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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Physiol.</journal-id>
<journal-title>Frontiers in Physiology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Physiol.</abbrev-journal-title>
<issn pub-type="epub">1664-042X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1121599</article-id>
<article-id pub-id-type="doi">10.3389/fphys.2023.1121599</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Physiology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Discrimination between human normal renal tissue and renal cell carcinoma by dielectric properties using <italic>in-vitro</italic> BIA</article-title>
<alt-title alt-title-type="left-running-head">Wang 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/fphys.2023.1121599">10.3389/fphys.2023.1121599</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Hang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1876355/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Shi</surname>
<given-names>Xuetao</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2023208/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Cao</surname>
<given-names>Xinsheng</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Dong</surname>
<given-names>Xiuzhen</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Yang</surname>
<given-names>Lin</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/1563272/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Department of Aerospace Medicine</institution>, <institution>Fourth Military Medical University</institution>, <addr-line>Xi&#x2019;an</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Biomedical Engineering</institution>, <institution>Fourth Military Medical University</institution>, <addr-line>Xi&#x2019;an</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/692483/overview">Jan Macutkevic</ext-link>, Vilnius University, Lithuania</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/2147644/overview">&#xd8;rjan Gr&#xf8;ttem Martinsen</ext-link>, University of Oslo, Norway</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/517144/overview">Lexa Nescolarde</ext-link>, Universitat Politecnica de Catalunya, Spain</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Lin Yang, <email>yanglin.0601@163.com</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Renal Physiology and Pathophysiology, a section of the journal Frontiers in Physiology</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>17</day>
<month>03</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>14</volume>
<elocation-id>1121599</elocation-id>
<history>
<date date-type="received">
<day>12</day>
<month>12</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>02</day>
<month>03</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Wang, Shi, Cao, Dong and Yang.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Wang, Shi, Cao, Dong and Yang</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>Renal cell carcinoma (RCC) poses a serious threat to human health, which urgently requires a method that can quickly distinguish between human normal renal tissue (NRT) and RCC for the purpose of accurate detection in clinical practice. The significant difference in cell morphology between NRT and RCC tissue underlies the great potential of the bioelectrical impedance analysis (BIA) to distinguish two types of human tissues. The study aims to achieve such discrimination through comparison of their dielectric properties within the frequency range from 10&#xa0;Hz to 100&#xa0;MHz. The dielectric properties of 69 cases of human normal and cancer renal tissue were measured 15&#xa0;min after tissue isolation in a strictly controlled environment (37&#xb0;C, 90% humidity). In addition to the impedance parameters (resistivity, conductivity and relative permittivity), the characteristic parameters extracted from the Cole curve were also compared between NRT and RCC. Furthermore, a novel index, distinguishing coefficient (DC), was used to obtain the optimal frequency for discrimination between NRT and RCC. In terms of impedance parameters, the RCC conductivity at low frequencies (&#x3c;1&#xa0;kHz) was about 1.4 times as large as that of NRT, and its relative permittivity was also significantly higher (<italic>p</italic> &#x3c; 0.05). In terms of characteristic parameters, two characteristic frequencies (14.1 &#xb1; 1.1&#xa0;kHz and 1.16 &#xb1; 0.13&#xa0;MHz) were found for NRT while only one for RCC (0.60 &#xb1; 0.05&#xa0;MHz). A significant difference of low-frequency resistance (R<sub>0</sub>) between RCC and NRT was also observed (<italic>p</italic> &#x3c; 0.05). As for the new index DC, relative permittivity DCs below 100&#xa0;Hz and at around 14&#xa0;kHz were both greater than 1. These findings further confirm the feasibility of discrimination between RCC and NRT and also provide data in favor of further clinical study of BIA to detect the surgical margins.</p>
</abstract>
<kwd-group>
<kwd>dielectric properties</kwd>
<kwd>characteristic parameters</kwd>
<kwd>renal cell carcinoma</kwd>
<kwd>distinguishing coefficient</kwd>
<kwd>human normal kidney</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>In recent years, the incidence of renal tumor has gradually increased, which poses a serious threat to human health (<xref ref-type="bibr" rid="B14">Makino et al., 2022</xref>). Renal cancer accounts for about 2.4% of all malignancies in adults, with more than 400,000 new cases diagnosed and about 180,000 deaths worldwide in 2020 according to GLOBOCAN data (<xref ref-type="bibr" rid="B22">Sung et al., 2021</xref>). An epidemiological survey reveals that the incidence of renal cancer in common tumors has been stable in the top eight in United Kingdom and United States and accounts for 4% of all new cancer cases (<xref ref-type="bibr" rid="B16">Rai et al., 2022</xref>; <xref ref-type="bibr" rid="B21">Siegel et al., 2022</xref>). The incidence of renal tumors is growing steadily every year (<xref ref-type="bibr" rid="B10">Klatte et al., 2015</xref>) and approximately 90% of primary renal tumors are renal cell carcinoma (RCC) (<xref ref-type="bibr" rid="B5">Goodarzi et al., 2018</xref>).</p>
<p>The widespread use of contemporary imaging techniques has made the detection of small incidental renal tumors possible (<xref ref-type="bibr" rid="B7">Inagaki et al., 2004</xref>). Diagnosed at an early stage, RCC is often dealt with partial nephrectomy, which is an accepted surgical procedure for localized RCC (<xref ref-type="bibr" rid="B10">Klatte et al., 2015</xref>). The treatments of RCC include surgery, radio frequency ablation and cryoablation therapy, in all of which a layer of normal renal tissue (NRT) is often removed with RCC tissue in order to avoid positive surgical margins. The thickness of NRT mainly relies on the surgical experience of the doctor and a smaller surgical margin is known to be beneficial for the reduction of postoperative injuries (<xref ref-type="bibr" rid="B11">Lam et al., 2008</xref>). Therefore, a detection method that can quickly distinguish between NRT and RCC is highly required in clinical practice to accurately detect the surgical margins.</p>
