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<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article">
<front>
<journal-meta>
<journal-id journal-id-type="nlm-ta">Explor Foods Foodomics</journal-id>
<journal-id journal-id-type="publisher-id">EFF</journal-id>
<journal-title-group>
<journal-title>Exploration of Foods and Foodomics</journal-title>
</journal-title-group>
<issn pub-type="epub">2837-9020</issn>
<publisher>
<publisher-name>Open Exploration Publishing</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.37349/eff.2026.1010160</article-id>
<article-id pub-id-type="manuscript">1010160</article-id>
<article-categories>
<subj-group>
<subject>Original Article</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Nutritional, functional, and sensory properties of sorghum-<italic>okara</italic> composite flakes</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5127-0815</contrib-id>
<name>
<surname>Nwankwo</surname>
<given-names>Chibuzo Stanley</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/conceptualization/">Conceptualization</role>
<role content-type="https://credit.niso.org/contributor-roles/supervision/">Supervision</role>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/">Writing—original draft</role>
<xref ref-type="aff" rid="I1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="cor1">
<sup>*</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Iorver</surname>
<given-names>Seember Jacintha</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/visualization/">Visualization</role>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/">Writing—original draft</role>
<xref ref-type="aff" rid="I1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Bunde-Tsegba</surname>
<given-names>Comfort Mkpentseen</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/supervision/">Supervision</role>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing—review &amp; editing</role>
<xref ref-type="aff" rid="I1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Okpomor</surname>
<given-names>Endurance Oghogho</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing—review &amp; editing</role>
<xref ref-type="aff" rid="I2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Okoyeuzu</surname>
<given-names>Chigozie Francis</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing—review &amp; editing</role>
<xref ref-type="aff" rid="I3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Eze</surname>
<given-names>Chinazom Martina</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/visualization/">Visualization</role>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing—review &amp; editing</role>
<xref ref-type="aff" rid="I3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ochonogor</surname>
<given-names>Ossai Samuel</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing—review &amp; editing</role>
<xref ref-type="aff" rid="I4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Mbachiantim</surname>
<given-names>James Tivwuhe</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing—review &amp; editing</role>
<xref ref-type="aff" rid="I1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Abebe</surname>
<given-names>Teshome Ayele</given-names>
</name>
<role content-type="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing—review &amp; editing</role>
<xref ref-type="aff" rid="I5">
<sup>5</sup>
</xref>
</contrib>
<contrib contrib-type="editor">
<name>
<surname>Iriti</surname>
<given-names>Marcello</given-names>
</name>
<role>Academic Editor</role>
<aff>Milan State University, Italy</aff>
</contrib>
</contrib-group>
<aff id="I1">
<sup>1</sup>Department of Food Science and Technology, College of Food Technology and Human Ecology, Federal University of Agriculture, Makurdi 970001, Nigeria</aff>
<aff id="I2">
<sup>2</sup>International Centre for Biotechnology (ICB) Under the Auspices of UNESCO, University of Nigeria, Nsukka 410105, Nigeria</aff>
<aff id="I3">
<sup>3</sup>Department of Food Science and Technology, University of Nigeria, Nsukka, Enugu State 410001, Nigeria</aff>
<aff id="I4">
<sup>4</sup>Office of the Executive Assistant to the Governor, Asaba 320001, Delta State Government, Nigeria</aff>
<aff id="I5">
<sup>5</sup>Department of Food Engineering, Kombolcha Institute of Technology, Wollo University, Wollo 2080, Ethiopia</aff>
<author-notes>
<corresp id="cor1">
<bold>
<sup>*</sup>Correspondence:</bold> Chibuzo Stanley Nwankwo, Department of Food Science and Technology, College of Food Technology and Human Ecology, Federal University of Agriculture, Makurdi 970001, Nigeria. <email>toteupstar@outlook.com</email></corresp>
</author-notes>
<pub-date pub-type="collection">
<year>2026</year>
</pub-date>
<pub-date pub-type="epub">
<day>08</day>
<month>06</month>
<year>2026</year>
</pub-date>
<volume>4</volume>
<elocation-id>1010160</elocation-id>
<history>
<date date-type="received">
<day>21</day>
<month>08</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>15</day>
<month>04</month>
<year>2026</year>
</date>
</history>
<permissions>
<copyright-statement>© The Author(s) 2026.</copyright-statement>
<license xlink:href="https://creativecommons.org/licenses/by/4.0/">
<license-p>This is an Open Access article licensed under a Creative Commons Attribution 4.0 International License (<ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link>), which permits unrestricted use, sharing, adaptation, distribution and reproduction in any medium or format, for any purpose, even commercially, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.</license-p>
</license>
</permissions>
<abstract>
<sec>
<title>Aim:</title>
<p id="absp-1">This study aims to evaluate the nutritional, functional, physical, and sensory properties of flakes produced from white sorghum-<italic>okara</italic> flour blends.</p>
</sec>
<sec>
<title>Methods:</title>
<p id="absp-2">Flakes were produced from composite blends of white sorghum and <italic>okara</italic> at substitution levels of 0–20% <italic>okara</italic>. White sorghum and soybeans were sourced locally, and flours were prepared using standardized milling and drying techniques. Composite flour blends were processed into flakes through mixing, sheeting, baking, and toasting at controlled conditions. Functional, proximate, amino acid, physical, and sensory attributes were assessed to determine the effects of <italic>okara</italic> incorporation and identify an optimal formulation.</p>
</sec>
<sec>
<title>Results:</title>
<p id="absp-3">Increasing <italic>okara</italic> substitution (0–20%) significantly influenced the properties of sorghum-<italic>okara</italic> flakes. Bulk density decreased, while gelatinization temperature, water absorption, and swelling index increased. Protein (15.36–22.82%), ash (3.79–6.05%), and fiber (3.30–4.68%) contents increased significantly (<italic>p</italic> &lt; 0.05), while carbohydrates (67.85–56.32%) contents decreased. <italic>Okara</italic> incorporation enhanced essential amino acids, including lysine (2.49–3.22 g/100 g), methionine (0.52–1.01 g/100 g), glutamic acid (3.25–4.10 g/100 g), and leucine (1.75–2.46 g/100 g). Phytic acid and tannins decreased, whereas oxalates, lectins, and trypsin inhibitors increased. Physical properties changed progressively, and sensory evaluation indicated good consumer acceptability even at 20% <italic>okara</italic> inclusion.</p>
</sec>
<sec>
<title>Conclusions:</title>
