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<front>
<journal-meta>
<journal-id journal-id-type="pmc">706</journal-id>
<journal-title-group>
<journal-title specific-use="original" xml:lang="es">Ingeniería y Universidad</journal-title>
</journal-title-group>
<issn pub-type="ppub">0123-2126</issn>
<issn pub-type="epub">2011-2769</issn>
<publisher>
<publisher-name>Pontificia Universidad Javeriana</publisher-name>
<publisher-loc>
<country>Colombia</country>
<email>reving@javeriana.edu.co</email>
</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="art-access-id" specific-use="pmc">7062877005</article-id>
<article-id pub-id-type="doi">https://doi.org/10.11144/Javeriana.iued30.gcvr</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Artículos</subject>
</subj-group>
</article-categories>
<title-group>
<article-title xml:lang="en"><bold>Growth of <italic>Chlorella vulgaris</italic> in and removal of organic and
mineral contaminants from vinasse, a byproduct of ethanol production<xref ref-type="fn" rid="fn1">*</xref>
</bold></article-title>
<trans-title-group>
<trans-title xml:lang="es"><bold>Crecimiento de <italic>Chlorella vulgaris</italic> y eliminación de contaminantes
orgánicos y minerales de la vinaza, un subproducto de la producción de etanol</bold></trans-title>
</trans-title-group>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-6698-7846</contrib-id>
<name name-style="western">
<surname>Vinocunga-Pillajo</surname>
<given-names>Reni Danilo</given-names>
</name>
<xref ref-type="corresp" rid="corresp1"><sup>a</sup></xref>
<xref ref-type="aff" rid="aff1"/>
<email>rd.vinocungap@uea.edu.ec</email>
</contrib>
<contrib contrib-type="author" corresp="no">
<contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-0147-0704</contrib-id>
<name name-style="western">
<surname>de Armas Martínez</surname>
<given-names>Ana Celia</given-names>
</name>
<xref ref-type="aff" rid="aff2"/>
</contrib>
<contrib contrib-type="author" corresp="no">
<contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-5741-8959</contrib-id>
<name name-style="western">
<surname>González Suárez</surname>
<given-names>Erenio</given-names>
</name>
<xref ref-type="aff" rid="aff3"/>
</contrib>
<contrib contrib-type="author" corresp="no">
<contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-2698-4621</contrib-id>
<name name-style="western">
<surname>Kafarov</surname>
<given-names>Viatcheslav V</given-names>
</name>
<xref ref-type="aff" rid="aff4"/>
</contrib>
<contrib contrib-type="author" corresp="no">
<contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-0515-6720</contrib-id>
<name name-style="western">
<surname>Guardado Yordi</surname>
<given-names>Estela</given-names>
</name>
<xref ref-type="aff" rid="aff5"/>
</contrib>
<contrib contrib-type="author" corresp="no">
<contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-3978-7982</contrib-id>
<name name-style="western">
<surname>Pérez Martínez</surname>
<given-names>Amaury</given-names>
</name>
<xref ref-type="aff" rid="aff6"/>
</contrib>
</contrib-group>
<aff id="aff1">
<institution content-type="original">Universidad Estatal Amazónica</institution>
<institution content-type="orgname">Universidad Estatal Amazónica</institution>
<country country="EC">Ecuador</country>
</aff>
<aff id="aff2">
<institution content-type="original">Empresa de Bebidas y Licores</institution>
<institution content-type="orgname">Empresa de Bebidas y Licores</institution>
<country country="CU">Cuba</country>
</aff>
<aff id="aff3">
<institution content-type="original">Universidad Central “Martha Abreu“ de las Villas</institution>
<institution content-type="orgname">Universidad Central “Martha Abreu“ de las Villas</institution>
<country country="CU">Cuba</country>
</aff>
<aff id="aff4">
<institution content-type="original">Universidad Industrial de Santander</institution>
<institution content-type="orgname">Universidad Industrial de Santander</institution>
<country country="CO">Colombia</country>
</aff>
<aff id="aff5">
<institution content-type="original">Universidad Estatal Amazónica</institution>
<institution content-type="orgname">Universidad Estatal Amazónica</institution>
<country country="EC">Ecuador</country>
</aff>
<aff id="aff6">
<institution content-type="original">Universidad Estatal Amazónica</institution>
<institution content-type="orgname">Universidad Estatal Amazónica</institution>
<country country="EC">Ecuador</country>
</aff>
<author-notes>
<corresp id="corresp1">
<email>
<sup>a</sup>Corresponding author. E-mail: rd.vinocungap@uea.edu.ec</email>
</corresp>
</author-notes>
<pub-date pub-type="epub-ppub">
<season>January-December</season>
<year>2026</year>
</pub-date>
<volume>30</volume>
<history>
<date date-type="received" publication-format="dd mes yyyy">
