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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mar. Sci.</journal-id>
<journal-title>Frontiers in Marine Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mar. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-7745</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmars.2022.877177</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Marine Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Highly Efficient Water-Based Extraction of Biliprotein R-Phycoerythrin From Marine the Red-Macroalga <italic>Sarcopeltis skottsbergii</italic> by Ultrasound and High-Pressure Homogenization Methods</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Castro-Varela</surname><given-names>Pablo</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="author-notes" rid="fn001"><sup>*</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/1658882"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Celis-Pla</surname><given-names>Paula S.M.</given-names>
</name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/217888"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Figueroa</surname><given-names>Felix L.</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/203644"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Rubilar</surname><given-names>Monica</given-names>
</name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Institute of Blue Biotechnology and Development (IBYDA), Experimental Centre Grice Hutchinson, University of Malaga</institution>, <addr-line>Malaga</addr-line>, <country>Spain</country></aff>
<aff id="aff2"><sup>2</sup><institution>Doctorate in Sciences Engineering With Specialization in Bioprocesses, Faculty of Engineering and Sciences, University of La Frontera</institution>, <addr-line>Temuco</addr-line>, <country>Chile</country></aff>
<aff id="aff3"><sup>3</sup><institution>Laboratory of Coastal Environmental Research, Center of Advanced Studies/HUB Ambiental, University of Playa Ancha</institution>, <addr-line>Vi&#xf1;a del Mar</addr-line>, <country>Chile</country></aff>
<aff id="aff4"><sup>4</sup><institution>Department of Chemical Engineering, Faculty of Engineering and Sciences, University of La Frontera</institution>, <addr-line>Temuco</addr-line>, <country>Chile</country></aff>
<author-notes>
<fn fn-type="edited-by">
<p>Edited by: Maja Berden Zrimec, AlgEn, algal technology centre, Slovenia</p>
</fn>
<fn fn-type="edited-by">
<p>Reviewed by: Leonel Pereira, University of Coimbra, Portugal; Tonmoy Ghosh, Indian Institute of Technology Indore, India</p>
</fn>
<fn fn-type="corresp" id="fn001">
<p>*Correspondence: Pablo Castro-Varela, <email xlink:href="mailto:pablo.castro@uma.es">pablo.castro@uma.es</email>
</p>
</fn>
<fn fn-type="other" id="fn002">
<p>This article was submitted to Marine Biotechnology and Bioproducts, a section of the journal Frontiers in Marine Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>16</day>
<month>06</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>9</volume>
<elocation-id>877177</elocation-id>
<history>
<date date-type="received">
<day>16</day>
<month>02</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>19</day>
<month>05</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Castro-Varela, Celis-Pla, Figueroa and Rubilar</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Castro-Varela, Celis-Pla, Figueroa and Rubilar</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p><italic>Sarcopeltis skottsbergii</italic> is an endemic species of the southern region of South America, with R-phycoerythrin (R-PE) as an accessory photosynthetic pigment. The production of <italic>S. skottsbergii</italic> is around twenty thousand tons of dry alga per year. The evaluation of (R-PE) in a biorefinery model is still incipient in the algal biotechnology area and will be used in the food, pharmaceutical, cosmeceutical, and nutraceutical industries. This work evaluated the cell disruption and separation processes by using two green technologies, ultrasound-assisted extraction (UAE) and high-pressure homogenization (HPH), to obtain an R-phycoerythrin enriched extract from <italic>S. skottsbergii</italic>. Two-levels three-factor central composite design (CCD) and response surface methodology (RSM) were carried out to optimize the extraction conditions, including the factors for UAE (time, amplitude, and solvent) and HPH (Pressure, number of passes, and solvent). Additionally, a second-order polynomial fit was performed to fit the experimental data by the green method. HPH method was the most efficient extraction method under the conditions obtained of 100-400 MPa pressure power, 2-3 number of passes, and distilled water as solvent. Furthermore, the experimental extraction yields ranged from 4.4-5.7 mg of PE g<sup>-1</sup> of dry biomass under the optimal extraction conditions (400 MPa; 2 passes), which agreed with the predictive yield of 4.6-5.5 mg g<sup>-1</sup> DW. The ultrafiltration membrane used for the separation process for both methods exhibited a rejection of R-phycoerythrin concentrated at 30 KDa. Furthermore, R-phycoerythrin showed a positive correlation between the antioxidant capacity (ORAC) in the best-selected extractions. After the extraction, the same pattern was observed in Chlorophyll <italic>a</italic> and total carotenoids with DPPH. Thus, it was an attractive non-aggressive extraction alternative with biological activity of interest for formulating biotechnological products for the food industry is suggested.</p>
</abstract>
<kwd-group>
<kwd>R-phycoerythrin</kwd>
<kwd>Sarcopeltis skottsbergii</kwd>
<kwd>ultrasound</kwd>
<kwd><italic>high-pressure homogenization</italic>
</kwd>
<kwd>red algae</kwd>
</kwd-group>
<counts>
<fig-count count="5"/>
<table-count count="4"/>
<equation-count count="12"/>
<ref-count count="72"/>
<page-count count="14"/>
<word-count count="8379"/>
</counts>
</article-meta>
</front>
<body>
<sec id="s1" sec-type="intro">
<title>Introduction</title>
<p>The phycobiliproteins are water-soluble proteins and pigments found in the cytoplasm or the stroma of the chloroplast (<xref ref-type="bibr" rid="B27">Glazer et&#xa0;al., 1976</xref>; <xref ref-type="bibr" rid="B49">Pagels et&#xa0;al., 2019</xref>). Red micro and macroalgae, Cyanobacteria, and Cryptophytes are the only sources of reddish-red pigment, R-phycoerythrin (R-PE), and their primary function is to trap light energy between 495 and 650 nm wavelengths and transfer it to chlorophyll <italic>a</italic> of the photosynthetic reaction center of Photosystem II through other biliproteins as phycocyanin and allophycocyanin (<xref ref-type="bibr" rid="B57">Sekar and Chandramohan, 2008</xref>; <xref ref-type="bibr" rid="B15">Castro-Varela et&#xa0;al., 2021</xref>; <xref ref-type="bibr" rid="B56">Roy and Pabbi, 2022</xref>). R-PE is an oligomeric protein of 240 kDa with three subunits &#x3b1; (about 16 kDa), &#x3b2; (about 21 kDa), and &#x3b3; (about 39 kDa), and they are bound to specific cysteines by thioether bonds (<xref ref-type="bibr" rid="B36">Li et&#xa0;al., 2019</xref>). The phycobiliproteins study mainly focuses on therapeutic applications (as bioactive), i.e., anti-inflammatory, antiviral, hepatoprotective, and anticarcinogenic capacities of R-PE have been reported (<xref ref-type="bibr" rid="B66">Thangam et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B59">Senthilkumar et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B68">Ulagesan et&#xa0;al., 2021</xref>).</p>
<p>The red algae often contain high levels of proteins (<xref ref-type="bibr" rid="B26">Hasan R. and Fao, 2009</xref>; <xref ref-type="bibr" rid="B40">Manivannan et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B24">G&#xf3;mez-Ord&#xf3;&#xf1;ez et&#xa0;al., 2010</xref>), in contrast to the brown algae with lower content (<xref ref-type="bibr" rid="B4">Angell et&#xa0;al., 2016</xref>). In this sense, the nutritional and the biological properties based on the protein coming from the R-PE from the red algae could be used as functional ingredients in several phases of food fortification, such as <italic>Kappaphycus alverezii</italic> (fish cutlet), <italic>Gelidium amansii</italic> (hamburger patties), <italic>Porphyra umbilicalis</italic> (restructured meats) (<xref ref-type="bibr" rid="B39">Mamatha et&#xa0;al., 2007</xref>; <xref ref-type="bibr" rid="B44">Moreira et&#xa0;al., 2010</xref>; <xref ref-type="bibr" rid="B28">Jeon and Choi, 2012</xref>; <xref ref-type="bibr" rid="B35">Le Guillard et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B4">Angell et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B47">Ngamnikom et&#xa0;al., 2017</xref>). The red macroalga <italic>Sarcopeltis skottsbergii</italic> (formerly <italic>Gigartina skottsbergii</italic>), endemic to the southern region of South America (<xref ref-type="bibr" rid="B14">Buschmann et&#xa0;al., 2008</xref>), presents a high content of the R-phycoerythrin, sulfated polysaccharide and mycosporine-like amino acids (MAAs) (<xref ref-type="bibr" rid="B54">Roleda et&#xa0;al., 2008</xref>).</p>
<p>R-PE is located within the phycobilisomes connected to Photosystem II in the chloroplasts; thus, cell disruption is required for the efficient release during the extraction process. There are several available methods for extraction of phycobiliproteins such as osmotic shock (<xref ref-type="bibr" rid="B32">Kawsar et&#xa0;al., 2011</xref>), maceration in the presence of liquid nitrogen in phosphate buffer (<xref ref-type="bibr" rid="B46">Munier et&#xa0;al., 2014</xref>), freeze grinding (<xref ref-type="bibr" rid="B21">Galland-Irmouli et&#xa0;al., 2000</xref>), freezing and thawing (<xref ref-type="bibr" rid="B58">Senthilkumar et&#xa0;al., 2013</xref>), ultrasonication (US) (<xref ref-type="bibr" rid="B35">Le Guillard et&#xa0;al., 2015</xref>) and homogenization (<xref ref-type="bibr" rid="B51">Pereira et&#xa0;al., 2020</xref>). Due to the complexity of structures and properties of bioactive compounds and the structure of the extracted materials, there is no available universal extraction protocol (<xref ref-type="bibr" rid="B18">Ciko et&#xa0;al., 2018</xref>). For this reason, it is essential to carry out extraction studies that allow us to obtain from the biological material high yield and bioactivity (<xref ref-type="bibr" rid="B41">Michalak and Chojnacka, 2014</xref>) by applying advanced extraction techniques (<xref ref-type="bibr" rid="B18">Ciko et&#xa0;al., 2018</xref>).</p>
<p>Therefore, exploring cost-effective extraction and separation methods for R-PE is necessary. Disruption of the rigid cell wall is a critical step required to increase the availability of algal proteins for extraction (<xref ref-type="bibr" rid="B8">Barba et&#xa0;al., 2015</xref>). Recently, extraction technologies, especially those considered green processes such as methods involving extraction with water, have gained attention to exploring marine resources for obtaining functional ingredients.</p>