<p>Bioelectrical impedance is one of the essential biophysical properties of biological tissue, which is determined by the tissue microstructure. Each tissue has specific dielectric properties, such as conductivity, permittivity, resistivity and so on. Numerous studies have demonstrated that tissue dielectric properties are highly correlated to cell arrangement and microstructure that reflect physiological or pathological information of the tissue. Also, the measurement of bioelectrical impedance is very easy to carry out, in which safe currents are injected into the targeted human body and the boundary voltages induced by body&#x2019;s internal tissue are measured through the surface electrodes. So far, BIA has been widely used in biomedical applications, such as stroke detection, cancer detection and ventilation monitoring (<xref ref-type="bibr" rid="B1">Brown et al., 2000</xref>). Because significant difference exists in cell morphology between NRT and RCC tissue, BIA has great potential to distinguish between NRT and RCC in theory.</p>
<p>Up to now, several studies have investigated the dielectric properties of NRT and RCC. Takeshi <italic>et al</italic> (<xref ref-type="bibr" rid="B7">Inagaki et al., 2004</xref>) measured the capacitance of <italic>ex vivo</italic> human kidney tissues freshly obtained after surgical excision at the frequency of 1&#xa0;MHz, and found the ratio of tumor-to-normal tissue dielectric permittivity could be up to about 1.4 for cell carcinoma. However, the <italic>ex vivo</italic> time was not strictly controlled and recorded, which resulted in a large standard deviation in the measurement results. Yun <italic>et al</italic> (<xref ref-type="bibr" rid="B27">Yun et al., 2016</xref>) found a significant difference in dielectric spectroscopy between human normal and cancer renal tissue by using a micro electrical impedance spectroscopy-on-a-needle (two-electrode strategy) at frequencies from 100&#xa0;Hz to 1&#xa0;MHz. But they pointed out that non-negligible needle distortions might occur when the boundaries between the tissues were unclear, which led to an inaccurate extraction of dielectric properties of tissue (<xref ref-type="bibr" rid="B9">Kim et al., 2019</xref>). Additionally, similar results from animal tissue were also obtained (<xref ref-type="bibr" rid="B23">TV et al., 2020</xref>). These previous studies showed the difference in the dielectric properties between NRT and RCC, but the measurement results could not be directly compared for clinical use. First, the measurement conditions were not strictly controlled, such as temperature, humidity and <italic>ex vivo</italic> time. Second, the measurement parameters were inconsistent, such as frequency range and strategy of electrode use. Third, the tissue samples were not all from the human body. In conclusion, to our knowledge, no study has carried out a comprehensive measurement as well as analysis of the dielectric properties of human NRT and RCC in a wide frequency range within as short as possible an <italic>ex vivo</italic> time.</p>
<p>In this study, the dielectric properties of both NRT and RCC from human body were measured from 10&#xa0;Hz to 100&#xa0;MHz in a strictly controlled environment (37 &#xb0;C, 90% humidity) within 15&#xa0;min after the tissue was isolated. In addition, the dielectric properties of NRT and RCC were comprehensively compared to obtain the quantitative indices to differentiate between NRT and RCC.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>2 Methods and materials</title>
<sec id="s2-1">
<title>2.1 Ethical statement and sample source</title>
<p>This study was approved by the Medical Ethics Committee of the Fourth Military Medical University [Approval No. FMMU-E-III-001(1)]. The experiment was conducted in accordance with the Declaration of Helsinki 1975, as revised in 2000.</p>
<p>A total of 69 renal tissue samples were obtained from 41 patients who underwent nephrectomy for renal tumor in the general surgery operating room of Xijing Hospital. All tissue samples were stained for pathological HE and finally confirmed for cancer type by the Pathology Department of Xijing Hospital. The tumor types of 41 patients included renal clear cell carcinoma (34 cases), papillary carcinoma (4 cases), and chromophore cell carcinoma (3 cases), which all belong to RCC. Another 28 cases of normal renal parenchyma were taken from the tissues adjacent to tumor. Because the renal clear cell carcinoma is the most common type of RCC (<xref ref-type="bibr" rid="B6">Hsieh et al., 2017</xref>), this study mainly focuses on the comparison of the dielectric properties of NRT and renal clear cell carcinoma.</p>
</sec>
<sec id="s2-2">
<title>2.2 Measurement of dielectric properties</title>
<p>During operation, a tissue sample was immediately sent to the infant incubator (Daiwei, Ningbo, China) following excision. Then the tissue was clipped into a measurement cell after being trimmed to ensure the measurement accuracy. The measurement cell was cylindrical (<xref ref-type="fig" rid="F1">Figure 1</xref>), whose structural parameters were described in our previous studies (<xref ref-type="bibr" rid="B25">Wang et al., 2021</xref>). The two electrodes embedded at the lid of the cell served as excitation electrodes, and the other two electrodes embedded in the inner wall of the cell functioned as measuring electrodes. The whole measurement process was performed in the infant incubator to maintain a constant environment (37&#xb0;C, 90% humidity). Additionally, in order to shorten the <italic>ex vivo</italic> time as much as possible, all measurements were completed within 15&#xa0;min after the tissue was isolated.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Measurement cell with four electrodes.</p>
</caption>
<graphic xlink:href="fphys-14-1121599-g001.tif"/>
</fig>
<p>The measurement of dielectric properties was implemented by using the measurement platform developed by our group, which consisted of two impedance analyzers (<xref ref-type="bibr" rid="B25">Wang et al., 2021</xref>). On one hand, the Solartron1260 impedance analyzer (Schlumberger, United Kingdom) with a Solartron 1294 biological impedance interface was employed to measure the dielectric properties from 10Hz to 1&#xa0;MHz with the four-electrode method, which was used to eliminate the polarization effect of the electrode and contact impedance. On the other hand, thee Agilent 4294A impedance analyzer (Agilent Technologies, United States) was utilized to measure the dielectric properties from 10kHz to 100&#xa0;MHz with the two-electrode method, which was applied to minimize the adverse effect of stray capacitance and inductance from the measurement cell and wire on the recorded results. A 0.5&#xa0;mA RMS signal was adopted across two exciting electrodes with logarithmically sweeping frequency with a manner of 10 points per tenfold frequency for both the impedance analyzers. Moreover, before measurement of human tissue, both the impedance analyzers were calibrated by using a 0.03&#xa0;mol/L saline solution. The reliability of our measurement platform has been verified in our previous studies (<xref ref-type="bibr" rid="B24">Wang et al., 2015</xref>).</p>
</sec>
<sec id="s2-3">
<title>2.3 Analysis of dielectric properties</title>
<sec id="s2-3-1">
<title>2.3.1 Impedance parameters</title>
<p>The complex admittance <italic>Y</italic> of human tissue can be denoted by:<disp-formula id="e1">
<mml:math id="m1">
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<label>(1)</label>
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<mml:mrow>
<mml:mi mathvariant="normal">I</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
