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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mol. Biosci.</journal-id>
<journal-title>Frontiers in Molecular Biosciences</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mol. Biosci.</abbrev-journal-title>
<issn pub-type="epub">2296-889X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">897935</article-id>
<article-id pub-id-type="doi">10.3389/fmolb.2022.897935</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Molecular Biosciences</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Interpretation of the Genotype by Tissue Interactions of Four Genes (AFP1, CIRP, YB-1, and HMGB1) in <italic>Takifugu rubripes</italic> Under Different Low-Temperature Conditions</article-title>
<alt-title alt-title-type="left-running-head">Wang et al.</alt-title>
<alt-title alt-title-type="right-running-head">Genotype and Tissue Interactions</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Xinan</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="fn" rid="fn1">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1127244/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Zhifeng</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="fn" rid="fn1">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1782730/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Ma</surname>
<given-names>Aijun</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="corresp" rid="c001">&#x2a;</xref>
<xref ref-type="fn" rid="fn1">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1864637/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Yellow Sea Fisheries Research Institute</institution>, <institution>Chinese Academy of Fishery Sciences</institution>, <addr-line>Qingdao</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Laboratory for Marine Biology and Biotechnology</institution>, <institution>Qingdao National Laboratory for Marine Science and Technology</institution>, <addr-line>Qingdao</addr-line>, <country>China</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/124952/overview">Qian Han</ext-link>, Hainan University, China</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/1759696/overview">Edna Regina Amante</ext-link>, Federal University of Par&#xe1;, Brazil</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/191452/overview">Hans-Peter Piepho</ext-link>, University of Hohenheim, Germany</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Aijun Ma, <email>maaj@ysfri.ac.cn</email>
</corresp>
<fn fn-type="equal" id="fn1">
<label>
<sup>&#x2020;</sup>
</label>
<p>These authors have contributed equally to this work and share first authorship</p>
</fn>
<fn fn-type="other">
<p>This article was submitted to Protein Biochemistry for Basic and Applied Sciences, a section of the journal Frontiers in Molecular Biosciences</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>30</day>
<month>06</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>9</volume>
<elocation-id>897935</elocation-id>
<history>
<date date-type="received">
<day>16</day>
<month>03</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>08</day>
<month>06</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Wang, Liu and Ma.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Wang, Liu and Ma</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>
<bold>Background:</bold> The differential expression of the same gene in different tissues could be due to the genotype effect, tissue effect, and/or genotype &#xd7; tissue interactions. However, the genetic mechanisms responsible for this differential expression have not been reported to date.</p>
<p>
<bold>Methods:</bold> Four resistance genes to low temperature, the genes for antifreeze protein (AFP), cold induced RNA binding protein (CIRP), high mobility group protein box-1 (HMGB1), and Y-box binding protein (YB-1), were measured by PCR in the liver, spleen, kidney, brain, heart, intestine, muscle, gonad, and skin of <italic>Takifugu rubripes</italic> cultured under different temperature conditions (18, 13, 8, and 5&#xb0;C). Split-split-plot analysis of variance, additive main effects and multiplicative interaction (AMMI) and genotype main effects and genotype &#xd7; environment interaction (GGE) biplot analysis were used to evaluate the effects of genotype &#xd7; tissue interactions on gene expression.</p>
<p>
<bold>Results:</bold> The results of split-split-plot analysis of variance showed that water temperature has a significant effect on the expression of <italic>T. rubripes</italic> cold resistant genes, while tissue &#xd7; gene interaction has a highly significant effect on it. AMMI analysis showed that the contributions of genotype, tissue, and genotype &#xd7; tissue interactions to the total variation in gene expression followed two trends: 1) as temperature decreased, the gene effect increased gradually and the genotype &#xd7; tissue interaction decreased gradually; 2) the gene effect at 18 and 13&#xb0;C was significantly lower than that at 8 and 5&#xb0;C, while the interaction at 18 and 13&#xb0;C was significantly higher than that at 8 and 5&#xb0;C. GGE analysis showed that: at all temperatures except 8&#xb0;C, the expression rankings of all four genes were highly positively correlated in all tissues except muscle; the expression stability of the genes was the same at 18&#xb0;C/13&#xb0;C and at 8&#xb0;C/5&#xb0;C; and AFP1 showed the best expression and stability among the four genes.</p>
<p>
<bold>Conclusion:</bold> 8&#xb0;C/5&#xb0;C as the suitable temperature for such experiments for <italic>T. rubripes</italic>. Among the four antifreeze genes evaluated in this study, AFP1 had the best expression and stability.</p>
</abstract>
<kwd-group>
<kwd>genotype</kwd>
<kwd>tissue</kwd>
<kwd>interactions</kwd>
<kwd>Takifugu rubripes</kwd>
<kwd>resistance genes to low temperature</kwd>
</kwd-group>
<contract-sponsor id="cn001">Ministry of Science and Technology of the People&#x2019;s Republic of China<named-content content-type="fundref-id">10.13039/501100002855</named-content>
</contract-sponsor>
<contract-sponsor id="cn002">Ministry of Agriculture and Rural Affairs of the People&#x2019;s Republic of China<named-content content-type="fundref-id">10.13039/501100011798</named-content>
</contract-sponsor>
<contract-sponsor id="cn003">Department of Science and Technology of Shandong Province<named-content content-type="fundref-id">10.13039/100012905</named-content>
</contract-sponsor>
<contract-sponsor id="cn004">Chinese Academy of Fishery Sciences<named-content content-type="fundref-id">10.13039/501100005906</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Water temperature plays an important role in the growth and reproduction of aquatic animals. Water temperature that is too low leads to weakened fish activity and decreased levels of neurohormone secretion and digestive enzyme activity, resulting in the reduction of growth performance and even death (<xref ref-type="bibr" rid="B1">Abdel-Tawwab and Wafeek, 2014</xref>; <xref ref-type="bibr" rid="B35">Wen et al., 2017</xref>; <xref ref-type="bibr" rid="B15">Islam et al., 2019</xref>; <xref ref-type="bibr" rid="B16">Islam et al., 2020</xref>). The suitable growth temperature of the warm-water fish <italic>Takifugu rubripes</italic> is 16&#x2013;25 &#xb0;C, and colder water temperatures in winter seriously affect its growth performance. At present, heating the water of indoor tanks is usually used to solve this problem, but it is expensive and not environmentally friendly. Therefore, studying the molecular mechanisms involved in cold adaptation of <italic>T. rubripes</italic> and cultivating cold-resistant varieties is an alternative approach.</p>
<p>Studies of the mechanisms of cold tolerance of fish have been increasing since the 1960s. With the continuous development of molecular biology techniques, numerous genes related to cold tolerance have been discovered and applied to practical production. Antifreeze proteins (AFPs) were first found in polar marine organisms, and later studies reported that they are widespread in fish, plants, insects, bacteria, and fungi (<xref ref-type="bibr" rid="B9">Duman and Olsen, 1993</xref>; <xref ref-type="bibr" rid="B8">Cui et al., 2019</xref>; <xref ref-type="bibr" rid="B38">Xu et al., 2019</xref>; <xref ref-type="bibr" rid="B44">Zhang et al., 2020</xref>). AFPs are adsorbed onto the surface of ice crystals, where they inhibit the growth rate of ice crystals and reduce the freezing point of water molecules, thereby conferring cold resistance (<xref ref-type="bibr" rid="B28">Raymond and DeVries, 1977</xref>; <xref ref-type="bibr" rid="B34">Wang et al., 2012</xref>). Numerous studies of AFPs in fish have also been conducted (<xref ref-type="bibr" rid="B13">Hew et al., 1999</xref>; <xref ref-type="bibr" rid="B45">Zhong and Fan, 2002</xref>; <xref ref-type="bibr" rid="B5">Cai L. Y. et al., 2018</xref>). Early studies reported that cold-induced RNA binding protein (CIRP) was closely related to hypothermia stimulation, and its expression increased significantly with decreasing temperature (<xref ref-type="bibr" rid="B25">Nishiyama et al., 1997</xref>). In a low temperature environment, CIRP slows down the rate of apoptosis by inhibiting cell division and reducing the demand for nutrients, and it coordinates the transcription and translation of multiple genes (<xref ref-type="bibr" rid="B3">Al-Fageeh and Smales, 2006</xref>). In recent years, researchers have found that CIRP is involved in the response to low temperature stress in some fish (<xref ref-type="bibr" rid="B14">Hu et al., 2015</xref>; <xref ref-type="bibr" rid="B24">Miao et