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<article article-type="brief-report" dtd-version="2.3" xml:lang="EN" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">
<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Toxicol.</journal-id>
<journal-title>Frontiers in Toxicology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Toxicol.</abbrev-journal-title>
<issn pub-type="epub">2673-3080</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1221625</article-id>
<article-id pub-id-type="doi">10.3389/ftox.2023.1221625</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Toxicology</subject>
<subj-group>
<subject>Brief Research Report</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Experimental exposure assessment for <italic>in vitro</italic> cell-based bioassays in 96- and 384-well plates</article-title>
<alt-title alt-title-type="left-running-head">Huchthausen et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/ftox.2023.1221625">10.3389/ftox.2023.1221625</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Huchthausen</surname>
<given-names>Julia</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2309775/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>K&#xf6;nig</surname>
<given-names>Maria</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Escher</surname>
<given-names>Beate I.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Henneberger</surname>
<given-names>Luise</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1885852/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Department of Cell Toxicology</institution>, <institution>Helmholtz Centre for Environmental Research&#x2014;UFZ</institution>, <addr-line>Leipzig</addr-line>, <country>Germany</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Geosciences</institution>, <institution>Environmental Toxicology</institution>, <institution>Eberhard Karls University T&#xfc;bingen</institution>, <addr-line>T&#xfc;bingen</addr-line>, <country>Germany</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/30765/overview">Robert Landsiedel</ext-link>, BASF, Germany</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1172770/overview">Nynke Kramer</ext-link>, Wageningen University and Research, Netherlands</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1837581/overview">James Armitage</ext-link>, Universit&#xe9; du Qu&#xe9;bec &#xe0; Montr&#xe9;al, Canada</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Luise Henneberger, <email>luise.henneberger@ufz.de</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>25</day>
<month>07</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>5</volume>
<elocation-id>1221625</elocation-id>
<history>
<date date-type="received">
<day>12</day>
<month>05</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>06</day>
<month>07</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Huchthausen, K&#xf6;nig, Escher and Henneberger.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Huchthausen, K&#xf6;nig, Escher and Henneberger</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>In vitro</italic> cell-based bioassays have great potential for applications in the human health risk assessment of chemicals. The quantification of freely dissolved concentrations (<italic>C</italic>
<sub>free</sub>) in <italic>in vitro</italic> assays is essential to generate reliable data for <italic>in vitro</italic>-to-<italic>in vivo</italic> extrapolation. Existing methods for the quantification of <italic>C</italic>
<sub>free</sub> are limited to low-throughput microtiter plates. The present study is a proof of principle for the applicability of a solid-phase microextraction (SPME) method for the determination of <italic>C</italic>
<sub>free</sub> in the peroxisome proliferator-activated receptor gamma (PPAR&#x3b3;) bioassay run in 384-well plates with 80&#xa0;&#xb5;L medium per well. The effect concentrations obtained from 384-well plates were compared with those obtained from 96-well plates in a previous study. Nominal effect concentrations obtained using 96- and 384-well plates agreed with each other within a factor of three, and freely dissolved effect concentrations agreed within a factor of 6.5. The good degree of agreement in the results from both plate formats proves the general applicability of the SPME method for the determination of <italic>C</italic>
<sub>free</sub> for bioassays in 384-well plates, making the present study a first step toward exposure assessment in high-throughput bioassays.</p>
</abstract>
<kwd-group>
<kwd>solid-phase microextraction</kwd>
<kwd>bioassay</kwd>
<kwd>
<italic>in vitro</italic>
</kwd>
<kwd>high throughput</kwd>
<kwd>PPAR&#x3b3;</kwd>
</kwd-group>
<contract-sponsor id="cn001">European Chemical Industry Council<named-content content-type="fundref-id">10.13039/100009420</named-content>
</contract-sponsor>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>In Vitro Toxicology</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Chemicals are omnipresent in today&#x2019;s world. People are exposed to a mix of thousands of different chemicals that could have unknown consequences for human health. For this reason, thorough risk assessment is essential to determine the possible consequences of human exposure to chemicals (<xref ref-type="bibr" rid="B19">Rice et al., 2008</xref>). Cell-based bioassays have gained popularity in the field of toxicology in recent years. With the initiation of the &#x201c;Toxicity Testing in the 21st Century&#x201d; (Tox21) program in 2007, the US National Research Council paved the way for <italic>in vitro</italic> bioassays as alternatives to animal testing (<xref ref-type="bibr" rid="B21">US National Research Council, 2007</xref>).</p>