<p>Ultrasound-Assisted Extraction (UAE) has attracted the attention of researchers for its application in food and allied industries (<xref ref-type="bibr" rid="B41">Michalak and Chojnacka, 2014</xref>; <xref ref-type="bibr" rid="B17">Chemat et&#xa0;al., 2017</xref>) and acts by creating compression and decompression through sound waves at the frequency of 20 kHz. Thus, several mechanisms for UAE action have been identified, including fragmentation, erosion, sonocapillary effect, sonoporation, local shear stress, and destruction-detexturation of plant cell wall matrix (<xref ref-type="bibr" rid="B35">Le Guillard et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B17">Chemat et&#xa0;al., 2017</xref>). An overall effect of these mechanisms results in disruption of cell wall. However, a given mechanism&#x2019;s relative extent of contribution varies with the type of vegetal biomass and process parameters such as amplitude wave or time (<xref ref-type="bibr" rid="B2">Alexandre et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B17">Chemat et&#xa0;al., 2017</xref>). Another modern non-conventional alternative method to recover intracellular components is high-pressure homogenization (HPH), considered one of the greenest technologies, which showed a considerably shorter extraction time and higher yield than other conventional techniques (<xref ref-type="bibr" rid="B18">Ciko et&#xa0;al., 2018</xref>). This method is typically performed by forcing a liquid through a narrow nozzle at high pressure and establishing high shear stress. The use of mild temperatures makes this process especially attractive in extracting thermosensitive bioactive compounds (<xref ref-type="bibr" rid="B2">Alexandre et&#xa0;al., 2017</xref>). The membrane technologies are well suited to use with seaweed as part of a biorefinery process to maximize the valorization of all components within algae and avoiding the presence of heavy metals in the final product (<xref ref-type="bibr" rid="B72">Yaich et&#xa0;al., 2011</xref>). Some researchers have suggested that the combination of extraction technologies and the incorporation of membrane technologies could be used to isolate algal proteins using the same principles of molecular weight cut-offs used in the dairy industry. Ultrafiltration (UF) membranes constitute a physical barrier that retains all compounds bigger than the membrane molecular weight cut-off. UF could then be used to isolate proteins and other macromolecules between 1 and 200 kDa, as it has been validated on an industrial scale (food and feed industry) to generate enriched fractions less than 10, 5, 3 and 1 kDa. UF was used to isolate R-PE protein from macroalgae <italic>Grateloupia turuturu</italic> following cell homogenization, retaining about 100% of the protein without denaturation (<xref ref-type="bibr" rid="B19">Denis et&#xa0;al., 2009</xref>).</p>
<p>In this regard, determining a behavior pattern between R-phycoerythrin and the extraction method, we could consider a new attribute that reinforces the use of green methods for sustainability and development of a bioprocess. In fact, considering that there is no universal extraction protocol that ensures the quality of the structures and properties of the pigments (<xref ref-type="bibr" rid="B37">Liu et&#xa0;al., 2019</xref>). Therefore, it is believed that a specific extraction process must be established for each biological material extracted to obtain extracts with desirable bioactivity and high yield.</p>
<p>Response Surface Methodology (RSM) is a statistical tool used to determine and optimize the optimal experimental conditions to achieve maximum yields with minimum time and resource consumption (<xref ref-type="bibr" rid="B70">Wani et&#xa0;al., 2017</xref>). In this way, this study aimed to optimize the extraction process to obtain crude extracts with a higher yield of phycoerythrin from <italic>S. skottsbergii</italic> using RSM. Two green methods, UAE, and HPH, including the variables for UAE (time, amplitude, and solvent) and HPH (Pressure, number of passes, and solvent), were investigated for their influence on the yield of the extracts. UF technology, antioxidant activity, soluble protein content, and photosynthetic pigments were tested to evaluate the concentration and purity of R-PE in the aqueous extracts.</p>
</sec>
<sec id="s2">
<title>Material and Methods</title>
<sec id="s2_1">
<title>Algal Biomass</title>
<p>Biomass of marine macroalgae, <italic>S. skottsbergii</italic> (Rhodophyta) is distributed in the coast of Chile, from Corral (39&#xb0; 88&#x2019; S) (<xref ref-type="bibr" rid="B71">Westermeyer and Ram&#xed;rez, 1978</xref>) to the Antarctic Peninsula (63&#xb0; 23&#x2019;S) (<xref ref-type="bibr" rid="B11">Bischoff-B&#xe4;smann and Wiencke, 1996</xref>). In this study, the macroalgae were provided from Magallanes Region by the company Gelymar S.A., Puerto Montt, Chile. The biomass was washed with filtered and distilled water for the removal of sand particles, epiphytes, and other undesirable materials before transporting under cold conditions to the University of La Frontera, Temuco, Chile. Biomass was lyophilized (Biobase BK-FD18PT) for 48h, and substrate samples were carefully milled with a grinder machine (Sindelen Mol165IN, China) until particle size was less than sieve screen number 18 (1&#xa0;mm openings). The samples were sieved using a Ro-Tap testing sieve shaker (model RX-29-10, W.S. Tyler, Mentor, OH) through a set of sieves (ASTM E11:95). The average particle diameter (dp = 0.70&#xa0;mm) was determined using Equation 1 of the standard method S319.3 (<xref ref-type="bibr" rid="B6">ASAE S319.3 Method of Determining and Expressing Fineness of Feed Materials by Sieving</xref>).<disp-formula>
<label>(Eq.1)</label>
<mml:math display="block" id="M1">
<mml:mrow>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mi>l</mml:mi>
<mml:mi>o</mml:mi>
<mml:msup>
<mml:mi>g</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mfrac>
<mml:mrow>
<mml:mrow>
<mml:mo>[</mml:mo> <mml:mrow>
<mml:mstyle displaystyle="true">
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
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<mml:mo>&#x2212;</mml:mo>
</mml:mrow>
</mml:msubsup>
<mml:mrow>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>l</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>g</mml:mi>
<mml:msub>
<mml:mover accent="true">
<mml:mi>d</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mstyle>
</mml:mrow> <mml:mo>]</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mo>&#x2212;</mml:mo>
</mml:mrow>
</mml:msubsup>
<mml:mrow>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:mstyle>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>
<inline-formula>
<mml:math display="inline" id="im1">
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi>d</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> <sub>(</sub> mm) is the geometric mean diameter of particles on <italic>i</italic>th sieve, or (<italic>d<sub>i</sub>
</italic> &#xd7; <italic>d<sub>i</sub>
</italic><sub>+1</sub>)<sup>1/2</sup> where di is the nominal sieve aperture size of the <italic>i</italic>th sieve and <italic>d<sub>i</sub>
</italic><sub>+1</sub> is nominal sieve aperture size in next larger than <italic>i</italic>th sieve <italic>w<sub>i</sub>
</italic> is the mass of particles with an average diameter of <inline-formula>
<mml:math display="inline" id="im2">
<mml:mrow>
<mml:msub>
<mml:mover accent="true">
<mml:mi>d</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. The biomass was stored at -18 &#xb1; 2&#xb0;C, and desired quantity of biomass was taken out as and when required for the experimentation.</p>
</sec>
<sec id="s2_2">
<title>Experimental Design</title>
<p>The RSM considering a central composite design (CCD), was employed for the evaluation of the variable&#x2019;s effect on the phycoerythrin yield extracted with ultrasound (UAE) and high-pressure homogenization (HPH). For the case of UAE method, amplitude percentage (30 to 90%) and time (10 to 30&#xa0;min) by the solvent (water or phosphate buffer) were tested. For the HPH methods, factors include the pressure (100 to 500 MPa) and the passes (1 to 3) by the solvent (water or phosphate buffer). The experiments were designed according to a 22 factorial and design with three central points for both methods. The range of independent variables, the responding levels, and the results of the complete design composed of 22 experimental runs performed in random order is listed in <xref ref-type="table" rid="T1"><bold>Tables&#xa0;1</bold></xref>, <xref ref-type="table" rid="T2"><bold>2</bold></xref>. All the trials were performed in triplicate. Three-dimensional response surface plots were generated by varying the variables within the experimental region. The goodness of fit of the model was evaluated by analysis of variance. The results were analyzed by using Design-Expert version 12.0 (Stat-Ease Inc., Minneapolis, USA). The design was fitted to a reduced quadratic model expressed by a polynomial regression equation</p>
<table-wrap id="T1" position="float">
<label>Table&#xa0;1</label>
<caption>
<p>Central composite design for ultrasound-assisted method and yield (YPE) results from response surface method analysis.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Run</th>
<th valign="top" align="center">Amplitude wave (%)</th>
<th valign="top" align="center">Time (min)</th>
<th valign="top" align="center">Solvent for extraction</th>
<th valign="top" align="center">Y<sub>PE</sub> (mg g<sup>-1</sup>)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">1</td>
<td valign="top" align="center">30</td>
<td valign="top" align="center">10</td>
<td valign="top" align="left">Phosphate buffer</td>
<td valign="top" align="center">0.602 &#xb1; 0.02</td>
</tr>
<tr>
<td valign="top" align="left">2</td>
<td valign="top" align="center">90</td>
<td valign="top" align="center">10</td>
<td valign="top" align="left">Phosphate buffer</td>
<td valign="top" align="center">0.689 &#xb1; 0.05</td>
</tr>
<tr>
<td valign="top" align="left">3</td>
<td valign="top" align="center">30</td>
<td valign="top" align="center">30</td>
<td valign="top" align="left">Phosphate buffer</td>
<td valign="top" align="center">0.739 &#xb1; 0.08</td>
</tr>
<tr>
<td valign="top" align="left">4</td>
<td valign="top" align="center">90</td>
<td valign="top" align="center">30</td>
<td valign="top" align="left">Phosphate buffer</td>
<td valign="top" align="center">0.658 &#xb1; 0.09</td>
</tr>
<tr>
<td valign="top" align="left">5</td>
<td valign="top" align="center">30</td>
<td valign="top" align="center">20</td>
<td valign="top" align="left">Phosphate buffer</td>
<td valign="top" align="center">0.722 &#xb1; 0.10</td>
</tr>