<p id="absp-4">Blending white sorghum and <italic>okara</italic> produced nutrient-rich, ready-to-eat flakes with potential to address protein-energy malnutrition. Although some anti-nutritional factors increased, their levels remained within acceptable ranges and were outweighed by the nutritional benefits.</p>
</sec>
</abstract>
<kwd-group>
<kwd>white sorghum</kwd>
<kwd>
<italic>Okara</italic>
</kwd>
<kwd>functional properties</kwd>
<kwd>nutrient-enriched flakes</kwd>
<kwd>sustainability</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p id="p-1">Breakfast cereals are widely consumed globally, particularly in urban areas, due to their convenience and long shelf life. Traditionally, cereals such as maize, wheat, and oats have been used in breakfast flake production because of their high carbohydrate content, but they contain relatively low levels of fat and protein [<xref ref-type="bibr" rid="B1">1</xref>, <xref ref-type="bibr" rid="B2">2</xref>]. However, these cereals are often deficient in essential amino acids like lysine and tryptophan. In contrast, legumes such as soybeans are rich in these amino acids, making them nutritionally complementary to cereals. As a result, this nutritional complementarity has led to growing interest in blending legumes and cereals to improve the overall nutritional profile of food products [<xref ref-type="bibr" rid="B3">3</xref>]. Among such legumes, <italic>okara</italic>, a by-product of soymilk and tofu production, is a nutrient-dense material rich in dietary fiber, protein (28–30%), polyunsaturated fat (8–10%), essential minerals, vitamins, and phytochemicals such as isoflavones and saponins [<xref ref-type="bibr" rid="B4">4</xref>, <xref ref-type="bibr" rid="B5">5</xref>]. It contains notable mineral levels per 100 g, including calcium, iron, phosphorus, potassium, and zinc [<xref ref-type="bibr" rid="B6">6</xref>]. Despite its nutritional value, large quantities of <italic>okara</italic> are discarded, burned, or underutilized as animal feed, contributing to environmental challenges [<xref ref-type="bibr" rid="B4">4</xref>]. Globally, tofu and soymilk production generate millions of tonnes of <italic>okara</italic> annually, particularly in Asia [<xref ref-type="bibr" rid="B6">6</xref>, <xref ref-type="bibr" rid="B7">7</xref>]. Incorporating <italic>okara</italic> into cereal-based foods can reduce waste while enhancing nutritional quality [<xref ref-type="bibr" rid="B8">8</xref>].</p>
<p id="p-2">Similarly, sorghum is a major staple crop in Africa and India and an important livestock feed worldwide, yet it remains underutilized in parts of sub-Saharan Africa. It is an energy-rich, naturally gluten-free cereal suitable for individuals with gluten intolerance [<xref ref-type="bibr" rid="B9">9</xref>]. Sorghum contains 8–18% protein and 70–80% carbohydrates, along with essential minerals and slowly digestible starch. Its kafirin proteins confer resistance to pests and harsh environments, while high prolamin and lysine contents contribute to grain hardness [<xref ref-type="bibr" rid="B9">9</xref>, <xref ref-type="bibr" rid="B10">10</xref>]. Compared with maize, sorghum has higher protein, lower fat, and comparable carbohydrate levels. Its high fiber content and low glycemic response benefit diabetics. Expanding sorghum utilization could also reduce Nigeria’s costly dependence on wheat imports [<xref ref-type="bibr" rid="B2">2</xref>, <xref ref-type="bibr" rid="B11">11</xref>, <xref ref-type="bibr" rid="B12">12</xref>].</p>
<p id="p-3">In light of these factors, recent shifts in lifestyle and dietary habits across sub-Saharan Africa, particularly in Nigeria, have led to a growing demand for convenient, ready-to-eat breakfast cereals. However, conventional maize flakes are low in protein and essential amino acids [<xref ref-type="bibr" rid="B13">13</xref>]. To address this, blending white sorghum with valorized <italic>okara</italic> can improve both nutritional quality and waste reduction [<xref ref-type="bibr" rid="B2">2</xref>, <xref ref-type="bibr" rid="B14">14</xref>]. Therefore, this study aims to evaluate the nutritional, functional, physical, and sensory properties of flakes produced from white sorghum-<italic>okara</italic> flour blends.</p>
</sec>
<sec id="s2">
<title>Materials and methods</title>
<sec id="t2-1">
<title>Procurement of raw materials</title>
<p id="p-4">White sorghum and soybeans for <italic>okara</italic> production were obtained from the North Bank Market. Other ingredients, including the emulsifier, sugar, and salt, were purchased from the Wurukum Market, both located in Makurdi, Benue State.</p>
</sec>
<sec id="t2-2">
<title>Processing of white sorghum into flours</title>
<p id="p-5">White sorghum grains were cleaned and subjected to dry milling to produce whole and coarse meal flour. The whole flour was sieved using a 60 µm mesh sieve to obtain fine flour. The flours were then stored in high-density polyethylene bags at room temperature (28°C) in preparation for flake production [<xref ref-type="bibr" rid="B15">15</xref>]. The process is illustrated in <xref ref-type="fig" rid="fig1">Figure 1</xref>.</p>
<fig id="fig1" position="float">
<label>Figure 1</label>
<caption>
<p id="fig1-p-1">
<bold>Production of fine white sorghum and coarse flour [<xref ref-type="bibr" rid="B15">15</xref>].</bold>
</p>
</caption>
<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="eff-04-1010160-g001.tif" />
</fig>
</sec>
<sec id="t2-3">
<title>Processing of <italic>okara</italic> into flours</title>
<p id="p-6">Soybeans were soaked in water at a soybean-to-water ratio of 1:3 (<italic>w</italic>/<italic>v</italic>) for 10 hours at room temperature (28 ± 2°C), with the water changed at the 5th hour to prevent fermentation. The soaked soybeans were dehulled, washed, and ground using a mill with added water to aid grinding. Thermal treatment was applied to reduce the activity of trypsin inhibitors and deactivate lipoxygenase enzymes responsible for undesirable taste [<xref ref-type="bibr" rid="B16">16</xref>]. After separating the soybean milk, the wet <italic>okara</italic> paste was dried in an oven at 60°C for 18 hours until a constant moisture content of 5% was achieved. The dried <italic>okara</italic> was milled and sieved using a 60 µm mesh sieve to obtain uniform flour. The processing steps are shown in <xref ref-type="fig" rid="fig2">Figure 2</xref>.</p>
<fig id="fig2" position="float">
<label>Figure 2</label>
<caption>
<p id="fig2-p-1">
<bold>Processing of soybean seeds into <italic>okara</italic>.</bold> Adapted from [<xref ref-type="bibr" rid="B16">16</xref>]. © 2020 The Authors. Licensed under a CC-BY.</p>
</caption>
<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="eff-04-1010160-g002.tif" />
</fig>
</sec>
<sec id="t2-4">
<title>Flake production</title>
<p id="p-7">Flake production involved mixing the composite flour (white sorghum and <italic>okara</italic>) with sugar, salt, emulsifier, baking powder, and water to form a batter. Different amount of water were added to various formulations as shown in <xref ref-type="table" rid="t1">Table 1</xref>, to achieve similar batter consistency and processability. The batter was spread to a thickness of approximately 0.40 mm on a clean, greased stainless-steel tray, after which 3 g of coarse flour per tray was sprinkled on the surface to enhance texture and crispiness. The batter was oven-dried to a semi-solid state, cut into pieces, and returned to the oven for additional drying and toasting at 200°C for 3 minutes. The finished flakes were cooled and packed in polyethylene bags and stored under ambient conditions (28 ± 2°C, relative humidity 60–65%) until further analysis. The entire production process is illustrated in <xref ref-type="fig" rid="fig3">Figure 3</xref>, and the formulation used in preparing the flakes is presented in <xref ref-type="table" rid="t1">Table 1</xref>.</p>