al., 2017</xref>; <xref ref-type="bibr" rid="B37">Xu et al., 2018</xref>). High speed migration protein family protein (HMGB1), which is ubiquitous in eukaryotes and highly conservative, participates in DNA transcription, recombination, and repair (<xref ref-type="bibr" rid="B19">Lange and Vasquez, 2009</xref>), and it regulates the expression of some genes related to low temperature (<xref ref-type="bibr" rid="B33">Vornanen et al., 2005</xref>). Y-box binding protein 1 (YB-1) is a highly conserved protein that widely exists in bacteria, plants, and vertebrates (<xref ref-type="bibr" rid="B31">Swamynathan et al., 1998</xref>). Its conserved region can not only bind to DNA and RNA, but it also can bind to other proteins that interact with transcription factors, thereby affecting the expression and regulation of related genes. It is a very important protein in the process of body regulation (<xref ref-type="bibr" rid="B18">Kloks et al., 2002</xref>; <xref ref-type="bibr" rid="B10">Eliseeva et al., 2011</xref>). As a stress response gene, YB-1 responds to a variety of stresses in different species (<xref ref-type="bibr" rid="B27">Rauen et al., 2016</xref>; <xref ref-type="bibr" rid="B20">Li et al., 2018</xref>). Several previous studies of HMGB1 and YB-1 have focused on fish immunity (<xref ref-type="bibr" rid="B4">Cai et al., 2014</xref>; <xref ref-type="bibr" rid="B36">Xie et al., 2014</xref>; <xref ref-type="bibr" rid="B6">Cai X. et al., 2018</xref>; <xref ref-type="bibr" rid="B12">He et al., 2019</xref>).</p>
<p>The same gene often shows different expression in different tissues in the same organism. This has been reported in livestock (<xref ref-type="bibr" rid="B29">Schwerin et al., 1999</xref>; <xref ref-type="bibr" rid="B7">Chen et al., 2011</xref>; <xref ref-type="bibr" rid="B2">Ahmadi et al., 2020</xref>; <xref ref-type="bibr" rid="B21">Li et al., 2020</xref>), plants (<xref ref-type="bibr" rid="B23">Ling et al., 2018</xref>), fish (<xref ref-type="bibr" rid="B22">Li et al., 2008</xref>; <xref ref-type="bibr" rid="B30">Sun, 2017</xref>; <xref ref-type="bibr" rid="B43">Yu et al., 2017</xref>), and even humans (<xref ref-type="bibr" rid="B17">Karges et al., 1994</xref>). To study the mechanism of low temperature tolerance of <italic>T. rubripes</italic>, <xref ref-type="bibr" rid="B30">Sun (2017)</xref> used quantitative real-time PCR to analyze the expression of AFP, CIRP, HMGB1, and YB-1 in the liver, spleen, kidney, brain, heart, intestine, muscle, gonad, and skin of fish cultured under different temperature conditions (18, 13, 8, and 5&#xb0;C). They reported that the expression levels of the four genes differed among tissues and temperatures. The differential expression of the same gene in different tissues could be due to the genotype effect, tissue effect, and/or genotype &#xd7; tissue interactions. However, the genetic mechanisms responsible for this differential expression have not been reported to date.</p>
<p>In this study, an additive main effects and multiplicative interaction (AMMI) (<xref ref-type="bibr" rid="B11">Gollob, 1968</xref>) and genotype main effects and genotype &#xd7; environment interaction (GGE) biplot analysis (<xref ref-type="bibr" rid="B41">Yan and Kang, 2003</xref>) was used to analyze genotype &#xd7; tissue interactions affecting expression of the AFP1, CIRP, YB-1, and HMGB1 genes in <italic>T. rubripes</italic> cultured under different low temperature conditions. The purpose of this study was to identify the genetic mechanisms at work for the four genes in different tissues in <italic>T. rubripes</italic> under different low temperature conditions in order to provide a reference for formulating a breeding plan to cultivate cold-resistant varieties of <italic>T. rubripes</italic>.</p>
</sec>
<sec id="s2">
<title>2 Materials and Methods</title>
<sec id="s2-1">
<title>2.1 Experimental Materials</title>
<p>The experimental <italic>T. rubripes</italic> came from Tianzheng Industrial Company Limited, Dalian, China. We selected 360 young fish (body length 15 &#xb1; 0.5&#xa0;cm) with strong physique, no damage, and good vitality, and cultured them for 2 weeks in 12 experimental barrels (500&#xa0;L, each containing 30 fish) equipped with static water aeration. The water was changed once per day.</p>
<p>For the experiment, four temperatures (18, 13, 8, and 5&#xb0;C) were set, with triplicate barrels for each temperature. After the temporary cultivation, we used acute water exchange and cooling to bring the barrels to the correct temperature. While discharging the seawater, seawater previously adjusted to the experimental temperature was added until the temperature reached the target temperature. Yameiguang 411-H titanium heaters (GermayHeater Co., Ltd., Hefei, Anhui, China) were used to control the temperature, and water temperature readings were taken every 2&#xa0;h. The fish were not fed during the experiment, and the experiment ended after 24&#xa0;h of stress. Three fish were taken from each breeding barrel. After being anesthetized with 200&#xa0;mg/L of MS222 (tricaine methane sulfonate) (Maya Reagent, China), each fish was dissected on ice to obtain the liver, spleen, kidney, brain, heart, intestine, muscle, skin, and gonad. Tissues were immersed in 10 times the volume of RNA preservation solution (Tiangen Biotech Co., Ltd., Beijing, China) and stored at &#x2013;80&#xb0;C after storage at 4&#xb0;C for 24&#xa0;h. Yellow Sea Fisheries Research Institute, CAFS ethics committee approved the study (Decision no: YSFRI-2021023).</p>
</sec>
<sec id="s2-2">
<title>2.2 Extraction of Total RNA and Construction of the cDNA Library</title>
<p>Total RNA extraction kits (Tiangen Biotech Co., Ltd., Beijing, China) were used to extract RNA. Agarose gel electrophoresis was used to evaluate RNA quality, and UV spectrophotometry was used to detect the concentration of RNA. We used 1&#xa0;&#xb5;g of total RNA to synthesize the first strand cDNA according to the instructions of the transcript reverse transcription kit (Tiangen Biotech Co., Ltd., Beijing, China), and we froze the product at &#x2013;80&#xb0;C for use in the next experiment.</p>
</sec>
<sec id="s2-3">
<title>2.3 Real Time Fluorescence Quantitative PCR (RT-qPCR)</title>
<p>We used RT-qPCR to detect the expression of the four target genes and the reference gene (&#x3b2;-actin). Quantitative primers were designed using primer express 3.0 and synthesized by Sangon Biotech Co., Ltd. (Shanghai, China). The primer sequences are shown in <xref ref-type="table" rid="T1">Table 1</xref>. The 20&#xa0;&#xb5;L reaction volume contained the following: 10&#xa0;&#xb5;L of 2 &#xd7; SuperReal PreMix Plus, 0.4&#xa0;&#xb5;L of 50 &#xd7; ROX Reference Dye, 7.4&#xa0;&#xb5;L of RNase-Free ddH2O, 0.6&#xa0;&#xb5;L of each primer (upstream primer F and downstream primer R), and 1&#xa0;&#xb5;L of CDNA template. The RT-qPCR reaction was carried out on the ABI StepOnePlus platform (Applied Biosystems, Shanghai, China). The PCR reaction procedure was pre-denaturation at 94 &#xb0;C for 30&#xa0;s followed by two-step PCR (94&#xb0;C for 5 s, 60&#xb0;C for 30 s, 40 cycles). After the reaction, the dissolution curve was drawn to ensure the specificity and accuracy of amplification.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Primers of AFP, CIRP, HMGB1, YB-1, and &#x3b2;-actin used for RT-qPCR.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Primer Name</th>
<th align="center">Primer Sequence (5&#x2032;-3&#x2032;)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">&#x3b2;-actin F</td>
<td align="left">ATC&#x200b;GTT&#x200b;GGT&#x200b;CGC&#x200b;CCC&#x200b;AGG&#x200b;CAC&#x200b;C</td>
</tr>
<tr>
<td align="left">&#x3b2;-actin R</td>
<td align="left">CTC&#x200b;CTT&#x200b;GAT&#x200b;GTC&#x200b;AGC&#x200b;ACG&#x200b;ATT&#x200b;TC</td>
</tr>
<tr>
<td align="left">AFP-F</td>
<td align="left">TCA&#x200b;CGA&#x200b;ACG&#x200b;GAG&#x200b;GTC&#x200b;TTT&#x200b;CT</td>
</tr>
<tr>
<td align="left">AFP-R</td>
<td align="left">TGC&#x200b;CAC&#x200b;TTG&#x200b;TTT&#x200b;GGC&#x200b;TTG&#x200b;TA</td>
</tr>
<tr>
<td align="left">CIRP-F</td>
<td align="left">ATG&#x200b;GCG&#x200b;ACA&#x200b;GGA&#x200b;GTT&#x200b;ATG&#x200b;GT</td>
</tr>
<tr>
<td align="left">CIRP-R</td>
<td align="left">GTT&#x200b;CGT&#x200b;ATC&#x200b;CAC&#x200b;CCT&#x200b;GCA&#x200b;TC</td>
</tr>
<tr>
<td align="left">HMGB1-F</td>
<td align="left">GAC&#x200b;AAG&#x200b;GAC&#x200b;ATC&#x200b;GTT&#x200b;GCG&#x200b;TA</td>
</tr>
<tr>
<td align="left">HMGB1-R</td>
<td align="left">ATC&#x200b;CTC&#x200b;GTC&#x200b;GTC&#x200b;ATC&#x200b;GTC&#x200b;TT</td>
</tr>
<tr>
<td align="left">YB-1-F</td>
<td align="left">AGA&#x200b;GGC&#x200b;TTC&#x200b;CGA&#x200b;CCA&#x200b;AGA&#x200b;TT</td>
</tr>
<tr>
<td align="left">YB-1-R</td>
<td align="left">GTT&#x200b;GGT&#x200b;TCT&#x200b;GAC&#x200b;CAC&#x200b;CTT&#x200b;CG</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-4">
<title>2.4 Data Processing</title>
<p>The expression patterns of the four genes in the nine tissues were analyzed using the 2<sup>&#x2013;&#x394;&#x394;Ct</sup> method with &#x3b2;-actin as the reference gene.</p>
</sec>
<sec id="s2-5">
<title>2.5 Data Analysis</title>
<sec id="s2-5-1">
<title>2.5.1 Split-Split-Plot Analysis of Variance</title>
