;mg calcium, 6&#x2013;9&#x202F;mg iron, 3&#x2013;4&#x202F;mg zinc, 130&#x2013;140&#x202F;mg magnesium, and 280&#x2013;300&#x202F;mg phosphorus per 100&#x202F;g of grain (<xref ref-type="bibr" rid="ref36">Triki et al., 2025</xref>; <xref ref-type="bibr" rid="ref24">Munshi and Dashora, 2024</xref>). Additionally, whole millet grains are rich in phenolic and flavonoid compounds, with concentrations varying depending on variety, growing conditions, and processing methods (<xref ref-type="bibr" rid="ref4">Chandrasekara and Shahidi, 2011</xref>). Pearl millet contains phenolic compounds (250&#x2013;1,200&#x202F;&#x03BC;g/g DW) and flavonoids (4&#x2013;250&#x202F;&#x03BC;g/g DW), including quinic acid, p-coumaric acid, caffeic acid, catechin, epicatechin, and procyanidins, enhancing its antioxidant potential (<xref ref-type="bibr" rid="ref36">Triki et al., 2025</xref>; <xref ref-type="bibr" rid="ref17">Hassan et al., 2020</xref>). These bioactive compounds contribute to the antioxidant, antiviral, anticancer, and antiplatelet properties reported for millet (<xref ref-type="bibr" rid="ref25">Olawoye et al., 2024</xref>; <xref ref-type="bibr" rid="ref32">Shahidi and Chandrasekara, 2013</xref>). Millet also demonstrates a low glycemic index, making it beneficial for weight management and reducing the risk of metabolic diseases, including diabetes (<xref ref-type="bibr" rid="ref33">Subaitha et al., 2024</xref>; <xref ref-type="bibr" rid="ref8">Dias-Martins et al., 2018</xref>).</p>
<p>Although millet is relatively stable as a whole grain, its grains exhibits reduced shelf stability due to enzymatic activity&#x2014;particularly lipase, lipoxygenase, peroxidase, and polyphenol oxidase&#x2014;and susceptibility to lipid oxidation during storage (<xref ref-type="bibr" rid="ref14">Goswami et al., 2020</xref>). Therefore, several pre-processing strategies, including mechanical, enzymatic, and thermal treatments, have been used to enhance millet grains quality, improve the extractability of bioactive compounds, and reduce antinutritional factors (<xref ref-type="bibr" rid="ref15">Gowda et al., 2025</xref>; <xref ref-type="bibr" rid="ref30">Saleh et al., 2013</xref>).</p>
<p>Previous studies have evaluated the effects of various processing methods, including germination, microwave treatment, cold plasma, fermentation, and thermal treatments, on millet phenolic content and functional properties (<xref ref-type="bibr" rid="ref7">Choudhary et al., 2025</xref>; <xref ref-type="bibr" rid="ref27">Pradeep and Sreerama, 2015</xref>; <xref ref-type="bibr" rid="ref3">Chandrasekara et al., 2012</xref>). In search of advanced and green food processing strategies, low-frequency ultrasound (LFUS) has emerged as a promising technique due to its ability to enhance extraction efficiency, reduce treatment time and solvent usage, and induce structural modifications in starches and proteins through acoustic cavitation (<xref ref-type="bibr" rid="ref9">Estivi et al., 2022</xref>; <xref ref-type="bibr" rid="ref2">Balasubramaniam et al., 2019</xref>). Cavitation involves the formation, expansion, and collapse of microbubbles as ultrasound waves propagate through a medium, producing localized pressure and temperature changes that can disrupt cellular matrices and modify biopolymer structures (<xref ref-type="bibr" rid="ref38">Zhu et al., 2025</xref>; <xref ref-type="bibr" rid="ref23">Mounika et al., 2024</xref>; <xref ref-type="bibr" rid="ref34">Suslick, 1990</xref>). Cavitation enhances swelling power, solubility, pasting viscosity, gelation, thermal stability, and retrogradation by disrupting starch granules and influencing molecular reorganization.</p>
<p>By disrupting molecular linkages, inducing partial unfolding of peptide chains, and altering their aggregation dynamics, ultrasound treatment enhances protein solubility, surface hydrophobicity, and functional attributes such as emulsification, foaming, and gel formation (<xref ref-type="bibr" rid="ref1">Adam et al., 2025</xref>; <xref ref-type="bibr" rid="ref38">Zhu et al., 2025</xref>). Millet is traditionally cultivated in southern Saudi Arabia, particularly in Jizan, where it is used in local bread and traditional dishes. Recently, millet has gained renewed attention status, and resilience to climate change, making it an important crop for achieving food security (<xref ref-type="bibr" rid="ref20">Kumar et al., 2018</xref>). Given the nutritional importance and functional potential of millet, this study aimed to evaluate the impact of ultrasound treatment on the physicochemical characteristics, phenolic and flavonoid content, antioxidant activity, pasting behavior, and texture of millet grains.</p>
</sec>
<sec sec-type="materials|methods" id="sec2">
<label>2</label>
<title>Materials and methods</title>
<sec id="sec3">
<label>2.1</label>
<title>Sample preparation</title>
<p>Millet grains with an initial moisture content of 12% used in this study were obtained from the local market in Jazan, Saudi Arabia. The grains were then kept in plastic bags in a refrigerator at 4 &#x00B0;C until they were used for the experiments.</p>
</sec>
<sec id="sec4">
<label>2.2</label>
<title>Ultrasonic treatment</title>
<p>The ultrasonic treatments were performed using an ultrasonic equipment (Branson 2800-MH Ultrasonic Cleaner, Japan) at 250&#x202F;W and 40&#x202F;kHz. Millet grains (250&#x202F;g) were placed in a glass jar during the treatments and the millet: water ratio of 1:3 (w/v) was applied. The experiments were conducted at constant temperatures of 20, 40, and 60 &#x00B0;C for different durations of 20, 40, and 60&#x202F;min, respectively. During ultrasonic treatments, continuous steering with a glass rod is used to maintain uniform exposure to ultrasonic energy and control temperature distribution uniformity. The untreated millet grains were used as the control.</p>
</sec>
<sec id="sec5">
<label>2.3</label>
<title>Determination of millet color</title>
<p>Surface color of millet (lightness, <italic>L</italic>&#x002A;; redness, <italic>a</italic>&#x002A;; yellowness, <italic>b</italic>&#x002A;) was estimated with a CR-400 Chroma Meter, Tokyo, Japan. The equipment was calibrated using a standard white reflector plate. Three measurements were averaged, and the total color difference (&#x0394;<italic>E</italic>) was estimated using the following equation:</p>