<disp-formula id="e4">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mi mathvariant="normal">L</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">&#x3c9;</mml:mi>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mi mathvariant="normal">I</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">Y</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="normal">L</mml:mi>
<mml:mo>&#x2219;</mml:mo>
<mml:mi mathvariant="normal">I</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mi mathvariant="normal">&#x3c9;</mml:mi>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">I</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
</p>
<p>As a result, the real part <inline-formula id="inf7">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and imaginary part <inline-formula id="inf8">
<mml:math id="m12">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> of the complex resistivity (<italic>&#x3c1;</italic>) of the measured tissue could be denoted as follows, in which conductivity, relative permittivity and the size of the measurement sample are related:<disp-formula id="e5">
<mml:math id="m13">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mi>&#x3c3;</mml:mi>
<mml:mrow>
<mml:msup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>&#x3c9;</mml:mi>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mi>r</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2219;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
<disp-formula id="e6">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x3c9;</mml:mi>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mi>r</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msup>
<mml:mi>&#x3c3;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>&#x3c9;</mml:mi>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mi>r</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2219;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>S</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
</p>
</sec>
<sec id="s2-3-2">
<title>2.3.2 Characteristic parameters</title>
<p>In addition to analyzing the resistivity, conductivity and relative permittivity, the characteristic parameters of NRT and RCC from the Cole curve were also extracted. The dielectric properties of the tissue could be denoted by the Cole formula:<disp-formula id="e7">
<mml:math id="m15">
<mml:mrow>
<mml:mi mathvariant="normal">Z</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="normal">f</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi>&#x221e;</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi>&#x221e;</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="normal">j</mml:mi>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="normal">f</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">f</mml:mi>
<mml:mi mathvariant="normal">c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi mathvariant="normal">&#x3b1;</mml:mi>
</mml:msup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>where <italic>R</italic>
<sub>
<italic>0</italic>
</sub> is the impedance under direct current; <italic>R</italic>
<sub>
<italic>&#x221e;</italic>
</sub> is the impedance at infinite frequency; <italic>&#x3b1;</italic> is the dispersion parameter (<inline-formula id="inf9">
<mml:math id="m16">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x3e;</mml:mo>
<mml:mi>&#x3b1;</mml:mi>
<mml:mo>&#x2265;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula>); <italic>f</italic>
<sub>
<italic>c</italic>
</sub> is the characteristic frequency of the tissue (<xref ref-type="bibr" rid="B2">Cole, 1932</xref>). Biological tissue has different dispersion intervals resulting from different occurrence mechanisms (<xref ref-type="bibr" rid="B20">Schwan, 1993</xref>). To denote multiple dispersion intervals, the Cole formula was expanded as the following form:<disp-formula id="e8">
<mml:math id="m17">
<mml:mrow>
<mml:mi mathvariant="normal">Z</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="normal">f</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi>&#x221e;</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">n</mml:mi>
</mml:msubsup>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2206;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="normal">j</mml:mi>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="normal">f</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">f</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">c</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b1;</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
</mml:msup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>where <italic>i</italic> indicates the <italic>i</italic>th dispersion interval; <italic>&#x394;R</italic>
<sub>
<italic>i</italic>
</sub> is the impedance increment in the <italic>i</italic>th dispersion interval. All characteristic parameters were used to distinguish NRT from RCC tissue.</p>
</sec>
<sec id="s2-3-3">
<title>2.3.3 Optimal frequency for discrimination between RCC and NRT</title>
<p>In order to remove the magnitude difference of dielectric parameter in the whole frequency range and to reflect the reproducibility of the experimental results, a new index, distinguishing coefficient (DC), was used to obtain the optimal frequency. DC for two different types of tissue was defined by:<disp-formula id="e9">
<mml:math id="m18">
<mml:mrow>
<mml:mi mathvariant="normal">D</mml:mi>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi>n</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>where M, D, c, and n denote the mean value, standard deviation, cancer tissue, and normal tissue, respectively.</p>
<p>In this study, DC was respectively calculated for four impedance parameters including <inline-formula id="inf10">
<mml:math id="m19">
<mml:mrow>
<mml:mi mathvariant="normal">&#x3c3;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf11">
<mml:math id="m20">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf12">
<mml:math id="m21">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf13">
<mml:math id="m22">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, which are frequency-dependent.</p>
</sec>
</sec>
<sec id="s2-4">
<title>2.4 Statistical analysis</title>
<p>In this study, SPSS 23.0 (IBM Software, Armonk, NY) was employed for statistical analysis. The impedance parameters (<inline-formula id="inf14">
<mml:math id="m23">
<mml:mrow>
<mml:mi mathvariant="normal">&#x3c3;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>; <inline-formula id="inf15">
<mml:math id="m24">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>; <inline-formula id="inf16">
<mml:math id="m25">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>; <inline-formula id="inf17">
<mml:math id="m26">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) and the characteristic parameters (<italic>R</italic>
<sub>
<italic>0</italic>
</sub>, <italic>R</italic>
<sub>
<italic>&#x221e;</italic>
</sub>, <italic>&#x3b1;</italic> and <italic>f</italic>
<sub>
<italic>c</italic>
</sub>) were compared at different frequencies between NRT and RCC with independent sample <italic>t</italic>-test analysis. <italic>p</italic> &#x3c; 0.05 was deemed statistically significant. To evaluate the ability of impedance parameters for discrimination between NRT and RCC, the receiver operator characteristics (ROC) analysis was employed to calculate the sensitivity, specificity, and area under the ROC curve (AUC). In the ROC analysis, the four parameters (<inline-formula id="inf18">
<mml:math id="m27">
<mml:mrow>
<mml:mi mathvariant="normal">&#x3c3;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>; <inline-formula id="inf19">