<tr>
<td valign="top" align="left">6</td>
<td valign="top" align="center">90</td>
<td valign="top" align="center">20</td>
<td valign="top" align="left">Phosphate buffer</td>
<td valign="top" align="center">0.646 &#xb1; 0.09</td>
</tr>
<tr>
<td valign="top" align="left">7</td>
<td valign="top" align="center">60</td>
<td valign="top" align="center">10</td>
<td valign="top" align="left">Phosphate buffer</td>
<td valign="top" align="center">0.886 &#xb1; 0.08</td>
</tr>
<tr>
<td valign="top" align="left">8</td>
<td valign="top" align="center">60</td>
<td valign="top" align="center">30</td>
<td valign="top" align="left">Phosphate buffer</td>
<td valign="top" align="center">0.759 &#xb1; 0.07</td>
</tr>
<tr>
<td valign="top" align="left">9</td>
<td valign="top" align="center">60</td>
<td valign="top" align="center">20</td>
<td valign="top" align="left">Phosphate buffer</td>
<td valign="top" align="center">0.882 &#xb1; 0.12</td>
</tr>
<tr>
<td valign="top" align="left">10</td>
<td valign="top" align="center">60</td>
<td valign="top" align="center">20</td>
<td valign="top" align="left">Phosphate buffer</td>
<td valign="top" align="center">0.835 &#xb1; 0.13</td>
</tr>
<tr>
<td valign="top" align="left">11</td>
<td valign="top" align="center">60</td>
<td valign="top" align="center">20</td>
<td valign="top" align="left">Phosphate buffer</td>
<td valign="top" align="center">0.827 &#xb1; 0.51</td>
</tr>
<tr>
<td valign="top" align="left">12</td>
<td valign="top" align="center">30</td>
<td valign="top" align="center">10</td>
<td valign="top" align="left">Distilled water</td>
<td valign="top" align="center">1.700 &#xb1; 0.01</td>
</tr>
<tr>
<td valign="top" align="left">13</td>
<td valign="top" align="center">90</td>
<td valign="top" align="center">10</td>
<td valign="top" align="left">Distilled water</td>
<td valign="top" align="center">2.256 &#xb1; 0.02</td>
</tr>
<tr>
<td valign="top" align="left">14</td>
<td valign="top" align="center">30</td>
<td valign="top" align="center">30</td>
<td valign="top" align="left">Distilled water</td>
<td valign="top" align="center">1.969 &#xb1; 0.03</td>
</tr>
<tr>
<td valign="top" align="left">15</td>
<td valign="top" align="center">90</td>
<td valign="top" align="center">30</td>
<td valign="top" align="left">Distilled water</td>
<td valign="top" align="center">2.141 &#xb1; 0.09</td>
</tr>
<tr>
<td valign="top" align="left">16</td>
<td valign="top" align="center">30</td>
<td valign="top" align="center">20</td>
<td valign="top" align="left">Distilled water</td>
<td valign="top" align="center">2.076 &#xb1; 0.08</td>
</tr>
<tr>
<td valign="top" align="left">17</td>
<td valign="top" align="center">90</td>
<td valign="top" align="center">20</td>
<td valign="top" align="left">Distilled water</td>
<td valign="top" align="center">2.285 &#xb1; 0.03</td>
</tr>
<tr>
<td valign="top" align="left">18</td>
<td valign="top" align="center">60</td>
<td valign="top" align="center">10</td>
<td valign="top" align="left">Distilled water</td>
<td valign="top" align="center">2.029 &#xb1; 0.01</td>
</tr>
<tr>
<td valign="top" align="left">19</td>
<td valign="top" align="center">60</td>
<td valign="top" align="center">30</td>
<td valign="top" align="left">Distilled water</td>
<td valign="top" align="center">2.291 &#xb1; 0.13</td>
</tr>
<tr>
<td valign="top" align="left">20</td>
<td valign="top" align="center">60</td>
<td valign="top" align="center">20</td>
<td valign="top" align="left">Distilled water</td>
<td valign="top" align="center">2.552 &#xb1; 0.12</td>
</tr>
<tr>
<td valign="top" align="left">21</td>
<td valign="top" align="center">60</td>
<td valign="top" align="center">20</td>
<td valign="top" align="left">Distilled water</td>
<td valign="top" align="center">2.451 &#xb1; 0.14</td>
</tr>
<tr>
<td valign="top" align="left">22</td>
<td valign="top" align="center">60</td>
<td valign="top" align="center">20</td>
<td valign="top" align="left">Distilled water</td>
<td valign="top" align="center">2.685 &#xb1; 0.11</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Different statistical criteria to evaluate the model were considered. Values close to 1 for R<sup>2</sup>, lower than 10 for Covariance, and higher than 4 for Adequate Precision were considered desirable for model acceptance. Adequate precision measures signal to noise ratio related to the contrast in predicted response concerning its associated error. The statistical significance was based on the total error criteria with a confidence level of 95%.</p>
</sec>
<sec id="s2_3">
<title>Extraction Procedure</title>
<p>The procedure followed for R-PE extraction from <italic>S. skottsbergii</italic> is schematized in <xref ref-type="fig" rid="f1"><bold>Figure&#xa0;1</bold></xref>. For all the runs or experiments, freeze-dried biomass of <italic>S. skottsbergii</italic> (5&#xa0;g) was suspended in 500&#xa0;ml of solvent (buffer phosphate at pH=6.5 or distilled water) and homogenized help of a magnetic stirrer at room temperature for 5&#xa0;min. Then, the extraction was carried out by UAE or HPP, according to the experimental design. After extraction, the samples were centrifuged (Eppendorf Centrifuge 5810R, Billerica, EUA) at 4.000 rpm for 10&#xa0;min at 4&#xb0;C and the pellet was discarded. The supernatant was further filtered through a PTFE 0.45 &#x3bc;m membrane (VWR, North America) and analyzed to determine its R-PE purity, protein content, antioxidant activity, chlorophyll, and carotenoid pigments.</p>
<fig id="f1" position="float">
<label>Figure&#xa0;1</label>
<caption>
<p>Summarizing scheme of the procedure for the extraction of R-Phycoerythrin from <italic>S. skotts</italic>. *RSM Optimization.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-877177-g001.tif"/>
</fig>
</sec>
<sec id="s2_4">
<title>Ultrasound-Assisted Extraction (UAE)</title>
<p>The biomass/solvent suspension was placed either in an ultrasonic probe (Sonics VC-505 Vibra Cell Digital Ultrasonic with 3/4&#x201d; (19&#xa0;mm) probe, 500 W, 20 KHz, Newtown, CT, USA) for different periods (10-30&#xa0;min) and amplitude (10-90%). The probe was inserted into the sample container at about 0.5&#xa0;cm from the bottom. After UAE, the sample was immediately cooled in an ice bath to avoid overheating. To ensure a good homogeneity of the sample. After disruption, samples were centrifuged, collected, and analyzed by spectrophotometry at 565 nm (Section 3.3).</p>
</sec>
<sec id="s2_5">
<title>High-Pressure Homogenization Assisted (HPH) Extraction</title>
<p>The biomass/solvent suspension was carried out on high-pressure equipment (Gea Niro Soavi, Homogenizer Panda Plus 2000, Germany) for a different number of passes (1-3) at different pressure (100-500 MPa). The cell suspension was well mixed in the supply tank before disruption to ensure a good homogeneity. After disruption, samples were centrifuged, collected, and analyzed by spectrophotometry at 565 nm (Section 2.3).</p>
</sec>
<sec id="s2_6">
<title>Ultrafiltration Procedure</title>
<p>The extracts with the best phycoerythrin yields from methods A and B were selected to concentrate phycoerythrin using the ultrafiltration stage. Concentrated preparation was carried out following the method proposed by <xref ref-type="bibr" rid="B19">Denis et&#xa0;al. (2009)</xref> with modifications. 500 &#xb5;L of algal extract solution were taken and transferred into Amicon tubes of 30 kDa porosity. They were centrifuged for 20&#xa0;min at 4&#xb0;C. The volumes of the samples (precipitate and permeate) and the phycoerythrin content in both fractions were determined by spectrophotometry at 565 nm (Section 2.3).</p>
</sec>
<sec id="s2_7">
<title>Biochemical Analyses Total Carbon, Hydrogen, Nitrogen, and Sulphur in Biomass</title>
<p>Total carbon (C), hydrogen (H), nitrogen (N), and Sulphur (S) were determined from dry biomass (20 mg) using the total combustion technique used in the LECO TruSppec Micro CHNSO-Elemental Analyzer according to a manual. This technique is based on the complete and instantaneous oxidation of the sample by pure combustion with controlled oxygen at a temperature of up to 1050&#xb0;C (C, H, N, S) and pyrolysis at 1300&#xb0;C (O) for decomposition of O as CO and oxidation to CO<sub>2</sub>. The resulting combustion products, CO<sub>2</sub>, H<sub>2</sub>O, SO<sub>2</sub>, and N<sub>2</sub>, are quantified by a selective IR absorption detector (C, H, S) and TCD (N) differential thermo-conductivity sensor. The result of each element (C, H, N, S) were expressed in % to the weight of the sample.</p>
</sec>
<sec id="s2_8">
<title>Total and Soluble Protein Content</title>
<p>Total protein content was calculated by multiplying the total internal nitrogen content by a factor of 4.59 reported by (<xref ref-type="bibr" rid="B38">Louren&#xe7;o et&#xa0;al., 2002</xref>) for the red algae <italic>S. skottsbergii</italic>. After extraction treatments, the aqueous extract&#x2019;s soluble protein content (PC) is spectroscopically determined (<xref ref-type="bibr" rid="B13">Bradford, 1976</xref>). Briefly, 200 &#xb5;L of Bradford reagent was diluted with 790 &#xb5;L distilled water and mixed with 10 &#xb5;L soluble extracts or bovine serum albumin (BSA, Sigma, MO, USA). The absorbance was read at 730 nm (Biotek Synergy HT) after 5min of incubation at room temperature. Measurements were performed at least in triplicate.</p>
</sec>
<sec id="s2_9">
<title>Photosynthetic Pigments</title>
<p>Chl<italic>a</italic> and total carotenoid concentrations were determined through 15&#xa0;ml aliquots per extraction treatment, using Millipore filters of 0.45 &#x3bc;m. In darkness, the pigment concentration was extracted in 2 mL 100% methanol for 24&#xa0;h at 4&#xb0;C. After centrifugation at 5,000 g for 10&#xa0;min, the absorption was measured by the UV-Vis spectrophotometer Thermo Fisher (Waltham, MA, USA), using the mathematical equation according to (<xref ref-type="bibr" rid="B52">Ritchie, 2008</xref>) for Chl<italic>a</italic> (see Equation 1) and for the total carotenoids, the equations reported <xref ref-type="bibr" rid="B46">Parsons and Strickland, 1963</xref> (see Equation 2). The results were expressed by &#xb5;g mL<sup>-1</sup> of volume of extract.<disp-formula>    <label>&#xa0;&#xa0;(Eq.2)</label>
<mml:math display="block" id="M2">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>l</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>a</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>l</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>a</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mn>11.4711</mml:mn>
<mml:mo>&#x2217;</mml:mo>
<mml:msub>
<mml:mtext>A</mml:mtext>
<mml:mrow>
<mml:mn>664</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mtext>A</mml:mtext>
<mml:mrow>
<mml:mn>750</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo stretchy="false">)</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>&#x2013;</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mn>1.6841</mml:mn>
