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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Bioeng. Biotechnol.</journal-id>
<journal-title>Frontiers in Bioengineering and Biotechnology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Bioeng. Biotechnol.</abbrev-journal-title>
<issn pub-type="epub">2296-4185</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1611313</article-id>
<article-id pub-id-type="doi">10.3389/fbioe.2025.1611313</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Bioengineering and Biotechnology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Enhanced cancer cell sorting using lab-on-a-disk pattern design with magnetic and centrifugal forces</article-title>
<alt-title alt-title-type="left-running-head">Cheng 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/fbioe.2025.1611313">10.3389/fbioe.2025.1611313</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Cheng</surname>
<given-names>Bill</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Chao</surname>
<given-names>Wei-Cheng</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Chen</surname>
<given-names>Yi-Han</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Lin</surname>
<given-names>Yao-Tsung</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3027474/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/project-administration/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Graduate Institute of Biomedical Engineering</institution>, <institution>National Chung-Hsing University</institution>, <addr-line>Taichung</addr-line>, <country>Taiwan</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Doctoral Program in Tissue Engineering and Regenerative Medicine</institution>, <institution>National Chung-Hsing University</institution>, <addr-line>Taichung</addr-line>, <country>Taiwan</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Graduate Institute of Precision Manufacturing</institution>, <institution>National Chin-Yi University of Technology</institution>, <addr-line>Taichung</addr-line>, <country>Taiwan</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/634354/overview">Ralf P&#xf6;rtner</ext-link>, Hamburg University of Technology, Germany</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1109951/overview">Ezhaveni Sathiyamoorthi</ext-link>, Yeungnam University, Republic of Korea</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/948046/overview">Garima Thakur</ext-link>, Indian Institute of Technology Delhi, India</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Yao-Tsung Lin, <email>train@ncut.edu.tw</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>01</day>
<month>08</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>13</volume>
<elocation-id>1611313</elocation-id>
<history>
<date date-type="received">
<day>14</day>
<month>04</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>09</day>
<month>07</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Cheng, Chao, Chen and Lin.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Cheng, Chao, Chen and Lin</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>Using microfluidic flow for biological detection is a non-invasive method that can replace traditional invasive testing methods to achieve fast and accurate results. The design of the detection device and lab-on-a-disk (LoaD) can impact performance in accurately identifying biological features. Therefore, we created a novel device to extract cancer cells from a heterogeneous cell population by centrifugal-force-driven microfluidic flow and magnetic labeling. Two-stage centrifugal force and a specially designed LoaD were used to drive microfluidic flow and control its movement to designated areas. The purpose was to allow the CD44 antibody&#x2013;magnetic bead complex (CD44 beads), which specifically binds to the abundantly present CD44 receptors on identifiable cancer cells, to flow into the reservoir well, while the biological mixture containing the cancer cells is retained in the capture well. Fluorescence imaging as well as flow cytometric analysis revealed the successful retention of the microbead-bound cancer cells in the magnetic area, while the remaining biological mixture was retained in the reservoir area. The entire separation process took less than 2&#xa0;h.</p>
</abstract>
<kwd-group>
<kwd>microfluidic flow</kwd>
<kwd>cell sorting</kwd>
<kwd>non-invasive method</kwd>
<kwd>lab-on-a-disk</kwd>