<p>Cell-based bioassays allow for automatization, making them a cost-effective and time-saving method for the assessment of effects. However, chemical exposure during the assay must be monitored in order to obtain biologically relevant data (<xref ref-type="bibr" rid="B5">G&#xfc;lden et al., 2002</xref>; <xref ref-type="bibr" rid="B9">Henneberger et al., 2019b</xref>; <xref ref-type="bibr" rid="B12">Huchthausen et al., 2020</xref>). Complementary to the typically used nominal concentration (<italic>C</italic>
<sub>nom</sub>), freely dissolved concentration (<italic>C</italic>
<sub>free</sub>) in the assay medium should be used as a concentration metric if chemical losses, e.g., due to sorption to medium components, cannot be excluded (<xref ref-type="bibr" rid="B4">Groothuis et al., 2015</xref>).</p>
<p>Various mass balance models are available to predict <italic>C</italic>
<sub>free</sub> (<xref ref-type="bibr" rid="B1">Armitage et al., 2021</xref>; <xref ref-type="bibr" rid="B17">Proen&#xe7;a et al., 2021</xref>). However, previous studies from our group have shown that, especially for ionizable chemicals, model predictions can deviate widely from experimental values (<xref ref-type="bibr" rid="B8">Henneberger et al., 2020</xref>; <xref ref-type="bibr" rid="B12">Huchthausen et al., 2020</xref>). Measuring <italic>C</italic>
<sub>free</sub> during the assay at effective concentrations has been demonstrated to be especially important for ionizable chemicals that show non-linear binding to medium proteins (<xref ref-type="bibr" rid="B7">Henneberger et al., 2019a</xref>; <xref ref-type="bibr" rid="B9">Henneberger et al., 2019b</xref>; <xref ref-type="bibr" rid="B12">Huchthausen et al., 2020</xref>).</p>
<p>We have previously developed a method integrating exposure assessment of single chemicals with diverse physicochemical properties and chemical mixtures into a routine bioassay workflow in 96-well plates (<xref ref-type="bibr" rid="B9">Henneberger et al., 2019b</xref>; <xref ref-type="bibr" rid="B12">Huchthausen et al., 2020</xref>; <xref ref-type="bibr" rid="B6">Henneberger et al., 2022</xref>). Solid-phase microextraction (SPME) was established by <xref ref-type="bibr" rid="B10">Heringa et al. (2003)</xref> to be a suitable method for experimental exposure assessment and has been shown to be a good method for measurement of <italic>C</italic>
<sub>free</sub> in bioassay medium aliquots from 96-well plates (<xref ref-type="bibr" rid="B9">Henneberger et al., 2019b</xref>; <xref ref-type="bibr" rid="B12">Huchthausen et al., 2020</xref>). Cell-based bioassays are often performed in automated high-throughput screening (HTS) systems using 384- or 1,536-well plates (<xref ref-type="bibr" rid="B13">Inglese and Auld, 2008</xref>). High-tier well plate formats allow higher sample throughput without a linear increase in costs (<xref ref-type="bibr" rid="B14">Kolb and Neumann, 1997</xref>); however, they are more challenging with regard to exposure assessment due to the low sample volume (of typically 40&#x2013;80&#xa0;&#x3bc;L for 384-well plates and 6&#x2013;10&#xa0;&#xb5;L for 1,536-well plates), the higher surface area, and the large number of samples per plate.</p>
<p>The aim of this work was to prove that the existing method for the determination of <italic>C</italic>
<sub>free</sub> for 96-well plates can be adapted to bioassay medium aliquots from 384-well plates. The assay used for optimization was the peroxisome proliferator-activated receptor gamma (PPAR&#x3b3;) assay representing the chemical activation of human lipid metabolism. Nine previously tested PPAR&#x3b3; activators were selected, for which <italic>C</italic>
<sub>free</sub> had already been determined experimentally in 96-well plates (<xref ref-type="bibr" rid="B12">Huchthausen et al., 2020</xref>). The intent of this study was to demonstrate the general comparability of the measured <italic>C</italic>
<sub>free</sub> values obtained from both plate formats.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>2 Materials and methods</title>
<sec id="s2-1">
<title>2.1 Solvents and chemicals</title>
<p>To compare the effect concentrations obtained from bioassays conducted in 96- and 384-well plates, nine chemicals previously identified as PPAR&#x3b3; activators (<xref ref-type="bibr" rid="B9">Henneberger et al., 2019b</xref>; <xref ref-type="bibr" rid="B12">Huchthausen et al., 2020</xref>) were tested: caffeine (neutral), lamotrigine (base), six acids (diclofenac, 2,4-dichlorophenoxyacetic acid (2,4-D), naproxen, ibuprofen, torasemide, and warfarin), and telmisartan (multifunctional). The chemical class, logarithmic liposome&#x2013;water distribution ratio (log <italic>D</italic>
<sub>lip/w</sub>), acidity constant (p<italic>K</italic>
<sub>a</sub>), and speciation at pH 7.4 of each of the test chemicals are shown in <xref ref-type="table" rid="T1">Table 1</xref>. Information on the measurement of p<italic>K</italic>
<sub>a</sub> is provided in <xref ref-type="sec" rid="s10">Supplementary Data Sheet 1 (Text S1</xref>). Further information on the chemicals can be found in <xref ref-type="sec" rid="s10">Supplementary Data Sheet 1 (Table S1</xref>).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Test chemicals, their logarithmic liposome&#x2013;water distribution ratio (log <italic>D</italic>
<sub>lip/w</sub>), their chemical class, p<italic>K</italic>
<sub>a</sub>, and speciation at pH 7.4.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Chemical</th>
<th align="center">Log <italic>D</italic>
<sub>lip/w</sub> (L<sub>w</sub>/L<sub>lip</sub>)</th>
<th align="center">Chemical class</th>
<th align="center">Acidity constant (p<italic>K</italic>
<sub>a</sub>)</th>
<th align="center">Speciation at pH 7.4</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Caffeine</td>