<mml:mo>&#x2217;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mtext>A</mml:mtext>
<mml:mrow>
<mml:mn>691</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mtext>A</mml:mtext>
<mml:mrow>
<mml:mn>750</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<label>(Eq.3)</label>
<mml:math display="block" id="M3">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>C</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>=</mml:mo>
<mml:mn>10</mml:mn>
<mml:mo>&#x2217;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mrow>
<mml:mn>480</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mrow>
<mml:mn>750</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>The content of the phycobiliproteins pigments in the phosphate buffer and water extract processed was spectrophotometrically determined at 565 nm, 620 nm, and 650 nm using the dichromatic equations (Eq. 4, 5, and 6) reported by (<xref ref-type="bibr" rid="B10">Bennett and Bogobad, 1973</xref>). All the data was normalized against 750 nm. The results were expressed by dry weight of biomass. Triplicate samples were taken from each treatment.<disp-formula>
<label>(Eq.4)</label>
<mml:math display="block" id="M4">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mi>A</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>s</mml:mi>
<mml:mn>620</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mo>[</mml:mo> <mml:mrow>
<mml:mn>0.7</mml:mn>
<mml:mo>&#x2217;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>s</mml:mi>
<mml:mn>650</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>7.38</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow> <mml:mo>]</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<label>(Eq.5)</label>
<mml:math display="block" id="M5">
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mi>A</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>s</mml:mi>
<mml:mn>650</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mo>[</mml:mo> <mml:mrow>
<mml:mn>0.19</mml:mn>
<mml:mo>&#x2217;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>s</mml:mi>
<mml:mn>620</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>5.65</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow> <mml:mo>]</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<label>(Eq.6)</label>
<mml:math display="block" id="M6">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mi>A</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>s</mml:mi>
<mml:mn>565</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mo>[</mml:mo> <mml:mrow>
<mml:mn>2.8</mml:mn>
<mml:mo>&#x2217;</mml:mo>
<mml:mi>R</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow> <mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mn>1.34</mml:mn>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2217;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>C</mml:mi>
<mml:mo stretchy="false">/</mml:mo>
<mml:mn>12.7</mml:mn>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo stretchy="false">]</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>The purity of phycoerythrin (extract purity, EP) in the aqueous extract was defined as the ratio between the absorbance measurements at 565 and 280 nm, following the following equation (<xref ref-type="bibr" rid="B63">Sudhakar et&#xa0;al., 2015</xref>):<disp-formula>
<label>(Eq.7)</label>
<mml:math display="block" id="M7">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>P</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>s</mml:mi>
<mml:mn>565</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mi>b</mml:mi>
<mml:mi>s</mml:mi>
<mml:mn>280</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>The extraction yield of phycoerythrin (mg g<sup>-1</sup> DW) was calculated using the concentration of phycoerythrin (PE, mg ml<sup>-1</sup>), the volume of the extraction solvent (V, ml), and the mass of the dry biomass defined in the following equation (<xref ref-type="bibr" rid="B63">Sudhakar et&#xa0;al., 2015</xref>):<disp-formula>
<label>(Eq.8)</label>
<mml:math display="block" id="M8">
<mml:mrow>
<mml:mi>Y</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>g</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:msup>
<mml:mi>g</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>P</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#x2217;</mml:mo>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
</sec>
<sec id="s2_10">
<title>Antioxidant Capacity (DPPH and ORAC Analyses)</title>
<p>The antioxidant activity DPPH (2,2-diphenyl-1-picrylhydrazyil) assay (i.e., EC<sub>50</sub>) according to (<xref ref-type="bibr" rid="B12">Blois, 1958</xref>) was estimated by reducing the stable free radical DPPH. The aqueous supernatant measurements were used for DPPH analysis; 150 mL of DPPH were added to each extract. This solution of DPPH was prepared in 90% methanol (90MeOH: 10H<sub>2</sub>O) in 20 mL to a concentration of 1.27 mM. The reaction was complete after 30&#xa0;min in a dark room at ~20&#xb0;C and the absorbance was read at 517 nm in a spectrophotometer Thermo Fisher (Waltham, MA, USA). A calibration curve made with DPPH was used to calculate the remaining concentration of DPPH in the reaction mixture after incubation. Values of DPPH were expressed as mg DW mL <sup>-1</sup>. Ascorbic acid was used as a positive control (<xref ref-type="bibr" rid="B16"> Celis-Pl&#xe1; et&#xa0;al., 2014</xref>).</p>
<p>The antioxidant capacity was analyzed in aqueous macroalgae extracts determined by the ORAC method described by (<xref ref-type="bibr" rid="B20">Fukumoto and Mazza, 2000</xref>). The reaction was carried out in 75 mM phosphate buffer (pH 7.4). Sample (100 &#xb5;L) and fluorescein (100 &#xb5;L; 0.082 mM final concentration) solution were placed in the well of the microplate (black 96-well plates; Biotek, Synergy HT, USA). 2,2&#x2019;-Azobis (-amidino propane) dihydrochloride (AAPH) solution (100 &#xb5;L; 0.15 M final concentration) was rapidly added using a multichannel pipette. The plate was immediately placed in the plate reader (Biotek, Synergy HT), and the fluorescence was recorded every minute for 150&#xa0;min at 37&#xb0;C. Excitation and emission filters were 485-P and 520-P, respectively. The plate was automatically agitated prior to each reading. All reaction mixtures were prepared in triplicate and at least three independent runs were performed for each sample. Blank using phosphate buffer instead of the antioxidant solution and calibration solutions using Trolox (0&#x2013;8 mM final concentration) as the antioxidant was also performed in the same run. The area under the fluorescence decay curve (AUC) was calculated using the KC4 v.3.4 software, and finally, the ORAC value was expressed as mg Trolox equivalent mL<sup>-1</sup> substrate (mg TE mL<sup>-1</sup>).</p>
</sec>
<sec id="s2_11">
<title>Statistical Analysis</title>
<p>The interactive effect on the aqueous extracts selected, purity index, protein content, antioxidant activities, and pigments composition among extraction methods were evaluated through ANOVA (<xref ref-type="bibr" rid="B69">Underwood, 1996</xref>). For the ANOVA analysis, two fixed factors were measurements for the solvent extraction: 1) ultrasound-assisted extraction and 2) high pressure-assisted extraction. After significate effects, the interaction was determined with a <italic>posteriori</italic> test by Student Newman Keuls (SNK) (<xref ref-type="bibr" rid="B69">Underwood, 1996</xref>). Homogeneity of variance was evaluated using the Cochran test and visual inspection of the residuals (<xref ref-type="bibr" rid="B69">Underwood, 1996</xref>). In addition, the Pearson coefficient was calculated to determine the correlation pattern between antioxidant activity and photosynthetic pigments extracted by using the different mentioned methods. All analyses were performed using SPSS v.21 (IBM, USA).</p>
<p>The general variation patterns between biochemical variables, antioxidant activity and pigments composition measured in <italic>S. skottsbergii</italic> were explored using a multivariate approach. A Principal Coordinates Analysis (PCA) was performed for this purpose based on Euclidean distance using PERMANOVA+ for the PRIMER 6 package (<xref ref-type="bibr" rid="B3">Anderson et&#xa0;al., 2008</xref>). Such multivariate ordination was used to investigate the variation of the content of biochemical responses concurrently from observing the ordination plot.</p>
</sec>
</sec>
<sec id="s3" sec-type="results">
<title>Results</title>
<sec id="s3_1">
<title>Chemical Assessment</title>
<p>Total carbon (28.38 &#xb1; 0.5) and sulphur contents (5.63 &#xb1; 0.05) were higher than the nitrogen content (5.46 &#xb1; 0.18) (Table S1). The C: N index in <italic>S. skottsbergii.</italic> was 23.85 &#xb1; 0.49.</p>
</sec>
<sec id="s3_2">
<title>Ultrasound-Assisted Extraction Method</title>
<p>The extraction yields of R-PE as a function of the amplitude wave, time, and solvent for extraction (buffer phosphate and distilled water) are shown in <xref ref-type="table" rid="T1"><bold>Table&#xa0;1</bold></xref>. The Y<sub>PE</sub> ranged from 0.6-0.8 mg PE g<sup>-1</sup> DW for buffer phosphate. In comparison, Y<sub>PE</sub> ranged from 1.7-2.6 mg PE g<sup>-1</sup> DW in distilled water (Table S2). The mathematical model represents the extraction yield as a function of the independent variables (amplitude wave and time) in each solvent at the chosen ranges; these models are expressed according to the following equations:<disp-formula>
<label>(Eq.10)</label>
<mml:math display="block" id="M9">
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>u</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo stretchy="false">/</mml:mo>
<mml:mi>b</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>f</mml:mi>
<mml:mi>f</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mi>p</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mn>0.8452</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.1569</mml:mn>
<mml:msubsup>
<mml:mi>X</mml:mi>
<mml:mn>1</mml:mn>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<label>(Eq.11)</label>
<mml:math display="block" id="M10">
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>u</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo stretchy="false">/</mml:mo>
<mml:mi>w</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mn>2.51</mml:mn>
<mml:mo>+</mml:mo>
<mml:mn>0.1562</mml:mn>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.2566</mml:mn>
<mml:msubsup>
<mml:mi>X</mml:mi>
<mml:mn>1</mml:mn>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.2771</mml:mn>
<mml:msubsup>
<mml:mi>X</mml:mi>
<mml:mn>2</mml:mn>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>where X<sub>1</sub> and X<sub>2</sub> are the UAE amplitude wave (%) and time (min), respectively. The statistical significance of the regression model was demonstrated through the <italic>F</italic>-test and <italic>p</italic>-value (<italic>p</italic>&lt;0.05).</p>