<kwd>rapid detection</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Bioprocess Engineering</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Blood and saliva are classified as liquid biopsies and are commonly utilized in microfluidic applications. These fluids exhibit unique characteristics such as viscosity, surface tension, electrical conductivity, and pH, allowing small-volume samples to be used for the detection of viruses, diseases, and drug residues. Microfluidic systems are capable of isolating specific biological components from complex mixtures, making them effective alternatives to traditional invasive sampling techniques (<xref ref-type="bibr" rid="B19">Li et al., 2025</xref>; <xref ref-type="bibr" rid="B22">Lin et al., 2024</xref>; <xref ref-type="bibr" rid="B34">Petruzzellis et al., 2024</xref>). To address the growing demand for minimally invasive diagnostics, various lab-on-a-disk (LoaD) platforms&#x2014;also referred to as &#x201c;microfluidic chips&#x201d;&#x2014;have been developed using different actuation mechanisms that include gravitational, capillary, centrifugal, pressure, electrical, acoustic, and magnetic forces (<xref ref-type="bibr" rid="B25">Liu et al., 2023</xref>; <xref ref-type="bibr" rid="B7">Farahinia et al., 2023</xref>; <xref ref-type="bibr" rid="B41">Warkiani et al., 2015</xref>; <xref ref-type="bibr" rid="B33">Panesar and Neethirajan, 2016</xref>). These systems enable disease diagnostics, drug residue analysis, and biomarker identification through precisely controlled fluid flow.</p>
<p>Despite these advances, many existing devices for cell sorting or cancer cell detection remain limited by large system size, high cost, and complex operating procedures. In response to these limitations, recent research has focused on developing compact, low-cost platforms that support accurate detection with simplified operation. Among the available techniques, centrifugally and magnetically driven microfluids are particularly attractive due to their high integration capacity, ease of use, and independence from external power sources or pumps (<xref ref-type="bibr" rid="B4">Burger et al., 2012</xref>). As such, they have been extensively applied in immunoassays, clinical diagnostics, and pathogen detection (<xref ref-type="bibr" rid="B11">Guan et al., 2020</xref>; <xref ref-type="bibr" rid="B38">Shin et al., 2018</xref>; <xref ref-type="bibr" rid="B49">Zhu et al., 2018</xref>). <xref ref-type="bibr" rid="B39">Sivaramakrishnan et al. (2020)</xref> represent a cell sorting technology that can enable a distinct population of cells to be isolated from a heterogeneous cell population with no or minimal contamination from other cell types or a complex biological sample such as blood. <xref ref-type="bibr" rid="B48">Zhu et al. (2020a)</xref> describe cell separation technologies that prevent isolated cells from being contaminated by the surroundings, thus allowing them to be further cultured for subsequent analysis or cell therapy. This is particularly important in some of the latest immunotherapeutic products, where endogenous cells such as T lymphocytes and dendritic cells are isolated from patients in the purest form before being sub-cultured and processed for subsequent cell therapy. Likewise, for diagnosis, biological samples such as circulating tumor cells (<xref ref-type="bibr" rid="B42">Wei et al., 2021</xref>) and blood-borne microorganisms such as <italic>Staphylococcus aureus</italic> must be purified for identification (<xref ref-type="bibr" rid="B46">Zhang et al., 2023</xref>). Centrifugal microfluidic devices also allow integration with external components, such as signal sensors or heating elements, to further enhance their functional scope (<xref ref-type="bibr" rid="B14">Kim et al., 2016</xref>). Therefore, they have been widely researched in clinical disease diagnosis.</p>
<p>Samples could be pre-stored on an LoaD and depend on rotating speed to realize microfluid flow, mixing, or transfer by centrifugal device (<xref ref-type="bibr" rid="B30">Nguyen et al., 2019</xref>). Therefore, the material selection and the pattern design of the LoaD are very important when using the centrifugal device to sort cells (<xref ref-type="bibr" rid="B15">Kuan et al., 2018</xref>). Polymethyl methacrylate (PMMA) is biocompatible and bioinert (<xref ref-type="bibr" rid="B45">Zhang et al., 2018</xref>) and is primarily used for disposable LoaD. In addition, the microrunner&#x2019;s geometry will affect movement and reservation of the microfluidic flow from one specific area to another by the centrifugal device. Therefore, <xref ref-type="bibr" rid="B23">Lin Y. T. et al. (2021)</xref> proposed a pattern capable of controlling microparticle movement and localization by the centrifugal device. However, they did not explore the microfluidic flow and performance of cell sorting. <xref ref-type="bibr" rid="B21">Lin (2011)</xref> investigated high-speed flow regulation but did not optimize sequential flow control. Furthermore, high-speed rotation may damage fragile biological structures, suggesting the need for optimized flow control at moderate rotational speeds.</p>