<td align="center">0.08<xref ref-type="table-fn" rid="Tfn1">
<sup>a</sup>
</xref>
</td>
<td align="center">Neutral</td>
<td align="center">-</td>
<td align="center">100% neutral</td>
</tr>
<tr>
<td align="left">Lamotrigine</td>
<td align="center">2.06<xref ref-type="table-fn" rid="Tfn2">
<sup>b</sup>
</xref>
</td>
<td align="center">Base</td>
<td align="center">5.53<xref ref-type="table-fn" rid="Tfn1">
<sup>c</sup>
</xref>
</td>
<td align="center">99% neutral and 1% cationic</td>
</tr>
<tr>
<td align="left">Diclofenac</td>
<td align="center">2.64<xref ref-type="table-fn" rid="Tfn1">
<sup>d</sup>
</xref>
</td>
<td align="center">Acid</td>
<td align="center">4.07<xref ref-type="table-fn" rid="Tfn1">
<sup>e</sup>
</xref>
</td>
<td align="center">&#x3e;99% anionic</td>
</tr>
<tr>
<td align="left">2,4-D</td>
<td align="center">2.02<xref ref-type="table-fn" rid="Tfn1">
<sup>d</sup>
</xref>
</td>
<td align="center">Acid</td>
<td align="center">2.70<xref ref-type="table-fn" rid="Tfn1">
<sup>c</sup>
</xref>
</td>
<td align="center">&#x3e;99% anionic</td>
</tr>
<tr>
<td align="left">Naproxen</td>
<td align="center">2.17<xref ref-type="table-fn" rid="Tfn1">
<sup>d</sup>
</xref>
</td>
<td align="center">Acid</td>
<td align="center">4.19<xref ref-type="table-fn" rid="Tfn1">
<sup>c</sup>
</xref>
</td>
<td align="center">&#x3e;99% anionic</td>
</tr>
<tr>
<td align="left">Ibuprofen</td>
<td align="center">1.81<xref ref-type="table-fn" rid="Tfn1">
<sup>f</sup>
</xref>
</td>
<td align="center">Acid</td>
<td align="center">4.37<xref ref-type="table-fn" rid="Tfn1">
<sup>c</sup>
</xref>
</td>
<td align="center">&#x3e;99% anionic</td>
</tr>
<tr>
<td align="left">Torasemide</td>
<td align="center">2.05<xref ref-type="table-fn" rid="Tfn1">
<sup>d</sup>
</xref>
</td>
<td align="center">Acid</td>
<td align="center">6.77<xref ref-type="table-fn" rid="Tfn1">
<sup>c</sup>
</xref>
</td>
<td align="center">81% anionic and 19% neutral</td>
</tr>
<tr>
<td align="left">Warfarin</td>
<td align="center">1.62<xref ref-type="table-fn" rid="Tfn1">
<sup>d</sup>
</xref>
</td>
<td align="center">Acid</td>
<td align="center">4.95<xref ref-type="table-fn" rid="Tfn1">
<sup>c</sup>
</xref>
</td>
<td align="center">&#x3e;99% anionic</td>
</tr>
<tr>
<td align="left">Telmisartan</td>
<td align="center">4.73<xref ref-type="table-fn" rid="Tfn3">
<sup>g</sup>
</xref>
</td>
<td align="center">Multifunctional</td>
<td align="center">3.07, 4.34, and 6.04<xref ref-type="table-fn" rid="Tfn1">
<sup>e</sup>
</xref>
</td>
<td align="center">96% anionic and 4% zwitterionic</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="Tfn1">
<label>
<sup>a</sup>
</label>
<p>Predicted using the UFZ-LSER database (<xref ref-type="bibr" rid="B20">Ulrich et al., 2017</xref>).</p>
</fn>
<fn id="Tfn2">
<label>
<sup>b</sup>
</label>
<p>
<xref ref-type="bibr" rid="B8">Henneberger et al. (2020)</xref>.</p>
</fn>
<fn>
<p>
<sup>c</sup>Measured using Sirius T3 (this study).</p>
</fn>
<fn>
<p>
<sup>d</sup>
<xref ref-type="bibr" rid="B7">Henneberger et al. (2019a)</xref>.</p>
</fn>
<fn>
<p>
<sup>e</sup>
<xref ref-type="bibr" rid="B16">Niu et al. (2022)</xref>.</p>
</fn>
<fn>
<p>
<sup>f</sup>
<xref ref-type="bibr" rid="B2">Avdeef et al. (1998)</xref>.</p>
</fn>
<fn id="Tfn3">
<label>
<sup>g</sup>
</label>
<p>
<xref ref-type="bibr" rid="B12">Huchthausen et al. (2020)</xref>.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>LC-MS-grade acetonitrile, isopropanol (CHEMSOLUTE), methanol, and formic acid (Honeywell) with &#x2265;99.9% purity were used. Deionized water was obtained using a Milli-Q water purification system (Merck).</p>
</sec>
<sec id="s2-2">
<title>2.2 <italic>In vitro</italic> bioassay</title>
<p>The GeneBLAzer PPAR&#x3b3;-UAS-bla HEK 293H cell line was purchased from Thermo Fisher Scientific (catalog number K1419). Cells were seeded at 6,500 cells per well in 30&#xa0;&#x3bc;L PPAR&#x3b3; assay medium (98% Opti-MEM, 2% charcoal-stripped fetal bovine serum (FBS), 100 U/mL penicillin&#x2013;streptomycin, and 10&#xa0;mM HEPES) in BioCoat&#x2122; TC-treated 384-well microplates with a poly-D-lysine coating from Corning (catalog number 356663) and incubated at 37&#xb0;C, 5% CO<sub>2</sub>, and 100% humidity for 24&#xa0;h. All chemicals were tested in duplicate in linear dilution in the PPAR&#x3b3; assay. In a glass-coated 96-well plate (Thermo Fisher Scientific, catalog number 60180-P300), 150&#xa0;&#xb5;L PPAR&#x3b3; assay medium per well was spiked with different chemical concentrations using a digital dispenser (D300e, Tecan). Subsequently, 50&#xa0;&#x3bc;L spiked assay medium was transferred manually in duplicate from each well of the 96-well dosing plate to the 384-well cell plate, leading to a total volume of 80&#xa0;&#xb5;L per well. After dosing, the cells were incubated at 37&#xb0;C, 5% CO<sub>2</sub>, and 100% humidity for 24&#xa0;h. The confluency of the cells was measured before and 24&#xa0;h after dosing using an Incucyte S3 Automated Live-Cell Imager (Essen BioScience) to determine cell viability. PPAR&#x3b3; activation was detected using the LiveBLAzer&#x2122; FRET-B/G Loading Kit from Thermo Fisher Scientific (catalog number K1095). The protocol for the PPAR&#x3b3; assay is described in detail in <xref ref-type="bibr" rid="B15">Neale et al. (2017)</xref>. Medium aliquots of 30&#xa0;&#xb5;L from the highest concentration in the dosing plate (t &#x3d; 0&#xa0;h) and each well of the cell plate after 24-h incubation (t &#x3d; 24&#xa0;h) were transferred to amber glass vials with inserts from LABSOLUTE (catalog number 7648146) for the determination of <italic>C</italic>
<sub>free</sub>.</p>
</sec>
<sec id="s2-3">
<title>2.3 Determination of <italic>C</italic>
<sub>free</sub>