<p>For buffer phosphate, the ANOVA showed that there are statistical significance differences (<italic>p</italic>&lt;0.05) in amplitude wave, with R<sup>2</sup> 0.84 and lack of fit of 4.91 (p-value =0,170) (<italic>p</italic>&gt;0.05) (Table S3). The most significant effect on R-PE extraction is the quadratic effect of amplitude wave (+0.15). For distilled water, the amplitude wave and time have significant differences in the yield extraction of R-PE, with R<sup>2</sup> 0.89 and a lack of fit of 1.34 (p-value =0,170) (<italic>p</italic>&gt;0.05) (Table S2). The most significant effect on R-PE extraction is the linear and quadratic effect of amplitude wave (+0.15 and -0.25, respectively) and the quadratic effect of time (-0.27).</p>
<p>The linear positive and negative interaction effects suggest that the extraction yield increase using distilled water as a solvent with an increase in the amplitude and, in addition, the extraction time is reduced. This effect can be observed in <xref ref-type="fig" rid="f2"><bold>Figure&#xa0;2B</bold></xref>, where the surface response plot illustrates the combined effect of the variables in the extraction yield tendency.</p>
<fig id="f2" position="float">
<label>Figure&#xa0;2</label>
<caption>
<p>Response surface (3D) plots to display the effect between the amplitude wave (X<sub>1</sub>) and ultrasonic time (X<sub>2</sub>) by solvent extraction on the extraction yield: <bold>(A)</bold> effect between X<sub>1</sub> and X<sub>2</sub> under buffer phosphate, <bold>(B)</bold> effect between X<sub>1</sub> and X<sub>2</sub> under distilled water.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-877177-g002.tif"/>
</fig>
</sec>
<sec id="s3_3">
<title>High-Pressure Homogenization Method</title>
<p>The experimental result of the extraction yields of R-PE as a function of the pressure, number of passes and solvent for extraction (buffer phosphate and distilled water) are shown in <xref ref-type="table" rid="T2"><bold>Table&#xa0;2</bold></xref>. In buffer phosphate, the Y<sub>PE</sub> ranged from 3.1-5.1 mg g<sup>-1</sup> of R-PE by dry biomass. The Y<sub>PE</sub> ranged from 4.6-5.7 mg g<sup>-1</sup> of R-PE for distilled water by dry biomass. The ANOVA applied to the data and the second-order model selected are summarized in <xref ref-type="table" rid="T4"><bold>Table&#xa0;4</bold></xref> (Eq. 12 and 13). The mathematical model represents the extraction yield as a function of the independent variables (pressure and number of passes) for each solvent of extraction in the chosen ranges; the models are written according to the following equations:<disp-formula>
<label>(Eq.12)</label>
<mml:math display="block" id="M11">
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>H</mml:mi>
<mml:mo stretchy="false">/</mml:mo>
<mml:mi>b</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>f</mml:mi>
<mml:mi>f</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mn>4.57</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.40</mml:mn>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.786</mml:mn>
<mml:msubsup>
<mml:mi>X</mml:mi>
<mml:mn>2</mml:mn>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula>
<label>(Eq.13)</label>
<mml:math display="block" id="M12">
<mml:mrow>
<mml:mo>&#xa0;</mml:mo>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>H</mml:mi>
<mml:mo stretchy="false">/</mml:mo>
<mml:mi>w</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>=</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mn>5.48</mml:mn>
<mml:mo>+</mml:mo>
<mml:mn>0.2537</mml:mn>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.4217</mml:mn>
<mml:msubsup>
<mml:mi>X</mml:mi>
<mml:mn>2</mml:mn>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<table-wrap id="T2" position="float">
<label>Table&#xa0;2</label>
<caption>
<p>Central composite design for high pressure homogenization-assisted method and yield (YPE) from response surface method analysis.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Run</th>
<th valign="top" align="center">Pressure(MPa)</th>
<th valign="top" align="center">Passes</th>
<th valign="top" align="center">Solvent extraction</th>
<th valign="top" align="center">YPE(mg g-1)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">1</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">1.00</td>
<td valign="top" align="left">Phosphate buffer</td>
<td valign="top" align="center">4.284 &#xb1; 0.01</td>
</tr>
<tr>
<td valign="top" align="left">2</td>
<td valign="top" align="center">500</td>
<td valign="top" align="center">1.00</td>
<td valign="top" align="left">Phosphate buffer</td>
<td valign="top" align="center">3.771 &#xb1; 0.13</td>
</tr>
<tr>
<td valign="top" align="left">3</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">3.00</td>
<td valign="top" align="left">Phosphate buffer</td>
<td valign="top" align="center">4.348 &#xb1; 0.1</td>
</tr>
<tr>
<td valign="top" align="left">4</td>
<td valign="top" align="center">500</td>
<td valign="top" align="center">3.00</td>
<td valign="top" align="left">Phosphate buffer</td>
<td valign="top" align="center">3.196 &#xb1; 0.02</td>
</tr>
<tr>
<td valign="top" align="left">5</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">2.00</td>
<td valign="top" align="left">Phosphate buffer</td>
<td valign="top" align="center">5.170 &#xb1; 0.01</td>
</tr>
<tr>
<td valign="top" align="left">6</td>
<td valign="top" align="center">500</td>
<td valign="top" align="center">2.00</td>
<td valign="top" align="left">Phosphate buffer</td>
<td valign="top" align="center">4.425 &#xb1; 0.03</td>
</tr>
<tr>
<td valign="top" align="left">7</td>
<td valign="top" align="center">300</td>
<td valign="top" align="center">1.00</td>
<td valign="top" align="left">Phosphate buffer</td>
<td valign="top" align="center">4.514 &#xb1; 0.02</td>
</tr>
<tr>
<td valign="top" align="left">8</td>
<td valign="top" align="center">300</td>
<td valign="top" align="center">3.00</td>
<td valign="top" align="left">Phosphate buffer</td>
<td valign="top" align="center">3.209&#xb1; 0.05</td>
</tr>
<tr>
<td valign="top" align="left">9</td>
<td valign="top" align="center">300</td>
<td valign="top" align="center">2.00</td>
<td valign="top" align="left">Phosphate buffer</td>
<td valign="top" align="center">4.736 &#xb1; 0.04</td>
</tr>
<tr>
<td valign="top" align="left">10</td>
<td valign="top" align="center">300</td>
<td valign="top" align="center">2.00</td>
<td valign="top" align="left">Phosphate buffer</td>
<td valign="top" align="center">4.361&#xb1; 0.05</td>
</tr>
<tr>
<td valign="top" align="left">11</td>
<td valign="top" align="center">300</td>
<td valign="top" align="center">2.00</td>
<td valign="top" align="left">Phosphate buffer</td>
<td valign="top" align="center">4.631 &#xb1; 0.12</td>
</tr>
<tr>
<td valign="top" align="left">12</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">1.00</td>
<td valign="top" align="left">Distilled water</td>
<td valign="top" align="center">4.957 &#xb1; 0.11</td>
</tr>
<tr>
<td valign="top" align="left">13</td>
<td valign="top" align="center">500</td>
<td valign="top" align="center">1.00</td>
<td valign="top" align="left">Distilled water</td>
<td valign="top" align="center">5.249 &#xb1; 0.10</td>
</tr>
<tr>
<td valign="top" align="left">14</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">3.00</td>
<td valign="top" align="left">Distilled water</td>
<td valign="top" align="center">5.193 &#xb1; 0.08</td>
</tr>
<tr>
<td valign="top" align="left">15</td>
<td valign="top" align="center">500</td>
<td valign="top" align="center">3.00</td>
<td valign="top" align="left">Distilled water</td>
<td valign="top" align="center">4.972 &#xb1; 0.09</td>
</tr>
<tr>
<td valign="top" align="left">16</td>
<td valign="top" align="center">100</td>
<td valign="top" align="center">2.00</td>
<td valign="top" align="left">Distilled water</td>
<td valign="top" align="center">4.873 &#xb1; 0.09</td>
</tr>
<tr>
<td valign="top" align="left">17</td>
<td valign="top" align="center">500</td>
<td valign="top" align="center">2.00</td>
<td valign="top" align="left">Distilled water</td>
<td valign="top" align="center">4.889 &#xb1; 0.08</td>
</tr>
<tr>
<td valign="top" align="left">18</td>
<td valign="top" align="center">300</td>
<td valign="top" align="center">1.00</td>
<td valign="top" align="left">Distilled water</td>
<td valign="top" align="center">5.557 &#xb1; 0.04</td>
</tr>
<tr>
<td valign="top" align="left">19</td>
<td valign="top" align="center">300</td>
<td valign="top" align="center">3.00</td>
<td valign="top" align="left">Distilled water</td>
<td valign="top" align="center">5.727 &#xb1; 0.02</td>
</tr>
<tr>
<td valign="top" align="left">20</td>
<td valign="top" align="center">300</td>
<td valign="top" align="center">2.00</td>
<td valign="top" align="left">Distilled water</td>
<td valign="top" align="center">5.533 &#xb1; 0.11</td>
</tr>
<tr>
<td valign="top" align="left">21</td>
<td valign="top" align="center">300</td>
<td valign="top" align="center">2.00</td>
<td valign="top" align="left">Distilled water</td>
<td valign="top" align="center">5.46 &#xb1; 0.11</td>
</tr>
<tr>
<td valign="top" align="left">22</td>
<td valign="top" align="center">300</td>
<td valign="top" align="center">2.00</td>
<td valign="top" align="left">Distilled water</td>
<td valign="top" align="center">4.631 &#xb1; 0.12</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>where X<sub>1</sub> and X<sub>2</sub> pressure (MPa) and the number of passes, respectively. The statistical significance of the regression model was demonstrated through the <italic>F</italic>-test and <italic>p</italic>-value (<italic>p</italic>&lt;0.05). The response surfaces of Eq. 12 and 13 are displayed in Table S4 and S5, respectively.</p>
<p>In the analysis of HPH by using buffer phosphate, the ANOVA showed that there are statistically significant differences in pressure and number of passes without interactions, with R<sup>2</sup> 0.86 and lack of fit 3.65 (<italic>p</italic>&gt;0.05) (Table S4).</p>
<p>From the HPH model using buffer phosphate, the most significant effects on R-PE extraction are the linear effect of pressure (-0.40) and time (-0.78). While for the water solvent, the model shows similar effects of the pressure (+0.25) and time (-0.42) on R-PE. The variables tested to increase the extraction yield, indicating that the extraction is efficient using a range of pressure between 100-500 MPa and between 1-3 of a number of passes. <xref ref-type="fig" rid="f3"><bold>Figures&#xa0;3A, B</bold></xref> represent the surface response plots illustrating the effects that the combinations of variables have on the extraction yield of phycoerythrin. The range of interest that optimizes the response at a pressure between 100-300 MPa, 2-3 passes with distilled water as solvent is shown in <xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3B</bold></xref>. The maximum predicted optimization point is 390.2 MPa, with two passes with distilled water. This condition was experimentally validated through performance responses of the purity index and had concordance with the predictive yield.</p>