<p>Refer to <xref ref-type="bibr" rid="B26">Piepho and Edmondson (2018)</xref>, this experiment was laid out as a split-split-plot design, with temperature as the main-plot factor with the four temperature gradients (18, 13, 8, and 5&#xb0;C) assigned to four main plots in each of three complete replicate blocks, tissue as the sub-plot (or split-plot) factor with the nine tissues (liver, spleen, kidney, brain, heart, intestine, muscle, gonad, and skin) assigned to nine sub-plots within each main plot and cold resistant genes as the sub-sub-plot (or split-split-plot) factor with the four cold resistant genes (AFP1, CIRP, YB-1, and HMGB1) assigned to individual sub-sub-plots within each sub-plot. The split-split-plot analysis model is written according <xref ref-type="disp-formula" rid="e1">Eq 1</xref>.<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>j</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3bc;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>b</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>g</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>j</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>where <inline-formula id="inf1">
<mml:math id="m2">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>j</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the expression of the <italic>i</italic>th temperature treatment for the <italic>h</italic>th tissue and <italic>j</italic>th cold resistant gene in the <italic>k</italic>th complete block, <inline-formula id="inf2">
<mml:math id="m3">
<mml:mi>&#x3bc;</mml:mi>
</mml:math>
</inline-formula> is a general intercept, <inline-formula id="inf3">
<mml:math id="m4">
<mml:mrow>
<mml:msub>
<mml:mi>b</mml:mi>
<mml:mi>k</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the effect of the <italic>k</italic>th block, <inline-formula id="inf4">
<mml:math id="m5">
<mml:mrow>
<mml:msub>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the <italic>ihj</italic>-th treatment effect, <inline-formula id="inf5">
<mml:math id="m6">
<mml:mrow>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the main-plot error associated with the <italic>k</italic>th block and <italic>i</italic>th temperature gradient, assumed to be random with zero mean and variance <inline-formula id="inf6">
<mml:math id="m7">
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>f</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf7">
<mml:math id="m8">
<mml:mrow>
<mml:msub>
<mml:mi>g</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the sub-plot error associated with the <italic>k</italic>th block, <italic>i</italic>th temperature and <italic>h</italic>th tissue, assumed to be random with zero mean and variance <inline-formula id="inf8">
<mml:math id="m9">
<mml:mrow>
<mml:msubsup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mi>g</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf9">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>j</mml:mi>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is a residual sub-sub-plot error with zero mean and variance <inline-formula id="inf10">
<mml:math id="m11">
<mml:mrow>
<mml:msup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
</sec>
<sec id="s2-5-2">
<title>2.5.2 AMMI Analysis</title>
<p>The AMMI model for the <italic>g</italic>th genotype (AFP1, CIRP, YB-1, and HMGB1) in the <italic>e</italic>th tissue (brain, heart, intestine, kidney, liver, muscle, spleen, skin, and gonad) is written according <xref ref-type="disp-formula" rid="e2">Eq 2</xref>.<disp-formula id="e2">
<mml:math id="m12">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3bc;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>g</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:msubsup>
<mml:mrow>
<mml:msub>
<mml:mi>&#x3bb;</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mstyle>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b8;</mml:mi>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where <inline-formula id="inf11">
<mml:math id="m13">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the expression of the four genotypes <italic>g</italic> in tissue <italic>e</italic>; <inline-formula id="inf12">
<mml:math id="m14">
<mml:mi>&#x3bc;</mml:mi>
</mml:math>
</inline-formula> is the grand mean; <inline-formula id="inf13">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>g</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the average deviation of genotypes (the average value of each genotype minus the grand average value); <inline-formula id="inf14">
<mml:math id="m16">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the average deviation of the tissue (the average of each tissue minus the grand average); <inline-formula id="inf15">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3bb;</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the eigenvalue of the <italic>n</italic>th interaction principal component axis (IPCA); <inline-formula id="inf16">
<mml:math id="m18">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the genotype principal component score of the <italic>n</italic>th principal component; <inline-formula id="inf17">
<mml:math id="m19">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the tissue principal component score of the <italic>n</italic>th principal component; <italic>N</italic> is the total number of principal component axes; and <inline-formula id="inf18">
<mml:math id="m20">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b8;</mml:mi>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the residual.</p>
</sec>
<sec id="s2-5-3">
<title>2.5.3 GGE Biplot Analysis</title>
<p>GGE biplot analysis can reveal the complex interactions between different factors (<xref ref-type="bibr" rid="B42">Yan, 1999</xref>; <xref ref-type="bibr" rid="B39">Yan, 2001</xref>; <xref ref-type="bibr" rid="B40">Yan and Holland, 2010</xref>). The gene expression data obtained from different tissues were sorted into a two-way table including genes expression and tissue, in which each value is the average value of the expression of the corresponding gene in the corresponding tissue (i.e., the phenotype value (<inline-formula id="inf19">
<mml:math id="m21">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>)). The GGE biplot analysis model is written according <xref ref-type="disp-formula" rid="e3">Eq 3</xref>.<disp-formula id="e3">
<mml:math id="m22">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3bc;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3bb;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3bb;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b8;</mml:mi>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where <inline-formula id="inf20">
<mml:math id="m23">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the trait mean expression for genotype <italic>g</italic> in tissue <italic>e</italic>; <inline-formula id="inf21">
<mml:math id="m24">
<mml:mi>&#x3bc;</mml:mi>
</mml:math>
</inline-formula> is the grand mean; <inline-formula id="inf22">
<mml:math id="m25">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the main effect of tissue <italic>e</italic>; <inline-formula id="inf23">
<mml:math id="m26">
<mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b2;</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the mean expression across all genotypes in tissue <italic>e</italic>; <inline-formula id="inf24">
<mml:math id="m27">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3bb;</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf25">
<mml:math id="m28">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3bb;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are the singular values for the first and second PCs (PC1 and PC2), respectively; <inline-formula id="inf26">
<mml:math id="m29">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf27">
<mml:math id="m30">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b3;</mml:mi>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are eigenvectors of genotype <italic>g</italic> for PC1 and PC2, respectively; <inline-formula id="inf28">
<mml:math id="m31">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf29">
<mml:math id="m32">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are eigenvectors of tissue <italic>e</italic> for PC1 and PC2, respectively; and <inline-formula id="inf30">
<mml:math id="m33">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b8;</mml:mi>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the residual associated with genotype <italic>g</italic> in tissue <italic>e</italic>.</p>
<p>The split-split-plot analysis, AMMI and GGE biplot analyses were performed using the DPS Data Processing System (<xref ref-type="bibr" rid="B32">Tang, 2007</xref>).</p>
</sec>
</sec>
</sec>
<sec id="s3">
<title>3 Results</title>
<p>
<xref ref-type="table" rid="T2">Table 2</xref> shows the expression of AFP1, CIRP, YB-1, and HMGB1 in different tissues from fish cultured at different temperatures.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Expression of AFP1, CIRP, YB-1, and HMGB1 in different tissues from fish cultured at different temperatures (means &#xb1; standard deviations).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Tissue</th>
<th rowspan="2" align="center">Gene</th>
<th colspan="4" align="center">Expression</th>
</tr>
<tr>
<th align="center">5&#xb0;C</th>
<th align="center">8&#xb0;C</th>
<th align="center">13&#xb0;C</th>
<th align="center">18&#xb0;C</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="4" align="left">Brain</td>
<td align="left">AFP1</td>
<td align="char" char="plusmn">1066.966 &#xb1; 58.627</td>
<td align="char" char="plusmn">684.934 &#xb1; 160.236</td>
<td align="char" char="plusmn">155.071 &#xb1; 10.673</td>
<td align="char" char="plusmn">33.485 &#xb1; 3.920</td>
</tr>
<tr>
<td align="left">CIRP</td>
<td align="char" char="plusmn">19.983 &#xb1; 8.395</td>
<td align="char" char="plusmn">7.417 &#xb1; 2.371</td>
<td align="char" char="plusmn">18.696 &#xb1; 6.166</td>
<td align="char" char="plusmn">7.302 &#xb1; 1.900</td>
</tr>
<tr>