</title>
<p>Custom-made metal alloy SPME fibers from Sigma-Aldrich coated with C18/polyacrylonitrile (approximately 30&#xa0;mm total length, 2&#xa0;mm coating length, 45&#xa0;&#xb5;m coating thickness, and approximately 69&#xa0;nL coating volume), were used.</p>
<p>The fibers were conditioned in methanol for 24&#xa0;h and in Milli-Q water for 20&#xa0;min. They were immersed into the medium aliquots (30&#xa0;&#xb5;L) and incubated at 37&#xb0;C and 1,800&#xa0;rpm (BioShake iQ, QInstruments) for 24&#xa0;h. The fibers were moved to a new vial containing 60&#xa0;&#xb5;L of the respective desorption solvent (<xref ref-type="sec" rid="s10">Supplementary Table S1</xref>) and desorbed at 37&#xb0;C and 1,800&#xa0;rpm for 2&#xa0;h. The protocol for the SPME method is described in detail in <xref ref-type="bibr" rid="B7">Henneberger et al. (2019a)</xref>. Controls in phosphate-buffered saline (PBS) were run separately for each chemical to determine the fiber&#x2013;water distribution ratio (<italic>D</italic>
<sub>f/w</sub>).</p>
<p>The chemical concentration in the PBS controls and the desorption solution of all samples was determined using an Agilent 1260 Infinity II liquid chromatograph coupled to an Agilent 6420 Triple Quad mass spectrometer equipped with a Luna Omega Polar C18 column, a BioZen peptide PS-C18 column, or a Kinetex C18 column. Further details on the instrumentation can be found in <xref ref-type="sec" rid="s10">Supplementary Data Sheet 1 (Tables S2 and S3</xref>). Acetonitrile blanks and standard solutions in the respective solvent (1&#x2013;10,000&#xa0;ng/mL) were measured with the samples.</p>
</sec>
<sec id="s2-4">
<title>2.4 Data evaluation</title>
<p>To obtain concentration response curves (CRCs) from the bioassay results, <italic>C</italic>
<sub>nom</sub> or <italic>C</italic>
<sub>free</sub> values were plotted against the measured effects. The nominal or freely dissolved concentration leading to a cytotoxicity of 10% is the IC<sub>10</sub> or IC<sub>10,free</sub> value; this was calculated from the slope of the linear part of the CRC using Eq. <xref ref-type="disp-formula" rid="e1">1</xref>. The standard error of the IC<sub>10</sub> or IC<sub>10,free</sub> was calculated using Eq. <xref ref-type="disp-formula" rid="e2">2</xref> (<xref ref-type="bibr" rid="B3">Escher et al., 2018</xref>).<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">I</mml:mi>
<mml:mi mathvariant="normal">C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>10</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>free</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>10</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">I</mml:mi>
<mml:mi mathvariant="normal">C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>10</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>free</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>10</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mfrac>
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<mml:mi mathvariant="normal">E</mml:mi>
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<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
<p>The reference chemical for the PPAR&#x3b3; assay was rosiglitazone. This was dosed in duplicate on each plate in addition to the test chemicals to determine the maximum effect. The nominal or freely dissolved concentration leading to 10% of the maximum effect is referred to as the EC<sub>10</sub> or EC<sub>10,free</sub>, respectively. This value was calculated from the linear part of the CRC at concentrations below IC<sub>10</sub> or IC<sub>10,free</sub> using Eq. <xref ref-type="disp-formula" rid="e3">3</xref>. The standard error of the EC<sub>10</sub> was calculated using Eq. <xref ref-type="disp-formula" rid="e4">4</xref>.<disp-formula id="e3">
<mml:math id="m3">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">I</mml:mi>
<mml:mi mathvariant="normal">C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>10</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>free</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>10</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
<disp-formula id="e4">
<mml:math id="m4">
<mml:mrow>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">I</mml:mi>
<mml:mi mathvariant="normal">C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>10</mml:mn>
<mml:mo>,</mml:mo>
<mml:mi>free</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>10</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
</p>
<p>The concentration of the test chemical in the SPME fiber (<italic>C</italic>
<sub>f</sub>) was calculated using Eq. <xref ref-type="disp-formula" rid="e5">5</xref>. <italic>C</italic>
<sub>des</sub> represents the concentration in the desorption solution, <italic>V</italic>
<sub>des</sub> represents the volume of the desorption solution, and <italic>V</italic>
<sub>f</sub> represents the volume of the fiber coating.<disp-formula id="e5">
<mml:math id="m5">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi mathvariant="normal">f</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">d</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">d</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi mathvariant="normal">f</mml:mi>
</mml:msub>
</mml:mfrac>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
</p>
<p>The <italic>D</italic>
<sub>f/w</sub> value was determined from PBS controls using Eq. <xref ref-type="disp-formula" rid="e6">6</xref>. <italic>C</italic>
<sub>w</sub> represents the chemical concentration in the PBS phase after SPME.<disp-formula id="e6">
<mml:math id="m6">
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mfrac bevelled="true">
<mml:mrow>