<mml:math id="m28">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>; <inline-formula id="inf20">
<mml:math id="m29">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>; <inline-formula id="inf21">
<mml:math id="m30">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) at the frequency with largest DCs were selected to discriminate between NRT and RCC.</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1 Difference in impedance parameters between NRT and RCC</title>
<p>
<xref ref-type="fig" rid="F2">Figure 2</xref> shows the changes in conductivity and relative permittivity of NRT and RCC tissue with frequency. The NRT conductivity changed slightly below 5kHz, as did the RCC conductivity. But across this frequency range, there were significant differences in the conductivity between NRT and RCC (<italic>p</italic> &#x3c; 0.05, <xref ref-type="fig" rid="F2">Figure 2A</xref>). Above 5&#xa0;kHz, the conductivity of both NRT and RCC increased rapidly with frequency. In contrast, the relative permittivity of both NRT and RCC had a fast and monotonic decrease with frequency across the whole frequency. However, the relative permittivity of RCC was significantly higher than that of NRT below 100&#xa0;Hz (<italic>p</italic> &#x3c; 0.05) whereas the relative permittivity of NRT was significantly higher than that of RCC from 5&#xa0;kHz to 40&#xa0;kHz (<italic>p</italic> &#x3c; 0.05, <xref ref-type="fig" rid="F2">Figure 2B</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Changes in <bold>(A)</bold> conductivity and <bold>(B)</bold> relative permittivity of normal renal tissue (NRT) and renal cell carcinoma (RCC) with frequency. &#x2a;<italic>p</italic> &#x3c; 0.05, &#x2a;&#x2a;<italic>p</italic> &#x3c; 0.01.</p>
</caption>
<graphic xlink:href="fphys-14-1121599-g002.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F3">Figure 3</xref> shows the changes in <inline-formula id="inf22">
<mml:math id="m31">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf23">
<mml:math id="m32">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> of NRT and RCC tissue with frequency. While <inline-formula id="inf24">
<mml:math id="m33">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> of NRT and RCC decreased with frequency, <inline-formula id="inf25">
<mml:math id="m34">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> of NRT was significantly greater than that of RCC below 5&#xa0;kHz and above 90&#xa0;MHz (<italic>p</italic> &#x3c; 0.05). Over the frequency, <inline-formula id="inf26">
<mml:math id="m35">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> of NRT increased rapidly to the first peak (65.2 &#xb1; 13.6&#xa0;&#x3a9;&#xa0;cm) at 14&#xa0;kHz before starting to decrease, and continue to fall following a second peak (50.4 &#xb1; 5.1&#xa0;&#x3a9;&#xa0;cm) at 1.2&#xa0;MHz. For <inline-formula id="inf27">
<mml:math id="m36">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> of RCC, it had a similar trend with a peak (44.2 &#xb1; 14.3&#xa0;&#x3a9;&#xa0;cm) at 600&#xa0;kHz. <inline-formula id="inf28">
<mml:math id="m37">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> of NRT was significantly larger than that of RCC within 100 Hz&#x2013;200&#xa0;kHz and above 5&#xa0;MHz.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Changes in the <bold>(A)</bold> real part (&#x03C1;re) and <bold>(B)</bold> imaginary part (&#x03C1;im) of resistivity of normal renal tissue (NRT) and renal cell carcinoma (RCC) with frequency. &#x2a;<italic>p</italic> &#x3c; 0.05, &#x2a;&#x2a;<italic>p</italic> &#x3c; 0.01.</p>
</caption>
<graphic xlink:href="fphys-14-1121599-g003.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>3.2 Difference in characteristic parameters between NRT and RCC</title>
<p>
<xref ref-type="fig" rid="F4">Figure 4</xref> shows the Cole-Cole curves for NRT and RCC by using both mean of <inline-formula id="inf31">
<mml:math id="m40">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf32">
<mml:math id="m41">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> at each frequency. Obviously, there were two dispersions for NRT while there was only one dispersion for RCC. The dispersion position for RCC approximated that of the second dispersion for NRT. <xref ref-type="table" rid="T1">Table 1</xref> shows the characteristic parameters of NRT and RCC. Significant differences between NRT and RCC were found in terms of R<sub>0</sub> (<italic>p</italic> &#x3c; 0.01), f<sub>c2</sub> (<italic>p</italic> &#x3c; 0.001) and R<sub>&#x221e;</sub> (<italic>p</italic> &#x3c; 0.01).</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Cole&#x2013;Cole curves of normal renal tissue (NRT) and renal cell carcinoma (RCC).</p>
</caption>
<graphic xlink:href="fphys-14-1121599-g004.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>The characteristic parameters of normal renal tissue and renal cell carcinoma.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center"/>
<th align="center">R<sub>0</sub>(&#x3a9;)</th>
<th align="center">f<sub>c1</sub> (kHz)</th>
<th align="center">&#x3b1;<sub>1</sub>
</th>
<th align="center">&#x394;R<sub>1</sub>(&#x3a9;)</th>
<th align="center">f<sub>c2</sub> (MHz)</th>
<th align="center">&#x3b1;<sub>2</sub>
</th>
<th align="center">&#x394;R<sub>2</sub>(&#x3a9;)</th>
<th align="center">R<sub>&#x221e;</sub>(&#x3a9;)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">NRT</td>
<td align="center">480 &#xb1; 21</td>
<td align="center">14.1 &#xb1; 1.1</td>
<td align="center">0.77 &#xb1; 0.03</td>
<td align="center">124 &#xb1; 12</td>
<td align="center">1.16 &#xb1; 0.13</td>
<td align="center">0.42 &#xb1; 0.03</td>
<td align="center">279 &#xb1; 13</td>
<td align="center">76 &#xb1; 5</td>
</tr>
<tr>
<td align="center">RCC</td>
<td align="center">346 &#xb1; 55&#x2a;&#x2a;</td>
<td align="center">---</td>
<td align="center">---</td>
<td align="center">---</td>
<td align="center">0.60 &#xb1; 0.05&#x2a;&#x2a;&#x2a;</td>
<td align="center">0.45 &#xb1; 0.04</td>
<td align="center">249 &#xb1; 22</td>
<td align="center">97 &#xb1; 12&#x2a;&#x2a;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>&#x2a;<italic>p</italic> &#x3c; 0.05; &#x2a;&#x2a;<italic>p</italic> &#x3c; 0.01; &#x2a;&#x2a;&#x2a;<italic>p</italic> &#x3c; 0.001.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3-3">
<title>3.3 Optimal frequency to distinguish between RCC and NRT</title>
<p>
<xref ref-type="fig" rid="F5">Figure 5</xref> shows the DC changes of <inline-formula id="inf33">
<mml:math id="m42">
<mml:mrow>
<mml:mi mathvariant="normal">&#x3c3;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf34">
<mml:math id="m43">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf35">
<mml:math id="m44">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf36">
<mml:math id="m45">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> with frequency for normal renal tissue (NRT) and renal cell carcinoma (RCC). Comparatively, <inline-formula id="inf37">
<mml:math id="m46">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mi>r</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> had the largest DC around 14&#xa0;kHz, indicating that <inline-formula id="inf38">
<mml:math id="m47">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mi>r</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> around 14&#xa0;kHz might have the optimal discrimination capability. While <inline-formula id="inf39">
<mml:math id="m48">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> had the largest DC around 10&#xa0;kHz. DC values of <inline-formula id="inf40">
<mml:math id="m49">