<td align="left">HMGB1</td>
<td align="char" char="plusmn">86.856 &#xb1; 33.051</td>
<td align="char" char="plusmn">684.411 &#xb1; 91.780</td>
<td align="char" char="plusmn">104.362 &#xb1; 7.083</td>
<td align="char" char="plusmn">28.043 &#xb1; 2.521</td>
</tr>
<tr>
<td align="left">YB-1</td>
<td align="char" char="plusmn">35.377 &#xb1; 7.525</td>
<td align="char" char="plusmn">2.077 &#xb1; 0.299</td>
<td align="char" char="plusmn">29.748 &#xb1; 6.091</td>
<td align="char" char="plusmn">14.051 &#xb1; 0.647</td>
</tr>
<tr>
<td align="center"/>
<td align="left">AFP1</td>
<td align="char" char="plusmn">6293.382 &#xb1; 351.457</td>
<td align="char" char="plusmn">1499.415 &#xb1; 286.439</td>
<td align="char" char="plusmn">433.506 &#xb1; 50.107</td>
<td align="char" char="plusmn">40.844 &#xb1; 5.496</td>
</tr>
<tr>
<td rowspan="3" align="left">Heart</td>
<td align="left">CIRP</td>
<td align="char" char="plusmn">36.390 &#xb1; 5.614</td>
<td align="char" char="plusmn">46.828 &#xb1; 15.878</td>
<td align="char" char="plusmn">12.978 &#xb1; 2.688</td>
<td align="char" char="plusmn">12.447 &#xb1; 2.165</td>
</tr>
<tr>
<td align="left">HMGB1</td>
<td align="char" char="plusmn">30.119 &#xb1; 3.246</td>
<td align="char" char="plusmn">371.701 &#xb1; 94.342</td>
<td align="char" char="plusmn">19.716 &#xb1; 2.299</td>
<td align="char" char="plusmn">16.091 &#xb1; 1.397</td>
</tr>
<tr>
<td align="left">YB-1</td>
<td align="char" char="plusmn">181.004 &#xb1; 50.614</td>
<td align="char" char="plusmn">26.619 &#xb1; 3.228</td>
<td align="char" char="plusmn">111.872 &#xb1; 13.355</td>
<td align="char" char="plusmn">71.776 &#xb1; 11.511</td>
</tr>
<tr>
<td align="center"/>
<td align="left">AFP1</td>
<td align="char" char="plusmn">1282.112 &#xb1; 113.425</td>
<td align="char" char="plusmn">1293.809 &#xb1; 287.443</td>
<td align="char" char="plusmn">313.135 &#xb1; 27.137</td>
<td align="char" char="plusmn">49.393 &#xb1; 1.630</td>
</tr>
<tr>
<td rowspan="3" align="left">Intestine</td>
<td align="left">CIRP</td>
<td align="char" char="plusmn">7.494 &#xb1; 1.168</td>
<td align="char" char="plusmn">12.797 &#xb1; 0.624</td>
<td align="char" char="plusmn">8.024 &#xb1; 0.397</td>
<td align="char" char="plusmn">1.012 &#xb1; 0.193</td>
</tr>
<tr>
<td align="left">HMGB1</td>
<td align="char" char="plusmn">3.419 &#xb1; 0.285</td>
<td align="char" char="plusmn">70.688 &#xb1; 10.000</td>
<td align="char" char="plusmn">13.614 &#xb1; 0.943</td>
<td align="char" char="plusmn">1.002 &#xb1; 0.093</td>
</tr>
<tr>
<td align="left">YB-1</td>
<td align="char" char="plusmn">19.524 &#xb1; 4.315</td>
<td align="char" char="plusmn">5.130 &#xb1; 3.108</td>
<td align="char" char="plusmn">32.797 &#xb1; 4.534</td>
<td align="char" char="plusmn">4.633 &#xb1; 0.599</td>
</tr>
<tr>
<td align="center"/>
<td align="left">AFP1</td>
<td align="char" char="plusmn">2619.441 &#xb1; 138.213</td>
<td align="char" char="plusmn">2607.893 &#xb1; 763.005</td>
<td align="char" char="plusmn">273.210 &#xb1; 43.607</td>
<td align="char" char="plusmn">138.641 &#xb1; 18.764</td>
</tr>
<tr>
<td rowspan="3" align="left">Kidney</td>
<td align="left">CIRP</td>
<td align="char" char="plusmn">13.113 &#xb1; 2.094</td>
<td align="char" char="plusmn">7.594 &#xb1; 1.847</td>
<td align="char" char="plusmn">19.429 &#xb1; 1.665</td>
<td align="char" char="plusmn">6.787 &#xb1; 0.517</td>
</tr>
<tr>
<td align="left">HMGB1</td>
<td align="char" char="plusmn">7.102 &#xb1; 0.812</td>
<td align="char" char="plusmn">69.846 &#xb1; 7.990</td>
<td align="char" char="plusmn">16.645 &#xb1; 0.372</td>
<td align="char" char="plusmn">4.534 &#xb1; 0.509</td>
</tr>
<tr>
<td align="left">YB-1</td>
<td align="char" char="plusmn">16.438 &#xb1; 4.316</td>
<td align="char" char="plusmn">1.232 &#xb1; 1.149</td>
<td align="char" char="plusmn">50.748 &#xb1; 8.688</td>
<td align="char" char="plusmn">9.875 &#xb1; 0.626</td>
</tr>
<tr>
<td align="center"/>
<td align="left">AFP1</td>
<td align="char" char="plusmn">1794.711 &#xb1; 268.371</td>
<td align="char" char="plusmn">489.156 &#xb1; 39.355</td>
<td align="char" char="plusmn">365.993 &#xb1; 88.821</td>
<td align="char" char="plusmn">57.209 &#xb1; 29.476</td>
</tr>
<tr>
<td rowspan="3" align="left">Liver</td>
<td align="left">CIRP</td>
<td align="char" char="plusmn">13.519 &#xb1; 7.766</td>
<td align="char" char="plusmn">5.962 &#xb1; 1.397</td>
<td align="char" char="plusmn">21.564 &#xb1; 6.086</td>
<td align="char" char="plusmn">9.331 &#xb1; 2.064</td>
</tr>
<tr>
<td align="left">HMGB1</td>
<td align="char" char="plusmn">18.601 &#xb1; 1.117</td>
<td align="char" char="plusmn">89.556 &#xb1; 13.502</td>
<td align="char" char="plusmn">96.255 &#xb1; 10.374</td>
<td align="char" char="plusmn">17.639 &#xb1; 0.471</td>
</tr>
<tr>
<td align="left">YB-1</td>
<td align="char" char="plusmn">28.098 &#xb1; 1.714</td>
<td align="char" char="plusmn">5.407 &#xb1; 1.882</td>
<td align="char" char="plusmn">68.932 &#xb1; 7.887</td>
<td align="char" char="plusmn">53.148 &#xb1; 8.477</td>
</tr>
<tr>
<td align="center"/>
<td align="left">AFP1</td>
<td align="char" char="plusmn">6116.457 &#xb1; 1378.037</td>
<td align="char" char="plusmn">1811.152 &#xb1; 690.646</td>
<td align="char" char="plusmn">387.966 &#xb1; 27.999</td>
<td align="char" char="plusmn">194.620 &#xb1; 36.069</td>
</tr>
<tr>
<td rowspan="3" align="left">Muscle</td>
<td align="left">CIRP</td>
<td align="char" char="plusmn">89.788 &#xb1; 57.712</td>
<td align="char" char="plusmn">40.804 &#xb1; 11.521</td>
<td align="char" char="plusmn">16.792 &#xb1; 1.359</td>
<td align="char" char="plusmn">15.674 &#xb1; 0.434</td>
</tr>
<tr>
<td align="left">HMGB1</td>
<td align="char" char="plusmn">66.614 &#xb1; 5.001</td>
<td align="char" char="plusmn">121.446 &#xb1; 5.530</td>
<td align="char" char="plusmn">50.482 &#xb1; 1.620</td>
<td align="char" char="plusmn">35.631 &#xb1; 3.744</td>
</tr>
<tr>
<td align="left">YB-1</td>
<td align="char" char="plusmn">3514.809 &#xb1; 638.609</td>
<td align="char" char="plusmn">509.614 &#xb1; 165.296</td>
<td align="char" char="plusmn">2000.654 &#xb1; 86.534</td>
<td align="char" char="plusmn">2710.596 &#xb1; 483.487</td>
</tr>
<tr>
<td align="center"/>
<td align="left">AFP1</td>
<td align="char" char="plusmn">3512.656 &#xb1; 31.531</td>
<td align="char" char="plusmn">3179.010 &#xb1; 33.714</td>
<td align="char" char="plusmn">388.093 &#xb1; 49.514</td>
<td align="char" char="plusmn">91.363 &#xb1; 9.527</td>
</tr>
<tr>
<td rowspan="3" align="left">Spleen</td>
<td align="left">CIRP</td>
<td align="char" char="plusmn">19.201 &#xb1; 3.057</td>
<td align="char" char="plusmn">12.285 &#xb1; 4.973</td>
<td align="char" char="plusmn">5.310 &#xb1; 0.349</td>
<td align="char" char="plusmn">3.982 &#xb1; 0.129</td>
</tr>
<tr>
<td align="left">HMGB1</td>
<td align="char" char="plusmn">15.677 &#xb1; 1.745</td>
<td align="char" char="plusmn">101.118 &#xb1; 21.340</td>
<td align="char" char="plusmn">9.094 &#xb1; 0.752</td>
<td align="char" char="plusmn">4.701 &#xb1; 0.398</td>
</tr>
<tr>
<td align="left">YB-1</td>
<td align="char" char="plusmn">29.009 &#xb1; 2.606</td>
<td align="char" char="plusmn">0.225 &#xb1; 0.148</td>
<td align="char" char="plusmn">20.453 &#xb1; 2.186</td>
<td align="char" char="plusmn">5.817 &#xb1; 1.006</td>
</tr>
<tr>
<td align="center"/>
<td align="left">AFP1</td>
<td align="char" char="plusmn">7400.707 &#xb1; 868.984</td>
<td align="char" char="plusmn">893.144 &#xb1; 54.822</td>
<td align="char" char="plusmn">441.387 &#xb1; 55.797</td>
<td align="char" char="plusmn">145.049 &#xb1; 11.767</td>
</tr>
<tr>
<td rowspan="3" align="left">Skin</td>
<td align="left">CIRP</td>
<td align="char" char="plusmn">15.086 &#xb1; 0.933</td>
<td align="char" char="plusmn">18.135 &#xb1; 0.696</td>
<td align="char" char="plusmn">16.181 &#xb1; 4.398</td>
<td align="char" char="plusmn">4.378 &#xb1; 0.133</td>
</tr>
<tr>
<td align="left">HMGB1</td>
<td align="char" char="plusmn">11.748 &#xb1; 0.850</td>
<td align="char" char="plusmn">59.467 &#xb1; 5.569</td>
<td align="char" char="plusmn">29.777 &#xb1; 3.075</td>
<td align="char" char="plusmn">13.118 &#xb1; 2.621</td>
</tr>
<tr>
<td align="left">YB-1</td>
<td align="char" char="plusmn">151.941 &#xb1; 40.267</td>
<td align="char" char="plusmn">66.343 &#xb1; 14.264</td>
<td align="char" char="plusmn">66.961 &#xb1; 8.481</td>
<td align="char" char="plusmn">75.281 &#xb1; 5.565</td>
</tr>
<tr>
<td align="center"/>
<td align="left">AFP1</td>
<td align="char" char="plusmn">2933.386 &#xb1; 245.377</td>
<td align="char" char="plusmn">449.5484 &#xb1; 128.829</td>
<td align="char" char="plusmn">4.213 &#xb1; 0.471</td>
<td align="char" char="plusmn">1.025 &#xb1; 0.286</td>
</tr>
<tr>
<td rowspan="3" align="left">Gonad</td>
<td align="left">CIRP</td>
<td align="char" char="plusmn">9.144 &#xb1; 0.729</td>
<td align="char" char="plusmn">7.027 &#xb1; 1.484</td>
<td align="char" char="plusmn">2.295 &#xb1; 0.246</td>
<td align="char" char="plusmn">2.733 &#xb1; 0.260</td>
</tr>
<tr>
<td align="left">HMGB1</td>
<td align="char" char="plusmn">22.158 &#xb1; 3.001</td>
<td align="char" char="plusmn">35.308 &#xb1; 4.753</td>
<td align="char" char="plusmn">3.276 &#xb1; 0.243</td>
<td align="char" char="plusmn">3.623 &#xb1; 0.611</td>
</tr>
<tr>
<td align="left">YB-1</td>
<td align="char" char="plusmn">21.180 &#xb1; 4.578</td>
<td align="char" char="plusmn">1.818 &#xb1; 0.545</td>
<td align="char" char="plusmn">2.847 &#xb1; 0.326</td>
<td align="char" char="plusmn">1.004 &#xb1; 0.116</td>
</tr>
</tbody>
</table>
</table-wrap>
<sec id="s3-1">
<title>3.1 Split-Split-Plot Analysis of Variance</title>