<day>17</day>
<month>11</month>
<year>2025</year>
</date>
<date date-type="accepted" publication-format="dd mes yyyy">
<day>10</day>
<month>06</month>
<year>2026</year>
</date>
<date date-type="pub" publication-format="dd mes yyyy">
<day>06</day>
<month>07</month>
<year>2026</year>
</date>
</history>
<permissions>
<ali:free_to_read/>
<license xlink:href="https://creativecommons.org/licenses/by-nc/4.0/">
<ali:license_ref>https://creativecommons.org/licenses/by-nc/4.0/</ali:license_ref>
<license-p>Esta obra está bajo una Licencia Creative Commons Atribución-NoComercial 4.0 Internacional.</license-p>
</license>
</permissions>
<abstract xml:lang="en">
<title>Abstract</title>
<p><bold>Objective:</bold> The aim of this study was to evaluate the growth of <italic>Chlorella vulgaris</italic> in vinasse from ethanol production and digestate from biogas generation and its efficiency in removing organic and mineral contaminants from these byproducts. <bold>Materials and Methods:</bold> Two liquid substrates—vinasse and digestate—were used at concentrations of 50% and 100%. Cultures were maintained under conditions of controlled aeration, light, and temperature. A Plackett-Burman design and a full factorial 2² design were used to identify significant variables. The cell density, chlorophyll content, dry biomass, and the removal of chemical oxygen demand (COD), five-day biochemical oxygen demand (BOD₅), potassium, calcium, and magnesium were determined. <bold>Results and Discussion:</bold> Vinasse supported higher microalgal growth, yielding 4.42 g/L of biomass and removal of 61.5% COD and 36.9% BOD₅. In contrast, the depuration efficiency in the digestate was lower because of nutritional limitations. The highest removal fraction corresponded to potassium (0.85325 mg/L), whereas calcium and magnesium were partially removed, which was likely related to surface adsorption. <bold>Conclusions:</bold>
<italic>Chlorella vulgaris</italic> cultivated in distillery vinasse exhibited high potential for the purification of agro-industrial effluents and biomass generation. This process represents a sustainable alternative for integrating bioremediation and biotechnological production within circular bioeconomy systems.</p>
</abstract>
<trans-abstract xml:lang="es">
<title>Resumen</title>
<p><bold>Objetivo:</bold> evaluar el crecimiento y la eficiencia de remoción de contaminantes orgánicos y minerales por la microalga <italic>Chlorella vulgaris</italic> cultivada en vinazas de la producción de etanol y en digestato residual de la producción de biogás. <bold>Materiales y métodos:</bold> se emplearon dos sustratos líquidos, vinaza y digestato, diluidos al 50 % y 100 %. Los cultivos se realizaron bajo condiciones controladas de aireación, luz y temperatura, aplicando un diseño experimental Plackett-Burman y un factorial completo 2² para identificar variables significativas. Se determinaron la densidad celular, clorofila, biomasa seca y la remoción de DQO, DBO₅, K, Ca y Mg. <bold>Resultados y discusión:</bold> la vinaza favoreció un mayor crecimiento microalgal, con biomasa de 4,42 g/L y reducciones de DQO y DBO₅ de 61,5 % y 36,9 %, respectivamente. En contraste, se verificó menor depuración del digestato por limitaciones nutricionales. La mayor fracción removida correspondió al potasio (0,85325 mg/L), mientras que el calcio y magnesio presentaron remociones parciales asociadas a adsorción superficial. <bold>Conclusiones:</bold> la <italic>Chlorella vulgaris</italic> cultivada en vinaza de destilería evidenció un alto potencial para la depuración de efluentes agroindustriales y la generación de biomasa, constituyendo una alternativa sostenible para integrar procesos de biorremediación y producción biotecnológica.</p>
</trans-abstract>
<kwd-group xml:lang="en">
<title>Keywords</title>
<kwd>
<italic>Chlorella vulgaris</italic>
</kwd>
<kwd>Vinasse</kwd>
<kwd>Digestate</kwd>
<kwd>Biomass</kwd>
<kwd>Depuration</kwd>
</kwd-group>
<kwd-group xml:lang="es">
<title>Palabras clave</title>
<kwd>
<italic>Chlorella vulgaris</italic> vinaza</kwd>
<kwd>digestato</kwd>
<kwd>biomasa</kwd>
<kwd>depuración</kwd>
</kwd-group>
<counts>
<fig-count count="4"/>
<table-count count="8"/>
<equation-count count="4"/>
<ref-count count="43"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>How to cite this
article</meta-name>
<meta-value> R D Vinocunga-Pillajo, A C de Armas Martínez, E González Suárez, V V
Kafarov, E Guardado Yordi, A Pérez Martínez, “Growth of <italic>Chlorella
vulgaris</italic> in and removal of organic and mineral contaminants from vinasse, a
byproduct of ethanol production” Ing. Univ. vol. 30, 2026. <ext-link ext-link-type="uri" xlink:href="https://doi.org/10.11144/Javeriana.iued30.gcvr">https://doi.org/10.11144/Javeriana.iued30.gcvr</ext-link>