<table-wrap id="t1">
<label>Table 1</label>
<caption>
<p id="t1-p-1">
<bold>Percentage (composite flour basis) and weight-based formulation (per 750 g total flour) for sorghum-<italic>okara</italic> flakes production.</bold>
</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th rowspan="2">
<bold>Sample</bold>
</th>
<th colspan="2">
<bold>White sorghum flour</bold>
</th>
<th colspan="2">
<bold>
<italic>Okara</italic> flour</bold>
</th>
<th rowspan="2">
<bold>Salt (g)</bold>
</th>
<th rowspan="2">
<bold>Sugar (g)</bold>
</th>
<th rowspan="2">
<bold>Water (mL)</bold>
</th>
<th rowspan="2">
<bold>Baking powder (g)</bold>
</th>
</tr>
<tr>
<th>
<bold>(%)</bold>
</th>
<th>
<bold>(g)</bold>
</th>
<th>
<bold>(%)</bold>
</th>
<th>
<bold>(g)</bold>
</th>
</tr>
</thead>
<tbody>
<tr>
<td>
<bold>A</bold>
</td>
<td>100</td>
<td>750</td>
<td>0</td>
<td>0</td>
<td>7.5</td>
<td>37.5</td>
<td>1,000</td>
<td>7.5</td>
</tr>
<tr>
<td>
<bold>B</bold>
</td>
<td>95</td>
<td>712.5</td>
<td>5</td>
<td>37.5</td>
<td>7.5</td>
<td>37.5</td>
<td>1,062</td>
<td>7.5</td>
</tr>
<tr>
<td>
<bold>C</bold>
</td>
<td>90</td>
<td>675</td>
<td>10</td>
<td>75</td>
<td>7.5</td>
<td>37.5</td>
<td>1,125</td>
<td>7.5</td>
</tr>
<tr>
<td>
<bold>D</bold>
</td>
<td>85</td>
<td>637.5</td>
<td>15</td>
<td>112.5</td>
<td>7.5</td>
<td>37.5</td>
<td>1,187</td>
<td>7.5</td>
</tr>
<tr>
<td>
<bold>E</bold>
</td>
<td>80</td>
<td>600</td>
<td>20</td>
<td>150</td>
<td>7.5</td>
<td>37.5</td>
<td>1,250</td>
<td>7.5</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="fig3" position="float">
<label>Figure 3</label>
<caption>
<p id="fig3-p-1">
<bold>Production of sorghum-<italic>okara</italic> flakes [<xref ref-type="bibr" rid="B17">17</xref>].</bold>
</p>
</caption>
<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="eff-04-1010160-g003.tif" />
</fig>
</sec>
<sec id="t2-5">
<title>Analysis of the composite flour and flakes</title>
<p id="p-8">Functional properties of the flour such as bulk density, gelatinization temperature, water absorption capacity, and swelling index were determined according to AOAC [<xref ref-type="bibr" rid="B18">18</xref>] methods. The proximate composition of the flakes (crude protein, fat, ash, moisture, fiber, and carbohydrate) was assessed using AOAC [<xref ref-type="bibr" rid="B19">19</xref>] standards. Amino acid profiles were analyzed as per AOAC [<xref ref-type="bibr" rid="B19">19</xref>], while anti-nutritional factors including phytic acid, tannins, oxalates, lectins and trypsin inhibitor activity were measured based on AOAC [<xref ref-type="bibr" rid="B19">19</xref>]. Mineral content (calcium, potassium, phosphorus, magnesium, iron, and zinc) was evaluated using AOAC [<xref ref-type="bibr" rid="B19">19</xref>] procedures. Physical properties such as texture (TA.XTplus Texture Analyzer; Stable Micro Systems, Surrey, UK), color (colorimeter), density, size, and porosity were determined using AOAC [<xref ref-type="bibr" rid="B19">19</xref>].</p>
</sec>
<sec id="t2-6">
<title>Sensory evaluation</title>
<p id="p-9">Sensory evaluation of the flakes was conducted with 20 trained panelists using a nine-point hedonic scale (1 = “extremely dislike,” 9 = “extremely like”) to rate aroma, taste, texture, crispness, appearance, and overall acceptability [<xref ref-type="bibr" rid="B20">20</xref>]. Each panelist independently scored the samples based on their perception of each attribute.</p>
</sec>
<sec id="t2-7">
<title>Statistical analysis</title>
<p id="p-10">All experiments were performed in duplicate, and results are presented as mean ± SD. Data were analyzed using SPSS version 20, with one-way ANOVA and Duncan’s multiple range test to identify significant differences at <italic>p</italic> &lt; 0.05.</p>
</sec>
</sec>
<sec id="s3">
<title>Results</title>
<sec id="t3-1">
<title>Functional properties of sorghum-<italic>okara</italic> flour blends</title>
<p id="p-11">The results presented in <xref ref-type="table" rid="t2">Table 2</xref> show that the functional properties of sorghum-<italic>okara</italic> flour blends differed significantly (<italic>p</italic> &lt; 0.05) among the samples. Parameters such as bulk density, gelatinization temperature, water absorption capacity, and swelling index varied across the different formulations. Samples A, B, C, D, and E represent blends of 100% white sorghum; 95% white sorghum and 5% <italic>okara</italic>; 90% white sorghum and 10% <italic>okara</italic>; 85% white sorghum and 15% <italic>okara</italic>; and 80% white sorghum and 20% <italic>okara</italic>, respectively. Bulk density progressively decreased from 0.85 g/cm<sup>3</sup> in sample A to 0.70 g/cm<sup>3</sup> in sample E. Gelatinization temperature increased progressively with higher levels of <italic>okara</italic> substitution, ranging from 62.47°C in sample A to 76.11°C in sample E. Water absorption increased with higher levels of <italic>okara</italic> inclusion, ranging from 33.38% in sample A to 40.12% in sample E. The swelling index increased with the incorporation of <italic>okara</italic>, ranging from 32.63% in sample A to 36.45% in sample E.</p>
<table-wrap id="t2">
<label>Table 2</label>
<caption>
<p id="t2-p-1">
<bold>Functional properties of sorghum-<italic>okara</italic> flour blends.</bold>
</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th rowspan="2">
<bold>Parameters</bold>
</th>
<th colspan="5">
<bold>Samples</bold>
</th>
</tr>
<tr>
<th>
<bold>A</bold>
</th>
<th>
<bold>B</bold>
</th>
<th>
<bold>C</bold>
</th>
<th>
<bold>D</bold>
</th>
<th>
<bold>E</bold>
</th>
</tr>
</thead>
<tbody>
<tr>
<td>
<bold>Bulk density (g/cm<sup>3</sup>)</bold>
</td>
<td>0.85 ± 0.01<sup>a</sup></td>
<td>0.82 ± 0.01<sup>b</sup></td>
<td>0.78 ± 0.01<sup>c</sup></td>
<td>0.74 ± 0.01<sup>d</sup></td>
<td>0.70 ± 0.01<sup>e</sup></td>
</tr>
<tr>
<td>
<bold>Gelatinization temperature (°C)</bold>
</td>
<td>62.47 ± 0.05<sup>e</sup></td>
<td>65.47 ± 0.02<sup>d</sup></td>
<td>68.05 ± 0.07<sup>c</sup></td>
<td>72.03 ± 0.04<sup>b</sup></td>
<td>76.11 ± 0.01<sup>a</sup></td>
</tr>
<tr>
<td>
<bold>Water absorption (% <italic>w</italic>/<italic>w</italic>)</bold>
</td>
<td>33.38 ± 0.17<sup>e</sup></td>
<td>35.00 ± 0.00<sup>d</sup></td>
<td>36.84 ± 0.02<sup>c</sup></td>
<td>38.08 ± 0.06<sup>b</sup></td>
<td>40.12 ± 0.02<sup>a</sup></td>
</tr>
<tr>
<td>
<bold>Swelling index (%)</bold>
</td>
<td>32.63 ± 0.06<sup>e</sup></td>
<td>33.57 ± 0.04<sup>d</sup></td>
<td>34.8 ± 0.01<sup>c</sup></td>
<td>35.80 ± 0.00<sup>b</sup></td>
<td>36.45 ± 0.03<sup>a</sup></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p id="t2-fn-1">Values are means ± SD duplicate determinations. Values with different superscripts within the same row are significantly different (<italic>p</italic> &lt; 0.05). Sample A: 100% white sorghum flour and 0% <italic>okara</italic> flour; sample B: 95% white sorghum flour and 5% <italic>okara</italic> flour; sample C: 90% white sorghum flour and 10% <italic>okara</italic> flour; sample D: 85% white sorghum flour and 15% <italic>okara</italic> flour; sample E: 80% white sorghum flour and 20% <italic>okara</italic> flour.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="t3-2">
<title>Proximate composition of white sorghum-<italic>okara</italic> flakes</title>