<mml:mi mathvariant="normal">f</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">w</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi mathvariant="normal">f</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi mathvariant="normal">w</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
</p>
<p>
<italic>C</italic>
<sub>free</sub> in the medium aliquots was calculated using Eq. <xref ref-type="disp-formula" rid="e7">7</xref> (<xref ref-type="bibr" rid="B9">Henneberger et al., 2019b</xref>). The total amount of the chemical (<italic>n</italic>
<sub>total</sub>) was calculated from <italic>C</italic>
<sub>nom</sub>.<disp-formula id="e7">
<mml:math id="m7">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">f</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mfrac bevelled="true">
<mml:mrow>
<mml:mi mathvariant="normal">f</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">w</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>n</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">a</mml:mi>
<mml:mi mathvariant="normal">l</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi mathvariant="normal">f</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi mathvariant="normal">f</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>
</p>
</sec>
</sec>
<sec sec-type="results|discussion" id="s3">
<title>3 Results and discussion</title>
<p>The measured effects (cytotoxicity and PPAR&#x03B3; activation) were plotted against <italic>C</italic>
<sub>nom</sub> and <italic>C</italic>
<sub>free</sub>. CRCs for all chemicals are shown in <xref ref-type="sec" rid="s10">Supplementary Data Sheet 1 (Figure S1</xref>).</p>
<p>Seven of the nine test chemicals were cytotoxic (all except naproxen and torasemide), and all activated PPAR&#x3b3;. Comparisons of the nominal IC<sub>10</sub> and EC<sub>10</sub> to the measured IC<sub>10,free</sub> and EC<sub>10,free</sub> are presented in <xref ref-type="table" rid="T2">Table 2</xref>.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p> Nominal and freely dissolved effect concentrations of the test chemicals as measured in experiments conducted in 384-well plates. IC<sub>10,nom</sub> or IC<sub>10,free</sub>: Nominal or freely dissolved concentration leading to a cytotoxicity of 10%. EC<sub>10,nom</sub> or EC<sub>10,free</sub>: Nominal concentration leading to 10% of the maximum effect. CV: Coefficient of variation.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center"/>
<th colspan="4" align="center">Cytotoxicity</th>
<th colspan="4" align="center">PPAR&#x3b3; activation</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<bold>Chemical</bold>
</td>
<td align="center">
<bold>IC</bold>
<sub>
<bold>10,nom</bold>
</sub> <bold>[M]</bold>
</td>
<td align="center">
<bold>CV [%]</bold>
</td>
<td align="center">
<bold>IC</bold>
<sub>
<bold>10,free</bold>
</sub> <bold>[M]</bold>
</td>
<td align="center">
<bold>CV [%]</bold>
</td>
<td align="center">
<bold>EC</bold>
<sub>
<bold>10,nom</bold>
</sub> <bold>[M]</bold>
</td>
<td align="center">
<bold>CV [%]</bold>
</td>
<td align="center">
<bold>EC</bold>
<sub>
<bold>10,free</bold>
</sub> <bold>[M]</bold>
</td>
<td align="center">
<bold>CV [%]</bold>
</td>
</tr>
<tr>
<td align="left">Caffeine</td>
<td align="center">2.14 &#xd7; 10<sup>&#x2212;3</sup>
</td>
<td align="center">14.7</td>
<td align="center">1.89 &#xd7; 10<sup>&#x2212;3</sup>
</td>
<td align="center">14.6</td>
<td align="center">2.49 &#xd7; 10<sup>&#x2212;4</sup>
</td>
<td align="center">8.4</td>
<td align="center">2.06 &#xd7; 10<sup>&#x2212;4</sup>
</td>
<td align="center">9.0</td>
</tr>
<tr>
<td align="left">Lamotrigine</td>
<td align="center">5.75 &#xd7; 10<sup>&#x2212;4</sup>
</td>
<td align="center">23.7</td>
<td align="center">4.66 &#xd7; 10<sup>&#x2212;4</sup>
</td>
<td align="center">22.6</td>
<td align="center">2.68 &#xd7; 10<sup>&#x2212;4</sup>
</td>
<td align="center">15.9</td>
<td align="center">2.14 &#xd7; 10<sup>&#x2212;4</sup>
</td>
<td align="center">15.9</td>
</tr>
<tr>
<td align="left">Diclofenac</td>
<td align="center">4.99 &#xd7; 10<sup>&#x2212;5</sup>
</td>
<td align="center">21.9</td>
<td align="center">3.41 &#xd7; 10<sup>&#x2212;5</sup>
</td>
<td align="center">22.0</td>
<td align="center">2.07 &#xd7; 10<sup>&#x2212;6</sup>
</td>
<td align="center">42.0</td>
<td align="center">4.84 &#xd7; 10<sup>&#x2212;7</sup>
</td>
<td align="center">37.5</td>
</tr>
<tr>
<td align="left">2,4-D</td>
<td align="center">1.60 &#xd7; 10<sup>&#x2212;4</sup>
</td>
<td align="center">28.1</td>
<td align="center">1.04 &#xd7; 10<sup>&#x2212;4</sup>
</td>
<td align="center">28.1</td>
<td align="center">1.31 &#xd7; 10<sup>&#x2212;4</sup>
</td>
<td align="center">21.7</td>
<td align="center">9.95 &#xd7; 10<sup>&#x2212;5</sup>
</td>
<td align="center">20.5</td>
</tr>
<tr>
<td align="left">Naproxen</td>
<td colspan="2" align="center">Not active up to 3.13 &#xd7; 10<sup>&#x2212;4</sup>&#xa0;M</td>
<td colspan="2" align="center">Not active up to 1.48 &#xd7; 10<sup>&#x2212;4</sup>&#xa0;M</td>
<td align="center">2.15 &#xd7; 10<sup>&#x2212;5</sup>
</td>
<td align="center">15.8</td>
<td align="center">7.11 &#xd7; 10<sup>&#x2212;7</sup>
</td>
<td align="center">19.5</td>
</tr>
<tr>
<td align="left">Ibuprofen</td>
<td align="center">3.41 &#xd7; 10<sup>&#x2212;4</sup>
</td>
<td align="center">24.5</td>
<td align="center">1.22 &#xd7; 10<sup>&#x2212;4</sup>
</td>
<td align="center">22.1</td>
<td align="center">8.90 &#xd7; 10<sup>&#x2212;6</sup>
</td>
<td align="center">14.8</td>
<td align="center">2.11 &#xd7; 10<sup>&#x2212;6</sup>
</td>
<td align="center">14.9</td>
</tr>
<tr>
<td align="left">Torasemide</td>
<td colspan="2" align="center">Not active up to 3.75 &#xd7; 10<sup>&#x2212;4</sup>&#xa0;M</td>
<td colspan="2" align="center">Not active up to 7.53 &#xd7; 10<sup>&#x2212;5</sup>&#xa0;M</td>