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<mml:mo stretchy="true">(</mml:mo>
<mml:mi mathvariant="italic">&#x0394;L</mml:mi>
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<mml:mo>&#x2217;</mml:mo>
<mml:mn>2</mml:mn>
</mml:msup>
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<mml:mo stretchy="true">(</mml:mo>
<mml:mi mathvariant="italic">&#x0394;a</mml:mi>
<mml:msup>
<mml:mo>&#x2217;</mml:mo>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo stretchy="true">)</mml:mo>
<mml:mo>+</mml:mo>
<mml:mo stretchy="true">(</mml:mo>
<mml:mi mathvariant="italic">&#x0394;b</mml:mi>
<mml:msup>
<mml:mo>&#x2217;</mml:mo>
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</mml:msup>
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</sec>
<sec id="sec6">
<label>2.4</label>
<title>Phenolic compounds and antioxidant activity assessment</title>
<sec id="sec7">
<label>2.4.1</label>
<title>Phytochemical extracts preparation</title>
<p>The methanolic extracts of the pearl millet samples were prepared at a 1:25 (w/v) ratio at 25 &#x00B0;C for 24&#x202F;h, as described by <xref ref-type="bibr" rid="ref35">Talhaoui et al. (2015)</xref>.</p>
</sec>
<sec id="sec8">
<label>2.4.2</label>
<title>Total phenolic content</title>
<p>The Folin-Ciocalteu&#x2019;s reagent method of <xref ref-type="bibr" rid="ref37">Waterhouse (2002)</xref> was used to measure the TPC of the samples. The absorbance of the extract was evaluated at 765&#x202F;nm using a UV&#x2013;Vis spectrophotometer (UV-VIS PD-303 UV, Saitama, Japan). A standard curve of gallic acid was prepared at different concentrations, and the TPC of the samples was reported as mg gallic acid equivalents (GAE)/g dry weight (<italic>R</italic><sup>2</sup>&#x202F;=&#x202F;0.9974).</p>
</sec>
<sec id="sec9">
<label>2.4.3</label>
<title>Total flavonoid content</title>
<p>The TFC of the extracts was assessed as described by <xref ref-type="bibr" rid="ref19">Kim et al. (2003)</xref>. The absorbance of the extracts was read at 510&#x202F;nm using a UV-Vis spectrophotometer (Saitama, Japan). The standard curve was prepared from different concentrations of catechin (<italic>R</italic><sup>2</sup>&#x202F;=&#x202F;0.99316), and the TFC was expressed as mg catechin equivalents (mg CE/g) on a dry weight basis.</p>
</sec>
<sec id="sec10">
<label>2.4.4</label>
<title>Antioxidant activity assays</title>
<p>The scavenging activity of 2,2-diphenyl-1-picrylhydrazyl (DPPH) radicals by pearl millet extracts was measured as described by <xref ref-type="bibr" rid="ref5">Chang et al. (2001)</xref>. The spectrophotometer is used to calculate DPPH scavenging at 517&#x202F;nm. The calculated DPPH scavenging was expressed as Trolox equivalents per g (mg TE/g). The Ferric Reducing Antioxidant Power (FRAP) assay of pearl millet extracts was measured according to the procedure of <xref ref-type="bibr" rid="ref26">Oyaizu (1986)</xref>. The absorbance of the FRAP solution was detected at 593&#x202F;nm against a blank using a UV/visible spectrophotometer. Trolox was used as a standard for constructing calibration curves, and the values were expressed as micromoles Trolox equivalent (mg TE/g). The 2,2&#x2032;-azino-bis(3-ethylbenzothiazoline-6-sulfonic acid) (ABTS) radical scavenging activity of the samples was determined as described by <xref ref-type="bibr" rid="ref29">Re et al. (1999)</xref>. The ABTS mixture solution was produced and added to the extracted samples. Then, the ABTS cation radical scavenging activity was measured at 734&#x202F;nm using a UV-Vis spectrophotometer and expressed as Trolox equivalents (mg TE/g).</p>
</sec>
</sec>
<sec id="sec11">
<label>2.5</label>
<title>Measurement of pasting properties and texture profile of millet grains</title>
<p>A Rapid Visco Analyzer (RVA) instrument (Newport Scientific Super 3, Australia) was used to evaluate the viscosity and pasting properties of millet grains following the International Association for Cereal Science and Technology (ICC) Standard Method No. 162 (<xref ref-type="bibr" rid="ref18">International Association for Cereal Science and Technology [ICC], 1996</xref>). About 3&#x202F;g of millet sample was weighed into aluminum canisters. The total weight was completed to 28&#x202F;g with distilled water. The temperature profile included a temperature holding step (50 &#x00B0;C for 30&#x202F;s), a linear temperature increases to 95 &#x00B0;C at 10.23 &#x00B0;C/min, a holding step (95 &#x00B0;C for 4&#x202F;min), a linear temperature decreases to 50 &#x00B0;C at 22.5 &#x00B0;C/min, and a final isothermal step at 50 &#x00B0;C for 2&#x202F;min. The pasting properties were measured in terms of peak viscosity, pasting temperature, breakdown, setback viscosities and final viscosity. Gel texture parameters were determined on RVA-prepared gels. Gel compression using Brookfield CT3 Texture Analyzer (Brookfield Engineering Laboratories, Inc., Middleboro, United States) to estimate the hardness, cohesiveness, springiness and the adherence of the grains.</p>
</sec>
<sec id="sec12">
<label>2.6</label>
<title>Statistical analysis</title>
<p>All data (experiment and ultrasonic treatments) were the mean of triplicate. The two-way ANOVA was used to analyze the main effects of ultrasonic time and ultrasonic temperature, and their interactions, using the XLSTAT software. The Least Significant Difference (LSD) test at <italic>p</italic>&#x202F;&#x003C;&#x202F;0.05 was applied to calculate significant differences among the treatments.</p>
</sec>
</sec>
<sec sec-type="results" id="sec13">
<label>3</label>
<title>Results</title>
<sec id="sec14">
<label>3.1</label>
<title>Effect of ultrasonic treatment on millet grains color</title>