<p id="p-12">The proximate composition of the white sorghum-<italic>okara</italic> flakes is presented in <xref ref-type="table" rid="t3">Table 3</xref>. Significant differences (<italic>p</italic> &lt; 0.05) were observed for protein, ash, moisture, and carbohydrate contents, reflecting the influence of varying proportions of sorghum flour and <italic>okara</italic> flour. This demonstrates the nutritional impact of incorporating soybean residue into the flakes. The moisture content of the breakfast cereals ranged from 6.61% (sample E) to 7.26% (sample A). The fiber content rose significantly from 3.30% in sample A to 4.68% in sample E. Protein content also increased steadily with higher <italic>okara</italic> substitution, ranging from 15.36% in sample A (100% sorghum) to 22.82% in sample E (80% sorghum, 20% <italic>okara</italic>). The fat content also showed a moderate increase, ranging from 2.56% in sample A to 3.53% in sample E. The ash content, an indicator of the total mineral concentration, increased significantly from 3.79% in sample A to 6.05% in sample E. Carbohydrate content showed an inverse trend with <italic>okara</italic> substitution, decreasing from 67.85% in sample A to 56.32% in sample E.</p>
<table-wrap id="t3">
<label>Table 3</label>
<caption>
<p id="t3-p-1">
<bold>Proximate composition of sorghum-<italic>okara</italic> flakes.</bold>
</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th rowspan="2">
<bold>Parameters</bold>
</th>
<th colspan="5">
<bold>Samples (%)</bold>
</th>
</tr>
<tr>
<th>
<bold>A</bold>
</th>
<th>
<bold>B</bold>
</th>
<th>
<bold>C</bold>
</th>
<th>
<bold>D</bold>
</th>
<th>
<bold>E</bold>
</th>
</tr>
</thead>
<tbody>
<tr>
<td>
<bold>Protein</bold>
</td>
<td>15.36 ± 0.06<sup>e</sup></td>
<td>18.62 ± 0.02<sup>d</sup></td>
<td>20.04 ± 0.06<sup>c</sup></td>
<td>21.71 ± 0.08<sup>b</sup></td>
<td>22.82 ± 0.06<sup>a</sup></td>
</tr>
<tr>
<td>
<bold>Fat</bold>
</td>
<td>2.56 ± 0.06<sup>d</sup></td>
<td>2.85 ± 0.04<sup>c</sup></td>
<td>3.00 ± 0.00<sup>bc</sup></td>
<td>3.14 ± 0.06<sup>b</sup></td>
<td>3.53 ± 0.11<sup>a</sup></td>
</tr>
<tr>
<td>
<bold>Ash</bold>
</td>
<td>3.79 ± 0.05<sup>e</sup></td>
<td>4.60 ± 0.02<sup>d</sup></td>
<td>5.18 ± 0.04<sup>c</sup></td>
<td>5.73 ± 0.03<sup>b</sup></td>
<td>6.05 ± 0.07<sup>a</sup></td>
</tr>
<tr>
<td>
<bold>Moisture</bold>
</td>
<td>7.26 ± 0.06<sup>a</sup></td>
<td>7.12 ± 0.03<sup>b</sup></td>
<td>7.00 ± 0.00<sup>c</sup></td>
<td>6.87 ± 0.02<sup>d</sup></td>
<td>6.61 ± 0.04<sup>e</sup></td>
</tr>
<tr>
<td>
<bold>Fibre</bold>
</td>
<td>3.30 ± 0.04<sup>d</sup></td>
<td>3.82 ± 0.02<sup>c</sup></td>
<td>3.93 ± 0.04<sup>c</sup></td>
<td>4.16 ± 0.01<sup>b</sup></td>
<td>4.68 ± 0.17<sup>a</sup></td>
</tr>
<tr>
<td>
<bold>Carbohydrates</bold>
</td>
<td>67.85 ± 0.08<sup>a</sup></td>
<td>63.01 ± 0.13<sup>b</sup></td>
<td>60.86 ± 0.06<sup>c</sup></td>
<td>58.40 ± 0.17<sup>d</sup></td>
<td>56.32 ± 0.25<sup>e</sup></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p id="t3-fn-1">Values are means ± SD duplicate determinations. Values with different superscripts within the same row are significantly different (<italic>p</italic> &lt; 0.05). Sample A: 100% white sorghum flour and 0% <italic>okara</italic> flour; sample B: 95% white sorghum flour and 5% <italic>okara</italic> flour; sample C: 90% white sorghum flour and 10% <italic>okara</italic> flour; sample D: 85% white sorghum flour and 15% <italic>okara</italic> flour; sample E: 80% white sorghum flour and 20% <italic>okara</italic> flour. Carbohydrate is determined by difference.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="t3-3">
<title>Amino acid profile of sorghum-<italic>okara</italic> flakes</title>
<p id="p-13">The amino acid composition of white sorghum-<italic>okara</italic> flakes is presented in <xref ref-type="table" rid="t4">Table 4</xref>. Increasing <italic>okara</italic> inclusion resulted in a significant (<italic>p</italic> &lt; 0.05) increase in amino acid content, which may be attributed to the high-quality protein contributed by <italic>okara</italic>, a soybean—derived by-product rich in essential amino acids. Lysine content increased from 2.49 g/100 g sample in sample A (100% sorghum) to 3.22 g/100 g sample in sample E (80% sorghum, 20% <italic>okara</italic>). Similarly, methionine increased from 0.52 g/100 g sample in sample A to 1.01 g/100 g sample in sample E, while cysteine increased from 0.22 g/100 g sample to 0.54 g/100 g sample. Significant increases (<italic>p</italic> &lt; 0.05) were also observed in leucine (1.75–2.46 g/100 g sample), isoleucine (0.87–1.64 g/100 g sample), valine (1.26–2.05 g/100 g sample), phenylalanine (1.18–1.76 g/100 g sample), and tyrosine (0.66–1.34 g/100 g sample), as the level of <italic>okara</italic> incorporation increased.</p>
<table-wrap id="t4">
<label>Table 4</label>
<caption>
<p id="t4-p-1">
<bold>Amino acid profile of sorghum-<italic>okara</italic> flakes.</bold>
</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th rowspan="2">
<bold>Parameters</bold>
</th>
<th colspan="5">
<bold>Samples (g/100 g)</bold>
</th>
</tr>
<tr>
<th>
<bold>A</bold>
</th>
<th>
<bold>B</bold>
</th>
<th>
<bold>C</bold>
</th>
<th>
<bold>D</bold>
</th>
<th>
<bold>E</bold>
</th>
</tr>
</thead>
<tbody>
<tr>
<td colspan="6">
<bold>Essential amino acids</bold>
</td>
</tr>
<tr>
<td>Histidine</td>
<td>0.60 ± 0.01<sup>e</sup></td>
<td>0.67 ± 0.01<sup>d</sup></td>
<td>0.72 ± 0.01<sup>c</sup></td>
<td>0.89 ± 0.01<sup>b</sup></td>
<td>1.06 ± 0.01<sup>a</sup></td>
</tr>
<tr>
<td>Isoleucine</td>
<td>0.87 ± 0.01<sup>d</sup></td>
<td>1.25 ± 0.07<sup>c</sup></td>
<td>1.45 ± 0.07<sup>b</sup></td>
<td>1.48 ± 0.01<sup>b</sup></td>
<td>1.64 ± 0.01<sup>a</sup></td>
</tr>
<tr>
<td>Leucine</td>
<td>1.75 ± 0.01<sup>e</sup></td>
<td>2.17 ± 0.01<sup>d</sup></td>
<td>2.21 ± 0.01<sup>c</sup></td>
<td>2.34 ± 0.01<sup>b</sup></td>
<td>2.46 ± 0.00<sup>a</sup></td>
</tr>
<tr>
<td>Lysine</td>
<td>2.49 ± 0.00<sup>e</sup></td>
<td>2.81 ± 0.01<sup>d</sup></td>
<td>3.05 ± 0.01<sup>c</sup></td>
<td>3.12 ± 0.00<sup>b</sup></td>
<td>3.22 ± 0.01<sup>a</sup></td>
</tr>
<tr>
<td>Methionine</td>
<td>0.52 ± 0.01<sup>d</sup></td>
<td>0.55 ± 0.00<sup>c</sup></td>
<td>0.65 ± 0.01<sup>b</sup></td>
<td>0.67 ± 0.01<sup>b</sup></td>
<td>1.01 ± 0.00<sup>a</sup></td>
</tr>
<tr>
<td>Phenylalanine</td>
<td>1.18 ± 0.01<sup>d</sup></td>
<td>1.54 ± 0.00<sup>c</sup></td>
<td>1.56 ± 0.01<sup>c</sup></td>
<td>1.74 ± 0.00<sup>b</sup></td>
<td>1.76 ± 0.01<sup>a</sup></td>
</tr>
<tr>
<td>Threonine</td>
<td>0.35 ± 0.00<sup>e</sup></td>
<td>1.05 ± 0.00<sup>d</sup></td>
<td>1.13 ± 0.01<sup>c</sup></td>
<td>1.25 ± 0.01<sup>b</sup></td>
<td>1.33 ± 0.01<sup>a</sup></td>
</tr>
<tr>
<td>Tryptophan</td>
<td>1.03 ± 0.01<sup>d</sup></td>
<td>1.44 ± 0.01<sup>c</sup></td>
<td>1.54 ± 0.01<sup>b</sup></td>
<td>1.55 ± 0.01<sup>b</sup></td>
<td>1.76 ± 0.00<sup>a</sup></td>
</tr>
<tr>
<td>Valine</td>
<td>1.26 ± 0.01<sup>d</sup></td>
<td>1.66 ± 0.02<sup>c</sup></td>
<td>1.76 ± 0.01<sup>b</sup></td>
<td>1.78 ± 0.01<sup>b</sup></td>
<td>2.05 ± 0.00<sup>a</sup></td>
</tr>
<tr>
<td colspan="6">
<bold>Non-essential amino acids</bold>
</td>
</tr>
<tr>
<td>Alanine</td>
<td>0.63 ± 0.00<sup>e</sup></td>
<td>1.05 ± 0.01<sup>d</sup></td>
<td>1.13 ± 0.01<sup>c</sup></td>
<td>1.33 ± 0.01<sup>b</sup></td>
<td>1.45 ± 0.01<sup>a</sup></td>
</tr>
<tr>
<td>Arginine</td>
<td>0.37 ± 0.01<sup>e</sup></td>
<td>0.72 ± 0.01<sup>d</sup></td>
<td>0.81 ± 0.01<sup>c</sup></td>
<td>1.02 ± 0.01<sup>b</sup></td>
<td>1.16 ± 0.00<sup>a</sup></td>
</tr>
<tr>
<td>Aspartic acid</td>
<td>0.83 ± 0.00<sup>e</sup></td>
<td>1.28 ± 0.01<sup>d</sup></td>