<td align="center">1.70 &#xd7; 10<sup>&#x2212;5</sup>
</td>
<td align="center">11.6</td>
<td align="center">2.80 &#xd7; 10<sup>&#x2212;6</sup>
</td>
<td align="center">11.5</td>
</tr>
<tr>
<td align="left">Warfarin</td>
<td align="center">2.17 &#xd7; 10<sup>&#x2212;4</sup>
</td>
<td align="center">17.1</td>
<td align="center">1.15 &#xd7; 10<sup>&#x2212;4</sup>
</td>
<td align="center">14.9</td>
<td align="center">6.99 &#xd7; 10<sup>&#x2212;6</sup>
</td>
<td align="center">11.3</td>
<td align="center">4.30 &#xd7; 10<sup>&#x2212;7</sup>
</td>
<td align="center">16.0</td>
</tr>
<tr>
<td align="left">Telmisartan</td>
<td align="center">1.84 &#xd7; 10<sup>&#x2212;5</sup>
</td>
<td align="center">6.3</td>
<td align="center">1.74 &#xd7; 10<sup>&#x2212;6</sup>
</td>
<td align="center">7.8</td>
<td align="center">2.96 &#xd7; 10<sup>&#x2212;7</sup>
</td>
<td align="center">11.7</td>
<td align="center">2.36 &#xd7; 10<sup>&#x2212;8</sup>
</td>
<td align="center">16.5</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>For neutral hydrophilic chemicals (lamotrigine and caffeine), the difference between the nominal and freely dissolved effect concentrations determined was less than a factor of 1.3, as these do not bind strongly to proteins or lipids of the assay medium (<xref ref-type="bibr" rid="B9">Henneberger et al., 2019b</xref>). For most of the acidic chemicals (diclofenac, naproxen, warfarin, and torasemide), the deviation between the IC<sub>10</sub> and IC<sub>10,free</sub> was also less than a factor of 2, but for the EC<sub>10</sub> and EC<sub>10,free</sub>, the deviation was much higher (up to a factor of 30). This difference is caused by the non-linear binding of acidic chemicals to medium proteins, resulting in higher binding affinity and consequently a lower free fraction of the chemical at low concentrations (<xref ref-type="bibr" rid="B7">Henneberger et al., 2019a</xref>; <xref ref-type="bibr" rid="B18">Qin et al., 2023</xref>).</p>
<p>To test the applicability of the developed SPME method for the determination of freely dissolved effect concentrations for bioassays run in 384-well plates, the effect concentrations determined in the present study (freely dissolved and nominal) were compared with those from a previous study using 96-well plates (<xref ref-type="bibr" rid="B12">Huchthausen et al., 2020</xref>) (<xref ref-type="table" rid="T3">Table 3</xref>).</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Nominal and freely dissolved effect concentrations of the test chemicals as measured in experiments conducted in 96-well plates plates [Adapted with permission from <xref ref-type="bibr" rid="B12">Huchthausen et al. (2020)</xref>. Copyright (2020) American Chemical Society]. IC<sub>10,nom</sub> or IC<sub>10,free</sub>: Nominal or freely dissolved concentration leading to a cytotoxicity of 10%. EC<sub>10,nom</sub> or EC<sub>10,free</sub>: Nominal concentration leading to 10% of the maximum effect. CV: Coefficient of variation.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center"/>
<th colspan="4" align="center">Cytotoxicity</th>
<th colspan="4" align="center">PPAR&#x3b3; activation</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<bold>Chemical</bold>
</td>
<td align="center">
<bold>IC</bold>
<sub>
<bold>10,nom</bold>
</sub> <bold>[M]</bold>
</td>
<td align="center">
<bold>CV [%]</bold>
</td>
<td align="center">
<bold>IC</bold>
<sub>
<bold>10,free</bold>
</sub> <bold>[M]</bold>
</td>
<td align="center">
<bold>CV [%]</bold>
</td>
<td align="center">
<bold>EC</bold>
<sub>
<bold>10,nom</bold>
</sub> <bold>[M]</bold>
</td>
<td align="center">
<bold>CV [%]</bold>
</td>
<td align="center">
<bold>EC</bold>
<sub>
<bold>10,free</bold>
</sub> <bold>[M]</bold>
</td>
<td align="center">
<bold>CV [%]</bold>
</td>
</tr>
<tr>
<td align="left">Caffeine</td>
<td align="center">2.44 &#xd7; 10<sup>&#x2212;3</sup>
</td>
<td align="center">18.2</td>
<td align="center">1.84 &#xd7; 10<sup>&#x2212;3</sup>
</td>
<td align="center">13.7</td>
<td align="center">3.48 &#xd7; 10<sup>&#x2212;4</sup>
</td>
<td align="center">6.6</td>
<td align="center">2.89 &#xd7; 10<sup>&#x2212;4</sup>
</td>
<td align="center">8.9</td>
</tr>
<tr>
<td align="left">Lamotrigine</td>
<td align="center">4.39 &#xd7; 10<sup>&#x2212;4</sup>
</td>
<td align="center">13.8</td>
<td align="center">3.82 &#xd7; 10<sup>&#x2212;4</sup>
</td>
<td align="center">15.6</td>
<td align="center">1.02 &#xd7; 10<sup>&#x2212;4</sup>
</td>
<td align="center">10.5</td>
<td align="center">9.81 &#xd7; 10<sup>&#x2212;5</sup>
</td>
<td align="center">10.7</td>
</tr>
<tr>
<td align="left">Diclofenac</td>
<td colspan="4" align="center">Cytotoxicity oberced, but &#x003C;10%</td>
<td align="center">2.12 &#xd7; 10<sup>&#x2212;6</sup>
</td>
<td align="center">11.0</td>
<td align="center">2.75 &#xd7; 10<sup>&#x2212;7</sup>
</td>
<td align="center">10.4</td>
</tr>
<tr>
<td align="left">2,4-D</td>
<td colspan="2" align="center">Not active up to 4.64 &#xd7; 10<sup>&#x2212;4</sup>&#xa0;M</td>
<td colspan="2" align="center">Not active up to 2.19 &#xd7; 10<sup>&#x2212;4</sup>&#xa0;M</td>
<td align="center">4.92 &#xd7; 10<sup>&#x2212;5</sup>
</td>
<td align="center">3.1</td>
<td align="center">2.28 &#xd7; 10<sup>&#x2212;5</sup>
</td>
<td align="center">4.3</td>
</tr>
<tr>
<td align="left">Naproxen</td>
<td colspan="2" align="center">Not active up to 3.86 &#xd7; 10<sup>&#x2212;4</sup>&#xa0;M</td>
<td colspan="2" align="center">Not active up to 3.27 &#xd7; 10<sup>&#x2212;4</sup>&#xa0;M</td>
<td align="center">1.77 &#xd7; 10<sup>&#x2212;5</sup>
</td>
<td align="center">4.2</td>
<td align="center">4.62 &#xd7; 10<sup>&#x2212;6</sup>
</td>
<td align="center">5.3</td>
</tr>
<tr>
<td align="left">Ibuprofen</td>