<p>To address these concerns, this study presents a new centrifugal microfluidic system designed to achieve stable sequential flow by integrating tailored LoaD patterns with dual-mode rotation control. The system is evaluated for its performance in cancer cell sorting through magnetic labeling. In addition to laboratory-based diagnostics, the proposed LoaD system holds strong potential for deployment in resource-limited or rural settings where access to advanced medical infrastructure is scarce. Its simple operation, minimal instrumentation, and low manufacturing cost make it ideal for point-of-care testing (POCT). By enabling rapid, low-cost cancer cell detection without the need for external pumps or complex analytical equipment, our platform offers a promising solution for decentralized diagnostics, especially in developing countries or underserved areas. This accessibility could greatly enhance early disease detection and timely intervention in populations with limited healthcare resources.</p>
</sec>
<sec id="s2">
<title>2 Research procedure and methodology</title>
<sec id="s2-1">
<title>2.1 Principle of centrifugal and magnetic adsorption</title>
<sec id="s2-1-1">
<title>2.1.1 Centrifugal force drives the microfluidic flow</title>
<p>Shear stress leads to microfluidic flow in the runner of the LoaD. We represent by &#x2202;u/&#x2202;y the relationship of viscosity coefficient and shear stress within the fluid, which can be expressed as <xref ref-type="disp-formula" rid="e1">Formula 1</xref> if the fluid is in the state of Newtonian fluid.<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mi>&#x3c4;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3bc;</mml:mi>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>u</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
<p>where &#x3c4; express the shear stress, &#x3bc; express the viscosity coefficient, u express the velocity of fluid, and <italic>y</italic> represents the position of a unit element of the fluid in the runner. &#x3bc; will vary with the function of y. Therefore, the force of a fluid element has two types: pressure or viscosity when the fluid element is under the space of <italic>&#x3b4;x</italic>, <italic>&#x3b4;y</italic>, and <italic>&#x3b4;z</italic>. Viscosity must be accompanied by shear force to be generated according to <xref ref-type="disp-formula" rid="e1">Formula 1</xref>, so the difference of the shear force can be expressed as <xref ref-type="disp-formula" rid="e2">Formula 2</xref> when the fluid flow is under the runner of the LoaD.<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
<mml:mfrac>
<mml:mrow>
<mml:msup>
<mml:mi>&#x2202;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mi>u</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:msup>
<mml:mi>y</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfrac>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi>x</mml:mi>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where <inline-formula id="inf1">
<mml:math id="m3">
<mml:mrow>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi>x</mml:mi>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> expresses the unit volume and <inline-formula id="inf2">
<mml:math id="m4">
<mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
<mml:mfrac>
<mml:mrow>
<mml:msup>
<mml:mi>&#x2202;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mi>u</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:msup>
<mml:mi>y</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula> expresses the viscosity of the unit volume. The fluid will create a pressure difference when the fluid flows downstream from upstream due to the difference of shear force leads to the fluid flow. The pressure difference can be expressed as <xref ref-type="disp-formula" rid="e3">Formula 3</xref>:<disp-formula id="equ1">
<mml:math id="m5">
<mml:mrow>
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi>z</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mi>x</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="e3">
<mml:math id="m6">
<mml:mrow>
<mml:mo>&#x2206;</mml:mo>