<td>1.34 ± 0.00<sup>c</sup></td>
<td>1.41 ± 0.01<sup>b</sup></td>
<td>1.62 ± 0.01<sup>a</sup></td>
</tr>
<tr>
<td>Cysteine</td>
<td>0.22 ± 0.01<sup>d</sup></td>
<td>0.24 ± 0.01<sup>d</sup></td>
<td>0.36 ± 0.01<sup>c</sup></td>
<td>0.48 ± 0.01<sup>b</sup></td>
<td>0.54 ± 0.01<sup>a</sup></td>
</tr>
<tr>
<td>Glutamic acid</td>
<td>3.25 ± 0.07<sup>d</sup></td>
<td>3.62 ± 0.01<sup>c</sup></td>
<td>3.75 ± 0.01<sup>b</sup></td>
<td>3.76 ± 0.00<sup>b</sup></td>
<td>4.10 ± 0.00<sup>a</sup></td>
</tr>
<tr>
<td>Glycine</td>
<td>0.18 ± 0.00<sup>e</sup></td>
<td>0.23 ± 0.01<sup>d</sup></td>
<td>0.31 ± 0.01<sup>c</sup></td>
<td>0.36 ± 0.01<sup>b</sup></td>
<td>0.58 ± 0.01<sup>a</sup></td>
</tr>
<tr>
<td>Proline</td>
<td>1.73 ± 0.01<sup>d</sup></td>
<td>2.11 ± 0.01<sup>c</sup></td>
<td>2.13 ± 0.01<sup>b</sup></td>
<td>2.13 ± 0.01<sup>b</sup></td>
<td>2.49 ± 0.01<sup>a</sup></td>
</tr>
<tr>
<td>Serine</td>
<td>1.42 ± 0.01<sup>e</sup></td>
<td>1.81 ± 0.00<sup>d</sup></td>
<td>1.84 ± 0.00<sup>c</sup></td>
<td>2.03 ± 0.01<sup>b</sup></td>
<td>2.21 ± 0.00<sup>a</sup></td>
</tr>
<tr>
<td>Tyrosine</td>
<td>0.66 ± 0.01<sup>e</sup></td>
<td>1.11 ± 0.01<sup>d</sup></td>
<td>1.17 ± 0.01<sup>c</sup></td>
<td>1.23 ± 0.00<sup>b</sup></td>
<td>1.34 ± 0.00<sup>a</sup></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p id="t4-fn-1">Values are means ± SD duplicate determinations. Values with different superscripts within the same row are significantly different (<italic>p</italic> &lt; 0.05). Sample A: 100% white sorghum flour and 0% <italic>okara</italic> flour; sample B: 95% white sorghum flour and 5% <italic>okara</italic> flour; sample C: 90% white sorghum flour and 10% <italic>okara</italic> flour; sample D: 85% white sorghum flour and 15% <italic>okara</italic> flour; sample E: 80% white sorghum flour and 20% <italic>okara</italic> flour.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="t3-4">
<title>Anti-nutritional composition of sorghum-<italic>okara</italic> flakes</title>
<p id="p-14">The anti-nutritional composition of the sorghum-<italic>okara</italic> flakes is presented in <xref ref-type="table" rid="t5">Table 5</xref>. Phytic acid content decreased significantly (<italic>p</italic> &lt; 0.05) with increasing <italic>okara</italic> inclusion, from 3.41 mg/100 g in sample A (100% sorghum) to 2.27 mg/100 g in sample E (80% sorghum, 20% <italic>okara</italic>). In contrast, oxalate content increased significantly (<italic>p</italic> &lt; 0.05) with higher <italic>okara</italic> incorporation, rising from 3.43 mg/100 g in sample A to 5.27 mg/100 g in sample E. Tannin content decreased progressively from 1.77 mg/100 g in sample A to 0.14 mg/100 g in sample E. Lectin levels increased from 65.34 mg/100 g in sample A to 74.00 mg/100 g in sample E, while trypsin inhibitor activity (TIA) also rose from 24.00 to 33.03 mg/100 g.</p>
<table-wrap id="t5">
<label>Table 5</label>
<caption>
<p id="t5-p-1">
<bold>Anti-nutritional composition of sorghum-<italic>okara</italic> flakes.</bold>
</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th rowspan="2">
<bold>Parameters</bold>
</th>
<th colspan="5">
<bold>Samples (mg/100 g)</bold>
</th>
</tr>
<tr>
<th>
<bold>A</bold>
</th>
<th>
<bold>B</bold>
</th>
<th>
<bold>C</bold>
</th>
<th>
<bold>D</bold>
</th>
<th>
<bold>E</bold>
</th>
</tr>
</thead>
<tbody>
<tr>
<td>
<bold>Phytic acids</bold>
</td>
<td>3.41 ± 0.01<sup>a</sup></td>
<td>3.14 ± 0.00<sup>b</sup></td>
<td>2.88 ± 0.01<sup>c</sup></td>
<td>2.54 ± 0.02<sup>d</sup></td>
<td>2.27 ± 0.08<sup>e</sup></td>
</tr>
<tr>
<td>
<bold>Oxalate</bold>
</td>
<td>3.43 ± 0.04<sup>e</sup></td>
<td>3.76 ± 0.04<sup>d</sup></td>
<td>4.29 ± 0.04<sup>c</sup></td>
<td>4.83 ± 0.04<sup>b</sup></td>
<td>5.27 ± 0.06<sup>a</sup></td>
</tr>
<tr>
<td>
<bold>Tanins</bold>
</td>
<td>1.77 ± 0.09<sup>a</sup></td>
<td>1.36 ± 0.06<sup>b</sup></td>
<td>1.00 ± 0.00<sup>c</sup></td>
<td>0.73 ± 0.04<sup>d</sup></td>
<td>0.14 ± 0.02<sup>e</sup></td>
</tr>
<tr>
<td>
<bold>Lectin</bold>
</td>
<td>65.34 ± 0.02<sup>e</sup></td>
<td>67.46 ± 0.01<sup>d</sup></td>
<td>68.59 ± 0.02<sup>c</sup></td>
<td>71.67 ± 0.02<sup>b</sup></td>
<td>74.00 ± 0.00<sup>a</sup></td>
</tr>
<tr>
<td>
<bold>TIA</bold>
</td>
<td>24.00 ± 0.02<sup>e</sup></td>
<td>26.5 ± 0.01<sup>d</sup></td>
<td>28.00 ± 0.00<sup>c</sup></td>
<td>31.04 ± 0.02<sup>b</sup></td>
<td>33.03 ± 0.00<sup>a</sup></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p id="t5-fn-1">Values are means ± SD duplicate determinations. Values with different superscripts within the same row are significantly different (<italic>p</italic> &lt; 0.05). Sample A: 100% white sorghum flour and 0% <italic>okara</italic> flour; sample B: 95% white sorghum flour and 5% <italic>okara</italic> flour; sample C: 90% white sorghum flour and 10% <italic>okara</italic> flour; sample D: 85% white sorghum flour and 15% <italic>okara</italic> flour; sample E: 80% white sorghum flour and 20% <italic>okara</italic> flour.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="t3-5">
<title>Mineral composition of sorghum-<italic>okara</italic> flakes</title>
<p id="p-15">The mineral content of the sorghum-<italic>okara</italic> flakes increased consistently with the level of <italic>okara</italic> incorporation from sample A to sample E (<xref ref-type="table" rid="t6">Table 6</xref>). Magnesium increased from 37.40 to 51.79 mg/100 g, iron from 1.63 to 4.14 mg/100 g, potassium from 233.38 to 300.48 mg/100 g, phosphorus from 140.14 to 263.82 mg/100 g, zinc from 0.79 to 1.33 mg/100 g, and calcium from 9.71 to 17.25 mg/100 g.</p>
<table-wrap id="t6">
<label>Table 6</label>
<caption>
<p id="t6-p-1">
<bold>Mineral composition of sorghum-<italic>okara</italic> flakes.</bold>
</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th rowspan="2">
<bold>Parameters</bold>
</th>
<th colspan="5">
<bold>Samples (mg/100 g)</bold>
</th>
</tr>
<tr>
<th>
<bold>A</bold>
</th>
<th>
<bold>B</bold>
</th>
<th>
<bold>C</bold>
</th>
<th>
<bold>D</bold>
</th>
<th>
<bold>E</bold>
</th>
</tr>
</thead>
<tbody>
<tr>
<td>
<bold>Magnesium</bold>
</td>
<td>37.40 ± 0.03<sup>e</sup></td>
<td>42.57 ± 0.02<sup>d</sup></td>
<td>47.78 ± 0.03<sup>c</sup></td>
<td>49.68 ± 0.11<sup>b</sup></td>
<td>51.79 ± 0.13<sup>a</sup></td>
</tr>
<tr>
<td>
<bold>Iron</bold>
</td>
<td>1.63 ± 0.10<sup>e</sup></td>
<td>2.11 ± 0.01<sup>d</sup></td>
<td>2.51 ± 0.01<sup>c</sup></td>
<td>3.11 ± 0.01<sup>b</sup></td>
<td>4.14 ± 0.06<sup>a</sup></td>
</tr>
<tr>
<td>
<bold>Potassium</bold>
</td>
<td>233.38 ± 0.08<sup>e</sup></td>
<td>248.47 ± 0.04<sup>d</sup></td>
<td>262.64 ± 0.03<sup>c</sup></td>
<td>283.26 ± 0.20<sup>b</sup></td>
<td>300.48 ± 0.11<sup>a</sup></td>
</tr>
<tr>
<td>
<bold>Phosphorus</bold>
</td>
<td>140.14 ± 0.08<sup>e</sup></td>
<td>184.00 ± 0.00<sup>d</sup></td>
<td>222.04 ± 0.01<sup>c</sup></td>
<td>240.59 ± 0.01<sup>b</sup></td>
<td>263.82 ± 0.02<sup>a</sup></td>
</tr>
<tr>
<td>
<bold>Zinc</bold>
</td>
<td>0.79 ± 0.04<sup>e</sup></td>
<td>0.89 ± 0.02<sup>d</sup></td>
<td>1.12 ± 0.00<sup>c</sup></td>
<td>1.19 ± 0.01<sup>b</sup></td>
<td>1.33 ± 0.03<sup>a</sup></td>
</tr>
<tr>
<td>
<bold>Calcium</bold>
</td>
<td>9.71 ± 0.04<sup>e</sup></td>
<td>10.37 ± 0.18<sup>d</sup></td>
<td>12.31 ± 0.06<sup>c</sup></td>
<td>15.11 ± 0.01<sup>b</sup></td>