<td align="center">3.16 &#xd7; 10<sup>&#x2212;4</sup>
</td>
<td align="center">15.7</td>
<td align="center">1.50 &#xd7; 10<sup>&#x2212;4</sup>
</td>
<td align="center">11.1</td>
<td align="center">5.46 &#xd7; 10<sup>&#x2212;6</sup>
</td>
<td align="center">9.1</td>
<td align="center">8.78 &#xd7; 10<sup>&#x2212;7</sup>
</td>
<td align="center">11.1</td>
</tr>
<tr>
<td align="left">Torasemide</td>
<td align="center">1.84 &#xd7; 10<sup>&#x2212;4</sup>
</td>
<td align="center">7.7</td>
<td align="center">7.19 &#xd7; 10<sup>&#x2212;6</sup>
</td>
<td align="center">6.7</td>
<td align="center">5.19 &#xd7; 10<sup>&#x2212;5</sup>
</td>
<td align="center">8.1</td>
<td align="center">2.12 &#xd7; 10<sup>&#x2212;6</sup>
</td>
<td align="center">8.3</td>
</tr>
<tr>
<td align="left">Warfarin</td>
<td align="center">2.42 &#xd7; 10<sup>&#x2212;4</sup>
</td>
<td align="center">10.5</td>
<td align="center">1.04 &#xd7; 10<sup>&#x2212;4</sup>
</td>
<td align="center">15.2</td>
<td align="center">4.01 &#xd7; 10<sup>&#x2212;6</sup>
</td>
<td align="center">5.2</td>
<td align="center">3.67 &#xd7; 10<sup>&#x2212;7</sup>
</td>
<td align="center">10.6</td>
</tr>
<tr>
<td align="left">Telmisartan</td>
<td align="center">2.37 &#xd7; 10<sup>&#x2212;5</sup>
</td>
<td align="center">12.4</td>
<td align="center">6.32 &#xd7; 10<sup>&#x2212;6</sup>
</td>
<td align="center">12.5</td>
<td align="center">1.67 &#xd7; 10<sup>&#x2212;7</sup>
</td>
<td align="center">9.6</td>
<td align="center">2.58 &#xd7; 10<sup>&#x2212;8</sup>
</td>
<td align="center">33.4</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>All IC<sub>10</sub> values determined in 384-well plates differed by less than a factor of 2 from the IC<sub>10</sub> values determined in 96-well plates. However, not all chemicals showed cytotoxicity in both plate formats. Naproxen was non-cytotoxic up to a concentration of 3.86&#xa0;&#xd7;&#xa0;10<sup>&#x2212;4</sup>&#xa0;M in both plate types; torasemide had an IC<sub>10</sub> value of 1.84 &#xd7; 10<sup>&#x2212;4</sup>&#xa0;M in 96-well plates but did not show cytotoxicity up to 3.75 &#xd7; 10<sup>&#x2212;4</sup>&#xa0;M in 384-well plates; and no IC<sub>10</sub> value could be measured for 2,4-D or diclofenac in 96-well plates, but their IC<sub>10</sub> values were 1.60 &#xd7; 10<sup>&#x2212;4</sup>&#xa0;M and 4.99 &#xd7; 10<sup>&#x2212;5</sup>&#xa0;M, respectively, in 384-well plates. The EC<sub>10</sub> values measured in 384- and 96-well plates also deviated from one another by less than a factor of 2, with the exception of torasemide, for which the EC<sub>10</sub> value deviated by a factor of 3 (<xref ref-type="fig" rid="F1">Figure 1</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Comparison of <bold>(A)</bold> logarithmic nominal effect concentrations (log IC<sub>10</sub> or log EC<sub>10</sub>) and <bold>(B)</bold> logarithmic freely dissolved effect concentrations (log IC<sub>10,free</sub> or log EC<sub>10,free</sub>) as determined in 96- and 384-well plates. The IC<sub>10</sub> and EC<sub>10</sub> values and IC<sub>10,free</sub> and EC<sub>10,free</sub> values for 96-well plates have been previously published (<xref ref-type="bibr" rid="B12">Huchthausen et al., 2020</xref>). The black solid line indicates a 1:1 correlation between the values; the black dashed lines indicate deviations from this by a factor of 10. Error bars indicate the standard deviation of the effect concentration values, but are often smaller than the size of the data points.</p>
</caption>
<graphic xlink:href="ftox-05-1221625-g001.tif"/>
</fig>
<p>The IC<sub>10,free</sub> and EC<sub>10,free</sub> values determined in the present study were also consistent with our previous results from 96-well plates (<xref ref-type="bibr" rid="B12">Huchthausen et al., 2020</xref>). The IC<sub>10,free</sub> values for warfarin, ibuprofen, lamotrigine, and caffeine determined based on 30&#xa0;&#xb5;L aliquots from 384-well plates differed by less than a factor of 2 from the concentrations determined based on 180&#xa0;&#xb5;L aliquots from 96-well plates (<xref ref-type="bibr" rid="B12">Huchthausen et al., 2020</xref>). For telmisartan, the ratio between the determined IC<sub>10,free</sub> values was slightly higher, with deviation by a factor of 4. EC<sub>10,free</sub> values determined in each of the two well plate formats were also within a factor of 2 for most of the chemicals, with the exceptions of 2,4-D (whose values deviated by a factor of 4.4) and naproxen, which showed the highest deviation with a factor of 6.5. The higher deviations seen in the case of EC<sub>10,free</sub> values compared to IC<sub>10,free</sub> values could have been caused by higher measurement errors in the LC-MS/MS analysis at low concentrations, since the EC<sub>10,free</sub> values were often orders of magnitude lower than the IC<sub>10,free</sub> values. Specifically, naproxen is highly bound to proteins at low concentrations, leading to freely dissolved concentrations close to the limit of quantification (<xref ref-type="bibr" rid="B7">Henneberger et al., 2019a</xref>).</p>
<p>Comparing the relative standard deviations of the effect concentrations, it is noticeable that the coefficient of variation was generally higher in the case of 384-well plate measurements for both nominal and freely dissolved effect concentrations (<xref ref-type="table" rid="T2">Table 2</xref>; <xref ref-type="table" rid="T3">Table 3</xref>). This may have been caused by experimental inaccuracies due to the lower sample volume.</p>