<p><xref ref-type="table" rid="tab1">Table 1</xref> illustrates the impact of ultrasound on the color characteristics of millet grains. The results indicate that both treatment time and temperature had a significant effect (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05) on the color values <italic>L</italic>&#x002A;, <italic>a</italic>&#x002A;, <italic>b</italic>&#x002A;, and the overall color change (&#x2206;<italic>E</italic>), with a significant interaction between the two factors. Lightness (<italic>L</italic>&#x002A;) increased markedly after 20&#x202F;min of sonication, indicating a brighter grains surface than the control. The <italic>a</italic>&#x002A; value shifted toward negative values with prolonged treatment, indicating a greener tone. Yellowness (<italic>b</italic>&#x002A;) decreased initially at 20 and 40&#x202F;min but increased again at 60&#x202F;min. &#x0394;<italic>E</italic> was highest at 20&#x202F;min, suggesting that the most significant color modification occurred during early exposure. Increasing temperature to 40&#x2013;60 &#x00B0;C increased <italic>L</italic>&#x002A;, <italic>b</italic>&#x002A;, and &#x0394;<italic>E</italic>, with considerable time&#x2013;temperature interactions across all color attributes.</p>
<table-wrap position="float" id="tab1">
<label>Table 1</label>
<caption>
<p>Effect of ultrasonic treatment on millet grains color.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="top"><italic>L</italic>&#x002A;</th>
<th align="center" valign="top"><italic>a</italic>&#x002A;</th>
<th align="center" valign="top"><italic>b</italic>&#x002A;</th>
<th align="center" valign="top">&#x2206;<italic>E</italic></th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" colspan="5">Application time (min)</td>
</tr>
<tr>
<td align="left" valign="top">Control</td>
<td align="center" valign="top">64.2<sup>c</sup>&#x202F;&#x00B1;&#x202F;0.00</td>
<td align="center" valign="top">&#x2212;7.6<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.02</td>
<td align="center" valign="top">16.9<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.05</td>
<td align="center" valign="top">0.0<sup>c</sup>&#x202F;&#x00B1;&#x202F;0.00</td>
</tr>
<tr>
<td align="left" valign="top">20&#x202F;min</td>
<td align="center" valign="top">68.9<sup>a</sup>&#x202F;&#x00B1;&#x202F;2.46</td>
<td align="center" valign="top">&#x2212;8.9<sup>bc</sup>&#x202F;&#x00B1;&#x202F;1.01</td>
<td align="center" valign="top">16.0<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.95</td>
<td align="center" valign="top">6.3<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.07</td>
</tr>
<tr>
<td align="left" valign="top">40&#x202F;min</td>
<td align="center" valign="top">67.9<sup>b</sup>&#x202F;&#x00B1;&#x202F;2.93</td>
<td align="center" valign="top">&#x2212;7.9<sup>ab</sup>&#x202F;&#x00B1;&#x202F;1.88</td>
<td align="center" valign="top">15.7<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.44</td>
<td align="center" valign="top">5.3<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.28</td>
</tr>
<tr>
<td align="left" valign="top">60&#x202F;min</td>
<td align="center" valign="top">67.6<sup>b</sup>&#x202F;&#x00B1;&#x202F;2.73</td>
<td align="center" valign="top">&#x2212;9.4<sup>c</sup>&#x202F;&#x00B1;&#x202F;0.99</td>
<td align="center" valign="top">17.2<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.83</td>
<td align="center" valign="top">5.1<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.46</td>
</tr>
<tr>
<td align="left" valign="top" colspan="5">Temperature</td>
</tr>
<tr>
<td align="left" valign="top">20 &#x00B0;C</td>
<td align="center" valign="top">64.8<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.73</td>
<td align="center" valign="top">&#x2212;5.9<sup>a</sup>&#x202F;&#x00B1;&#x202F;1.51</td>
<td align="center" valign="top">15.5<sup>b</sup>&#x202F;&#x00B1;&#x202F;1.25</td>
<td align="center" valign="top">3.2<sup>c</sup>&#x202F;&#x00B1;&#x202F;0.01</td>
</tr>
<tr>
<td align="left" valign="top">40 &#x00B0;C</td>
<td align="center" valign="top">68.6<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.25</td>
<td align="center" valign="top">&#x2212;9.7<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.75</td>
<td align="center" valign="top">16.8<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.82</td>
<td align="center" valign="top">5.2<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.12</td>
</tr>
<tr>
<td align="left" valign="top">60 &#x00B0;C</td>
<td align="center" valign="top">67.9<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.59</td>
<td align="center" valign="top">&#x2212;9.9<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.78</td>
<td align="center" valign="top">17.2<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.80</td>
<td align="center" valign="top">4.2<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.08</td>
</tr>
<tr>
<td align="left" valign="top" colspan="5">Two-way ANOVA</td>
</tr>
<tr>
<td align="left" valign="top">Time (<italic>t</italic>)</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="top">Temperature (<italic>T</italic>)</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="top"><italic>t</italic>&#x002A; <italic>T</italic></td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="top">LSD</td>
<td align="center" valign="top">0.790</td>
<td align="center" valign="top">1.114</td>
<td align="center" valign="top">0.594</td>
<td align="center" valign="top">0.538</td>
</tr>
<tr>
<td align="left" valign="top">SE&#x00B1;</td>
<td align="center" valign="top">0.541</td>
<td align="center" valign="top">0.763</td>
<td align="center" valign="top">0.407</td>
<td align="center" valign="top">0.184</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Letters indicate that values do not differ significantly at <italic>p</italic>&#x202F;&#x003C;&#x202F;0.05 according to LSD. Asterisks (&#x002A;) indicate significant variation: ns, not significant; &#x002A;&#x002A;: significant at <italic>p</italic>&#x202F;&#x003C;&#x202F;0.01; &#x002A;&#x002A;&#x002A;: significant at <italic>p</italic>&#x202F;&#x003C;&#x202F;0.001 level. Each value represents the average of 3 replications.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec15">
<label>3.2</label>
<title>Effect of ultrasonic treatment on TPC and TFC millet grains</title>