<fig id="f3" position="float">
<label>Figure&#xa0;3</label>
<caption>
<p>Response surface (3D) plots to display the effect between the pressure (X<sub>1</sub>) and passes (X<sub>2</sub>) by solvent extraction on the extraction yield: <bold>(A)</bold> effect between X<sub>1</sub> and X<sub>2</sub> under buffer phosphate, <bold>(B)</bold> effect between X<sub>1</sub> and X<sub>2</sub> under distilled water.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-877177-g003.tif"/>
</fig>
</sec>
</sec>
<sec id="s4">
<title>Characterization of Selected Extracts (Yield of R-Pe, Purity Index, Antioxidant Activities and Soluble Protein)</title>
<sec id="s4_1">
<title>Yield and Purity Index of R-PE</title>
<p>According to our results, distilled water was the best extraction agent for UAE and HPH (<italic>p</italic>&lt;0.05; <xref ref-type="table" rid="T3"><bold>Tables&#xa0;3</bold></xref>, <xref ref-type="table" rid="T4"><bold>4</bold></xref>). The operational conditions selected for UAE were 60% of amplitude wave and 20&#xa0;min. For HPH, the conditions selected were 300 MPa and two number of passes. The extraction yields of R-PE for UAE were 2.3 mg g<sup>-1</sup> DW and for HPH was 5.7 mg g<sup>-1</sup> DW, which were close to the values predicted by the second-order model 2.3 mg R-PE g<sup>-1</sup> DW and 5.6 mg R-PE g<sup>-1</sup> DW, respectively. Thus, the second-order model was validated by these results. The quality of the phycoerythrin enriched extract of these selected conditions is gathered in <xref ref-type="table" rid="T3"><bold>Table&#xa0;3</bold></xref>.</p>
<table-wrap id="T3" position="float">
<label>Table&#xa0;3</label>
<caption>
<p>Characteristics of extracts obtained at selected conditions for ultrasonication (US) and high-pressure homogenization (HPH) methods.</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" align="left">Experimental condition</th>
<th valign="top" colspan="2" align="center">Extract A (US)</th>
<th valign="top" colspan="2" align="center">Extract B (HPH)</th>
</tr>
<tr>
<th valign="top" align="left"> </th>
<th valign="top" align="center">A1</th>
<th valign="top" align="center">A2</th>
<th valign="top" align="center">B1</th>
<th valign="top" align="center">B2</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Yield average (mg g<sup>-1</sup>)</td>
<td valign="top" align="center">2.17 &#xb1; 0.10<sup>b</sup>
</td>
<td valign="top" align="char" char="&#xb1;">1.67 &#xb1; 0.3<sup>a</sup>
</td>
<td valign="top" align="center">5.67 &#xb1; 0.42<sup>d</sup>
</td>
<td valign="top" align="char" char="&#xb1;">4.55 &#xb1; 0.34<sup>c</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">Purity (without concentrated) (A<sub>565</sub>/A<sub>280</sub>)</td>
<td valign="top" align="center">0.30 &#xb1; 0.005<sup>b</sup>
</td>
<td valign="top" align="char" char="&#xb1;">0.18 &#xb1; 0.01<sup>a</sup>
</td>
<td valign="top" align="center">0.34 &#xb1; 0.05<sup>d</sup>
</td>
<td valign="top" align="char" char="&#xb1;">0.26 &#xb1; 0.01<sup>c</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">Purity (concentrated at 30KDa) (A<sub>565</sub>/A<sub>280</sub>)</td>
<td valign="top" align="center">1.15 &#xb1; 0.02<sup>b</sup>
</td>
<td valign="top" align="char" char="&#xb1;">0.86 &#xb1; 0.01<sup>a</sup>
</td>
<td valign="top" align="center">1.57 &#xb1; 0.01<sup>c</sup>
</td>
<td valign="top" align="char" char="&#xb1;">0.95 &#xb1; 0.01<sup>b</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">Soluble protein (%)</td>
<td valign="top" align="center">1.6 &#xb1; 1.0<sup>a</sup>
</td>
<td valign="top" align="char" char="&#xb1;">1.5 &#xb1; 1.11<sup>a</sup>
</td>
<td valign="top" align="center">1.73 &#xb1; 1.10<sup>a</sup>
</td>
<td valign="top" align="char" char="&#xb1;">2.6 &#xb1; 0.32<sup>b</sup>
</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>The average values &#xb1; standard deviations of 3 replicates per treatment are shown. Different letters in a row indicate significant differences (p&lt;0.05) (ANOVA, Student Newman Keuls, p&lt;0.05). A1, Ultrasound (60%amplitud; 10&#xa0;min; water); A2, Ultrasound (60% amplitud; 20&#xa0;min; Buffer phosphate); B1, High pressure (300 MPa; 2 passes; water); B2, High pressure (300 MPa;2 passes; buffer phosphate).</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>From the criterium (Yield of R-PE) of selected extracts conditions by methods A (UAE) and B (HPH), the Ultrafiltration process was applicated for both methods. For the UAE, extracts A<sub>1</sub> extracts are in distilled water and A<sub>2</sub> in buffer phosphate. B1 extracts are in distilled water for the B extraction, and B<sub>2</sub> in buffer phosphate. The results showed that the membrane 30 KDa polyethersulfone (PES) allowed 100% of PE recovery in all extracts obtained by UAE (Extracts A<sub>1</sub> and A<sub>2</sub>) and HPH (extracts B<sub>1</sub> and B<sub>2</sub>). R-PE&#x2019;s purity index (A565/A280) was significantly higher in A<sub>2</sub> and B<sub>1</sub>. Between the treatments, B1 extracts of HPH had the highest extraction yield, which reached 1.57; 0.42 times greater than A1 extract A<sub>1</sub> obtained by UAE (<xref ref-type="table" rid="T3"><bold>Table&#xa0;3</bold></xref>).</p>
</sec>
<sec id="s4_2">
<title>Antioxidant Activities</title>
<p>The antioxidant activity by DPPH method ranged from 3.3 to 11.0 (% w/w dry biomass), showing significant differences among the extractions (<xref ref-type="fig" rid="f4"><bold>Figure&#xa0;4</bold></xref>; Table S6). HPH found the highest level of antioxidant activity with distilled water (11.0 &#xb1; 2.5%). On the other hand, the ORAC activity differed significantly among the different extraction treatments. The activity increased under both extraction treatments (UAE and HPH) in distilled water concerning the maceration method. However, the distilled water shows the highest activity detected between UAE and HPH. The antioxidant activity ranged between 3.70 &#xb1; 0.62 and 10.40 &#xb1; 0.77% for UAE conditions evaluated, while under HPH the ORAC was between 3.30 &#xb1; 0.32 and 11.0 &#xb1; 2.5% (<xref ref-type="table" rid="T4"><bold>Table&#xa0;4</bold></xref>; S6). The positive correlations were obtained between the antioxidant activity and the analyzed molecules. Chlorophyll <italic>a</italic> showed a positive correlation (<italic>r</italic>=0.80 and carotenoids (<italic>r</italic>=0.73) with antioxidant activity by using DPPH method (Table S7). At the same time, phycoerythrin shows a positive correlation (<italic>r</italic>=0.75) with ORAC method (Tables S6 and S7).</p>
<fig id="f4" position="float">
<label>Figure&#xa0;4</label>
<caption>
<p>Total antioxidant activities (ORAC and DPPH) of the aqueous extract of <italic>S. skottsbergii</italic> at selected conditions for ultrasound-assisted extraction (UAE) and high-pressure homogenization (HPH). The average values &#xb1; standard deviations of 3 replicates per treatment are shown. Different letters indicate significant differences (p&lt;0.05) (ANOVA, Student Newman Keuls, p&lt;0.05). M1: Maceration by water; M2: Maceration by Buffer phosphate; A1: Ultrasound by water; A2: Ultrasound by Buffer phosphate; B1: High pressure by water; B2: High pressure by Buffer phosphate.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-877177-g004.tif"/>
</fig>
<table-wrap id="T4" position="float">
<label>Table&#xa0;4</label>
<caption>
<p>Pigmentary composition (Phycoerythrin content, Chlorophyll <italic>a</italic> and Total of carotenoids of the aqueous extract of <italic>S. skottsbergii</italic> at selected conditions for ultrasound (US) and high-pressure homogenization (HPH).</p>
</caption>
<table frame="hsides">
<thead>
<tr>
<th valign="top" rowspan="2" align="left">Method of extraction</th>
<th valign="top" rowspan="2" align="center">Solvent of extraction</th>
<th valign="top" align="center">Phycoerythrin</th>
<th valign="top" align="center">Chlorophyll <italic>a</italic>
</th>
<th valign="top" align="center">Total Carotenoids</th>
</tr>
<tr>
<th valign="top" align="center">(mg g<sup>-1</sup> DW)</th>
<th valign="top" align="center">(&#xb5;g DW mL<sup>-1</sup>)</th>
<th valign="top" align="center">(&#xb5;g DW mL<sup>-1</sup>)</th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">M1</td>
<td valign="top" align="left">Distilled<break/>water</td>
<td valign="top" align="center">0.65 &#xb1; 0.38<sup>c</sup>
</td>
<td valign="top" align="center">0.08 &#xb1; 0.04<sup>a</sup>
</td>
<td valign="top" align="center">0.31 &#xb1; 0.12<sup>a</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">M2</td>
<td valign="top" align="left">Buffer phosphate</td>
<td valign="top" align="center">1.32 &#xb1; 0.73<sup>a</sup>
</td>
<td valign="top" align="center">0.10 &#xb1; 0.04<sup>a</sup>
</td>
<td valign="top" align="center">0.40 &#xb1; 0.11<sup>a</sup>
</td>
</tr>
<tr>
<td valign="top" colspan="5" align="left"/>
</tr>
<tr>
<td valign="top" align="left">A1</td>
<td valign="top" align="left">Distilled<break/>Water</td>
<td valign="top" align="center">2.17 &#xb1; 0.10<sup>e</sup>
</td>
<td valign="top" align="center">0.62 &#xb1; 0.03<sup>e</sup>
</td>
<td valign="top" align="center">2.13 &#xb1; 0.13<sup>e</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">A2</td>
<td valign="top" align="left">Buffer phosphate</td>
<td valign="top" align="center">1.67 &#xb1; 0.03<sup>b</sup>
</td>
<td valign="top" align="center">0.17 &#xb1; 0.05<sup>b</sup>
</td>
<td valign="top" align="center">0.96 &#xb1; 0.02<sup>b</sup>
</td>
</tr>
<tr>
<td valign="top" colspan="5" align="left"/>
</tr>
<tr>
<td valign="top" align="left">B1</td>
<td valign="top" align="left">Distilled<break/>water</td>
<td valign="top" align="center">5.67 &#xb1; 0.42<sup>d</sup>
</td>
<td valign="top" align="center">0.42 &#xb1; 0.01<sup>d</sup>
</td>
<td valign="top" align="center">1.91 &#xb1; 0.05<sup>d</sup>
</td>
</tr>
<tr>
<td valign="top" align="left">B2</td>
<td valign="top" align="left">Buffer phosphate</td>
<td valign="top" align="center">4.55 &#xb1; 0.34<sup>c</sup>
</td>
<td valign="top" align="center">0.24 &#xb1; 0.01<sup>c</sup>
</td>
<td valign="top" align="center">1.37 &#xb1; 0.02<sup>c</sup>
</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>The average values &#xb1; standard deviations of 3 replicates per treatment are shown. Different letters indicate significant differences (p&lt;0.05) (ANOVA, Student Newman Keuls, p&lt;0.05). M1, Maceration by water; M2, Maceration by Buffer phosphate; A1, Ultrasound by water; A2, Ultrasound by Buffer phosphate; B1, High pressure by water; B2, High pressure by Buffer phosphate.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s4_3">