<p>The results of the split-split-plot analysis of variance were listed in <xref ref-type="table" rid="T3">Table 3</xref>. <xref ref-type="table" rid="T3">Table 3</xref> showed that the <italic>p</italic> values of factors temperature, tissue, gene, temperature &#xd7; tissue, temperature &#xd7; gene, tissue &#xd7; gene, and temperature &#xd7; tissue &#xd7;gene were 0.0143, 0, 1E-07, 0, 1E-07, 1.887E-06 and 0.0152,694, respectively, indicating that the expression of the four cold resistant genes was significantly (<italic>p</italic> &#x3c; 0.05) affected by temperature and temperature &#xd7; tissue &#xd7;gene interaction, and was highly significantly (<italic>p</italic> &#x3c; 0.01) affected by tissue, gene, temperature &#xd7; tissue, temperature &#xd7; gene and tissue &#xd7; gene interaction (<xref ref-type="table" rid="T3">Table 3</xref>).</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Split-split-plot analysis of variance for <italic>T. rubripes</italic> cold resistant experiment with four cold resistant genes, four temperature gradients and nine tissues.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Source of Variation</th>
<th align="center">Sum of Square</th>
<th align="center">Degrees of Freedom</th>
<th align="center">Mean Square</th>
<th align="center">
<italic>F</italic>-Value</th>
<th align="center">
<italic>p</italic>-value</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Blocks (replicates)</td>
<td align="char" char=".">40252485</td>
<td align="char" char=".">5</td>
<td align="char" char=".">8050497</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">Temperature</td>
<td align="char" char=".">29812447</td>
<td align="char" char=".">3</td>
<td align="char" char=".">9937482.5</td>
<td align="char" char=".">4.9102333&#x2a;</td>
<td align="center">0.0143</td>
</tr>
<tr>
<td align="left">Main-plot error</td>
<td align="char" char=".">30357466</td>
<td align="char" char=".">15</td>
<td align="char" char=".">2023831</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">Tissue</td>
<td align="char" char=".">17330089</td>
<td align="char" char=".">8</td>
<td align="char" char=".">2166261.1</td>
<td align="char" char=".">9.1797&#x2a;&#x2a;</td>
<td align="center">0</td>
</tr>
<tr>
<td align="left">Temperature &#xd7; tissue</td>
<td align="char" char=".">17897111</td>
<td align="char" char=".">24</td>
<td align="char" char=".">745712.94</td>
<td align="char" char=".">3.16&#x2a;&#x2a;</td>
<td align="center">0</td>
</tr>
<tr>
<td align="left">Split-plot error</td>
<td align="char" char=".">37757296</td>
<td align="char" char=".">160</td>
<td align="char" char=".">235983.1</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">Gene</td>
<td align="char" char=".">65742384</td>
<td align="char" char=".">3</td>
<td align="char" char=".">21914128</td>
<td align="char" char=".">52.140,554&#x2a;&#x2a;</td>
<td align="center">1E-07</td>
</tr>
<tr>
<td align="left">Temperature &#xd7; gene</td>
<td align="char" char=".">80367779</td>
<td align="char" char=".">9</td>
<td align="char" char=".">8929753.2</td>
<td align="char" char=".">21.246,671&#x2a;&#x2a;</td>
<td align="center">1E-07</td>
</tr>
<tr>
<td align="left">Tissue &#xd7; gene</td>
<td align="char" char=".">30951837</td>
<td align="char" char=".">24</td>
<td align="char" char=".">1289659.9</td>
<td align="char" char=".">3.0685,036&#x2a;&#x2a;</td>
<td align="center">1.887E-06</td>
</tr>
<tr>
<td align="left">Temperature &#xd7; tissue &#xd7;gene</td>
<td align="char" char=".">43351378</td>
<td align="char" char=".">72</td>
<td align="char" char=".">602102.48</td>
<td align="char" char=".">1.4325898&#x2a;</td>
<td align="center">0.0152,694</td>
</tr>
<tr>
<td align="left">Split-split-plot error</td>
<td align="char" char=".">226956339</td>
<td align="char" char=".">540</td>
<td align="char" char=".">420289.52</td>
<td align="left"/>
<td align="left"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Notes: Asterisks denote that correlations were significant at &#x2a;<italic>p</italic> &#x3c; 0.05 and &#x2a;&#x2a;<italic>p</italic> &#x3c; 0.01.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Regression models for relation between expression and temperature for four genes were showed in <xref ref-type="fig" rid="F1">Figure 1</xref>. In <xref ref-type="fig" rid="F1">Figure 1</xref>, panel A, all regression models are power functions. In <xref ref-type="fig" rid="F1">Figure 1</xref>, panel B, regression models for brain, intestine, kidney, and liver are three-degree polynomial, and that for muscle, skin, spleen, and gonad are second-degree polynomial. In <xref ref-type="fig" rid="F1">Figure 1</xref>, panel C, except that liver is second-degree polynomial, other tissues are three-degree polynomial. In <xref ref-type="fig" rid="F1">Figure 1</xref>, panel D, except that spleen and gonad are second-degree polynomial, other tissues are three-degree polynomial.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Regression models for relation between expression and temperature for four genes.</p>
</caption>
<graphic xlink:href="fmolb-09-897935-g001.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>3.2 AMMI Analysis</title>
<p>The results of AMMI analysis showed that the expression of the four genes was significantly affected by genotype, tissue, and genotype &#xd7; tissue interactions at different temperatures (<xref ref-type="table" rid="T4">Table 4</xref>).</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Results of AMMI analysis of expression of the four genes in different tissues from fish cultured at different temperatures.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Source of</th>
<th colspan="6" align="center">5&#xb0;C</th>
</tr>
<tr>
<th align="left">Variation</th>
<th align="center">
<italic>df</italic>
</th>
<th align="center">SS</th>
<th align="center">MS</th>
<th align="center">
<italic>F</italic>
</th>
<th align="center">Prob</th>
<th align="center">% Of Total SS</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Total</td>
<td align="center">107</td>
<td align="center">423623818.3</td>
<td align="center">3959101.1</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">Treatment</td>
<td align="center">35</td>
<td align="center">416897702.1</td>
<td align="center">11911363</td>
<td align="center">127.51&#x2a;&#x2a;</td>
<td align="center">0</td>
<td align="left"/>
</tr>
<tr>
<td align="left">Gene</td>
<td align="center">3</td>
<td align="center">251594453.7</td>
<td align="center">83864818</td>
<td align="center">897.73&#x2a;&#x2a;</td>
<td align="center">0</td>
<td align="center">59.3910</td>
</tr>
<tr>
<td align="left">Tissue</td>
<td align="center">8</td>
<td align="center">56355829.37</td>
<td align="center">7,044,478.7</td>
<td align="center">75.408&#x2a;&#x2a;</td>
<td align="center">0</td>
<td align="center">13.3032</td>
</tr>
<tr>
<td align="left">Interaction</td>
<td align="center">24</td>
<td align="center">108,947,419.1</td>
<td align="center">4,539,475.8</td>
<td align="center">48.593&#x2a;&#x2a;</td>
<td align="center">0</td>
<td align="center">25.7179</td>
</tr>
<tr>
<td align="left">IPCA1</td>
<td align="center">10</td>
<td align="center">90,456,102.53</td>
<td align="center">9,045,610.3</td>
<td align="center">96.829&#x2a;&#x2a;</td>
<td align="center">0</td>
<td align="center">83.0273</td>
</tr>
<tr>
<td align="left">IPCA2</td>
<td align="center">8</td>
<td align="center">18,486,274.89</td>
<td align="center">2,310,784.4</td>
<td align="center">24.736&#x2a;&#x2a;</td>
<td align="center">0</td>
<td align="center">16.9680</td>
</tr>
<tr>
<td align="left">Residual</td>
<td align="center">6</td>
<td align="center">5041.6457</td>
<td align="center">840.2743</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">Error</td>
<td align="center">72</td>
<td align="center">6,726,116.19</td>
<td align="center">93418.28</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">
<bold>Source of</bold>
</td>
<td align="left"/>
<td align="left"/>
<td align="center">
<bold>8 &#xb0;C</bold>
</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">
<bold>variation</bold>
</td>
<td align="center">
<bold>
<italic>df</italic>
</bold>
</td>
<td align="center">
<bold>SS</bold>
</td>
<td align="center">
<bold>MS</bold>
</td>
<td align="center">
<bold>
<italic>F</italic>
</bold>
</td>
<td align="center">
<bold>Prob</bold>
</td>
<td align="center">
<bold>% of total SS</bold>
</td>
</tr>
<tr>
<td align="left">Total</td>
<td align="center">107</td>
<td align="center">63,381,780.3</td>
<td align="center">592353.087</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">Treatment</td>
<td align="center">35</td>
<td align="center">60,745,799</td>
<td align="center">1,735,594.26</td>
<td align="center">47.406&#x2a;&#x2a;</td>
<td align="center">0</td>
<td align="left"/>
</tr>
<tr>
<td align="left">Gene</td>
<td align="center">3</td>
<td align="center">37,053,112.4</td>
<td align="center">12351037.5</td>
<td align="center">337.36&#x2a;&#x2a;</td>
<td align="center">0</td>
<td align="center">58.460</td>
</tr>
<tr>
<td align="left">Tissue</td>
<td align="center">8</td>
<td align="center">5,634,930.89</td>
<td align="center">704366.361</td>
<td align="center">19.239&#x2a;&#x2a;</td>
<td align="center">0</td>
<td align="center">8.890</td>
</tr>
<tr>
<td align="left">Interaction</td>
<td align="center">24</td>
<td align="center">18,057,755.7</td>
<td align="center">752406.488</td>
<td align="center">20.551&#x2a;&#x2a;</td>
<td align="center">0</td>
<td align="center">28.490</td>
</tr>
<tr>
<td align="left">IPCA1</td>
<td align="center">10</td>
<td align="center">16914065.4</td>
<td align="center">1,691,406.54</td>
<td align="center">46.199&#x2a;&#x2a;</td>
<td align="center">0</td>
<td align="center">93.666</td>