<mml:mi>p</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi>x</mml:mi>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>&#x3b4;</mml:mi>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
</p>
<p>In addition, the main factor distinguishing the compressible from the incompressible flow is pressure. Therefore, we define the formula of fluid density as <xref ref-type="disp-formula" rid="e4">Formula 4</xref>:<disp-formula id="e4">
<mml:math id="m7">
<mml:mrow>
<mml:mi>&#x3c1;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>&#x3c1;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mo>&#x2206;</mml:mo>
<mml:mi>&#x3c1;</mml:mi>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
</p>
<p>where <italic>&#x3c1;</italic>
<sub>
<italic>0</italic>
</sub> is the density before being incompressible and &#x2206;&#x3c1; is the variation of the fluid density. We consider it incompressible flow when &#x2206;&#x3c1;/&#x3c1;&#x3c;&#x3c;1. Most microfluids belong to incompressible flow.</p>
<p>Centrifugal force is an inertial force. It can make the rotating object or fluid move away from its center of rotation so that the fluid will slide due to the velocity or acceleration in the radial direction. Therefore, we can give <xref ref-type="disp-formula" rid="e5">Formulas 5</xref> and <xref ref-type="disp-formula" rid="e6">6</xref>:<disp-formula id="e5">
<mml:math id="m8">
<mml:mrow>
<mml:mi>&#x3c9;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:munder>
<mml:mi mathvariant="italic">lim</mml:mi>
<mml:mrow>
<mml:mo>&#x2206;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>&#x2192;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:munder>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2206;</mml:mo>
<mml:mi>&#x3b8;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2206;</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>&#x3b8;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
<disp-formula id="e6">
<mml:math id="m9">
<mml:mrow>
<mml:mi>&#x3b1;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:munder>
<mml:mi mathvariant="italic">lim</mml:mi>
<mml:mrow>
<mml:mo>&#x2206;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>&#x2192;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:munder>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2206;</mml:mo>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2206;</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
</p>
<p>
<xref ref-type="bibr" rid="B36">Regmi et al. (2022)</xref> and <xref ref-type="bibr" rid="B28">Mason (2014)</xref> represent the fluid moves with inertial force driven by pressure, viscosity, and gravity when the fluid moves along the flow path. Centrifugal force equation is as in <xref ref-type="disp-formula" rid="e7">Formula 7</xref>:<disp-formula id="e7">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>m</mml:mi>
<mml:mo>&#xb7;</mml:mo>
<mml:mi>a</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>m</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>r</mml:mi>
<mml:mo>&#xb7;</mml:mo>
<mml:msup>
<mml:mi>&#x3c9;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>where <italic>f</italic>
<sub>
<italic>c</italic>
</sub> is the inertial force, m is the quality of the particle, <italic>a</italic> is the acceleration of the microfluidics, <italic>&#x394;&#x3b8;</italic> is the angle of the movement, and <italic>&#x3c9;</italic> is the angular velocity.</p>
</sec>
<sec id="s2-1-2">
<title>2.1.2 Dean flow drives microfluidic mixing</title>
<p>The microfluid flow velocity in the tube&#x2019;s center is faster than near the tube wall when microfluid flows along a circular tubular channel. The microfluid in the center of the tube will be pushed to the outside, and the microfluid near the tube wall will be squeezed back to the inside, thus creating two opposite vortices. This phenomenon is called Dean flow. Therefore, the microfluid will create mixed effects. Dean flow can be represented as <xref ref-type="disp-formula" rid="e8">Formula 8</xref> (<xref ref-type="bibr" rid="B17">Li et al., 2024</xref>):<disp-formula id="e8">
<mml:math id="m11">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>e</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>R</mml:mi>
<mml:mi>e</mml:mi>
<mml:msup>
<mml:mi>&#x3b4;</mml:mi>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>/</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x3c1;</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
</mml:mfrac>
<mml:msqrt>
<mml:mfrac>