</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec sec-type="intro">
<title><bold>Introduction</bold></title>
<p>Microalgae have received increasing attention because of their ability to fix CO₂, remove nutrients from wastewater and generate biomass of industrial value [<xref ref-type="bibr" rid="ref1">1</xref>]. They are a heterogeneous group of photosynthetic microorganisms capable of growing in marine, fresh, brackish, residual and edaphic environments under a wide range of temperatures, pH values and nutrient availability [<xref ref-type="bibr" rid="ref2">2</xref>].</p>
<p>The chemical composition of microalgae is characterized by the presence of lipids (7-23%), carbohydrates (5-23%) and proteins (6-52%) [<xref ref-type="bibr" rid="ref3">3</xref>], in addition to mineral salts, vitamins and amino acids. These biomolecules make microalgae a versatile resource with applications in food, bioenergy and high value-added compounds [<xref ref-type="bibr" rid="ref4">4</xref>]. Biotechnological advances have promoted its use in the cosmetic, pharmaceutical, agricultural, and aquaculture industries and in bioremediation processes [<xref ref-type="bibr" rid="ref5">5</xref>]. Moreover, algal biomass has historically been used as a fertilizer and as food for both humans and animals [<xref ref-type="bibr" rid="ref6">6</xref>].</p>
<p>In the context of the environment, vinasse is one of the most important types of liquid waste produced in the sugar and biofuel industry. It is estimated that for each liter of ethanol produced, between 10 and 15 liters of vinasse are generated. Vinasse is characterized by its high organic load, expressed as chemical oxygen demand (COD &gt; 40 000 mg/L), and a high mineral content [<xref ref-type="bibr" rid="ref7">7</xref>, <xref ref-type="bibr" rid="ref8">8</xref>]. Its untreated discharge results in serious impacts on water bodies, such as decreased dissolved oxygen and eutrophication, and on aquatic biodiversity. In this context, the recovery of vinasse by growing microalgae is proposed as an alternative to reduce environmental impacts and simultaneously generate biomass with biotechnological potential.</p>
<p>Among microalgae, <italic>Chlorella vulgaris</italic> is notable for its rapid growth and high efficiency in the removal of nutrients, which makes it a model organism for integrating purification processes and the production of bioactive compounds [<xref ref-type="bibr" rid="ref9">9</xref>]. Recent studies have reported that the modulation of parameters such as pH and mineral availability can optimize both the accumulation of biomass and the removal efficiency of pollutants in agro-industrial effluents [<xref ref-type="bibr" rid="ref10">10</xref>, <xref ref-type="bibr" rid="ref11">11</xref>]. This allows the mitigation of pollution and movement toward value chains of the bioeconomy by transforming waste into resources for integrated biorefineries.</p>
<p>In this context, the objective of this study was to evaluate the growth of the microalga <italic>Chlorella vulgaris</italic> in vinasse from ethanol and digestate production and its removal efficiency of organic and mineral contaminants from these byproducts.</p>
</sec>
<sec sec-type="materials|methods">
<title><bold>Materials and Methods</bold></title>
<sec>
<title><bold>Materials</bold></title>
<p>Two liquid substrates were used. The primary vinasse was obtained during ethanol distillation, and digestate was generated during the production of biogas from the same stillage (<xref ref-type="fig" rid="gf1">Figure 1</xref>). Both byproducts were selected because of their high organic load and mineral content, characteristics that make them suitable media for the growth of <italic>Chlorella vulgaris</italic>. In addition, aeration, spectrophotometry, cell counting, and the determination of minerals by atomic absorption spectrophotometry were performed in the laboratory, which allowed the characterization of the behavior of the culture and evaluation of the level of purification achieved.</p>
<p>
<fig id="gf1">
<label><bold>Figure 1</bold></label>
<caption>
<title><bold>Process of generation of vinasse and digestate and
growth of microalgae</bold></title>
</caption>
<alt-text>Figure 1 Process of generation of vinasse and digestate and
growth of microalgae</alt-text>
<graphic xlink:href="7062877005_gf2.png" position="anchor" orientation="portrait"/>
<attrib>Source: Own elaboration.</attrib>
</fig>
</p>
<sec>
<title><bold><italic>Preparation of the Substrate Media</italic></bold></title>