<td>17.25 ± 0.04<sup>a</sup></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p id="t6-fn-1">Values are means ± SD duplicate determinations. Values with different superscripts within the same row are significantly different (<italic>p</italic> &lt; 0.05). Sample A: 100% white sorghum flour and 0% <italic>okara</italic> flour; sample B: 95% white sorghum flour and 5% <italic>okara</italic> flour; sample C: 90% white sorghum flour and 10% <italic>okara</italic> flour; sample D: 85% white sorghum flour and 15% <italic>okara</italic> flour; sample E: 80% white sorghum flour and 20% <italic>okara</italic> flour.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="t3-6">
<title>Physical properties of white sorghum-<italic>okara</italic> flakes</title>
<p id="p-16">The physical properties of sorghum-<italic>okara</italic> flakes (<xref ref-type="table" rid="t7">Table 7</xref>) exhibited progressive changes with increasing <italic>okara</italic> substitution from sample A to sample E. Texture increased significantly (<italic>p</italic> &lt; 0.05) from 2.83 mm in sample A to 3.38 mm in sample E. Colour increased from 0.00 to 5.32 mg/L-Pt. Density increased from 0.12 g/cm<sup>3</sup> to 0.16 g/cm<sup>3</sup> and the size of the flakes expanded from 1.37 cm to 1.84 cm.</p>
<table-wrap id="t7">
<label>Table 7</label>
<caption>
<p id="t7-p-1">
<bold>Physical properties of sorghum-<italic>okara</italic> flakes.</bold>
</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th rowspan="2">
<bold>Parameters</bold>
</th>
<th colspan="5">
<bold>Samples</bold>
</th>
</tr>
<tr>
<th>
<bold>A</bold>
</th>
<th>
<bold>B</bold>
</th>
<th>
<bold>C</bold>
</th>
<th>
<bold>D</bold>
</th>
<th>
<bold>E</bold>
</th>
</tr>
</thead>
<tbody>
<tr>
<td>
<bold>Texture (mm)</bold>
</td>
<td>2.83 ± 0.05<sup>d</sup></td>
<td>2.92 ± 0.03<sup>cd</sup></td>
<td>3.00 ± 0.00<sup>c</sup></td>
<td>3.16 ± 0.06<sup>b</sup></td>
<td>3.38 ± 0.04<sup>a</sup></td>
</tr>
<tr>
<td>
<bold>Colour (mg/L-Pt)</bold>
</td>
<td>0.00 ± 0.00<sup>d</sup></td>
<td>4.79 ± 0.01<sup>c</sup></td>
<td>4.97 ± 0.02<sup>b</sup></td>
<td>5.19 ± 0.02<sup>a</sup></td>
<td>5.32 ± 0.03<sup>a</sup></td>
</tr>
<tr>
<td>
<bold>Density (g/cm<sup>3</sup>)</bold>
</td>
<td>0.12 ± 0.00<sup>d</sup></td>
<td>0.12 ± 0.00<sup>d</sup></td>
<td>0.14 ± 0.00<sup>c</sup></td>
<td>0.15 ± 0.00<sup>b</sup></td>
<td>0.16 ± 0.00<sup>a</sup></td>
</tr>
<tr>
<td>
<bold>Size (cm)</bold>
</td>
<td>1.37 ± 0.05<sup>d</sup></td>
<td>1.56 ± 0.06<sup>c</sup></td>
<td>1.72 ± 0.03<sup>b</sup></td>
<td>1.79 ± 0.01<sup>ab</sup></td>
<td>1.84 ± 0.01<sup>a</sup></td>
</tr>
<tr>
<td>
<bold>Porosity (%)</bold>
</td>
<td>48.67 ± 0.04<sup>e</sup></td>
<td>52.76 ± 0.01<sup>d</sup></td>
<td>58.46 ± 0.03<sup>c</sup></td>
<td>63.59 ± 0.02<sup>b</sup></td>
<td>70.30 ± 0.05<sup>a</sup></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p id="t7-fn-1">Values are means ± SD duplicate determinations. Values with different superscripts within the same row are significantly different (<italic>p</italic> &lt; 0.05). Sample A: 100% white sorghum flour and 0% <italic>okara</italic> flour; sample B: 95% white sorghum flour and 5% <italic>okara</italic> flour; sample C: 90% white sorghum flour and 10% <italic>okara</italic> flour; sample D: 85% white sorghum flour and 15% <italic>okara</italic> flour; sample E: 80% white sorghum flour and 20% <italic>okara</italic> flour.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="t3-7">
<title>Sensory attributes of sorghum-<italic>okara</italic> flakes</title>
<p id="p-17">The sensory evaluation results for the sorghum <italic>okara</italic> flakes (<xref ref-type="table" rid="t8">Table 8</xref>) indicate strong overall acceptance across appearance (5.95–6.70), aroma (6.10–6.65), taste (6.40–7.20), crispness (6.20–7.85), and overall liking (6.75–7.40), even with up to 20% <italic>okara</italic> incorporation.</p>
<table-wrap id="t8">
<label>Table 8</label>
<caption>
<p id="t8-p-1">
<bold>Sensory attributes of sorghum-<italic>okara</italic> flakes.</bold>
</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th rowspan="2">
<bold>Parameters</bold>
</th>
<th colspan="5">
<bold>Samples</bold>
</th>
</tr>
<tr>
<th>
<bold>A</bold>
</th>
<th>
<bold>B</bold>
</th>
<th>
<bold>C</bold>
</th>
<th>
<bold>D</bold>
</th>
<th>
<bold>E</bold>
</th>
</tr>
</thead>
<tbody>
<tr>
<td>
<bold>Appearance</bold>
</td>
<td>6.55 ± 1.28<sup>a</sup></td>
<td>6.70 ± 1.72<sup>a</sup></td>
<td>6.15 ± 1.93<sup>a</sup></td>
<td>5.95 ± 1.93<sup>a</sup></td>
<td>6.60 ± 1.67<sup>a</sup></td>
</tr>
<tr>
<td>
<bold>Aroma</bold>
</td>
<td>6.10 ± 1.65<sup>a</sup></td>
<td>6.35 ± 1.73<sup>a</sup></td>
<td>6.10 ± 1.71<sup>a</sup></td>
<td>6.25 ± 1.71<sup>a</sup></td>
<td>6.65 ± 1.69<sup>a</sup></td>
</tr>
<tr>
<td>
<bold>Taste</bold>
</td>
<td>7.20 ± 1.28<sup>a</sup></td>
<td>6.40 ± 1.39<sup>a</sup></td>
<td>6.60 ± 1.60<sup>a</sup></td>
<td>6.80 ± 1.82<sup>a</sup></td>
<td>6.95 ± 2.01<sup>a</sup></td>
</tr>
<tr>
<td>
<bold>Crispness</bold>
</td>
<td>7.85 ± 1.27<sup>a</sup></td>
<td>7.00 ± 1.41<sup>ab</sup></td>
<td>6.20 ± 1.91<sup>b</sup></td>
<td>6.40 ± 2.21<sup>b</sup></td>
<td>7.65 ± 1.09<sup>a</sup></td>
</tr>
<tr>
<td>
<bold>Overall acceptability</bold>
</td>
<td>6.85 ± 1.66<sup>a</sup></td>
<td>6.90 ± 1.65<sup>a</sup></td>
<td>6.75 ± 1.77<sup>a</sup></td>
<td>6.80 ± 1.88<sup>a</sup></td>
<td>7.40 ± 1.54<sup>a</sup></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p id="t8-fn-1">Values are means ± SD duplicate determinations. Values with different superscripts within the same row are significantly different (<italic>p</italic> &lt; 0.05). Sample A: 100% white sorghum flour and 0% <italic>okara</italic> flour; sample B: 95% white sorghum flour and 5% <italic>okara</italic> flour; sample C: 90% white sorghum flour and 10% <italic>okara</italic> flour; sample D: 85% white sorghum flour and 15% <italic>okara</italic> flour; sample E: 80% white sorghum flour and 20% <italic>okara</italic> flour.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="s4">
<title>Discussion</title>
<sec id="t4-1">
<title>Functional properties of sorghum-<italic>okara</italic> flour blends</title>
<p id="p-18">Bulk density of the flour blends decreased with increasing <italic>okara</italic> inclusion, likely due to the higher fiber content and lower starch density of <italic>okara</italic> compared with sorghum. This reduction suggests that the blends are suitable for high nutrient-density foods and may require adjusted packaging and handling due to lower particle compaction [<xref ref-type="bibr" rid="B14">14</xref>]. This trend aligns with the findings of Ajanaku et al. [<xref ref-type="bibr" rid="B21">21</xref>], who reported similar results for maize-soy and sorghum-soy composite flours, with bulk densities ranging from 0.70 to 0.84 g/cm<sup>3</sup>. Adebowale et al. [<xref ref-type="bibr" rid="B22">22</xref>] observed a different result an increase in bulk density from 0.42 to 1.24 g/cm<sup>3</sup> in <italic>okara</italic>-wheat flour blends as the level of <italic>okara</italic> incorporation increased. Gelatinization temperature increased with higher <italic>okara</italic> levels, indicating stronger starch-protein interactions, which could influence the texture and digestibility of products made from these blends [<xref ref-type="bibr" rid="B14">14</xref>]. Water absorption capacity and swelling index also increased, reflecting the hydrophilic nature of <italic>okara</italic> proteins and the balance between damaged and intact starch granules. These properties suggest improved functional performance in food applications, such as enhanced hydration, dough formation, and potential textural benefits [<xref ref-type="bibr" rid="B4">4</xref>, <xref ref-type="bibr" rid="B5">5</xref>, <xref ref-type="bibr" rid="B14">14</xref>]. The effects of varying particle size of <italic>okara</italic> flour were not explored, which may further influence these functional properties.</p>