<mml:mi>L</mml:mi>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:msqrt>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>where <italic>Re</italic> is the Reynolds number, <italic>L/2R</italic> is the curvature ratio, <italic>&#x3c1;</italic> is the fluid density, <italic>&#xb5;</italic> is the fluid viscosity, u is the mean velocity of the flowing fluids, L is the characteristic length of the rectangular channel cross-section, and R is the runner radius.</p>
<p>Microfluid flow is laminar in the runner of the LoaD (<xref ref-type="bibr" rid="B12">Hoshino et al., 2011</xref>). It belongs to incompressible flow or Newtonian fluids and is therefore according to the Navier&#x2013;Stokes equation (<xref ref-type="bibr" rid="B29">Mei and Qian, 2022</xref>):<disp-formula id="e9">
<mml:math id="m12">
<mml:mrow>
<mml:mi>&#x3c1;</mml:mi>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>u</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2b;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>u</mml:mi>
<mml:mo>&#xb7;</mml:mo>
<mml:mo>&#x2207;</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi>u</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mo>&#x2207;</mml:mo>
<mml:mi>p</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>&#x3bc;</mml:mi>
<mml:msup>
<mml:mo>&#x2207;</mml:mo>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mi>u</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>where <italic>&#x3c1;</italic> is the density of the fluid, <italic>u</italic> is the velocity of the flow, <italic>p</italic> is the pressure, <italic>&#xb5;</italic> is the viscosity, and <inline-formula id="inf3">
<mml:math id="m13">
<mml:mrow>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the inertial force.<disp-formula id="e10">
<mml:math id="m14">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>e</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x3c1;</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>where Re is the Reynolds number and d is the diameter of the runner in the LoaD. Re &#x3c; 2,300 is the laminar flow (<xref ref-type="bibr" rid="B2">Bertsche et al., 2019</xref>).</p>
</sec>
<sec id="s2-1-3">
<title>2.1.3 Magnetic force</title>
<p>The principle of cell sorting involves two forces on the cell: centrifugal (<italic>f</italic>
<sub>
<italic>c</italic>
</sub>) and magnetic force (<italic>f</italic>
<sub>
<italic>m</italic>
</sub>). The formula for magnetic force is as <xref ref-type="disp-formula" rid="e11">Equation 11</xref> (<xref ref-type="bibr" rid="B31">Oh et al., 2018</xref>):<disp-formula id="e11">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mi>f</mml:mi>
<mml:mi>m</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>V</mml:mi>
<mml:mo>&#x2206;</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2207;</mml:mo>
<mml:msup>
<mml:mi>B</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(11)</label>
</disp-formula>where <inline-formula id="inf4">
<mml:math id="m16">
<mml:mrow>
<mml:mi>V</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the volume of the magnetic particle, <inline-formula id="inf5">
<mml:math id="m17">
<mml:mrow>
<mml:mo>&#x2206;</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the effective magnetic volumetric susceptibility, <inline-formula id="inf6">
<mml:math id="m18">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3bc;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the magnetic permeability of the vacuum, and <inline-formula id="inf7">
<mml:math id="m19">
<mml:mrow>
<mml:mi>B</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the magnetic field intensity. The magnetic particles will be adsorbed by the magnetism when the magnetic force (<italic>f</italic>
<sub>
<italic>m</italic>
</sub>) is over the centrifugal force (<italic>f</italic>
<sub>
<italic>c</italic>
</sub>).</p>
</sec>
</sec>
<sec id="s2-2">
<title>2.2 The fabrication of the centrifugal device</title>
<p>The novel centrifugal microfluidic detection device is created by the LoaD, magnet, motor, and control system. Easy operation, lower cost, and higher performance are our key points of novelty. However, it is a challenge to how to control the microfluidic steady flow in the runner of the LoaD (<xref ref-type="bibr" rid="B21">Lin, 2011</xref>; <xref ref-type="bibr" rid="B1">Acharya et al., 2023</xref>). The rotating device of the motor and the pattern of the LoaD are key points. Therefore, we use a brush motor and servomotor to compare the steady rotating issue for the LoaD. <xref ref-type="fig" rid="F1">Figure 1</xref> represents the system compositions for the brush motor and the servomotor; their specifications are illustrated in <xref ref-type="table" rid="T1">Table 1</xref>. The brush motor system components are the relay, speed controller, PLC, encoder, and computer. The servomotor system components are the servomotor, signal converter, speed controller, PLC, and computer.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>