<p>Media preparation involved the filtration of the vinasse and the digestate through a 100 μm mesh to remove suspended solids that could interfere with algal growth. The initial pH was adjusted to 6.5 ± 0.2 using diluted solutions of NaOH to maintain conditions close to neutrality [<xref ref-type="bibr" rid="ref12">12</xref>]. In certain treatments, sterilization was performed in an autoclave at 121 °C for 20 minutes, whereas in others, nonsterile substrates were used, with the purpose of simulating scenarios of the direct application of these byproducts. Finally, both the vinasse and the digestate were diluted with distilled water to concentrations of 50% and 100% [<xref ref-type="bibr" rid="ref13">13</xref>], in accordance with the experimental design.</p>
</sec>
<sec>
<title><bold><italic>Preparation and Inoculation of </italic>Chlorella vulgaris</bold></title>
<p>The inoculum used in the tests was provided by the Center for Fisheries Research, La Habana. It was previously maintained in BG-11 medium under conditions of 25 ± 2 °C, with a photoperiod of 12:12 hours light:dark and continuous aeration of 0.45 L/min [<xref ref-type="bibr" rid="ref14">14</xref>]. For the experiments, a culture in the exponential growth phase was selected, which made it possible to obtain an active inoculum with high adaptation capacity. The initial density used was close to 1×10⁶ cells/mL, and the inoculation volume represented 10% of the total volume of each bioreactor. The cells were cultured in 1000 mL Erlenmeyer flasks, which were used as photobioreactors [<xref ref-type="bibr" rid="ref15">15</xref>]. The transfer was carried out under aseptic conditions to prevent external contamination.</p>
<p>The experimental runs required aeration. Therefore, atmospheric air was introduced by bubbling at a constant flow rate of 0.45 L/min for 8 hours daily using a Neuberger N810FT.18 pump (KNF), considering that cell growth increased with aeration periods greater than 6 h [<xref ref-type="bibr" rid="ref16">16</xref>, <xref ref-type="bibr" rid="ref17">17</xref>]. Once the tests were completed, each experimental combination was evaluated in terms of dry biomass concentration, reductions in COD and five-day biochemical oxygen demand (BOD₅), and decreases in the concentrations of K, Ca and Mg.</p>
</sec>
<sec>
<title><bold><italic>Determination of Physicochemical Parameters</italic></bold></title>
<p>SThe behavior of the culture was evaluated by determining the daily cell count of aliquots taken from the culture and the cell density was calculated using a Neubauer blood chamber. The optical density was measured at 680 nm in a Genesys 20 spectrophotometer [<xref ref-type="bibr" rid="ref18">18</xref>]. Total chlorophyll was estimated from the quantification of chlorophyll a and b, according to the procedure described by Barajas Solano, et al. [<xref ref-type="bibr" rid="ref19">19</xref>], applying the expressions proposed by [<xref ref-type="bibr" rid="ref20">20</xref>] (Equations <xref ref-type="disp-formula" rid="e1">1</xref>, <xref ref-type="disp-formula" rid="e2">2</xref> and <xref ref-type="disp-formula" rid="e3">3</xref>).</p>
<p>
<disp-formula id="e1">
<label>Equation (1)</label>
<graphic xlink:href="7062877005_ee2.png" position="anchor" orientation="portrait"/>
</disp-formula>
</p>
<p>
<disp-formula id="e2">
<label>Equation (2)</label>
<graphic xlink:href="7062877005_ee3.png" position="anchor" orientation="portrait"/>
</disp-formula>
</p>
<p>
<disp-formula id="e3">
<label>Equation (3)</label>
<graphic xlink:href="7062877005_ee4.png" position="anchor" orientation="portrait"/>
</disp-formula>
</p>
<p>Dry biomass was quantified by filtering and drying the samples to a constant weight according to Nayak, et al. [<xref ref-type="bibr" rid="ref20">20</xref>]. In the culture medium, the COD, BOD₅ and the concentration of minerals (K, Ca and Mg) were determined by atomic absorption spectrophotometry, following the procedures described by [<xref ref-type="bibr" rid="ref21">21</xref>-<xref ref-type="bibr" rid="ref23">23</xref>]. The purification efficiency was calculated according to <xref ref-type="disp-formula" rid="e4">Equation 4</xref>.</p>
<p>
<disp-formula id="e4">
<label>Equation (4)</label>
<graphic xlink:href="7062877005_ee5.png" position="anchor" orientation="portrait"/>
</disp-formula>
</p>
</sec>
<sec>
<title><bold><italic>Experimental Design </italic></bold></title>
<p>In the experimental design matrix, the levels of the operating variables were established as indicated in <xref ref-type="table" rid="gt1">Table 1</xref>. The evaluated variables were the type of substrate (X1), culture time (X2), aeration (X3), illumination time (X4) and substrate concentration (X5). These variables were evaluated according to the methods of [<xref ref-type="bibr" rid="ref24">24</xref>-<xref ref-type="bibr" rid="ref27">27</xref>]. The response variables included the production of dry biomass (g/L), the removal of COD and BOD. (%) and the removal of minerals (K, Ca and Mg) (%).</p>