<p>The effects of ultrasound time and temperature on TPC and TFC are summarized in <xref ref-type="table" rid="tab2">Table 2</xref>. TPC increased significantly at 20 and 60&#x202F;min and at higher temperatures (especially 60 &#x00B0;C). Conversely, TFC peaked at 40 &#x00B0;C but declined with longer sonication times, suggesting differential sensitivity of phenolic subclasses to thermal and acoustic conditions. Both parameters exhibited significant interaction effects between treatment time and temperature (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.001).</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Effect of ultrasonic treatment on TPC and TFC millet grains.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="top">TPC (mg GAE/g)</th>
<th align="center" valign="top">TFC (mg CE/g)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" colspan="3">Application time (min)</td>
</tr>
<tr>
<td align="left" valign="top">Control</td>
<td align="center" valign="top">5.84<sup>c</sup>&#x202F;&#x00B1;&#x202F;0.10</td>
<td align="center" valign="top">27.6<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.27</td>
</tr>
<tr>
<td align="left" valign="top">20&#x202F;min</td>
<td align="center" valign="top">7.1<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.18</td>
<td align="center" valign="top">19.8<sup>c</sup>&#x202F;&#x00B1;&#x202F;0.10</td>
</tr>
<tr>
<td align="left" valign="top">40&#x202F;min</td>
<td align="center" valign="top">6.1<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.07</td>
<td align="center" valign="top">22.3<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.09</td>
</tr>
<tr>
<td align="left" valign="top">60&#x202F;min</td>
<td align="center" valign="top">7.1<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.19</td>
<td align="center" valign="top">19.9<sup>c</sup>&#x202F;&#x00B1;&#x202F;0.37</td>
</tr>
<tr>
<td align="left" valign="top" colspan="3">Temperature</td>
</tr>
<tr>
<td align="left" valign="top">20 &#x00B0;C</td>
<td align="center" valign="top">6.2<sup>c</sup>&#x202F;&#x00B1;&#x202F;0.11</td>
<td align="center" valign="top">17.6<sup>c</sup>&#x202F;&#x00B1;&#x202F;0.08</td>
</tr>
<tr>
<td align="left" valign="top">40 &#x00B0;C</td>
<td align="center" valign="top">6.4<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.14</td>
<td align="center" valign="top">25.4<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.13</td>
</tr>
<tr>
<td align="left" valign="top">60 &#x00B0;C</td>
<td align="center" valign="top">7.0<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.28</td>
<td align="center" valign="top">24.2<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.13</td>
</tr>
<tr>
<td align="left" valign="top" colspan="3">Two-way ANOVA</td>
</tr>
<tr>
<td align="left" valign="top">Time (<italic>t</italic>)</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="top">Temperature (<italic>T</italic>)</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="top"><italic>t</italic>&#x002A; <italic>T</italic></td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="top">LSD</td>
<td align="center" valign="top">0.137</td>
<td align="center" valign="top">0.528</td>
</tr>
<tr>
<td align="left" valign="top">SE&#x00B1;</td>
<td align="center" valign="top">0.094</td>
<td align="center" valign="top">0.181</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Letters indicate that values do not differ significantly at <italic>p</italic>&#x202F;&#x003C;&#x202F;0.05 according to LSD. Asterisks (&#x002A;) indicate significant variation: ns, not significant; &#x002A;&#x002A;: significant at <italic>p</italic>&#x202F;&#x003C;&#x202F;0.01; &#x002A;&#x002A;&#x002A;: significant at <italic>p</italic>&#x202F;&#x003C;&#x202F;0.001 level. Each value represents the average of 3 replications.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec16">
<label>3.3</label>
<title>Effect of ultrasonic treatment on antioxidant activity of millet grains</title>
<p><xref ref-type="table" rid="tab3">Table 3</xref> shows the effect of ultrasonic on the antioxidant activity of millet grains. Antioxidant activity of control and treated millet grains was assessed in terms of ABTS, FRAP, and DPPH. The ABTS values improved slightly at 20&#x202F;min and increased significantly at 40&#x2013;60 &#x00B0;C. FRAP activity increased at 60&#x202F;min, indicating enhanced reducing capability following prolonged exposure. DPPH activity decreased during the early stages (20 and 40&#x202F;min) but recovered at 60&#x202F;min. Temperature significantly influenced FRAP and DPPH activity, with the highest values recorded at 40&#x2013;60 &#x00B0;C. All antioxidant assays showed significant time&#x2013;temperature interactions (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.001).</p>
<table-wrap position="float" id="tab3">
<label>Table 3</label>
<caption>
<p>Effect of ultrasonic treatment on antioxidant activity of millet grains.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="top">ABTS (mg TE/g)</th>
<th align="center" valign="top">FRAP (mg TE/g)</th>
<th align="center" valign="top">DPPH (mg TE/g)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" colspan="4">Application time (min)</td>
</tr>
<tr>
<td align="left" valign="top">Control</td>
<td align="center" valign="top">3.39<sup>ab</sup>&#x202F;&#x00B1;&#x202F;0.23</td>
<td align="center" valign="top">5.88<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.04</td>
<td align="center" valign="top">7.09<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.04</td>
</tr>
<tr>
<td align="left" valign="top">20&#x202F;min</td>
<td align="center" valign="top">3.43<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.15</td>
<td align="center" valign="top">5.69<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.18</td>
<td align="center" valign="top">6.74<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.13</td>
</tr>
<tr>
<td align="left" valign="top">40&#x202F;min</td>
<td align="center" valign="top">3.14<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.13</td>
<td align="center" valign="top">5.75<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.36</td>
<td align="center" valign="top">6.69<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.17</td>
</tr>
<tr>
<td align="left" valign="top">60&#x202F;min</td>
<td align="center" valign="top">3.37<sup>ab</sup>&#x202F;&#x00B1;&#x202F;0.36</td>
<td align="center" valign="top">6.15<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.12</td>