<bold>(a)</bold> DC motor system. <bold>(b)</bold> Servomotor system.</p>
</caption>
<graphic xlink:href="fbioe-13-1611313-g001.tif">
<alt-text content-type="machine-generated">Diagram comparing two motor control setups. Panel (a) shows a PLC-FX5UJ connected to a PC via RJ45, a DC motor, and a speed controller with a relay. Panel (b) features a PLC-FX5U linked to a PC, a servo motor, and a signal converter through RJ45 and analog speed control, showing power and encoder signal connections.</alt-text>
</graphic>
</fig>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Components of the centrifugal controller system and specifications.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Components and specifications</th>
<th align="center">DC motor system</th>
<th align="center">Servo motor system</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Motor device</td>
<td align="left">Xajong DC Drive Motor 05SP-9032<break/>Output 20&#xa0;W<break/>DC 90&#xa0;V, 0.34 A<break/>Max. 3,200 r.p.m<break/>Torque 0.75&#xa0;Kg-cm</td>
<td align="left">Mitsubishi AC Servo Motor HK-KT43W<break/>Output 400&#xa0;W<break/>AC 108&#xa0;V, 2.6A<break/>Max. 3,000&#xa0;rpm/min, 0&#x2013;250&#xa0;Hz</td>
</tr>
<tr>
<td align="center">Controller</td>
<td align="left">Chang Yih NC-200<break/>Input AC110&#x223c;220&#xa0;V<break/>Output DC 90&#xa0;V</td>
<td align="left">Mitsubishi MR-J5-40A<break/>Power 400 W<break/>Input 3AC, 200&#x2013;240&#xa0;V, 2.6&#x2013;4.5 A, 50/60&#xa0;Hz<break/>Output 3&#xa0;PH, 0&#x2013;240&#xa0;V, 0&#x2013;590&#xa0;Hz, 2.8A</td>
</tr>
<tr>
<td align="center">Lab-on-a-Disc</td>
<td colspan="2" align="left">Material: PMMA<break/>Dimension: &#xd8;120&#xa0;mm&#x2a;t5.0&#xa0;mm<break/>Mixing runner angle (&#x3b8;): 45&#xb0;, 50&#xb0;, 55&#xb0;, 60&#xb0;, 65&#xb0;, 70&#xb0;, 75&#xb0;, 80&#xb0;, 85&#xb0;, 90&#xb0;<break/>Weight: 60&#xa0;g<break/>Maximum volume of buffer well: 150&#xa0;&#xb5;L<break/>Maximum volume of sample well: 40&#xa0;&#xb5;L<break/>Maximum volume of reaction area: 250&#xa0;&#xb5;L</td>
</tr>
<tr>
<td align="center">Microfluidics</td>
<td colspan="2" align="left">Coomassie Brilliant, Blue R-250, Max 120&#xa0;&#xb5;L</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>
<xref ref-type="bibr" rid="B23">Lin Y. T. et al. (2021)</xref> used CFD software to design and simulate a novel LoaD. The detail specifications and pattern design of the LoaD are illustrated in <xref ref-type="fig" rid="F2">Figure 2</xref>. The novel LoaD can control the micro-particles to flow, stay, and reflow in the runner of the LoaD by the different rotating mode. Therefore, we used the material of the PMMA to process the novel pattern of the LoaD by a CNC machine. The purpose was to test the performance of the microfluidic flow and control in this pattern of the LoaD. We used 95% EtOH and deionized water to wash the pattern of the LoaD and dry it after CNC processing. Then, we used cover and pressure-sensitive adhesive to combine the LoaD (<xref ref-type="bibr" rid="B16">Kuo et al., 2023</xref>; <xref ref-type="bibr" rid="B45">Zhang et al., 2018</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Pattern design of the LoaD (<xref ref-type="bibr" rid="B23">Lin Y. T. et al., 2021</xref>).</p>
</caption>
<graphic xlink:href="fbioe-13-1611313-g002.tif">
<alt-text content-type="machine-generated">Diagram of a circular microfluidic device displaying labeled components: sample well, buffer well, reservoir area, and reaction area. It features a chock design with numbered sections one to four, a capture well, and curved channels connecting the features.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s2-3">
<title>2.3 Cancer cell purification method</title>