<p>
<table-wrap id="gt1">
<label>Table 1</label>
<caption>
<title><bold>Variables and their levels for the Plackett-Burman design</bold></title>
</caption>
<alt-text>Table 1 Variables and their levels for the Plackett-Burman design</alt-text>
<graphic xlink:href="7062877005_gt2.png" position="anchor" orientation="portrait"/>
<attrib>Source: Own elaboration.</attrib>
</table-wrap>
</p>
<p>The analysis of the factors that influence growth and removal was performed using an adapted fractional Plackett-Burman design, which allowed the simultaneous study of different variables, reducing the number of tests (<xref ref-type="table" rid="gt2">Table 2</xref>). In total, eight experiments were carried out, considering five real variables and two fictitious variables.</p>
<p>The selection of influential factors was based on the magnitude of the main effects estimated in the Plackett-Burman design, considering those with greater absolute values as relevant, which is a criterion used in screening designs for the identification of significant variables [<xref ref-type="bibr" rid="ref28">28</xref>]. Additionally, the consistency of the effects between the response variables and the trends observed in the experimental results was considered, especially in cases with similar values, such as K, Ca and Mg.</p>
<p>
<table-wrap id="gt2">
<label>Table 2</label>
<caption>
<title><bold>Experimental matrix of the Plackett-Burman design for the
growth stage</bold></title>
</caption>
<alt-text>Table 2 Experimental matrix of the Plackett-Burman design for the
growth stage</alt-text>
<graphic xlink:href="7062877005_gt3.png" position="anchor" orientation="portrait"/>
<attrib>Source: Own elaboration.</attrib>
</table-wrap>
</p>
</sec>
</sec>
</sec>
<sec sec-type="results|discussion">
<title><bold>Results and Discussion</bold></title>
<sec>
<title><bold>Growth of <italic>Chlorella vulgaris</italic></bold></title>
<p>The parameters evaluated for vinasse from ethanol distillation and the digestate from biogas production are presented in <xref ref-type="table" rid="gt3">Table 3</xref>. The distillery vinasse had a lower pH and higher concentrations of COD, BOD₅, potassium, calcium and magnesium. In contrast, the digestate had a higher pH and lower values for the other parameters, which allowed us to clearly differentiate the two byproducts as culture media for the growth of <italic>Chlorella vulgaris</italic>.</p>
<p>
<table-wrap id="gt3">
<label>Table 3</label>
<caption>
<title><bold>Parameters measured for distillery
vinasse and digestate from biogas production</bold></title>
</caption>
<alt-text>Table 3 Parameters measured for distillery
vinasse and digestate from biogas production</alt-text>
<graphic xlink:href="7062877005_gt4.png" position="anchor" orientation="portrait"/>
<attrib>Source: Own elaboration.</attrib>
</table-wrap>
</p>
<p>The cell density of <italic>Chlorella vulgaris</italic> reached between 5.0×10⁷ and 8.0×10⁷ cells/mL in distillery vinasse in Experiments E.1, E.2 and E.3, and the cells reached the exponential phase before Day 10 (<xref ref-type="fig" rid="gf2">Figure 2</xref>). This result is attributed to the greater availability of nutrients in this medium, which led to rapid and prolonged growth. In contrast, in assays performed for <italic>Chlorella vulgaris</italic> in digestate (E.4 to E.8), the cell density did not exceed 2.0×10⁷ cells/mL, confirming nutritional limitations [<xref ref-type="bibr" rid="ref29">29</xref>]. The reduction in biomass concentration in E.1 and E.3 after the stationary phase is related to nutrient depletion and the accumulation of inhibitory metabolites, which is in agreement with findings reported by Candido and Lombardi[<xref ref-type="bibr" rid="ref30">30</xref>].</p>
<p>Comparative analysis revealed that distillery vinasse is a more favorable substrate for the growth of <italic>Chlorella vulgaris</italic> because of its higher carbon and mineral contents, whereas the digestate was less efficient because of the reduced availability of compounds during anaerobic digestion [<xref ref-type="bibr" rid="ref8">8</xref>]. These findings are in agreement with those proposed by [<xref ref-type="bibr" rid="ref31">31</xref>], who reported the potential of ethanol vinasse as a culture medium, although the results differed from those of Quintero Dallos [<xref ref-type="bibr" rid="ref32">32</xref>], who reported better growth of <italic>Chlorella vulgaris</italic> in digestate. These variations can be explained by differences in the chemical composition of the wastes.</p>
<p>
<fig id="gf2">
<label><bold>Figure 2</bold></label>
<caption>