<title>Multivariable Analyses</title>
<p>According to the extraction&#x2019;s treatments, the principal coordinates analyses (PC diagram, according to <xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5</bold></xref>) in the relationship <italic>S. skottsbergii</italic> extract showed a positive correlation of the first axis (81% of total variation) with the samples for M1, M2, A2 and B2. Conversely, the variables: Phycoerythrin, Carotenoids, ORAC, Chla and DPPH, were highest in the samples of B1 and A1 extraction methods extract and were positively correlated with the second axis (13.3% of total variation), with intermedial values for <italic>S. skottsbergii</italic> (<xref ref-type="fig" rid="f5"><bold>Figure&#xa0;5</bold></xref>).</p>
<fig id="f5" position="float">
<label>Figure&#xa0;5</label>
<caption>
<p>Principal component analysis to pigments quantification and antioxidant activity in <italic>S. skottsbergii</italic> with respect to the extraction methods. M1: Maceration by water; M2: Maceration by Buffer phosphate; A1: Ultrasound by water; A2: Ultrasound by buffer phosphate; B1: High-pressure by water and B2: High-pressure by Buffer phosphate.</p>
</caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fmars-09-877177-g005.tif"/>
</fig>
</sec>
</sec>
<sec id="s5" sec-type="discussion">
<title>Discussion</title>
<p>Red seaweeds, such as <italic>Porphyra</italic> sp. (Nori), have relatively high protein content (<xref ref-type="bibr" rid="B45">Mouritsen et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B1">Abdala-D&#xed;az et&#xa0;al., 2019</xref>). However, in our study, the measured content of protein for <italic>S. skottsbergii</italic> (5.46%DW) was lowest than that of <italic>Porphyra</italic> sp. (Rhodophyta) (15.6%DW), but high respect to the brown algae <italic>Laminaria ochroleuca</italic> (Phaeophyceae) (Alginate source) (4.8% DW) reported by <xref ref-type="bibr" rid="B1">Abdala-D&#xed;az et&#xa0;al. (2019)</xref>. Protein levels may vary in different species, geographical areas, seasons, and extractions methodologies (<xref ref-type="bibr" rid="B51">Pereira et&#xa0;al., 2020</xref>). Seaweeds, especially red seaweeds, appear to be an essential source of proteins and biliproteins (<xref ref-type="bibr" rid="B45">Mouritsen et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B51">Pereira et&#xa0;al., 2020</xref>). On the other hand, it has been seen that the degree of sulphation is related to bioactivity in concordance with protein or polysaccharides. It is unknown if more significant bioactivity is present in this species related to sulfating of organic compounds. Carrageenan-based delivery systems present excellent performance in the delivery of bioactive ingredients, which can improve the stability and bioavailability of bioactive ingredients (<xref ref-type="bibr" rid="B27">Huang et&#xa0;al., 2021</xref>).</p>
<p>Generally, the R-PE yield depends on the solvent of extraction. However, the yield decreased above 20&#xa0;min of exposition amplitude wave. This situation can be attributed to the pigment denaturation due to the amplitude wave, which increases the extracted temperature (48&#xb0;C; non shown data). In this sense, more than 20&#xa0;min is not recommended for <italic>S. skottsbergii</italic>, assuming that chloroplast is slightly damaged, explaining R-PE&#x2019;s low release (<xref ref-type="bibr" rid="B51">Pereira et&#xa0;al., 2020</xref>). Similar conclusions were reported by <xref ref-type="bibr" rid="B61">Simovic et&#xa0;al. (2022)</xref>, who found a reduction of R-PE over 45&#xb0;C from macroalgae <italic>Porphyra purpurea</italic> (Rhodophyta) when using the high-pressure method. Knowing each variable&#x2019;s individual and combined effects on R-PE extraction, a model was constructed to predict the optimum conditions at which higher R-PE yields can be extracted. The range optimizes the response is an amplitude between 60-90%, 10-20&#xa0;min of extraction time, and distilled water as solvent. At the same time, the optimal predicted point is 68% of amplitude ultrasound, 18&#xa0;min with distilled water. These observations agree with <xref ref-type="bibr" rid="B51">Pereira et&#xa0;al. (2020)</xref>, who found that between 15-20&#xa0;min under an ultrasound probe would result in a high yield of phycoerythrin from the red algae <italic>Gracilaria gracilis</italic>. Although they did not include the evaluation of amplitude wave, the extraction was done using buffer phosphate. This suggests the effects of extraction yield depend on the extraction solvent and the species of the macroalgae used. <xref ref-type="bibr" rid="B43">Mittal et&#xa0;al. (2017)</xref> analyzed different green technologies and observed that sustainable yield of the phycoerythrin extraction was obtained by a combination of the ultrasound probe with homogenization under buffer phosphate solvent.</p>
<p>However, the extractions yields are reduced (0.16 mg of R-PE g DW<sup>-1</sup>) compared to this study. As a solvent of extraction, the distilled water is the primary factor that enhances the extraction of phycoerythrin and is less influenced by the combined effects of ultrasound wave (%) and time in <italic>S. skottsbergii</italic> (<xref ref-type="fig" rid="f2"><bold>Figures&#xa0;2A, B</bold></xref>; <xref ref-type="table" rid="T2"><bold>Table&#xa0;2</bold></xref>). These observations are in agreement to <xref ref-type="bibr" rid="B29">Jubeau et&#xa0;al. (2013)</xref>, <xref ref-type="bibr" rid="B58">Sudalkar et&#xa0;al. (2015)</xref>, and <xref ref-type="bibr" rid="B65">Tan et&#xa0;al. (2020)</xref>, who there reported higher levels when using distilled water for phycoerythrin extraction. The literature suggests that the UAE has the advantage of direct scalability due to its ability to generate progressively high-intensity cavitation zones and, therefore, suitable for scale-up of the industrial process (<xref ref-type="bibr" rid="B35">Le Guillard et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B53">Rodrigues et&#xa0;al., 2018</xref>). Previous studies reported the successful extraction of phycobiliproteins using ultrasonic waves from other types of algae, such as the microalgae <italic>Porphyridium purpureum</italic> (formerly <italic>Porphyridium cruentum)</italic> (Rhodophyta) and the macroalga <italic>Dasysiphonia japonica</italic> (formerly <italic>Heterosiphonia japonica</italic>) (Rhodophyta) (<xref ref-type="bibr" rid="B55">Rom&#xe1;n et&#xa0;al., 2002</xref>; <xref ref-type="bibr" rid="B9">Benavides and Rito-Palomares, 2006</xref>; <xref ref-type="bibr" rid="B64">Sun et&#xa0;al., 2009</xref>). In this sense, <xref ref-type="bibr" rid="B60">Sharma et&#xa0;al. (2020)</xref> found that the duty cycle variables and electrical acoustic intensity have significant exposure for enhancing the C-phycoerythrin from <italic>Oscillatoria</italic> sp. (Cyanobacteria) whereas <xref ref-type="bibr" rid="B5">Ardiles et&#xa0;al. (2020)</xref> found the maximum R-PE yield was obtained under optimal US conditions (Amplitude wave 100% and 15&#xa0;min for <italic>Porphyridium cruentum</italic> (Rhodophyta). However, when larger periods of treatment were used (&gt;20&#xa0;min), a degradation of phycobiliproteins was observed (<xref ref-type="fig" rid="f2"><bold>Figures&#xa0;2A, B</bold></xref>) (decrease in maximal absorbance), in agreement with other studies (<xref ref-type="bibr" rid="B53">Rodrigues et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B51">Pereira et&#xa0;al., 2020</xref>).</p>
<p>Using high-pressure homogenization (HPH), we observed that the distilled water as a solvent of extraction increases the R-PE yields with pressure and number of passes as a combined effect. Similar results were found by Sudalkar et&#xa0;al. (2015) and Jubeau et&#xa0;al. (2012), showing that water as solvent extraction can increase the yield of phycoerythrin extracts from red algae, as was observed in this study with <italic>S. skottsbergii</italic>. Our results suggest that the release of phycoerythrin can be promoted with distilled water due to accelerated molecule diffusion and solubility of other proteins. However, heat can also induce the degradation of the extracted bioactive compounds. The high amplitude of UAE (between 75-90% wave amplitude) and HPH (&gt;450MPa) produces a higher temperature (average of 40&#xb0;C; non shown data).</p>
<p>The macroalgae studied usually grow in the cold water (&lt;10&#xb0;C) from the Magallanes coast of Chile; thus, the bioactive components could be susceptible to increased heat. These might explain why high pressure and high ultrasound caused a decrease in the phycoerythrin content of the extract. Similar results were observed by <xref ref-type="bibr" rid="B51">Pereira et&#xa0;al. (2020)</xref>, where the pressure at 600 MPa induced an increase in the extracted temperature, promoting pigment denaturation. <xref ref-type="bibr" rid="B61">Simovic et&#xa0;al. (2022)</xref> reported that contrary to elevated temperature, high-pressure (HP) treatment showed significant concentration at 450 MPa had a less destructive effect on R-PE color intensity from macroalgae <italic>Porphyra purpurea</italic> (Rhodophyta). However, the yields are less even if worked in a range similar to our range optimization of 100-300 MPa. This difference can be attributed to the different species of red algae and geographical latitude because the morphology of the cell wall and accumulation of metabolites can vary despite R-phycoerythrin being the pigment with the highest proportion in red algae.</p>
<p>On the other hand, the lyophilization ice crystals are formed during the freezing step (<xref ref-type="bibr" rid="B62">Soni et&#xa0;al., 2006</xref>) that, upon thawing, break down the cellular walls and release the intracellular content directly (<xref ref-type="bibr" rid="B25">Hardouin et&#xa0;al., 2014</xref>). Therefore, the treatment with freeze biomass can be used to achieve higher yields. Similar results were observed by <xref ref-type="bibr" rid="B51">Pereira et&#xa0;al. (2020)</xref>, where the samples that were frozen at -80&#xb0;C obtained higher R-PE yields than that at room temperature. <xref ref-type="bibr" rid="B23">Ghosh and Mishra (2020)</xref> found that the interaction between buffer molarity (0.1 to 1 M) and a number of freeze-thaw cycles (-70 to 27&#xb0;C) was most significant for modeling the responses optimization of the (C-PE) from <italic>Lyngbya</italic> sp. (Cyanobacteria). <xref ref-type="bibr" rid="B65">Tan et&#xa0;al. (2020)</xref> showed similar results with the combination of freezing at &#x2212;80&#xb0;C (2&#xa0;h) and thawing at 25&#xb0;C (24&#xa0;h) as optimal temperature and extraction time to obtain the highest amount of phycobiliproteins for <italic>Arthrospira</italic> sp. (Cyanobacteria). However, several studies have shown that this increase was not significant due to the high content of cellulose deposited in the cell wall (<xref ref-type="bibr" rid="B31">Kannaujiya et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B67">Thoisen et&#xa0;al., 2017</xref>).</p>