</sec>
<sec id="t4-2">
<title>Proximate composition and amino acid profile of white sorghum-<italic>okara</italic> flakes</title>
<p id="p-19">The moisture content of all the samples was within the recommended limit (≤ 13%), indicating good shelf stability and safe storage potential [<xref ref-type="bibr" rid="B23">23</xref>]. Increasing <italic>okara</italic> substitution reduced moisture, likely due to lower water-binding by <italic>okara</italic> components compared with starch, and increased porosity that enhanced heat and air penetration during drying. Total starch decreased with higher okara levels, further contributing to reduced structural water retention. This result contrasts with findings by Abogunrin et al. [<xref ref-type="bibr" rid="B24">24</xref>] and Ezegbe et al. [<xref ref-type="bibr" rid="B2">2</xref>], who reported higher moisture retention in pigeon pea-fortified cereals. Ezegbe et al. [<xref ref-type="bibr" rid="B2">2</xref>] attributed the increase to the soluble fiber in pigeon peas, which enhances water-holding capacity during processing. Fiber and protein contents increased significantly with <italic>okara</italic> inclusion, reflecting the high residual fiber and protein in soybean residue. These changes enhance the nutritional value, supporting digestive health and improving protein quality, making the flakes suitable as functional foods [<xref ref-type="bibr" rid="B2">2</xref>, <xref ref-type="bibr" rid="B24">24</xref>, <xref ref-type="bibr" rid="B25">25</xref>]. Similar improvements in fiber content have been reported with the incorporation of soybean derivatives into cereal products [<xref ref-type="bibr" rid="B25">25</xref>]. Previous studies have similarly reported enhanced protein content in cereals when legume-based flours were incorporated [<xref ref-type="bibr" rid="B2">2</xref>, <xref ref-type="bibr" rid="B24">24</xref>]. For instance, Abogunrin et al. [<xref ref-type="bibr" rid="B24">24</xref>] observed only 7.36% protein in maize-based flakes, while Ezegbe et al. [<xref ref-type="bibr" rid="B2">2</xref>] reported 10.93–14.30% in maize-pigeon pea flakes. In comparison, the protein content (15.36–22.82%) in sorghum-<italic>okara</italic> flakes from this study was considerably higher. This supports the view that blending cereals with legumes enhances nutrient density and protein quality, making such products valuable complementary foods. Moderate increases in fat and ash contents were observed, attributable to residual lipids and minerals in <italic>okara</italic>, providing additional energy and micronutrients without compromising storage stability. Importantly, the fat content of all samples remained within acceptable limits (&lt; 10%) for ready-to-eat cereal products. This indicates that <italic>okara</italic> addition can improve the energy density of the flakes without compromising storage stability. Carbohydrate content declined with <italic>okara</italic> addition, which may contribute to a lower glycemic response and improved suitability for health-conscious consumers [<xref ref-type="bibr" rid="B3">3</xref>]. According to the USDA, the recommended daily allowances for lysine, methionine, leucine, isoleucine, and valine are 5.8, 2.2, 6.6, 2.8, and 3.5 g/100 g protein, respectively [<xref ref-type="bibr" rid="B26">26</xref>]. These recommended daily allowance values are higher than the corresponding values obtained in this study. Nevertheless, the relatively high lysine content observed here is nutritionally important, as legumes help compensate for the lysine deficiency typically found in cereals [<xref ref-type="bibr" rid="B26">26</xref>]. Methionine and cysteine, the sulfur-containing amino acids, are often limited in legume-based proteins [<xref ref-type="bibr" rid="B27">27</xref>]. Non-essential amino acids, including glutamic acid, proline, and aspartic acid, also increased with <italic>okara</italic> substitution. These findings align with those of Shuluwa et al. [<xref ref-type="bibr" rid="B28">28</xref>], who reported that soybean addition enhanced glutamic acid, proline, and aspartic acid contents in flakes. Overall, the flakes exhibited a favorable amino acid profile, with lysine being the most abundant essential amino acid (2.49–3.22 g/100 g sample) and glutamic acid being the highest among the non-essential amino acids (3.25–4.10 g/100 g sample). The amino acid content of the breakfast cereals from this study was also higher than that of breakfast cereals made from 100% maize or from maize combined with partially defatted peanut and beetroot, as reported by Akor et al. [<xref ref-type="bibr" rid="B29">29</xref>].</p>
</sec>
<sec id="t4-3">
<title>Anti-nutritional composition of sorghum-<italic>okara</italic> flakes</title>
<p id="p-20">Phytic acid decreased with increasing <italic>okara</italic> inclusion, likely due to its lower content in <italic>okara</italic> and partial degradation during processing, which may enhance mineral bioavailability [<xref ref-type="bibr" rid="B30">30</xref>]. Oxalate content increased significantly reflecting the naturally higher levels in soy products, but remained below the reported lethal threshold, suggesting minimal risk to calcium absorption [<xref ref-type="bibr" rid="B31">31</xref>, <xref ref-type="bibr" rid="B32">32</xref>]. Decreased in Tannin content with increasing <italic>okara</italic> inclusion, likely reflecting the lower tannin concentration in <italic>okara</italic> and the effect of thermal processing, which can denature tannin protein complexes [<xref ref-type="bibr" rid="B33">33</xref>]. Lectin content and trypsin inhibitor activities increased with higher <italic>okara</italic> proportions, consistent with soybean composition, yet their levels remained below harmful limits (~400 mg/100 g), indicating that protein digestibility is unlikely to be substantially impaired [<xref ref-type="bibr" rid="B30">30</xref>, <xref ref-type="bibr" rid="B34">34</xref>]. A limitation is that the study did not assess how these anti-nutritional factors interact during digestion, which could further influence nutrient bioavailability.</p>
</sec>
<sec id="t4-4">
<title>Mineral composition of sorghum-<italic>okara</italic> flakes</title>
<p id="p-21">This progressive increase in mineral composition can be attributed to the mineral-rich nature of <italic>okara</italic>, a soybean by-product known to contain substantial amounts of calcium, magnesium, phosphorus, potassium, and trace elements such as zinc and iron [<xref ref-type="bibr" rid="B5">5</xref>]. The notable rise in iron content from sample A to sample E is particularly significant, as iron deficiency remains a public health concern in populations reliant on cereal-based diets. Similar improvements in iron content have been reported in other studies where <italic>okara</italic> or legume flours were incorporated into cereal-based products [<xref ref-type="bibr" rid="B35">35</xref>]. Potassium and phosphorus enrichment also aligns with the compositional profile of <italic>okara</italic> and has been observed in fortified bakery and snack products, contributing to improved electrolyte balance and bone health. Although increases in zinc and calcium were comparatively modest, they are still nutritionally relevant, given the low bioavailability of these minerals in plant-based foods. The presence of antinutritional factors such as phytates could reduce mineral absorption, but processing methods like fermentation, germination, and enzymatic treatments have been shown to enhance bioavailability [<xref ref-type="bibr" rid="B36">36</xref>]. Overall, these results demonstrate that incorporating <italic>okara</italic> into sorghum flakes is an effective strategy for enhancing mineral density, consistent with recent findings supporting the valorization of <italic>okara</italic> as a fortifying ingredient in functional foods [<xref ref-type="bibr" rid="B36">36</xref>].</p>