<title><bold>Cell count of <italic>Chlorella
vulgaris</italic> over time</bold></title>
</caption>
<alt-text>Figure 2 Cell count of Chlorella
vulgaris over time</alt-text>
<graphic xlink:href="7062877005_gf3.png" position="anchor" orientation="portrait"/>
<attrib>Source: Own elaboration.</attrib>
</fig>
</p>
<p>The optical density at 680 nm was greatest in cultures grown in distillery vinasse (E.1, E.2 and E.3), reaching 2.5 around Day 12, which indicated a relatively high cell density and good nutrient utilization capacity (<xref ref-type="fig" rid="gf3">Figure 3</xref>). When digestate was used, the increases in cell density were lower and it did not exceed 1.5, confirming a lower availability of assimilable organic compounds. This finding is consistent with that reported by Kuo, et al. [<xref ref-type="bibr" rid="ref18">18</xref>], who reported a direct relationship between optical density and biomass in cultures of <italic>Chlorella vulgaris</italic> in effluents of livestock origin, and with that of Chi, et al. [<xref ref-type="bibr" rid="ref33">33</xref>], who reported that cell accumulation depends on the nutritional quality of the medium used.</p>
<p>
<fig id="gf3">
<label><bold>Figure 3</bold></label>
<caption>
<title><bold>Optical density</bold></title>
</caption>
<alt-text>Figure 3 Optical density</alt-text>
<graphic xlink:href="7062877005_gf4.png" position="anchor" orientation="portrait"/>
<attrib>Source: Own elaboration.</attrib>
</fig>
</p>
<p>The total chlorophyll concentration was greatest in the cultures grown in distillery vinasse (E.1, E.2 and E.3), with concentrations between 23 and 28 mg/mL during Days 6-12 (<xref ref-type="fig" rid="gf4">Figure 4</xref>). These results revealed an increase in photosynthetic activity and biomass accumulation. When digestate was used, the chlorophyll concentrations were lower and did not exceed 15 mg/mL, confirming limitations in the availability of nutrients for the synthesis of pigments. This behavior is similar to that described by Barajas Solano, et al. [<xref ref-type="bibr" rid="ref19">19</xref>], who reported that the concentration of chlorophyll is directly related to the growth of <italic>Chlorella vulgaris</italic> in culture systems. In addition, Nayak, et al. [<xref ref-type="bibr" rid="ref20">20</xref>] reported that the variation in chlorophyll a and b depends on the nutritional balance of the medium, which explains the differences observed between the two substrates.</p>
<p>
<fig id="gf4">
<label><bold>Figure 4</bold></label>
<caption>
<title><bold> Total chlorophyll</bold></title>
</caption>
<alt-text>Figure 4  Total chlorophyll</alt-text>
<graphic xlink:href="7062877005_gf5.png" position="anchor" orientation="portrait"/>
<attrib>Source: Own elaboration.</attrib>
</fig>
</p>
<p>Distillery vinasse favored the highest growth of <italic>Chlorella vulgaris,</italic> with productivities of 4.34 and 3.99 g/L in Experiments 1 and 3, respectively, whereas in the digestate, the values did not exceed 1 g/L (<xref ref-type="table" rid="gt4">Table 4</xref>). These values should be interpreted as apparent dry biomass because the quantification was performed by filtration, a procedure in which inorganic residues present in the culture medium may also be retained. Consequently, the dry mass obtained can overestimate the real organic fraction of the biomass. For a more accurate estimate, determining the ash content by calcination and subtracting that fraction from the dry biomass value is recommended. In parallel, the removal of contaminants reached higher percentages in distillery vinasse, indicating that the reduction in COD was greater than 40% compared with less than 20% in the digestate.</p>
<p>This behavior is attributed to the greater availability of carbon and nutrients in the distillery vinasse, which are favorable conditions for cell growth and purification. The initial composition of carbon and phosphorus in the effluent determines the efficiency of the process, with removal rates of up to 84% for COD and 57% for phosphorus in microalgae systems under optimized conditions [<xref ref-type="bibr" rid="ref34">34</xref>]. Similarly, Zhou, et al. [<xref ref-type="bibr" rid="ref35">35</xref>] reported that the ability of <italic>Chlorella vulgaris</italic> to remove nitrogen and phosphorus depends on carbon supplementation, and the organism reached removal efficiencies greater than 80% when glucose was added to digested residual medium. A comparison of the results of the experiments performed with vinasse revealed that aeration modified the response of the system. In particular, the behavior differed between Experiment 5 and other treatments with vinasse. This variation is associated with a shorter culture time and the absence of aeration, conditions that limit biomass production and removal efficiency of contaminants.</p>