<td align="center" valign="top">7.04<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.15</td>
</tr>
<tr>
<td align="left" valign="top" colspan="4">Temperature</td>
</tr>
<tr>
<td align="left" valign="top">20 &#x00B0;C</td>
<td align="center" valign="top">2.82<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.30</td>
<td align="center" valign="top">5.72<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.01</td>
<td align="center" valign="top">6.72<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.18</td>
</tr>
<tr>
<td align="left" valign="top">40 &#x00B0;C</td>
<td align="center" valign="top">3.57<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.08</td>
<td align="center" valign="top">6.04<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.08</td>
<td align="center" valign="top">6.97<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.07</td>
</tr>
<tr>
<td align="left" valign="top">60 &#x00B0;C</td>
<td align="center" valign="top">3.60<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.07</td>
<td align="center" valign="top">5.84<sup>ab</sup>&#x202F;&#x00B1;&#x202F;0.45</td>
<td align="center" valign="top">6.92<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.14</td>
</tr>
<tr>
<td align="left" valign="top" colspan="4">Two-way ANOVA</td>
</tr>
<tr>
<td align="left" valign="top">Time (<italic>t</italic>)</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="top">Temperature (<italic>T</italic>)</td>
<td align="center" valign="top">ns</td>
<td align="center" valign="top">&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="top"><italic>t</italic>&#x002A; <italic>T</italic></td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="top">LSD</td>
<td align="center" valign="top">0.246</td>
<td align="center" valign="top">0.228</td>
<td align="center" valign="top">0.127</td>
</tr>
<tr>
<td align="left" valign="top">SE&#x00B1;</td>
<td align="center" valign="top">0.169</td>
<td align="center" valign="top">0.156</td>
<td align="center" valign="top">0.087</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Letters indicate that values do not differ significantly at <italic>p</italic>&#x202F;&#x003C;&#x202F;0.05 according to LSD. Asterisks (&#x002A;) indicate significant variation: ns, not significant; &#x002A;&#x002A;: significant at <italic>p</italic>&#x202F;&#x003C;&#x202F;0.01; &#x002A;&#x002A;&#x002A;: significant at <italic>p</italic>&#x202F;&#x003C;&#x202F;0.001 level. Each value represents the average of 3 replications. 2,2&#x2032;-azino-bis(3-ethylbenzothiazoline-6-sulfonic acid) (ABTS); The FRAP; 2,2-diphenyl-1-picrylhydrazyl (DPPH) radicals.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec17">
<label>3.4</label>
<title>Effect of ultrasonic treatment on the pasting properties and gel texture profile of millet grains</title>
<p>Pasting characteristics measured by RVA are shown in <xref ref-type="table" rid="tab4">Table 4</xref>. Ultrasound treatment significantly reduced peak viscosity, trough, breakdown, final viscosity, and setback, especially at 40&#x202F;min. These reductions indicate granular weakening and decreased swelling ability. In contrast, increasing temperature enhanced viscosity parameters, with the highest values observed at 60 &#x00B0;C, reflecting increased gelatinization. Time&#x2013;temperature interactions were significant for all pasting parameters.</p>
<table-wrap position="float" id="tab4">
<label>Table 4</label>
<caption>
<p>Effect of ultrasonic treatment on the pasting properties of millet grains.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="top">Peak 1</th>
<th align="center" valign="top">Through</th>
<th align="center" valign="top">Breakdown</th>
<th align="center" valign="top">Final viscosity</th>
<th align="center" valign="top">Setback</th>
<th align="center" valign="top">Pasting temperature</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" colspan="7">Application time (min)</td>
</tr>
<tr>
<td align="left" valign="top">Control</td>
<td align="center" valign="top">548.3<sup>a</sup>&#x202F;&#x00B1;&#x202F;6.35</td>
<td align="center" valign="top">436.7<sup>a</sup>&#x202F;&#x00B1;&#x202F;2.32</td>
<td align="center" valign="top">111.7<sup>a</sup>&#x202F;&#x00B1;&#x202F;4.04</td>
<td align="center" valign="top">1096.7<sup>a</sup>&#x202F;&#x00B1;&#x202F;1.15</td>
<td align="center" valign="top">660.0<sup>a</sup>&#x202F;&#x00B1;&#x202F;3.46</td>
<td align="center" valign="top">86.8<sup>c</sup>&#x202F;&#x00B1;&#x202F;0.03</td>
</tr>
<tr>
<td align="left" valign="top">20&#x202F;min</td>
<td align="center" valign="top">487.6 <sup>b</sup>&#x202F;&#x00B1;&#x202F;4.35</td>
<td align="center" valign="top">417.0<sup>b</sup>&#x202F;&#x00B1;&#x202F;1.59</td>
<td align="center" valign="top">70.8<sup>b</sup>&#x202F;&#x00B1;&#x202F;3.00</td>
<td align="center" valign="top">879.6<sup>b</sup>&#x202F;&#x00B1;&#x202F;13.1</td>
<td align="center" valign="top">465.8<sup>b</sup>&#x202F;&#x00B1;&#x202F;3.46</td>
<td align="center" valign="top">86.4<sup>d</sup>&#x202F;&#x00B1;&#x202F;0.03</td>
</tr>
<tr>
<td align="left" valign="top">40&#x202F;min</td>
<td align="center" valign="top">420.2<sup>d</sup>&#x202F;&#x00B1;&#x202F;2.64</td>
<td align="center" valign="top">382.4<sup>d</sup>&#x202F;&#x00B1;&#x202F;1.32</td>
<td align="center" valign="top">38.8<sup>d</sup>&#x202F;&#x00B1;&#x202F;2.93</td>
<td align="center" valign="top">830.3<sup>d</sup>&#x202F;&#x00B1;&#x202F;9.13</td>
<td align="center" valign="top">443.4<sup>c</sup>&#x202F;&#x00B1;&#x202F;8.66</td>
<td align="center" valign="top">87.7 <sup>a</sup>&#x202F;&#x00B1;&#x202F;0.02</td>
</tr>
<tr>
<td align="left" valign="top">60&#x202F;min</td>
<td align="center" valign="top">450.1<sup>c</sup>&#x202F;&#x00B1;&#x202F;3.68</td>
<td align="center" valign="top">392.3<sup>c</sup>&#x202F;&#x00B1;&#x202F;1.60</td>
<td align="center" valign="top">57.8<sup>c</sup>&#x202F;&#x00B1;&#x202F;3.45</td>
<td align="center" valign="top">860.1<sup>c</sup>&#x202F;&#x00B1;&#x202F;11.2</td>
<td align="center" valign="top">468.4<sup>b</sup>&#x202F;&#x00B1;&#x202F;8.70</td>
<td align="center" valign="top">87.4<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.00</td>
</tr>
<tr>
<td align="left" valign="top" colspan="7">Temperature</td>