</tr>
<tr>
<td align="left">IPCA2</td>
<td align="center">8</td>
<td align="center">938525.287</td>
<td align="center">117315.661</td>
<td align="center">3.204&#x2a;&#x2a;</td>
<td align="center">0.003</td>
<td align="center">5.197</td>
</tr>
<tr>
<td align="left">Residual</td>
<td align="center">6</td>
<td align="center">205165.014</td>
<td align="center">34194.169</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">Error</td>
<td align="center">72</td>
<td align="center">2,635,981.37</td>
<td align="center">36610.852</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">
<bold>Source of</bold>
</td>
<td align="left"/>
<td align="left"/>
<td align="center">
<bold>13 &#xb0;C</bold>
</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">
<bold>variation</bold>
</td>
<td align="center">
<bold>
<italic>df</italic>
</bold>
</td>
<td align="center">
<bold>SS</bold>
</td>
<td align="center">
<bold>MS</bold>
</td>
<td align="center">
<bold>
<italic>F</italic>
</bold>
</td>
<td align="center">
<bold>Prob</bold>
</td>
<td align="center">
<bold>% of total SS</bold>
</td>
</tr>
<tr>
<td align="left">Total</td>
<td align="center">107</td>
<td align="center">12,642,216.3</td>
<td align="center">118152</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">Treatment</td>
<td align="center">35</td>
<td align="center">12,586,769.2</td>
<td align="center">359622</td>
<td align="center">466.982&#x2a;&#x2a;</td>
<td align="center">0</td>
<td align="left"/>
</tr>
<tr>
<td align="left">Gene</td>
<td align="center">3</td>
<td align="center">1,859,582.52</td>
<td align="center">619861</td>
<td align="center">804.911&#x2a;&#x2a;</td>
<td align="center">0</td>
<td align="center">14.709</td>
</tr>
<tr>
<td align="left">Tissue</td>
<td align="center">8</td>
<td align="center">3,013,081.06</td>
<td align="center">376635</td>
<td align="center">489.074&#x2a;&#x2a;</td>
<td align="center">0</td>
<td align="center">23.833</td>
</tr>
<tr>
<td align="left">Interaction</td>
<td align="center">24</td>
<td align="center">7,714,105.65</td>
<td align="center">321421</td>
<td align="center">417.377&#x2a;&#x2a;</td>
<td align="center">0</td>
<td align="center">61.018</td>
</tr>
<tr>
<td align="left">IPCA1</td>
<td align="center">10</td>
<td align="center">7,373,491.72</td>
<td align="center">737349</td>
<td align="center">957.474&#x2a;&#x2a;</td>
<td align="center">0</td>
<td align="center">95.584</td>
</tr>
<tr>
<td align="left">IPCA2</td>
<td align="center">8</td>
<td align="center">328220.754</td>
<td align="center">41027.6</td>
<td align="center">53.275&#x2a;&#x2a;</td>
<td align="center">0</td>
<td align="center">4.254</td>
</tr>
<tr>
<td align="left">Residual</td>
<td align="center">6</td>
<td align="center">12393.176</td>
<td align="center">2065.53</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">Error</td>
<td align="center">72</td>
<td align="center">55447.070</td>
<td align="center">770.098</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">
<bold>Source of</bold>
</td>
<td align="left"/>
<td align="left"/>
<td align="center">
<bold>18 &#xb0;C</bold>
</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">
<bold>variation</bold>
</td>
<td align="center">
<bold>
<italic>df</italic>
</bold>
</td>
<td align="center">
<bold>SS</bold>
</td>
<td align="center">
<bold>MS</bold>
</td>
<td align="center">
<bold>
<italic>F</italic>
</bold>
</td>
<td align="center">
<bold>Prob</bold>
</td>
<td align="center">
<bold>% of total SS</bold>
</td>
</tr>
<tr>
<td align="left">Total</td>
<td align="center">107</td>
<td align="center">21594750.1</td>
<td align="center">201820</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">Treatment</td>
<td align="center">35</td>
<td align="center">21,121,069.5</td>
<td align="center">603459</td>
<td align="center">91.726&#x2a;&#x2a;</td>
<td align="center">0</td>
<td align="left"/>
</tr>
<tr>
<td align="left">Gene</td>
<td align="center">3</td>
<td align="center">1,829,837.74</td>
<td align="center">609946</td>
<td align="center">92.712&#x2a;&#x2a;</td>
<td align="center">0</td>
<td align="center">8.473</td>
</tr>
<tr>
<td align="left">Tissue</td>
<td align="center">8</td>
<td align="center">5,404,080.57</td>
<td align="center">675510</td>
<td align="center">102.678&#x2a;&#x2a;</td>
<td align="center">0</td>
<td align="center">25.024</td>
</tr>
<tr>
<td align="left">Interaction</td>
<td align="center">24</td>
<td align="center">13,887,151.2</td>
<td align="center">578631</td>
<td align="center">87.952&#x2a;&#x2a;</td>
<td align="center">0</td>
<td align="center">64.308</td>
</tr>
<tr>
<td align="left">IPCA1</td>
<td align="center">10</td>
<td align="center">13,847,644.7</td>
<td align="center">1,384,764</td>
<td align="center">210.486&#x2a;&#x2a;</td>
<td align="center">0</td>
<td align="center">99.715</td>
</tr>
<tr>
<td align="left">IPCA2</td>
<td align="center">8</td>
<td align="center">38976.135</td>
<td align="center">4872.02</td>
<td align="center">0.740</td>
<td align="center">0.655</td>
<td align="center">0.280</td>
</tr>
<tr>
<td align="left">Residual</td>
<td align="center">6</td>
<td align="center">530.417</td>
<td align="center">88.4028</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">Error</td>
<td align="center">72</td>
<td align="center">473680.549</td>
<td align="center">6578.9</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>Notes: one <italic>df</italic>: degrees of freedom, SS: sum of squares, MS: mean squares, F: test statistic, Prob: probability.</p>
</fn>
<fn>
<p>2 &#x2a;&#x2a;: significant at 1% probability level.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>At 5&#xb0;C, the AMMI analysis of variance indicated that 59.3910%, 13.3032%, and 25.7179% of the total sum of squares (SS) were attributable to genotype, tissue effects, and genotype &#xd7; tissue interactions, respectively. IPCA1 and IPCA2 were obtained, which contributed to 83.0273 and 16.9680% of the genotype &#xd7; tissue interactions, respectively.</p>
<p>At 8&#xb0;C, the AMMI analysis of variance indicated that 58.460%, 8.890%, and 28.490% of the total SS were attributable to genotype, tissue effects, and genotype &#xd7; tissue interactions, respectively. IPCA1 and IPCA2 contributed 93.666 and 5.197% of the genotype &#xd7; tissue interactions, respectively.</p>
<p>At 13 &#xb0;C, the AMMI analysis of variance indicated that 14.709%, 23.833%, and 61.018% of the total SS were attributable to genotype, tissue effects, and genotype &#xd7; tissue interactions, respectively. IPCA1 and IPCA2 contributed 95.584 and 4.254% of the genotype &#xd7; tissue interactions, respectively.</p>
<p>At 18 &#xb0;C, the AMMI analysis of variance indicated that 8.473%, 25.024%, and 64.308% of the total SS were attributable to genotype, tissue effects, and genotype &#xd7; tissue interactions, respectively. IPCA1 and IPCA2 contributed 99.715 and 0.280% of the genotype &#xd7; tissue interactions, respectively.</p>
</sec>
<sec id="s3-3">
<title>3.3 GGE Biplot Analysis</title>
<p>GGE biplot analysis was carried out based on the mean expression of the four genes in the nine tissues at different culture temperatures. The &#x201c;relationship among different tissues,&#x201d; &#x201c;which-won-where,&#x201d; and &#x201c;high expression and expression stability&#x201d; view of the GGE biplots and the &#x201c;concentric circles&#x201d; view of the GGE biplots were drawn based on the conclusions of the GGE biplot analysis.</p>
<p>The GGE biplots of the &#x201c;relationship among different tissues&#x201d; (<xref ref-type="fig" rid="F2">Figures 2</xref>&#x2013;<xref ref-type="fig" rid="F5">5</xref>, panel A) mainly focuses on the similarity of genes expression among tissues. The cosine of the angle between two line segments is the correlation coefficient of the gene expression in two tissues. An angle &#x3c;90&#xb0; indicates a positive correlation and that the expression of genes in the two tissues is similar, whereas an angle &#x3e;90&#xb0; indicates a negative correlation and that the expression of genes in the two tissues is in the opposite ranking. A 90&#xb0; angle indicates that the gene expression in two tissues is not related. The length of the line segment indicates the ability of the tissue to distinguish gene expression: the longer the line segment, the stronger the ability to distinguish gene expression (<xref ref-type="bibr" rid="B32">Tang, 2007</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>The GGE biplot for expression of four resistance genes to low temperature (AFP1, CIRP, YB-1, and HMGB1) in different tissues at 5&#xb0;C. <bold>(A)</bold> &#x201c;Relationship among different tissues&#x201d; view. <bold>(B)</bold> &#x201c;Which-won-where&#x201d; view. <bold>(C)</bold> &#x201c;High expression and expression stability&#x201d; view. <bold>(D)</bold> &#x201c;Concentric circles&#x201d; view.</p>
</caption>
<graphic xlink:href="fmolb-09-897935-g002.tif"/>
</fig>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>The GGE biplot for expression of four resistance genes to low temperature (AFP1, CIRP, YB-1, and HMGB1) in different tissues at 8&#xb0;C. <bold>(A)</bold> &#x201c;Relationship among different tissues&#x201d; view. <bold>(B)</bold> &#x201c;Which-won-where&#x201d; view. <bold>(C)</bold> &#x201c;High expression and expression stability&#x201d; view. <bold>(D)</bold> &#x201c;Concentric circles&#x201d; view.</p>
</caption>
<graphic xlink:href="fmolb-09-897935-g003.tif"/>