<p>
<table-wrap id="gt4">
<label>Table 4</label>
<caption>
<title><bold>Plackett-Burman experimental matrix and results</bold></title>
</caption>
<alt-text>Table 4 Plackett-Burman experimental matrix and results</alt-text>
<graphic xlink:href="7062877005_gt5.png" position="anchor" orientation="portrait"/>
<attrib>Source: Own elaboration.</attrib>
<table-wrap-foot>
<fn-group>
<fn id="fn5" fn-type="other">
<label>*</label>
<p>Rem: Removal</p>
</fn>
</fn-group>
</table-wrap-foot>
</table-wrap>
</p>
<p>The coefficients of the Plackett-Burman design, where the type of vinasse (E1) and aeration (E3) had positive effects on dry biomass content, whereas Ef1 had a negative effect are shown in <xref ref-type="table" rid="gt5">Table 5</xref>. With respect to the removal of COD and BOD₅, the variables time (E2) and vinasse concentration (E5) had the greatest effects, which indicated their direct influence on the purification processes. With respect to potassium, time had a favorable effect, whereas light (E4) and some interactions were unfavorable. For calcium and magnesium, minor effects associated with time and combinations of factors were identified. These findings reveal that the availability of nutrients and oxygen determines the performance of <italic>Chlorella vulgaris </italic>[<xref ref-type="bibr" rid="ref36">36</xref>]. A study by Melikoglu [<xref ref-type="bibr" rid="ref37">37</xref>] reported greater than 90% removal of nitrogen and phosphorus in systems with aqueous phases of treated sludge.</p>
<p>
<table-wrap id="gt5">
<label>Table 5</label>
<caption>
<title><bold>Values of the calculated coefficients of the Plackett-Burman
design</bold></title>
</caption>
<alt-text>Table 5 Values of the calculated coefficients of the Plackett-Burman
design</alt-text>
<graphic xlink:href="7062877005_gt6.png" position="anchor" orientation="portrait"/>
<attrib>Source: Own elaboration.</attrib>
</table-wrap>
</p>
<p>Regarding the standard error, which is determined from the coefficients of the fictitious variables, and the significance of the coefficients, which is determined by comparing the calculated and tabulated values obtained from the Student’s (t) test, the significant variables were identified for each parameter at a significance level [not significant (NS)] of 95 and 80% probability, respectively (<xref ref-type="table" rid="gt6">Table 6</xref>). Few variables were significant, indicating the simplicity of the system and the strong dependence of <italic>Chlorella vulgaris</italic> on specific conditions.</p>
<p>
<table-wrap id="gt6">
<label>Table 6</label>
<caption>
<title><bold>Significant variables for each final parameter</bold></title>
</caption>
<alt-text>Table 6 Significant variables for each final parameter</alt-text>
<graphic xlink:href="7062877005_gt7.png" position="anchor" orientation="portrait"/>
<attrib>Source:
Own elaboration.</attrib>
</table-wrap>
</p>
<p>The results revealed that a maximum of two significant variables affected the final values, and only time influenced the removal of calcium. This led to the implementation of a 2² full factorial design, which is recommended in the literature [<xref ref-type="bibr" rid="ref38">38</xref>], to analyze the interactions between the factors identified in <xref ref-type="table" rid="gt6">Table 6</xref>. The removal of magnesium was discarded because of its low significance. The optimal values and the models obtained are shown in <xref ref-type="table" rid="gt7">Table 7</xref>. Aeration and the type of vinasse were identified as determining factors for dry biomass content (4.42 g/L), whereas the vinasse concentration and time were associated with the removal of COD (61.5%) and BOD₅ (36.9%). In the case of potassium, a maximum removal of 85.3% was reached, with light and time as the influencing variables, indicating the sensitivity of the process to culture conditions. These findings support the usefulness of the 2² factorial design to optimize both productivity and depuration, in agreement with recent reports that highlight the ability of <italic>Chlorella vulgaris</italic> to integrate biomass production and nutrient removal in agroindustrial systems [<xref ref-type="bibr" rid="ref37">37</xref>].</p>
<p>
<table-wrap id="gt7">
<label>Table 7</label>
<caption>
<title><bold>Results of
the 2<sup>2</sup> experimental design</bold></title>
</caption>
<alt-text>Table 7 Results of
the 22 experimental design</alt-text>
<graphic xlink:href="7062877005_gt8.png" position="anchor" orientation="portrait"/>
<attrib>Source:
Own elaboration.</attrib>
</table-wrap>
</p>