<p>Regarding other species of red macroalgae, previous studies showed that the extractions by using mortar maceration of <italic>Gracilaria corticata</italic> and <italic>Gracilaria canaliculata</italic> (formerly <italic>Gracilaria crassa</italic>) yielded 0.78 mg R-PE g<sup>-1</sup> DW and 0.5 mg R-PE g<sup>-1</sup> DW, respectively. These values are still lower than that by using the HPH method but similar to our maceration extraction (0.65 mg R-PE g<sup>-1</sup> DW). Previous results by <xref ref-type="bibr" rid="B7">Astorga-Espa&#xf1;a et&#xa0;al. (2017)</xref>, in the same species of <italic>S. skottsbergii</italic> by using buffer phosphate under the maceration method showed yields ranging from 0.057-0.078 mg g<sup>-1</sup> DW. These differences can be attributed to the extraction method, solvent (phosphate or water), seasonal harvest, and red macroalgae species. However, our work demonstrates high yield levels found in distilled water either by HPH or UAE. In this sense, we believe that the sulfated polysaccharides are released into the matrix because of the increase in temperature, which increases the viscosity of polysaccharides.</p>
<p>Consequently, the cell shear stress is high in this water, allowing the release of a greater quantity to the phosphate buffer. The next step of this work is to study the degree of shear stress at the level of the extraction matrix and comparison between extraction solvents. Therefore, this is a new report of a commercial species where different green extraction methods and solvents for extraction are compared. Considering that <italic>S. skottsbergii</italic> is a commercial species, the cost of extraction using distilled water is lower than that of buffer phosphate, previous to carrageenan extraction processes, visualizing a possible cost-effective biorefinery of this macroalgae in local industry from Chile.</p>
<p>From the observations in <xref ref-type="fig" rid="f2"><bold>Figures&#xa0;2</bold></xref>, <xref ref-type="fig" rid="f3"><bold>3</bold></xref>, our results could be helping to improve the pigment, which remains at a desirable level, considering its commercial importance and potential applications in the functional food sector or supplement market.</p>
<p>Most of the <italic>S. skottsbergii</italic> proteins are more soluble in the extracts A<sub>1</sub> and B<sub>1</sub> than A<sub>2</sub> and B<sub>2</sub>, but not phycoerythrin, which is found in more water solutions (<xref ref-type="bibr" rid="B29">Jubeau et&#xa0;al., 2013</xref>; <xref ref-type="bibr" rid="B63">Sudhakar et&#xa0;al., 2015</xref>). This explains why the purity ratios are higher in distilled water than in phosphate buffer. The soluble proteins detected reached 2.6 &#xb1; 0.32% and 1.73 &#xb1; 1.1% using buffer phosphate and distilled water, respectively (p&lt;0.05; Table&#xa0;5). This result is in agreement with <xref ref-type="bibr" rid="B29">Jubeau et&#xa0;al. (2013)</xref> report, where a higher purity ratio (0.79) in distilled water than in a culture medium applying a two-step high-pressure process in microalgae <italic>Porphyridium purpureum</italic> was detected. Purification yields obtained here and for <xref ref-type="bibr" rid="B19">Denis et&#xa0;al. (2009)</xref> were different because of the biomass treatment, but the concentration of the R-PE was the same effect under 30KDa PES membrane. The permeate flux obtained during the filtration on 30 kDa PES membrane was similar in all treatments, allowing for retaining all R-PE without significant accumulation of unwanted molecules. Moreover, from an industrial point of view, polyethersulfone (PES) membranes are more widely used than cellulose regenerated ones due to their lower fragility and higher resistance to chemicals, pH, and temperature variations (<xref ref-type="bibr" rid="B19">Denis et&#xa0;al., 2009</xref>; <xref ref-type="bibr" rid="B43">Mittal et&#xa0;al., 2017</xref>).</p>
<p>When using HPH in distilled water (pH 7.0), the levels are higher than in phosphate buffer (pH 6.5). It is precisely in distilled water where the high levels of phycoerythrin are found (treatment B1) and chlorophyll and total carotenoids (treatment A1). This could be related to an increase in temperature and the release of polysaccharides that tend to increase the viscosity of the matrix, and so could change the pattern of the cells towards the pressure and the amplitude of the wave, as well as the solubility of PE, being higher in water as solvent by booth methods (UAE and HPH) compared to other solvents.</p>
<p>The R-PE in <italic>S. skottsbergii</italic> is influenced by HPH with water solvent reached 5.67 mg g<sup>&#x2212;1</sup> by dry biomass. The content pigment in red algae is highly dependent on the perceived light intensity and quality of light (<xref ref-type="bibr" rid="B15">Castro-Varela et&#xa0;al., 2021</xref>). However, we suggest the application of HPH to release more content of the R-PE without decreasing the stability, as shown in the purity index (<xref ref-type="table" rid="T3"><bold>Table&#xa0;3</bold></xref>; <xref ref-type="fig" rid="f3"><bold>Figure&#xa0;3</bold></xref>). Thus, these results reinforce using phycobiliproteins (aqueous extracts) from a new source of <italic>S. skottsbergii</italic> for nutraceutical or pharmacology applications (<xref ref-type="bibr" rid="B30">Jung et&#xa0;al., 2016</xref>; <xref ref-type="bibr" rid="B42">Mittal et&#xa0;al., 2019</xref>).</p>
<p>There are still few studies that evaluate the impact of the extractive technique on the bioactive, which makes it difficult to compare our results with other works on pigments process optimization. In this aspect, we consider that our work is the first approach to the state of the pigmentary material of this red macroalgae after method extractions, of high interest as several authors have valued for food applications (<xref ref-type="bibr" rid="B35">Le Guillard et&#xa0;al., 2015</xref>; <xref ref-type="bibr" rid="B33">Khanra et&#xa0;al., 2018</xref>; <xref ref-type="bibr" rid="B37">Liu et&#xa0;al., 2019</xref>; <xref ref-type="bibr" rid="B42">Mittal et&#xa0;al., 2019</xref>).</p>
<p>Biliproteins showed a positive correlation with the antioxidant activity in different red algae and cyanobacteria (<xref ref-type="bibr" rid="B57">Sekar and Chandramohan, 2008</xref>; <xref ref-type="bibr" rid="B49">Pagels et&#xa0;al., 2019</xref>). The pigments and antioxidant capacity of the water extract from the <italic>S. skottsbergii</italic> show a good relation. Biliproteins concentrations can vary depending on environmental factors like irradiance, light quality, pH or nutrients (<xref ref-type="bibr" rid="B34">Korbee et&#xa0;al., 2005</xref>; <xref ref-type="bibr" rid="B16"> Celis-Pl&#xe1; et&#xa0;al., 2014</xref>; <xref ref-type="bibr" rid="B7">Astorga-Espa&#xf1;a et&#xa0;al., 2017</xref>; <xref ref-type="bibr" rid="B49">Pagels et&#xa0;al., 2019</xref>). The extraction can also influence the content; e.g., a great number of authors used the freezing and thawing method (<xref ref-type="bibr" rid="B48">Niu et&#xa0;al., 2006</xref>). However, our observations showed significant antioxidant properties, which were increased with the enhancement of R-PE concentration in water solvent by UAE and HPH method. Although our study does not use a chromatographic technique for purification and determinate the polyphenols and polysaccharides, the concentred extract of R-PE could be part of a synergy of these compounds in the redox activity can be attributed to this macroalgae.</p>
</sec>
<sec id="s6" sec-type="conclusions">
<title>Conclusions</title>
<p>The extraction of R-PE from <italic>S. skottsbergii</italic> was optimized by RSM, using UAE and HPH. RSM proved to be useful for PE extraction in the tested range of optimization, providing a model with a good agreement between the experimental and predicted results. HPH obtained the most efficient extraction yielding 5.7 mg R-PE g<sup>-1</sup> DW biomass at the optimal conditions (300 MPa, 2 passes with distilled water), 50-60% higher than the PE yields obtained with UAE. The most crucial variable in the extraction process was the pressure level, with higher concentrations of R-PE using distilled water. <italic>S. skottsbergii</italic> revealed an excellent source of R-phycoerythrin and antioxidant activity, visualizing its application as a bioactive ingredient could be suggested for the food industry.</p>
</sec>
<sec id="s7" sec-type="data-availability">
<title>Data Availability Statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="supplementary-material" rid="SM1"><bold>Supplementary Material</bold></xref>. Further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s8" sec-type="author-contributions">
<title>Author Contributions</title>
<p>PC-V, PC-P, FF, and MR conceived and designed the experiments; PC-V performed the experiments; all authors analysed the data and co-wrote the paper. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec id="s9" sec-type="funding-information">
<title>Funding</title>
<p>The research leading to these results has received funding from National Agency of Development and Research of Chile (PhD Scholarship N&#xb0;21180257) and Andalusian government, Spain (Project FACCO, UMA18-FEDER JA-162).</p>
</sec>
<sec id="s10" sec-type="COI-statement">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="s11" sec-type="disclaimer">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
</body>
<back>
<ack>
<title>Acknowledgments</title>
<p>We want to express our gratitude to Mr. Jaime Zamorano, Director of Development, from the GELYMAR S.A. for collaborate with this research project. We also want to thank to the Photobiology and Biotechnology of Aquatic Organisms research group (FYBOA, RNM-295) and the Institute of Blue Biotechnology and Developmen (IBYDA), University of Malaga due to the use of laboratory equipments and acknowledgments of the Laboratory of Coastal Environmental Research (LACER, University of Playa Ancha) for the technical support. P.S.M.C-P thanks to CEA 22-20 project of the University of Playa Ancha regular competition research 2019.</p>
</ack>
<sec id="s12" sec-type="supplementary-material">
<title>Supplementary Material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fmars.2022.877177/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fmars.2022.877177/full#supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet_1.docx" id="SM1" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document"/>
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