</sec>
<sec id="t4-5">
<title>Physical properties of sorghum-<italic>okara</italic> flakes</title>
<p id="p-22">Increased in texture with higher <italic>okara</italic> incorporation indicate greater firmness. This trend is consistent with previous findings in extruded cereal-based snacks, where increased <italic>okara</italic> or other fiber-rich legume flours elevated hardness and bulk density while reducing expansion and crispness due to fiber’s restriction of starch gelatinization and bubble growth during extrusion [<xref ref-type="bibr" rid="B37">37</xref>]. Colour intensity increased in flakes suggesting a transition towards a darker, more reddish-brown hue with higher <italic>okara</italic> content. Such changes are attributable to intensified Maillard reactions between amino acids and reducing sugars, as well as the natural pigment concentration from soybean residues, aligning with reports on <italic>okara</italic>-fortified extrudates and bakery products [<xref ref-type="bibr" rid="B25">25</xref>]. Density also increased, implying greater compactness in the final product. This is in agreement with studies indicating that the addition of insoluble dietary fiber, such as that in <italic>okara</italic>, limits matrix expansion during thermal processing, resulting in denser extrudates [<xref ref-type="bibr" rid="B37">37</xref>]. The size of the flakes expanded with higher <italic>okara</italic> incorporation, which may be due to improved water-binding and structural cohesion conferred by <italic>okara</italic>’s protein-fiber network. This could enhance dough viscoelasticity and expansion during processing, producing slightly larger flakes. Interestingly, porosity increased markedly from 48.67% to 70.30% despite the higher density and firmness observed. This suggests that the fibrous structure of <italic>okara</italic> may facilitate steam entrapment during processing, promoting the formation of more air voids within a denser matrix a phenomenon also documented in high-fiber extrudates [<xref ref-type="bibr" rid="B37">37</xref>].</p>
</sec>
<sec id="t4-6">
<title>Sensory attributes of sorghum-<italic>okara</italic> flakes</title>
<p id="p-23">The appearance scores had no significant differences among samples, suggesting that <italic>okara</italic> inclusion did not negatively affect visual appeal. This agrees with findings on <italic>okara</italic>-enriched gluten-free waffles, which also retained acceptable color and visual properties [<xref ref-type="bibr" rid="B38">38</xref>]. Aroma ratings were consistent across formulations, indicating stable olfactory appeal. This aligns with extrusion studies where <italic>okara</italic> addition did not introduce undesirable odors and was well received in multi-grain snack formulations [<xref ref-type="bibr" rid="B25">25</xref>]. Taste scores ranged from 6.40 to 7.20, with all samples rated favorably. This finding is consistent with reports on <italic>okara</italic>-enriched amaranth-plantain-sorghum products, where moderate <italic>okara</italic> levels maintained taste acceptability [<xref ref-type="bibr" rid="B39">39</xref>]. Crispness showed more variation: sample A (control) recorded the highest value (7.85), while mid-level <italic>okara</italic> samples (C and D: ~6.2–6.4) were lower, followed by an improvement in sample E (7.65). Similar patterns have been reported in extruded snacks, where higher fiber and protein from <italic>okara</italic> reduce expansion and crispness, although acceptability improves again when inclusion levels are optimized [<xref ref-type="bibr" rid="B25">25</xref>]. Overall acceptability was high for all samples, with sample E (20% <italic>okara)</italic> achieving the highest score. These results confirm that up to 20% <italic>okara</italic> substitution does not compromise consumer preference and support previous studies showing durable consumer liking for <italic>okara</italic>-fortified snacks and baked goods [<xref ref-type="bibr" rid="B25">25</xref>, <xref ref-type="bibr" rid="B39">39</xref>].</p>
</sec>
<sec id="t4-7">
<title>Conclusion</title>
<p id="p-24">The study demonstrated that the incorporation of <italic>okara</italic> significantly improved their nutritional quality, particularly protein, fiber, essential amino acids, and mineral content, without introducing harmful levels of anti-nutritional factors. Among the formulations, flakes produced with 80% white sorghum flour and 20% <italic>okara</italic> showed the highest overall sensory acceptability. These findings highlight the potential of sorghum-<italic>okara</italic> flakes as a nutritious, affordable breakfast cereal and a sustainable approach to valorizing soybean by-products. Future studies should focus on optimizing large-scale processing methods, such as extrusion, and evaluating product stability and consumer acceptance during storage.</p>
</sec>
</sec>
</body>
<back>
<sec id="s5">
<title>Declarations</title>
<sec id="t-5-1">
<title>Author contributions</title>
<p>CSN: Conceptualization, Supervision, Writing—original draft. SJI: Visualization, Writing—original draft. CMBT: Supervision, Writing—review &amp; editing. EOO: Writing—review &amp; editing. CFO: Writing—review &amp; editing. CME: Visualization, Writing—review &amp; editing. OSO: Writing—review &amp; editing. JTM: Writing—review &amp; editing. TAA: Writing—review &amp; editing. All authors have read and approved the submitted manuscript.</p>
</sec>
<sec id="t-5-2" sec-type="COI-statement">
<title>Conflicts of interest</title>
<p>The authors declare that they have no conflicts of interest.</p>
</sec>
<sec id="t-5-3">
<title>Ethical approval</title>
<p>The sensory evaluation conducted in this study involved adult volunteer panelists, assessed commercially acceptable food products, and posed no health, psychological, or physical risk to participants. Therefore, formal ethical committee approval was not required according to institutional and national guidelines for minimal-risk food sensory studies.</p>
</sec>
<sec id="t-5-4">
<title>Consent to participate</title>
<p>Informed consent to participation in the study was obtained from all participants.</p>
</sec>
<sec id="t-5-5">
<title>Consent to publication</title>
<p>Not applicable.</p>
</sec>
<sec id="t-5-6" sec-type="data-availability">
<title>Availability of data and materials</title>
<p>The raw data supporting the conclusions of this manuscript will be made available by the authors, without undue reservation, to any qualified researcher.</p>
</sec>
<sec id="t-5-7">
<title>Funding</title>
<p>Not applicable.</p>
</sec>
<sec id="t-5-8">
<title>Copyright</title>
<p>© The Author(s) 2026.</p>
</sec>
</sec>
<sec id="s6">
<title>Publisher’s note</title>
<p>Open Exploration maintains a neutral stance on jurisdictional claims in published institutional affiliations and maps. All opinions expressed in this article are the personal views of the author(s) and do not represent the stance of the editorial team or the publisher.</p>
</sec>
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