<mml:mrow>
<mml:mi mathvariant="normal">&#x3c3;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf41">
<mml:math id="m50">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> under 1&#xa0;KHz have hardly changed, and the largest DC of them appeared at around 633&#xa0;Hz. The DC changes of <inline-formula id="inf42">
<mml:math id="m51">
<mml:mrow>
<mml:mi mathvariant="normal">&#x3c3;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf43">
<mml:math id="m52">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are similar below 10&#xa0;MHz.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Changes in distinguishing coefficients of &#x3c3;, <inline-formula id="inf44">
<mml:math id="m53">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf45">
<mml:math id="m54">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf46">
<mml:math id="m55">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> with frequency for normal renal tissue (NRT) and renal cell carcinoma (RCC).</p>
</caption>
<graphic xlink:href="fphys-14-1121599-g005.tif"/>
</fig>
<p>ROC analysis showed that the AUCs of &#x3c3;, <inline-formula id="inf47">
<mml:math id="m56">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf48">
<mml:math id="m57">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf49">
<mml:math id="m58">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> were 0.896, 0.975, 0.876, and 0.997 for RCC prediction, respectively. The sensitivity and specificity ranged from 0.823 to 1 and from 0.735 to 0.964, respectively (<xref ref-type="fig" rid="F6">Figure 6</xref>; <xref ref-type="table" rid="T2">Table 2</xref>).</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Receiver operating characteristic (ROC) curve of dielectric parameters (&#x3c3;, <inline-formula id="inf50">
<mml:math id="m59">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>; <inline-formula id="inf51">
<mml:math id="m60">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>; <inline-formula id="inf52">
<mml:math id="m61">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) for ability to predict RCC. <bold>(A)</bold> Conductivity at 633&#xa0;Hz. <bold>(B)</bold> Relative permittivity at 14&#xa0;kHz. <bold>(C)</bold> Real part of resistivity at 633&#xa0;Hz. <bold>(D)</bold> Imaginary part of resistivity at 10&#xa0;kHz. The areas under the ROC curve (AUC) of &#x3c3;, <inline-formula id="inf53">
<mml:math id="m62">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf54">
<mml:math id="m63">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf55">
<mml:math id="m64">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> were 0.896, 0.975, 0.876, and 0.997 for RCC prediction, respectively. The sensitivity and specificity ranged from 0.823 to 1 and from 0.735 to 0.964, respectively.</p>
</caption>
<graphic xlink:href="fphys-14-1121599-g006.tif"/>
</fig>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Area under the receiver operator characteristic curves for ability to predict RCC for dielectric parameters.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center"/>
<th align="center">&#x3c3;</th>
<th align="center">
<inline-formula id="inf56">
<mml:math id="m65">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<inline-formula id="inf57">
<mml:math id="m66">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">r</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<inline-formula id="inf58">
<mml:math id="m67">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3c1;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">i</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">AUC</td>
<td align="center">0.896</td>
<td align="center">0.975</td>
<td align="center">0.876</td>
<td align="center">0.997</td>
</tr>
<tr>
<td align="center">Cut-off value</td>
<td align="center">0.225</td>
<td align="center">53,570.03</td>
<td align="center">411.00</td>
<td align="center">34.69</td>
</tr>
<tr>
<td align="center">J-youden</td>
<td align="center">0.609</td>
<td align="center">0.876</td>
<td align="center">0.628</td>
<td align="center">0.964</td>
</tr>
<tr>
<td align="center">Sensitivity</td>
<td align="center">0.823</td>
<td align="center">0.964</td>
<td align="center">0.892</td>
<td align="center">1</td>
</tr>
<tr>
<td align="center">Specificity</td>
<td align="center">0.785</td>
<td align="center">0.911</td>
<td align="center">0.735</td>
<td align="center">0.964</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>AUC, area under receiver operator characteristic curve.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>4 Discussion</title>
<p>In this study, the dielectric properties of human NRT and RCC were measured within a wide frequency range from 10&#xa0;Hz to 100&#xa0;MHz in a strictly controlled environment (37&#xb0;C, 90% humidity) within 15&#xa0;min after the tissue was isolated, and all dielectric parameters were comprehensively compared.</p>
<p>Previous studies showed that the dielectric properties of biological tissue were closely related to the microscopic state of the tissue, which were primarily influenced by temperature, humidity and, in particular, <italic>ex vivo</italic> time (<xref ref-type="bibr" rid="B25">Wang et al., 2021</xref>; <xref ref-type="bibr" rid="B12">Li et al., 2022</xref>). With the prolongation of <italic>ex vivo</italic> time, the lysosome membrane broke and various hydrolases were released, which hydrolyzed the cell components, and even resulted in the collapse of cell morphology and structure (<xref ref-type="bibr" rid="B24">Wang et al., 2015</xref>). These changes of the microscopic state of tissue further caused the variation of ionic content and mobility, which directly altered the flow path of the current. Thus, the dielectric properties of tissue gradually changed with <italic>ex vivo</italic> time. This may be the reason to explain the large difference in the dielectric properties of the same tissue measured by different research groups (<xref ref-type="bibr" rid="B4">Gabriel et al., 1996</xref>; <xref ref-type="bibr" rid="B23">TV et al., 2020</xref>). In this study, to reduce the effect of <italic>ex vivo</italic> time on tissue dielectric properties, all measurements were carried out within 15&#xa0;min after the tissue was isolated, and temperature and humidity were maintained at levels close to an <italic>in vivo</italic> state.</p>
<p>Takeshi <italic>et al</italic> (<xref ref-type="bibr" rid="B7">Inagaki et al., 2004</xref>) found that tissue capacitance measurement was useful to distinguish between renal tumor tissue and normal kidney parenchyma in <italic>ex vivo</italic> tissue. However, they focused mainly on the capacitance characteristics at 1&#xa0;MHz and did not analyze the dielectric properties over a wide frequency range, which contains more valuable information to characterize tissue state. Yun <italic>et al</italic> (<xref ref-type="bibr" rid="B27">Yun et al., 2016</xref>) specially designed a micro electrical needle to measure the dielectric properties of normal renal and cancer tissue from 100&#xa0;Hz to 1&#xa0;MHz with the two-electrode strategy. Nevertheless, the measured dielectric properties might be severely affected by electrode polarization because electrode-tissue contact impedance was largely greater than tissue impedance at the low frequencies (below 1&#xa0;kHz) (<xref ref-type="bibr" rid="B3">Gabriel et al., 2009</xref>). In this study, the dielectric properties of NRT and RCC were measured within a wide frequency range from 10&#xa0;Hz to 100&#xa0;MHz by combining the four-electrode and two-electrode method, and the dielectric parameters were further compared, including impedance parameters, characteristic parameters and optimal frequency to distinguish between RCC and NRT.</p>