<p>Additionally, an unpaired <italic>t</italic>-test was performed for a more detailed comparison of nominal and freely dissolved effect concentrations obtained using both plate formats (<xref ref-type="sec" rid="s10">Supplementary Data Sheet 1: Figure S2</xref>; <xref ref-type="sec" rid="s10">Supplementary Table S4</xref>). This <italic>t</italic>-test indicated that there was no significant difference between the plate formats (<italic>p</italic>-value &#x3e;0.05) for the majority of effect concentrations, both nominal and freely dissolved. There was a significant difference between the effect concentrations measured in 96- and 384-well plates for torasemide and warfarin (nominal concentration); diclofenac, naproxen, and ibuprofen (freely dissolved concentration); and lamotrigine and telmisartan (both measures). However, the difference between the two plate formats was not highly significant for most of the chemicals and effect concentrations, with the exception of telmisartan. These differences might therefore have been caused by variations in the bioassay setup and by biological variability.</p>
</sec>
<sec sec-type="discussion" id="s4">
<title>4 Conclusion</title>
<p>Measurement of freely dissolved effect concentrations is necessary for quantitative <italic>in vitro</italic>-to-<italic>in vivo</italic> extrapolation (QIVIVE) and to increase the relevance of <italic>in vitro</italic> tests for risk assessment (<xref ref-type="bibr" rid="B22">Villeneuve et al., 2019</xref>). For several test chemicals examined in the present study and in our previous publication, measurement of <italic>C</italic>
<sub>free</sub> at all dosed concentrations was found to be the best method of deriving the freely dissolved effect concentration (<xref ref-type="bibr" rid="B12">Huchthausen et al., 2020</xref>), given that non-linear sorption isotherms are only available for a small number of chemicals and currently available <italic>in vitro</italic> exposure models are not applicable if the chemical concentration decreases over time.</p>
<p>The results of the present study show that the previously developed SPME method can also be applied to sample volumes as small as 30&#xa0;&#xb5;L from 384-well plates without changing the assay workflow or reducing sample throughput. Through the use of 384-well plates, sample throughput can be quadrupled compared to 96-well plates, making these results the first step in the development of a high-throughput SPME method for the determination of <italic>C</italic>
<sub>free</sub> in bioassay medium aliquots. The advantages of the SPME method over more conventional methods, such as rapid equilibrium dialysis (RED), are the plastic-free system and the use of samples without dilution. The next step will be to automate the SPME method, because the high number of samples resulting from the use of 384-well plates cannot easily be handled manually. Automation could significantly speed up concentration measurement, so that the throughput of the chemical analysis would become similar to the throughput of the bioassays. We recently developed an automated SPME workflow using a Supel&#x2122; BioSPME 96-Pin Device (Supelco); however, the method is still limited to comparably high sample volumes (600&#xa0;&#xb5;L) in 96 deep-well plates (<xref ref-type="bibr" rid="B11">Huchthausen et al., 2022</xref>).</p>
<p>In summary, we have demonstrated that the previously published method for concentration measurements in 96-well plates is applicable for high-throughput assays conducted in 384-well plates without modification of the assay procedure. <italic>C</italic>
<sub>free</sub> can be determined from small medium aliquots as low as 30&#xa0;&#xb5;L in parallel to the assay to provide nominal effect concentrations and freely dissolved effect concentrations for QIVIVE. The validation conducted in this proof-of-principle study was only performed in one bioassay with a small number of chemicals. For a complete validation, the comparison of a wide range of chemicals with diverse physicochemical properties and in different assays using media with different FBS contents is necessary. However, by establishing and automating this method, exposure assessment can be simplified, and more meaningful toxicity data can be generated on a routine basis.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="sec" rid="s10">Supplementary Material</xref>; further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s6">
<title>Author contributions</title>
<p>JH is the first author of the submitted manuscript. She conducted the experiments, evaluated the data, prepared the figures and tables, and wrote the manuscript. MK conducted the <italic>in vitro</italic> bioassay and reviewed the manuscript. BE conceptualized the experiments, supervised the work, and reviewed the manuscript. LH is the last author of the work. She conceptualized and designed the experiments, supervised the work, and reviewed the manuscript. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec id="s7">
<title>Funding</title>
<p>This study was supported by the CEFIC Long-Range Research Initiative (LRI), project ECO36.</p>
</sec>
<ack>
<p>We would like to thank Sophia M&#xe4;lzer for supporting the SPME experiments. We also gratefully acknowledge funding of access to the platform CITEPro (Chemicals in the Terrestrial Environment Profiler) by the Helmholtz Association.</p>
</ack>
<sec sec-type="COI-statement" id="s8">
<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 sec-type="disclaimer" id="s9">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors, and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="s10">
<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/ftox.2023.1221625/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/ftox.2023.1221625/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.PDF" id="SM1" mimetype="application/PDF" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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