</fig>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>The GGE biplot for expression of four resistance genes to low temperature (AFP1, CIRP, YB-1, and HMGB1) in different tissues at 13&#xb0;C. <bold>(A)</bold> &#x201c;Relationship among different tissues&#x201d; view. <bold>(B)</bold> &#x201c;Which-won-where&#x201d; view. <bold>(C)</bold> &#x201c;High expression and expression stability&#x201d; view. <bold>(D)</bold> &#x201c;Concentric circles&#x201d; view.</p>
</caption>
<graphic xlink:href="fmolb-09-897935-g004.tif"/>
</fig>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>The GGE biplot for expression of four resistance genes to low temperature (AFP1, CIRP, YB-1, and HMGB1) in different tissues at 18&#xb0;C. <bold>(A)</bold> &#x201c;Relationship among different tissues&#x201d; view. <bold>(B)</bold> &#x201c;Which-won-where&#x201d; view. <bold>(C)</bold> &#x201c;High expression and expression stability&#x201d; view. <bold>(D)</bold> &#x201c;Concentric circles&#x201d; view.</p>
</caption>
<graphic xlink:href="fmolb-09-897935-g005.tif"/>
</fig>
<p>The &#x201c;which-won-where&#x201d; view of GGE biplots (<xref ref-type="fig" rid="F2">Figures 2</xref>&#x2013;<xref ref-type="fig" rid="F5">5</xref>, panel B) divides the experimental regions according to the interaction between gene and tissue, and it reveals genes with the highest expression level in each region. The gene located at the top corner of the polygon in each region is the gene with the highest expression in this region (<xref ref-type="bibr" rid="B32">Tang, 2007</xref>).</p>
<p>The &#x201c;high expression and expression stability&#x201d; view of the GGE biplots (<xref ref-type="fig" rid="F2">Figures 2</xref>&#x2013;<xref ref-type="fig" rid="F5">5</xref>, panel C) identifies genes with high and stable expression. The direction of the transverse oblique line to &#x201c;ideal gene&#x201d; is the approximate average expression of genes in all tissues: the closer to the ideal variety, the higher the average gene expression. The straight line perpendicular to the transverse slash represents the tendency of the gene &#xd7; tissue interaction: the greater the deviation of the vertical line from the transverse oblique line, the more unstable the gene expression (<xref ref-type="bibr" rid="B32">Tang, 2007</xref>).</p>
<p>Finally, the GGE biplots with concentric circles (<xref ref-type="fig" rid="F2">Figures 2</xref>&#x2013;<xref ref-type="fig" rid="F5">5</xref>, panel D) comprehensively evaluate the high expression and expression stability based on the distance of various genes to the central point of the genes: the smaller the distance, the higher and more stable the expression of the gene (<xref ref-type="bibr" rid="B32">Tang, 2007</xref>).</p>
<p>At 5&#xb0;C, the relationship among different tissues (<xref ref-type="fig" rid="F2">Figure 2A</xref>) showed that the angles between all tissues except for muscle were very small (the correlations among the eight tissues were highly positive), which indicates that expression rankings of all four genes was basically the same in the eight tissues. Muscle had the longest line segment length, which indicates that it had the strongest ability to distinguish expression of the four genes, followed by skin. The &#x201c;which-won-where&#x201d; view (<xref ref-type="fig" rid="F2">Figure 2B</xref>) showed that all nine tissues belonged to a region, where AFP1 had the highest expression. The &#x201c;high expression and expression stability&#x201d; view of the GGE biplot (<xref ref-type="fig" rid="F2">Figure 2C</xref>) showed that the expression of AFP1 was highest, followed by YB-1, CIRP, and HMGB1. AFP1 had the most stable expression, followed by CIRP, HMGB1, and YB-1. The concentric circles biplot (<xref ref-type="fig" rid="F2">Figure 2D</xref>) showed that AFP1 had the best expression and stability, followed by YB-1, CIRP, and HMGB1.</p>
<p>At 8 &#xb0;C, the angles between all tissues except for heart, brain, and muscle were very small (the correlations among the six tissues were highly positive), which indicates that expression rankings of all four genes was basically the same in the six tissues (<xref ref-type="fig" rid="F3">Figure 3A</xref>). There was a low positive correlation of heart and muscle with these six tissues, and there was a negative correlation between brain and muscle. The spleen had the strongest ability to distinguish expression of the four genes, followed by the kidney. The nine tissues belonged to a region, and AFP1 had the highest expression in this region (<xref ref-type="fig" rid="F3">Figure 3B</xref>). The expression of AFP1 was highest, followed by HMGB1, YB-1, and CIRP, and the most stable expression was CIRP, followed by AFP1, YB-1, and HMGB1 (<xref ref-type="fig" rid="F3">Figure 3C</xref>). AFP1 had the best expression and stability, followed by HMGB1, CIRP, and YB-1 (<xref ref-type="fig" rid="F3">Figure 3D</xref>).</p>
<p>At 13&#xb0;C, with the exception of muscle, the other eight tissues showed similar expression of the four genes (<xref ref-type="fig" rid="F4">Figure 4A</xref>). Muscle had the strongest ability to distinguish expression rankings of the four genes, followed by skin. The nine tissues were divided into two regions, with muscle in one region and the other eight tissues in the other region; YB-1 had the highest expression in the muscle region, whereas AFP1 had the highest expression in the other region (<xref ref-type="fig" rid="F4">Figure 4B</xref>). The expression of AFP1 was highest, followed by YB-1, HMGB1, and CIRP, and the most stable expression was CIRP, followed by HMGB1, AFP1, and YB-1 (<xref ref-type="fig" rid="F4">Figure 4C</xref>). AFP1 had the best expression and stability, followed by YB-1, HMGB1, and CIRP (<xref ref-type="fig" rid="F4">Figure 4D</xref>).</p>
<p>At 18 &#xb0;C, all tissues except for muscle showed similar expression of the four genes (<xref ref-type="fig" rid="F5">Figure 5A</xref>). Muscle had the strongest ability to distinguish expression rankings of the four genes, followed by skin. The nine tissues were divided into two regions, with gonad, muscle, and heart in one region and the other six tissues in the other region; YB-1 had the highest expression in the gonad-muscle-heart region, and AFP1 had the highest expression in the other region (<xref ref-type="fig" rid="F5">Figure 5B</xref>). The expression of YB-1 was the highest, followed by AFP1, HMGB1, and CIRP, and the most stable expression was CIRP, followed by HMGB1, AFP1, and YB-1 (<xref ref-type="fig" rid="F5">Figure 5C</xref>). YB-1 had the best expression and stability, followed by AFP1, HMGB1, and CIRP (<xref ref-type="fig" rid="F5">Figure 5D</xref>).</p>
</sec>
</sec>
<sec id="s4">
<title>4 Discussion</title>
<sec id="s4-1">
<title>4.1 Split-Split-Plot Analysis of Variance</title>
<p>The results of split-split-plot analysis of variance showed that water temperature has a significant (<italic>p</italic> &#x3c; 0.05) effect on the expression of <italic>T. rubripes</italic> cold resistant genes, while tissue &#xd7; gene interaction has a highly significant (<italic>p</italic> &#x3c; 0.01) effect on it, which indicates that it is of great significance to carry out dissection of genotype &#xd7; tissue interactions for <italic>T. rubripes</italic> cold resistant genes under different low-temperature conditions for determining temperature range of low temperature tolerance experiments, selecting tissues for gene expression analysis, and screening for antifreeze genes with high expression and high stability in cold-resistant strains of <italic>T. rubripes.</italic>
</p>
<p>On the whole, the expression of AFP1, in the nine tissues, were power functions with temperature, that of CIRP were two- and three-degree polynomial with temperature, and that of HMGB1 and YB-1 were three-degree polynomial with temperature, which showed that different cold tolerant genes showed unique expression patterns under the same temperature gradient. Among them, the expression mechanism of AFP1 is quite different from that of the other three genes, while the expression mechanisms of HMGB1 and YB-1 are relatively consistent.</p>
</sec>
<sec id="s4-2">
<title>4.2 AMMI Analysis</title>
<p>The results of AMMI analysis showed that the expression of the four genes was significantly affected by genotype, tissue, and genotype &#xd7; tissue interactions at different culture temperatures. However, at different temperatures, the contributions of gene, tissue, and interactions to the total variation in gene expression differed, but followed certain patterns. As temperature decreased, the gene effect increased gradually and the genotype &#xd7; tissue interaction decreased gradually. This may be because it is easier to express cold tolerance genes at lower the temperature. In addition, the gene effect at 18 and 13 &#xb0;C was significantly lower than that at 8 and 5&#xb0;C, whereas the interaction at 18 and 13 &#xb0;C was significantly higher than that at 8 and 5&#xb0;C. The higher two temperatures may be in the range at which antifreeze gene expression is inactive, while it might be active at 8 and 5 &#xb0;C. At 18, 13, and 8 &#xb0;C, the tissue effect decreased gradually with decreasing temperature, but it increased at 5 &#xb0;C. However, the tissue effect at 18 and 13 &#xb0;C was significantly higher than that at 8 and 5 &#xb0;C. We speculate that 8 &#xb0;C may be in the temperature range in which inactive expression becomes active, and therefore this temperature affects the distribution of the three effects. It also may also be the key regulation point for <italic>T. rubripes</italic> to deal with low temperature stress. Temperature that is too low will cause regulation disorder, thus 8 &#xb0;C may be a relevant basis for studying the regulation mechanism of the low temperature response of <italic>T. rubripes</italic>.</p>
</sec>