<p>Originated from the renal epithelium, RCC can be divided into 10 subtypes, including clear cell carcinoma, papillary renal cell carcinoma, chromophobe cell carcinoma and collecting duct carcinoma. Of all the subtypes, clear cell RCC is the most common and accounts for most cancer-related deaths (<xref ref-type="bibr" rid="B17">Rini et al., 2009</xref>) (<xref ref-type="bibr" rid="B13">Lobo et al., 2022</xref>), which is also the chief subtype of the measured RCC samples in this study determined by pathological results. Because clear cell RCC arises from renal parenchyma, renal parenchyma surrounding the RCC was excised to be measured for dielectric properties so that a direct comparison could be made in this study. We found that the conductivity of RCC at low frequencies (&#x3c;1&#xa0;kHz) was about 1.4 times as large as that of NRT, and the relative permittivity was also significantly greater than that of NRT (<xref ref-type="fig" rid="F2">Figure 2</xref>). This may be related to the significant difference in the histological structure between RCC and NRT. Compared with normal tissue, the tumor cells are often enlarged with broad transparent cytoplasm and also rich in glycogen and lipids (<xref ref-type="bibr" rid="B8">Iwamoto et al., 2018</xref>). Such changes in the histological structure enhance the ability of cells to conduct electricity and store charges.</p>
<p>Biological tissue usually exhibit different dispersions as frequency changes, including &#x3b1;-dispersion (from 10&#xa0;Hz to &#x223c;10<sup>3</sup>&#xa0;Hz), &#x3b2;-dispersion (from 10<sup>3</sup> to &#x3c;10<sup>7</sup>&#xa0;Hz), &#x3b4;-dispersion (&#x3c;10<sup>10</sup>&#xa0;Hz) and &#x3b3;-dispersion (&#x3e;10<sup>10</sup>&#xa0;Hz) (<xref ref-type="bibr" rid="B19">Schwan, 1957</xref>). As shown in <xref ref-type="fig" rid="F2">Figure 2B</xref>, the relative permittivity of NRT and RCC had a strong frequency dependence within the low frequency range from 10&#xa0;Hz to 100&#xa0;Hz, which might belong to &#x3b1;-dispersion produced by ionic diffusion at the site of the cellular membrane at low frequencies (<xref ref-type="bibr" rid="B18">Schafer et al., 1999</xref>) (<xref ref-type="bibr" rid="B15">Monai et al., 2012</xref>). Correspondingly, a large peak (about 1.5) in DC for <inline-formula id="inf59">
<mml:math id="m68">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mi>r</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> was found around 10&#xa0;Hz (<xref ref-type="fig" rid="F5">Figure 5</xref>), indicating that the information on <inline-formula id="inf60">
<mml:math id="m69">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b5;</mml:mi>
<mml:mi>r</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> around 10&#xa0;Hz could be useful to distinguish between NRT and RCC. Another dielectric parameter with significant difference between NRT and RCC was the characteristic frequency (<italic>f</italic>
<sub>
<italic>c</italic>
</sub>). There were two characteristic frequencies for NRT (14.1 &#xb1; 1.1 kHz and 1.16 &#xb1; 0.13&#xa0;MHz) while only one for RCC (0.60 &#xb1; 0.05&#xa0;MHz). This phenomenon was also observed in the dielectric properties of human cancerous and normal lung tissue (<xref ref-type="bibr" rid="B26">Wang et al., 2014</xref>). These changes of dielectric properties might belong to &#x3b2;-dispersion, which principally attributed to the polarization of cellular membranes that block the ion flow between intracellular and extracellular media [20]. Additionally, a significant difference in the low-frequency resistance (R<sub>0</sub>) and the infinite-frequency resistance (R<sub>&#x221e;</sub>) between NRT and RCC was obtained, which was also caused by the difference in the cell morphology and tissue structure.</p>
</sec>
<sec sec-type="conclusion" id="s5">
<title>5 Conclusion</title>
<p>In this study, we comprehensively measured and compared the dielectric properties of human NRT and RCC from 10&#xa0;Hz to 100&#xa0;MHz in a strictly controlled environment (37&#xb0;C, 90% humidity) within 15min after the tissue was isolated. The results showed that the dielectric properties of RCC obviously differed from NRT (the RCC conductivity was about 1.4 times as large as that of NRT); there were two characteristic frequencies (14.1 &#xb1; 1.1&#xa0;kHz and 1.16 &#xb1; 0.13&#xa0;MHz) for NRT while only one for RCC (0.60 &#xb1; 0.05&#xa0;MHz); DCs of relative permittivity below 100&#xa0;Hz and at around 14&#xa0;kHz were both greater than 1. These findings further validate the feasibility of discrimination between human RCC from NRT and provide data in favor of further clinical study.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s7">
<title>Ethics statement</title>
<p>The studies involving human participants were reviewed and approved by the Medical Ethics Committee of the Fourth Military Medical University [Approval No. FMMU-E-III-001(1)]. The patients/participants provided their written informed consent to participate in this study.</p>
</sec>
<sec id="s8">
<title>Author contributions</title>
<p>HW, XD, and LY contributed to this research and subsequent manuscript from conception to final preparation. XS and XC helped design, collect, and analyze data. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec id="s9">
<title>Funding</title>
<p>This work was partially supported by the Key R&#x26;D Program of Shaanxi Province (2021SF-027, 2023-YBSF-130) and Medical Program of FMMU (Grant Nos. 2021HKYX25).</p>
</sec>
<sec sec-type="COI-statement" id="s10">
<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="s11">
<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>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Brown</surname>
<given-names>B. H.</given-names>
</name>
<name>
<surname>Tidy</surname>
<given-names>J. A.</given-names>
</name>
<name>
<surname>Boston</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Blackett</surname>
<given-names>A. D.</given-names>
</name>
<name>
<surname>Smallwood</surname>
<given-names>R. H.</given-names>
</name>
<name>
<surname>Sharp</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2000</year>). <article-title>Relation between tissue structure and imposed electrical current flow in cervical neoplasia</article-title>. <source>Lancet</source> <volume>355</volume>, <fpage>892</fpage>&#x2013;<lpage>895</lpage>. <pub-id pub-id-type="doi">10.1016/S0140-6736(99)09095-9</pub-id>
</citation>
</ref>
<ref id="B2">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cole</surname>
<given-names>K. S.</given-names>
</name>
</person-group> (<year>1932</year>). <article-title>Electric phase angle of cell membranes</article-title>. <source>J. Gen. Physiol.</source> <volume>15</volume>, <fpage>641</fpage>&#x2013;<lpage>649</lpage>. <pub-id pub-id-type="doi">10.1085/jgp.15.6.641</pub-id>
</citation>
</ref>
<ref id="B3">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gabriel</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Peyman</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Grant</surname>
<given-names>E. H.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>Electrical conductivity of tissue at frequencies below 1 MHz</article-title>. <source>Phys. Med. Biol.</source> <volume>54</volume>, <fpage>4863</fpage>&#x2013;<lpage>4878</lpage>. <pub-id pub-id-type="doi">10.1088/0031-9155/54/16/002</pub-id>