</tr>
<tr>
<td align="left" valign="top">20 &#x00B0;C</td>
<td align="center" valign="top">434.3<sup>c</sup>&#x202F;&#x00B1;&#x202F;4.00</td>
<td align="center" valign="top">375.8<sup>c</sup>&#x202F;&#x00B1;&#x202F;2.31</td>
<td align="center" valign="top">58.8<sup>c</sup>&#x202F;&#x00B1;&#x202F;2.31</td>
<td align="center" valign="top">869.9<sup>c</sup>&#x202F;&#x00B1;&#x202F;4.04</td>
<td align="center" valign="top">494.7<sup>c</sup>&#x202F;&#x00B1;&#x202F;1.73</td>
<td align="center" valign="top">87.6 <sup>a</sup>&#x202F;&#x00B1;&#x202F;0.00</td>
</tr>
<tr>
<td align="left" valign="top">40 &#x00B0;C</td>
<td align="center" valign="top">495.3<sup>b</sup>&#x202F;&#x00B1;&#x202F;4.04</td>
<td align="center" valign="top">414.6<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.58</td>
<td align="center" valign="top">80.8 <sup>a</sup>&#x202F;&#x00B1;&#x202F;3.46</td>
<td align="center" valign="top">918.0<sup>b</sup>&#x202F;&#x00B1;&#x202F;2.31</td>
<td align="center" valign="top">501.6<sup>b</sup>&#x202F;&#x00B1;&#x202F;2.89</td>
<td align="center" valign="top">86.4<sup>c</sup>&#x202F;&#x00B1;&#x202F;0.04</td>
</tr>
<tr>
<td align="left" valign="top">60 &#x00B0;C</td>
<td align="center" valign="top">500.1<sup>a</sup>&#x202F;&#x00B1;&#x202F;6.40</td>
<td align="center" valign="top">431.0 <sup>a</sup>&#x202F;&#x00B1;&#x202F;4.88</td>
<td align="center" valign="top">59.6<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.58</td>
<td align="center" valign="top">962.1<sup>a</sup>&#x202F;&#x00B1;&#x202F;9.63</td>
<td align="center" valign="top">532.0 <sup>a</sup>&#x202F;&#x00B1;&#x202F;6.93</td>
<td align="center" valign="top">87.1<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.00</td>
</tr>
<tr>
<td align="left" valign="top" colspan="7">Two-way ANOVA</td>
</tr>
<tr>
<td align="left" valign="top">Time (<italic>t</italic>)</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="top">Temperature (<italic>T</italic>)</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="top"><italic>t</italic>&#x002A; <italic>T</italic></td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="top">LSD</td>
<td align="center" valign="top">4.077</td>
<td align="center" valign="top">1.941</td>
<td align="center" valign="top">2.116</td>
<td align="center" valign="top">7.944</td>
<td align="center" valign="top">5.309</td>
<td align="center" valign="top">0.304</td>
</tr>
<tr>
<td align="left" valign="top">SE&#x00B1;</td>
<td align="center" valign="top">2.419</td>
<td align="center" valign="top">1.330</td>
<td align="center" valign="top">1.450</td>
<td align="center" valign="top">5.443</td>
<td align="center" valign="top">3.638</td>
<td align="center" valign="top">0.209</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Letters indicate that values do not differ significantly at <italic>p</italic>&#x202F;&#x003C;&#x202F;0.05 according to LSD. Asterisks (&#x002A;) indicate significant variation: ns, not significant; &#x002A;&#x002A;: significant at <italic>p</italic>&#x202F;&#x003C;&#x202F;0.01; &#x002A;&#x002A;&#x002A;: significant at <italic>p</italic>&#x202F;&#x003C;&#x202F;0.001 level. Each value represents the average of 3 replications.</p>
</table-wrap-foot>
</table-wrap>
<p>Texture profile of millet grains gels is summarized in <xref ref-type="table" rid="tab5">Table 5</xref>. Ultrasound significantly reduced hardness, cohesiveness, and springiness, particularly at 20&#x2013;40&#x202F;min, whereas adherence increased. Temperature elevated hardness, cohesiveness, and springiness at 40&#x2013;60 &#x00B0;C, reflecting partial structural reinforcement at higher temperatures. All parameters showed a significant interaction between sonication time and temperature (<italic>p</italic>&#x202F;&#x003C;&#x202F;0.05).</p>
<table-wrap position="float" id="tab5">
<label>Table 5</label>
<caption>
<p>Effect of ultrasonic treatment on millet grains texture.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="top">Hardness</th>
<th align="center" valign="top">Cohesiveness</th>
<th align="center" valign="top">Springiness</th>
<th align="center" valign="top">Adherence</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" colspan="5">Application time (min)</td>
</tr>
<tr>
<td align="left" valign="top">Control</td>
<td align="center" valign="top">16.3<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.57</td>
<td align="center" valign="top">1.66<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.05</td>
<td align="center" valign="top">10.1<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.17</td>
<td align="center" valign="top">0.13<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.06</td>
</tr>
<tr>
<td align="left" valign="top">20&#x202F;min</td>
<td align="center" valign="top">13.4<sup>bc</sup>&#x202F;&#x00B1;&#x202F;1.09</td>
<td align="center" valign="top">0.53<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.02</td>
<td align="center" valign="top">9.4<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.16</td>
<td align="center" valign="top">0.26<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.07</td>
</tr>
<tr>
<td align="left" valign="top">40&#x202F;min</td>
<td align="center" valign="top">12.8<sup>c</sup>&#x202F;&#x00B1;&#x202F;1.00</td>
<td align="center" valign="top">0.56<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.07</td>
<td align="center" valign="top">9.6<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.13</td>
<td align="center" valign="top">0.26<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.00</td>
</tr>
<tr>
<td align="left" valign="top">60&#x202F;min</td>
<td align="center" valign="top">13.6<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.09</td>
<td align="center" valign="top">0.56<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.03</td>
<td align="center" valign="top">9.7<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.09</td>
<td align="center" valign="top">0.21<sup>ab</sup>&#x202F;&#x00B1;&#x202F;0.00</td>
</tr>
<tr>
<td align="left" valign="top" colspan="5">Temperature</td>
</tr>
<tr>
<td align="left" valign="top">20 &#x00B0;C</td>
<td align="center" valign="top">13.4<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.57</td>