<sec id="s4-3">
<title>4.3 GGE Biplot Analysis</title>
<p>The GGE biplot analysis of the &#x201c;relationship among different tissues&#x201d; (<xref ref-type="fig" rid="F2">Figures 2</xref>&#x2013;<xref ref-type="fig" rid="F5">5</xref>, panel A) showed that at 5, 13, and 18 &#xb0;C, the expression of AFP1, CIRP, YB-1, and HMGB1 was highly positively correlated in all tissues except muscle, which indicates that the expression of the four genes in the liver, spleen, kidney, brain, heart, intestine, gonad, and skin was basically the same at these three temperatures. At 8 &#xb0;C, the expression of the four genes in the brain, heart, and muscle was lower than that in the liver, spleen, kidney, intestine, gonad, and skin. At all four temperatures, the ability of the nine tissues to distinguish the expression of the four genes showed a law similar to the above changes. At 5, 13, and 18 &#xb0;C, muscle had the strongest ability to distinguish expression of the four genes, followed by skin, which likely is related to the important roles of skin and muscle in coping with temperature changes, as these organs are in close contact with the external environment. At 8 &#xb0;C, the spleen had the strongest ability to distinguish expression of the four genes, followed by the kidney. One possible explanation for the observed difference at this temperature is that 8 &#xb0;C may be in the transition zone at which inactive gene expression becomes active.</p>
<p>The &#x201c;which-won-where&#x201d; view of the GGE biplot (<xref ref-type="fig" rid="F2">Figures 2</xref>&#x2013;<xref ref-type="fig" rid="F5">5</xref>, panel B) showed that at 5 and 8 &#xb0;C, all nine tissues belonged to the same region, in which AFP1 had the highest expression. At 13 &#xb0;C, the nine tissues were divided into two regions, with muscle in one region and the other eight tissues in the other one; YB-1 had the highest expression in the muscle region, and AFP1 had the highest expression in the other region. At 18 &#xb0;C, the nine tissues were divided into two regions, with the gonad, muscle, and heart in one region and the other six tissues in the other region; YB-1 had the highest expression in the gonad-muscle-heart region, and AFP1 had the highest expression in the other region. In the gonad-muscle-heart region, the gonad and heart were located very close to the other region and far away from the muscle, which shows that the regions at 18 and 13 &#xb0;C were basically the same. Thus, on the whole, the region for 5 and 8 &#xb0;C was similar and that for 13 and 18 &#xb0;C was similar. This may be related to the different levels of antifreeze gene expression activity at 18 &#xb0;C/13 and 8 &#xb0;C/5 &#xb0;C. Further analysis showed that at 5, 13, and 18 &#xb0;C, muscle was far removed from the other eight tissues, while the other eight tissues were situated close to each other. At 8 &#xb0;C, however, the pattern did not follow this structure, which shows that the regional division of other three temperatures was relatively consistent. Again, 8 &#xb0;C is likely within the transition temperature range in which gene expression change from inactive to active.</p>
<p>In the &#x201c;high expression and expression stability&#x201d; view of the GGE biplot, the expression rankings of the four genes were similar at 5, 13, and 18 &#xb0;C, but slightly different from those at 8 &#xb0;C. Consistent with the other biplot views, this is likely because 8 &#xb0;C is located in the transition temperature range in which gene expression changes from inactive to active. At 13 and 18 &#xb0;C, the expression stability of the four genes was the same, and their stability at 5 and 8 &#xb0;C was even more similar than at 13 and 18 &#xb0;C. This is likely due to the different levels of antifreeze gene expression activity at 18 &#xb0;C/13 vs 8 &#xb0;C/5 &#xb0;C. The expression of AFP1 was second highest at 18 &#xb0;C and highest at the other three temperatures, and AFP1 expression became more and more stable as temperature decreased. The expression of CIRP ranked third at 5 &#xb0;C and fourth at the other three temperatures, whereas the expression stability ranked second at 5 &#xb0;C and first at the other three temperatures.</p>
<p>The &#x201c;concentric circles&#x201d; view of the GGE biplot illustrates the comprehensive evaluation of the expression amount and stability of the four genes at different temperatures. Both expression amount and stability were more similar at 5, 13, and 18 &#xb0;C. AFP1 showed the best expression and stability among the four genes, as it ranked second at 18 &#xb0;C and first at the other three temperatures.</p>
</sec>
</sec>
<sec id="s5">
<title>5 Conclusion</title>
<p>The results of split-split-plot analysis of variance showed that water temperature has a significant effect on the expression of <italic>T. rubripes</italic> cold resistant genes, while tissue &#xd7; gene interaction has a highly significant effect on it. On the whole, the expression of AFP1, in the nine tissues, were power functions with temperature, that of CIRP were two- and three-degree polynomial with temperature, and that of HMGB1 and YB-1 were three-degree polynomial with temperature.</p>
<p>The results of AMMI analysis showed that expression of AFP1, CIRP, YB-1, and HMGB1 was significantly affected by genotype, tissue, and genotype &#xd7; tissue interactions at different temperatures and that the contributions of these effects followed certain trends. The patterns suggest that: 1) as temperature decreased, the gene effect increased gradually and the genotype &#xd7; tissue interaction decreased gradually; 2) 18 and 13 &#xb0;C are in the temperature range in which antifreeze gene expression is inactive, whereas expression is active at 8 and 5 &#xb0;C; and 3) 8 &#xb0;C may be in the transition temperature range in which gene expression changes from inactive to active.</p>
<p>The results of the GGE biplot analysis showed that at all temperatures except 8 &#xb0;C, the expression of AFP1, CIRP, YB-1, and HMGB1 was highly positively correlated in all tissues except muscle, thus the expression rankings in those eight tissues were basically the same at the three temperatures. At 5, 13, and 18 &#xb0;C, muscle had the strongest ability to distinguish expression of the four genes, followed by skin, which likely is because these two organs are in close contact with the changing external environment. At 5 and 8 &#xb0;C, the nine tissues were clustered into one region and at 13 and 18 &#xb0;C they were divided into two regions, possibly due to different levels of antifreeze gene expression activity at 18 &#xb0;C/13 vs 8 &#xb0;C/5 &#xb0;C. At 5, 13, and 18 &#xb0;C, the expression rankings of the four genes were similar, and the expression stability of the genes was the same at 18 &#xb0;C/13 &#xb0;C and at 8 &#xb0;C/5 &#xb0;C, possibly due to different levels of antifreeze gene expression at higher vs lower temperatures. Among the four genes, AFP1 showed the best expression and stability.</p>
<p>These findings can be used to develop cold-resistant strains of <italic>T. rubripes</italic>. When carrying out low temperature tolerance breeding, it is crucial to identify the temperature range for low temperature tolerance experiments. We identified 8 &#xb0;C/5 &#xb0;C as the suitable temperature for such experiments for <italic>T. rubripes</italic>. Due to the interaction between genes and the tissues in which they are expressed, the expression of the same gene differs among tissues. Therefore, in molecular breeding, selecting the best tissue for studying the expression of a specific gene is important. We found that muscle and skin were the preferred tissues for studying antifreeze gene expression in <italic>T. rubripes</italic>. Screening for antifreeze genes with high expression and high stability is the key to the success of low temperature tolerance breeding. Among the four antifreeze genes evaluated in this study, AFP1 had the best expression and stability.</p>
</sec>
</body>
<back>
<sec id="s6" sec-type="data-availability">
<title>Data Availability Statement</title>
<p>The original contributions presented in the study are included in the <xref ref-type="sec" rid="s11">Supplementary Material</xref>, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s7">
<title>Author Contributions</title>
<p>Conceptualisation, funding acquisition, XW and AM; data curation, formal analysis, investigation, XW and ZL; methodology, writing&#x2014;original draft preparation, XW; project administration, supervision, AM; resources, AM and ZL; writing&#x2014;review and editing, all authors. All authors have read and agreed to the published version of the manuscript.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>This work was supported by the National Key R and D Program of China (2018YFD0900102), the Earmarked Fund for the Modern AgroIndustry Technology Research System (Grant CARS-47-G01), the Agricultural Fine Breed Project of Shandong (2019LZGC013), the AoShan Talents Cultivation Program (2017ASTCPOS04), and the Central Public-interest Scientific Institution Basal Research Fund (grant number 2020TD25).</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<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="s10">
<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="s11">
<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/fmolb.2022.897935/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fmolb.2022.897935/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.docx" id="SM1" mimetype="application/docx" xmlns:xlink="http://www.w3.org/1999/xlink"/>
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