</citation>
</ref>
<ref id="B4">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gabriel</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Lau</surname>
<given-names>R. W.</given-names>
</name>
<name>
<surname>Gabriel</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>1996</year>). <article-title>The dielectric properties of biological tissues: II. Measurements in the frequency range 10 Hz to 20 GHz</article-title>. <source>Phys. Med. Biol.</source> <volume>41</volume>, <fpage>2251</fpage>&#x2013;<lpage>2269</lpage>. <pub-id pub-id-type="doi">10.1088/0031-9155/41/11/002</pub-id>
</citation>
</ref>
<ref id="B5">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Goodarzi</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Dehghani</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Khazaei</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Incidence and mortality rates of kidney cancers in Iran compared to its proportion throughout the world</article-title>. <source>J. Nephropharmacology</source> <volume>7</volume>, <fpage>137</fpage>&#x2013;<lpage>144</lpage>. <pub-id pub-id-type="doi">10.15171/npj.2018.28</pub-id>
</citation>
</ref>
<ref id="B6">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hsieh</surname>
<given-names>J. J.</given-names>
</name>
<name>
<surname>Purdue</surname>
<given-names>M. P.</given-names>
</name>
<name>
<surname>Signoretti</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Swanton</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Albiges</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Schmidinger</surname>
<given-names>M.</given-names>
</name>
<etal/>
</person-group> (<year>2017</year>). <article-title>Renal cell carcinoma</article-title>. <source>Nat. Rev. Dis. Prim.</source> <volume>3</volume>, <fpage>17009</fpage>. <pub-id pub-id-type="doi">10.1038/nrdp.2017.9</pub-id>
</citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Inagaki</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Bhayani</surname>
<given-names>S. B.</given-names>
</name>
<name>
<surname>Allaf</surname>
<given-names>M. E.</given-names>
</name>
<name>
<surname>Ong</surname>
<given-names>A. M.</given-names>
</name>
<name>
<surname>Rha</surname>
<given-names>K. H.</given-names>
</name>
<name>
<surname>Petresior</surname>
<given-names>D.</given-names>
</name>
<etal/>
</person-group> (<year>2004</year>). <article-title>Tumor capacitance: Electrical measurements of renal neoplasia</article-title>. <source>J. Urol.</source> <volume>172</volume>, <fpage>454</fpage>&#x2013;<lpage>457</lpage>. <pub-id pub-id-type="doi">10.1097/01.ju.0000129300.61874.17</pub-id>
</citation>
</ref>
<ref id="B8">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Iwamoto</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Abe</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Cui</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Seki</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Nakamura</surname>
<given-names>M.</given-names>
</name>
<etal/>
</person-group> (<year>2018</year>). <article-title>Cancer lipid metabolism confers antiangiogenic drug resistance</article-title>. <source>Cell Metab.</source> <volume>28</volume>, <fpage>104</fpage>&#x2013;<lpage>117</lpage>. <pub-id pub-id-type="doi">10.1016/j.cmet.2018.05.005</pub-id>
</citation>
</ref>
<ref id="B9">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kim</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Yun</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Cho</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Lee</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Enhancement of detection accuracy in depth-profiling using electrochemical impedance spectroscopy-on-a-needle by incremental compensation for immersion depth</article-title>. <source>J. Electroanal. Chem.</source> <volume>838</volume>, <fpage>48</fpage>&#x2013;<lpage>56</lpage>. <pub-id pub-id-type="doi">10.1016/j.jelechem.2019.02.046</pub-id>
</citation>
</ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Klatte</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Ficarra</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Gratzke</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Kaouk</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Kutikov</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Macchi</surname>
<given-names>V.</given-names>
</name>
<etal/>
</person-group> (<year>2015</year>). <article-title>A literature review of renal surgical anatomy and surgical strategies for partial nephrectomy</article-title>. <source>Eur. Urol.</source> <volume>68</volume>, <fpage>980</fpage>&#x2013;<lpage>992</lpage>. <pub-id pub-id-type="doi">10.1016/j.eururo.2015.04.010</pub-id>
</citation>
</ref>
<ref id="B11">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lam</surname>
<given-names>J. S.</given-names>
</name>
<name>
<surname>Bergman</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Breda</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Schulam</surname>
<given-names>P. G.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>Importance of surgical margins in the management of renal cell carcinoma</article-title>. <source>Nat. Clin. Pract. Urol.</source> <volume>5</volume>, <fpage>308</fpage>&#x2013;<lpage>317</lpage>. <pub-id pub-id-type="doi">10.1038/ncpuro1121</pub-id>
</citation>
</ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Peng</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Luo</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>The relationship between dielectric properties, thermoacoustic signals and temperature of liver tissues at 3.0 GHz</article-title>. <source>Front. Phys.</source> <volume>10</volume>. <pub-id pub-id-type="doi">10.3389/fphy.2022.939657</pub-id>
</citation>
</ref>
<ref id="B13">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lobo</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Ohashi</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Amin</surname>
<given-names>M. B.</given-names>
</name>
<name>
<surname>Berney</surname>
<given-names>D. M.</given-names>
</name>
<name>
<surname>Comperat</surname>
<given-names>E. M.</given-names>
</name>
<name>
<surname>Cree</surname>
<given-names>I. A.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>WHO 2022 landscape of papillary and chromophobe renal cell carcinoma</article-title>. <source>Histopathology</source> <volume>81</volume>, <fpage>426</fpage>&#x2013;<lpage>438</lpage>. <pub-id pub-id-type="doi">10.1111/his.14700</pub-id>
</citation>
</ref>
<ref id="B14">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Makino</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Kadomoto</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Izumi</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Mizokami</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Epidemiology and prevention of renal cell carcinoma</article-title>. <source>Cancers (Basel)</source> <volume>14</volume>, <fpage>4059</fpage>. <pub-id pub-id-type="doi">10.3390/cancers14164059</pub-id>
</citation>
</ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Monai</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Inoue</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Miyakawa</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Aonishi</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Low-frequency dielectric dispersion of brain tissue due to electrically long neurites</article-title>. <source>Phys. Rev. E Stat. Nonlin Soft Matter Phys.</source> <volume>86</volume>, <fpage>061911</fpage>. <pub-id pub-id-type="doi">10.1103/PhysRevE.86.061911</pub-id>
</citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Rai</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Premakumar</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Challacombe</surname>
<given-names>B.</given-names>
</name>
</person-group> <article-title>Active surveillance in renal cancer</article-title>. (<year>2022</year>): <fpage>87</fpage>&#x2013;<lpage>98</lpage>. <pub-id pub-id-type="doi">10.1007/978-3-030-84756-2_8</pub-id>
</citation>
</ref>
<ref id="B17">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Rini</surname>
<given-names>B. I.</given-names>
</name>
<name>
<surname>Campbell</surname>
<given-names>S. C.</given-names>
</name>
<name>
<surname>Escudier</surname>
<given-names>B.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>Renal cell carcinoma</article-title>. <source>Lancet</source> <volume>373</volume>, <fpage>1119</fpage>&#x2013;<lpage>1132</lpage>. <pub-id pub-id-type="doi">10.1016/S0140-6736(09)60229-4</pub-id>
</citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Schafer</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Kirlum</surname>
<given-names>H. J.</given-names>
</name>
<name>
<surname>Schlegel</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Gebhard</surname>
<given-names>M. M.</given-names>
</name>
</person-group> (<year>1999</year>). <article-title>Dielectric properties of skeletal muscle during ischemia in the frequency range from 50 Hz to 200 MHz</article-title>. <source>Ann. N Y Acad. Sci.</source> <volume>873</volume>, <fpage>59</fpage>&#x2013;<lpage>64</lpage>. <pub-id pub-id-type="doi">10.1111/j.1749-6632.1999.tb09449.x</pub-id>
</citation>
</ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Schwan</surname>
<given-names>H. P.</given-names>
</name>
</person-group> (<year>1957</year>). <article-title>Electrical properties of tissue and cell suspensions</article-title>. <source>Adv. Biol. Med. Phys.</source> <volume>5</volume>, <fpage>147</fpage>&#x2013;<lpage>209</lpage>. <pub-id pub-id-type="doi">10.1016/b978-1-4832-3111-2.50008-0</pub-id>
</citation>
</ref>
<ref id="B20">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Schwan</surname>
<given-names>H. P.</given-names>
</name>
</person-group> (<year>1993</year>). <article-title>Mechanisms responsible for electrical properties of tissues and cell suspensions</article-title>. <source>Med. Prog. Technol.</source> <volume>19</volume>, <fpage>163</fpage>&#x2013;<lpage>165</lpage>.</citation>
</ref>
<ref id="B21">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Siegel</surname>
<given-names>R. L.</given-names>
</name>
<name>
<surname>Miller</surname>
<given-names>K. D.</given-names>
</name>
<name>
<surname>Fuchs</surname>
<given-names>H. E.</given-names>
</name>
<name>
<surname>Jemal</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2022</year>)., <volume>72</volume>. <publisher-loc>CA</publisher-loc>, <fpage>7</fpage>&#x2013;<lpage>33</lpage>. <pub-id pub-id-type="doi">10.3322/caac.21708</pub-id>
<article-title>Cancer statistics, 2022</article-title>
<source>A Cancer J. Clin.</source>
</citation>
</ref>
<ref id="B22">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sung</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Ferlay</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Siegel</surname>
<given-names>R. L.</given-names>
</name>
<name>
<surname>Laversanne</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Soerjomataram</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>Jemal</surname>
<given-names>A.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Global cancer statistics 2020: GLOBOCAN estimates of incidence and mortality worldwide for 36 cancers in 185 countries</article-title>. <source>CA Cancer J. Clin.</source> <volume>71</volume>, <fpage>209</fpage>&#x2013;<lpage>249</lpage>. <pub-id pub-id-type="doi">10.3322/caac.21660</pub-id>
</citation>
</ref>
<ref id="B23">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tv</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Vera</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Udo</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Wolfgang</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Use of electrical impedance spectroscopy to distinguish cancer from normal tissues with a four electrode terminal setup</article-title>. <source>Curr. Dir. Biomed. Eng.</source> <volume>6</volume>, <fpage>341</fpage>&#x2013;<lpage>344</lpage>. <pub-id pub-id-type="doi">10.1515/cdbme-2020-3088</pub-id>
</citation>
</ref>
<ref id="B24">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>He</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Yan</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>You</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Fu</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Dong</surname>
<given-names>X.</given-names>
</name>
<etal/>
</person-group> (<year>2015</year>). <article-title>Correlation between the dielectric properties and biological activities of human <italic>ex vivo</italic> hepatic tissue</article-title>. <source>Phys. Med. Biol.</source> <volume>60</volume>, <fpage>2603</fpage>&#x2013;<lpage>2617</lpage>. <pub-id pub-id-type="doi">10.1088/0031-9155/60/6/2603</pub-id>
</citation>
</ref>
<ref id="B25">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Shi</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Wen</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Dong</surname>
<given-names>X.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Exploring the relationship between the dielectric properties and viability of human normal hepatic tissues from 10 Hz to 100 MHz based on grey relational analysis and BP neural network</article-title>. <source>Comput Biol. Med.</source> <volume>134</volume>, <fpage>104494</fpage>. <pub-id pub-id-type="doi">10.1016/j.compbiomed.2021.104494</pub-id>
</citation>
</ref>
<ref id="B26">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>J. R.</given-names>
</name>
<name>
<surname>Sun</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>H. X.</given-names>
</name>
<name>
<surname>Pang</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Xu</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Sun</surname>
<given-names>Q.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Experimental study of dielectric properties of human lung tissue <italic>in vitro</italic>
</article-title>. <source>J. Med. Biol. Eng.</source> <volume>34</volume>, <fpage>598</fpage>&#x2013;<lpage>604</lpage>. <pub-id pub-id-type="doi">10.5405/jmbe.1774</pub-id>
</citation>
</ref>
<ref id="B27">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yun</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Kim</surname>
<given-names>H. W.</given-names>
</name>
<name>
<surname>Park</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Cha</surname>
<given-names>J. J.</given-names>
</name>
<name>
<surname>Lee</surname>
<given-names>J. Z.</given-names>
</name>
<name>
<surname>Shin</surname>
<given-names>D. G.</given-names>
</name>
<etal/>
</person-group> (<year>2016</year>). <article-title>Micro electrical impedance spectroscopy on a needle for <italic>ex vivo</italic> discrimination between human normal and cancer renal tissues</article-title>. <source>Biomicrofluidics</source> <volume>10</volume>, <fpage>034109</fpage>. <pub-id pub-id-type="doi">10.1063/1.4951702</pub-id>
</citation>
</ref>
</ref-list>
</back>
</article>