<td align="center" valign="top">0.78<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.14</td>
<td align="center" valign="top">9.4<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.00</td>
<td align="center" valign="top">0.18<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.15</td>
</tr>
<tr>
<td align="left" valign="top">40 &#x00B0;C</td>
<td align="center" valign="top">14.5<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.60</td>
<td align="center" valign="top">0.84<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.01</td>
<td align="center" valign="top">9.5<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.65</td>
<td align="center" valign="top">0.17<sup>b</sup>&#x202F;&#x00B1;&#x202F;0.06</td>
</tr>
<tr>
<td align="left" valign="top">60 &#x00B0;C</td>
<td align="center" valign="top">14.2<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.57</td>
<td align="center" valign="top">0.87<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.02</td>
<td align="center" valign="top">10.1<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.58</td>
<td align="center" valign="top">0.29<sup>a</sup>&#x202F;&#x00B1;&#x202F;0.12</td>
</tr>
<tr>
<td align="left" valign="top" colspan="5">Two-way ANOVA</td>
</tr>
<tr>
<td align="left" valign="top">Time (<italic>t</italic>)</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;</td>
</tr>
<tr>
<td align="left" valign="top">Temperature (<italic>T</italic>)</td>
<td align="center" valign="top">&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;</td>
</tr>
<tr>
<td align="left" valign="top"><italic>t</italic>&#x002A; <italic>T</italic></td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;&#x002A;&#x002A;</td>
<td align="center" valign="top">&#x002A;</td>
</tr>
<tr>
<td align="left" valign="top">LSD</td>
<td align="center" valign="top">0.673</td>
<td align="center" valign="top">0.040</td>
<td align="center" valign="top">0.282</td>
<td align="center" valign="top">0.069</td>
</tr>
<tr>
<td align="left" valign="top">SE&#x00B1;</td>
<td align="center" valign="top">0.461</td>
<td align="center" valign="top">0.027</td>
<td align="center" valign="top">0.193</td>
<td align="center" valign="top">0.047</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>Letters indicate that values do not differ significantly at <italic>p</italic>&#x202F;&#x003C;&#x202F;0.05 according to LSD. Asterisks (&#x002A;) indicate significant variation: ns, not significant; &#x002A;&#x002A;: significant at <italic>p</italic>&#x202F;&#x003C;&#x202F;0.01; &#x002A;&#x002A;&#x002A;: significant at <italic>p</italic>&#x202F;&#x003C;&#x202F;0.001 level. Each value represents the average of 3 replications.</p>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec sec-type="discussion" id="sec18">
<label>4</label>
<title>Discussion</title>
<p>The present study demonstrates that ultrasound at 40&#x202F;kHz significantly influences the physicochemical, functional, and structural properties of millet grains, with effects strongly dependent on both treatment duration and temperature. These observations align with the established principles of acoustic cavitation, in which the formation, growth, and collapse of microbubbles generate intense, localized shear forces and transient thermal effects that can alter biopolymers (<xref ref-type="bibr" rid="ref34">Suslick, 1990</xref>). The increase in lightness (<italic>L</italic>&#x002A;) and total color difference (&#x0394;<italic>E</italic>) following ultrasound treatment may be attributed to cavitation-induced microstructural changes at the grains surface, resulting in increased light reflectance. Similar improvements in brightness have been reported in ultrasound-treated cereal matrices, where cavitation produces surface erosion and pigment redistribution (<xref ref-type="bibr" rid="ref9">Estivi et al., 2022</xref>; <xref ref-type="bibr" rid="ref7">Choudhary et al., 2025</xref>). The shift in <italic>a</italic>&#x002A; toward negative values and fluctuations in <italic>b</italic>&#x002A; suggest partial oxidation or structural modification of natural pigments, consistent with sonochemical effects described in cereal grains (<xref ref-type="bibr" rid="ref21">Kutlu et al., 2022</xref>). <xref ref-type="bibr" rid="ref16">Guo et al. (2021)</xref> stated that color parameters <italic>L</italic>&#x002A;, <italic>a</italic>&#x002A; and <italic>b</italic>&#x002A; were significantly changed in white yak meat because of ultrasonic treatments.</p>
<p>Regarding the TPC and TFC, the significant increase in TPC, particularly at 20 and 60&#x202F;min and at elevated temperatures, indicates enhanced extraction of bound phenolics due to disruption of the cell wall matrix, a phenomenon widely documented in ultrasound-assisted extraction (<xref ref-type="bibr" rid="ref4">Chandrasekara and Shahidi, 2011</xref>). It has been reported that ultrasonic pretreatment is positively affected on the TPC. <xref ref-type="bibr" rid="ref2">Balasubramaniam et al. (2019)</xref> stated that ultrasonic energy promotes the release of pound phenolic compounds, hence cause an increment in the TPC in finger millet. Similarly, <xref ref-type="bibr" rid="ref22">Meena et al. (2023)</xref> found that the TPC in ultrasonic-treated white finger millet is grater that control one.</p>
<p>Cavitation improves solvent penetration and breaks ester and glycosidic linkages, facilitating the release of phenolic compounds (<xref ref-type="bibr" rid="ref2">Balasubramaniam et al., 2019</xref>). Conversely, the decline in TFC at longer sonication times suggests that flavonoids, especially those with more labile structures, may undergo degradation under prolonged exposure to thermal and mechanical stresses. Similar sensitivity of flavonoids to ultrasonic and thermal processing has been reported in cereal and pulse grains (<xref ref-type="bibr" rid="ref27">Pradeep and Sreerama, 2015</xref>).</p>