<p>The correlation between the physicochemical parameters of the vinasse and the growth of <italic>Chlorella vulgaris</italic> reveals underlying mechanisms that explain the observed differences. The acidic pH of distillery vinasse (4.67) favored the solubility of essential minerals such as potassium, calcium and magnesium, a condition that facilitated their assimilation and resulted in higher values of cell density, chlorophyll content and biomass concentration. In contrast, the pH of digestate closest to neutrality (6.07) was accompanied by lower mineral concentrations, limiting growth and reducing productivity. Jui, et al. [<xref ref-type="bibr" rid="ref11">11</xref>] reported that the interaction between pH and nutrient availability regulates photosynthetic efficiency and biomass accumulation in microalgae through its direct effect on ionic absorption and enzymatic stability. These results indicate that pH modulation together with mineral supplementation improves purification and productivity in systems based on residual vinasse.</p>
<p>The removal efficiencies observed in the experiments performed with vinasse indicated a high capacity of <italic>Chlorella vulgaris</italic> to reduce the organic load and the contents of some of the mineral ions present in the effluent. The values of 0.61505 for COD and 0.3690 for BOD₅ indicated a higher purification compared with 36% for the biodegradable compounds, whereas the highest fraction removed was that of K (0.85325), indicating the efficient use of this nutrient in metabolism (<xref ref-type="table" rid="gt8">Table 8</xref>). In contrast, Ca (0.2836) and Mg (0.4476) were partially removed, possibly because of surface adsorption and chemical precipitation rather than biological incorporation. These results are in agreement with those described by Zhou and Broodbank [<xref ref-type="bibr" rid="ref39">39</xref>] and Yu, et al. [<xref ref-type="bibr" rid="ref40">40</xref>], who reported the ability of green microalgae to remove organic matter and fix divalent cations to functional groups on their cell walls.</p>
<p>
<table-wrap id="gt8">
<label>Table 8</label>
<caption>
<title><bold>Fraction of
organic matter and mineral ions removed by <italic>Chlorella
vulgaris</italic> in vinasse and digestate</bold></title>
</caption>
<alt-text>Table 8 Fraction of
organic matter and mineral ions removed by Chlorella
vulgaris in vinasse and digestate</alt-text>
<graphic xlink:href="7062877005_gt9.png" position="anchor" orientation="portrait"/>
<attrib>Source:
Own elaboration.</attrib>
</table-wrap>
</p>
<p>Lower removal fractions were obtained in experiments performed with digestate, with values of 0.1726 for COD and 0.1035 for BOD₅, indicating limited purification of organic compounds, whereas potassium (0.0109), calcium (0.0854) and magnesium (0.1006) exhibited little mineral assimilation (<xref ref-type="table" rid="gt8">Table 8</xref>). This behavior is attributed to a lower availability of usable carbon, the presence of inhibitors, and high turbidity that reduces the photosynthetic efficiency. Studies by Wu, et al. [<xref ref-type="bibr" rid="ref41">41</xref>] and Liu, et al. [<xref ref-type="bibr" rid="ref42">42</xref>] reported that light intensity, the proportion of nutrients and the ionic balance strongly influence the productivity and purification capacity of <italic>Chlorella vulgaris</italic>. Thus, the results confirm that vinasse is a more favorable medium than digestate for promoting microalgal growth and the removal of organic and mineral contaminants, which is consistent with the observations of Bartoli, et al. [<xref ref-type="bibr" rid="ref43">43</xref>] on the dependence of biological yield on the physicochemical conditions of the crop.</p>
</sec>
</sec>
<sec sec-type="conclusions">
<title><bold>Conclusions</bold></title>
<p>For cultures grown in distillery vinasse, higher values of cell density, chlorophyll content and biomass concentration were reached, accompanied by significant reductions in COD, BOD₅ and minerals, whereas for cultures grown in the digestate, limitations associated with lower nutrient availability were observed. These results allowed us to identify the type of substrate, along with variables such as time and concentration, as decisive factors in the performance of the culture. In addition, the application of experimental designs such as Plackett-Burman and full factorial 2² was effective for establishing interactions between variables and defining conditions that simultaneously increase biomass production and clearance. In this context, the use of microalgae in agroindustrial effluent treatment systems is projected to be a sustainable strategy with potential application in biorefineries.</p>
</sec>
</body>
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