<p>The variable responses across antioxidant assays (ABTS, FRAP, DPPH) reflect differences in their mechanisms and chemical specificity. The improvement in antioxidant activity at 40&#x2013;60 &#x00B0;C may be due to increased solubility and the release of antioxidant-active phenolics (<xref ref-type="bibr" rid="ref8">Dias-Martins et al., 2018</xref>). The temporary reduction in DPPH scavenging at early sonication stages may be linked to the formation of intermediate radicals during bubble collapse, as suggested in sonochemical oxidation pathways (<xref ref-type="bibr" rid="ref34">Suslick, 1990</xref>). Recovery of antioxidant activity at 60&#x202F;min aligns with findings that prolonged ultrasound can generate lower-molecular-weight phenolic derivatives with increased reactivity (<xref ref-type="bibr" rid="ref4">Chandrasekara and Shahidi, 2011</xref>).</p>
<p>The impact of ultrasonic treatments of millet grains under different temperature and time on the rheological properties (pasting properties and texture profile) revealed substantial reductions in peak, breakdown, and setback viscosities suggest weakening of starch granule integrity under ultrasound exposure. Similar trends have been reported in sonicated cereal starches, where cavitation disrupts granular morphology, breaks amylopectin branches, and decreases crystallinity (<xref ref-type="bibr" rid="ref2">Balasubramaniam et al., 2019</xref>). Lower setback values indicate reduced retrogradation potential, which may improve storage stability of millet-based products&#x2014;a desirable trait in gluten-free formulations.</p>
<p>Increasing temperature, on the other hand, enhanced gelatinization and increased viscosity, consistent with the thermally driven swelling of starch granules observed in previous millet studies (<xref ref-type="bibr" rid="ref14">Goswami et al., 2020</xref>). The reductions in hardness, cohesiveness, and springiness following ultrasound treatment reflect structural loosening of the starch&#x2013;protein matrix. Cavitation likely disrupts intermolecular hydrogen bonds and partially depolymerizes starch chains, producing softer gels&#x2014;a behavior consistent with ultrasound-treated millet (<xref ref-type="bibr" rid="ref38">Zhu et al., 2025</xref>; <xref ref-type="bibr" rid="ref23">Mounika et al., 2024</xref>). However, the increase in hardness and cohesiveness at higher temperatures (40&#x2013;60 &#x00B0;C) suggests thermal strengthening of gelatinized starch, which counterbalances cavitation effects. Similar thermal&#x2013;mechanical interactions have been reported in studies on heat-assisted ultrasound processing.</p>
<p>In general, the results demonstrate that ultrasound processing can be strategically tuned to enhance the functional quality of millet grains. The combination of moderate temperatures (40&#x2013;60 &#x00B0;C) and short-to-moderate sonication times (20&#x2013;60&#x202F;min) proved optimal for maximizing phenolic release, improving antioxidant activity, and achieving desirable pasting and textural properties. These findings align with the broader body of literature identifying ultrasound as a sustainable, energy-efficient, and highly versatile non-thermal technology suitable for improving the functionality of cereal-based products (<xref ref-type="bibr" rid="ref9">Estivi et al., 2022</xref>; <xref ref-type="bibr" rid="ref2">Balasubramaniam et al., 2019</xref>).</p>
</sec>
<sec sec-type="conclusions" id="sec19">
<label>5</label>
<title>Conclusion</title>
<p>Ultrasonic emerged as an effective green technology for modifying and enhancing the physicochemical and functional properties of millet grains. The treatment significantly improved color attributes increased phenolic extractability, enhanced antioxidant activity, and reduced starch retrogradation&#x2014;traits that collectively support superior processing behavior and product stability. The best results were obtained at 20&#x202F;min and 40&#x2013;60 &#x00B0;C, demonstrating that moderate temperature, combined with controlled sonication intensity, produces the most favorable balance between structural modification and preservation of bioactive compounds. These findings highlight ultrasound as a promising approach for developing high-quality millet-derived food products, particularly within the expanding gluten-free and health-oriented food sectors, offering a more reliable and useful method of processing millet-based foods. However, future research should explore ultrasound-assisted modification of composite grains, optimize using advanced modeling tools, and assess scale-up feasibility in industrial systems.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="sec20">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="sec21">
<title>Author contributions</title>
<p>FA: Funding acquisition, Writing &#x2013; original draft, Formal analysis, Conceptualization, Investigation, Project administration. AH: Methodology, Writing &#x2013; review &#x0026; editing, Software, Validation, Data curation. GA: Writing &#x2013; original draft, Visualization, Methodology, Conceptualization. JA: Data curation, Writing &#x2013; original draft, Validation, Resources. DA: Methodology, Writing &#x2013; original draft, Formal analysis, Resources. NA: Writing &#x2013; review &#x0026; editing, Writing &#x2013; original draft.</p>
</sec>
<ack>
<title>Acknowledgments</title>
<p>The authors are grateful to Princess Nourah Bint Abdulrahman University for supporting this research through sabbatical leave program.</p>
</ack>
<sec sec-type="COI-statement" id="sec22">
<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>
</sec>
<sec sec-type="ai-statement" id="sec23">
<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="sec24">
<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>
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<fn fn-type="custom" custom-type="edited-by" id="fn0001">
<p>Edited by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3083893/overview">Rakesh Kumar Gupta</ext-link>, Indian Institute of Technology Kharagpur, India</p>
</fn>
<fn fn-type="custom" custom-type="reviewed-by" id="fn0002">
<p>Reviewed by: <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2298787/overview">Jos&#x00E9; Armando Ulloa</ext-link>, Autonomous University of Nayarit, Mexico</p>
<p><ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3364077/overview">Cristiane Nunes Da Silva</ext-link>, Federal University of Rio de Janeiro, Brazil</p>
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