<p>Human breast cancer cells MDA-MB-231 (ATCC, Cat&#x23; HTB-26) and human noncancer cells HEK293 (ATCC, Cat&#x23; CRL-1573) were cultured in a separate culture dish in DMEM-high glucose (Gibco, Cat&#x23; 12100046) with 10% fetal bovine serum (Gibco) and 1% penicillin&#x2013;streptomycin (Gibco). The day before the experiment, MDA-MB-231 and HEK293 were stained with Mitotracker Red (Thermo Fisher Scientific, Cat&#x23; M7512) and Mitotracker Green (Thermo Fisher Scientific, Cat&#x23; M7514) at 37&#xa0;&#xb0;C overnight, respectively. The next day, the cells were washed with PBS and gently scraped off the dish with a cell scraper. They were mixed in different ratios, and the buffer well in each of the four micro-runners was loaded with 120&#xa0;&#xb5;L culture media containing 2 &#xd7; 10<sup>4</sup> cells. The sample well in the four micro-runners was loaded with 30&#xa0;&#xb5;L human CD44 antibody&#x2013;magnetic bead conjugates (Miltenyi Biotec). We then used two different rotating modes to label and sort the cells by the centrifugal device. The first rotating mode was to let the microfluids flow to the reaction area from the buffer and sample well. The purpose was to let the labeling cells react and combine with the human CD44 antibody&#x2013;magnetic bead conjugates. Thence, the microfluids of the reaction area flowed to the reservoir area by the second rotating mode. At this time, the labeling cells were adsorbed at the capture well, and the non-labeling cells flowed to the reservoir area. The experimental results achieved the function of sorting between labeling and non-labeling cells.</p>
<p>To image the cells, the LoaD was placed on the stage of a fluorescence microscope (Nexcope, NIB610) (<xref ref-type="fig" rid="F3">Figure 3</xref>). The cells in the reservoir area were imaged first, and the fluid was immediately collected for subsequent flow cytometric analysis (BD Acuri C6 Plus, BD Science). The magnets were gently removed from the back of the LoaD before the cells retained at the magnetic area were imaged. The cells were also subjected to flow cytometric analysis to measure the cells retained at the magnetic area. For all flow cytometric experiments, cells collected from either the magnetic or reservoir areas were resuspended in 1&#xa0;mL saline buffer, and the first 1000 cells were counted.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Inverted fluorescence microscopy. A. light source; B. condenser lens; C. eyepiece; D. observation sample; E. objective lens; F. imaging lens.</p>
</caption>
<graphic xlink:href="fbioe-13-1611313-g003.tif">
<alt-text content-type="machine-generated">Diagram of a microscope showing labeled parts and light path. A is the light source, B is the eyepiece, C is the objective lens, D is the specimen, E is the intermediary lens, and F is the mirror reflecting the light. Arrows indicate the direction of light through the components.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec sec-type="results|discussion" id="s3">
<title>3 Results and discussion</title>
<sec id="s3-1">
<title>3.1 Performance of the centrifugal device</title>
<p>Since the LoaD in the present study relied on a combination of microchannel geometry and centrifugation to separate cells within a biological sample, it is essential that the disk maintain its balance and spin at a constant speed over some time without falling off the motor shaft. In addition, the lower cost and higher performance of the centrifugal device are our novel target. Therefore, we tested the rotating performance of the DC motor and servo motor devices (<xref ref-type="fig" rid="F1">Figures 1a, b</xref>). <xref ref-type="fig" rid="F4">Figure 4</xref> shows the experimental results. <xref ref-type="fig" rid="F4">Figure 4a</xref> shows the relationship of the rotating speed and time when the DC motor is driving at 100, 200, 300, 400, and 500&#xa0;rpm and 30&#xa0;s. We found the difference of the maximum and minimum speeds to be 7&#xa0;rpm when the rotating speed of the DC motor device was set at 100&#xa0;rpm. The difference of the maximum and minimum speeds was 6&#xa0;rpm when the rotating speed of the DC motor device was 200&#xa0;rpm. The difference of the maximum and minimum speeds was 9&#xa0;rpm when the rotating speed of the DC motor device was 300&#xa0;rpm. The difference between the maximum and minimum speeds was 8&#xa0;rpm when the rotating speed of the DC motor device was 400&#xa0;rpm. The difference of the maximum and minimum speeds was 6&#xa0;rpm when the rotating speed of the DC motor device was 500&#xa0;rpm. However, the difference of the maximum and minimum speeds could be controlled to within 1&#xa0;rpm when the rotating speed of the servo motor device was between 100 and 500&#xa0;rpm. The experimental results show that the servo motor device performs better than the DC motor device at the same rotating speed . According to <xref ref-type="bibr" rid="B3">Branderhorst (2024)</xref>, the servomotor has the higher control performance, but its cost is higher than the DC motor.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Stability test of the LoaD at higher rotational speed. The LoaD was mounted onto a motor shaft driven by either <bold>(a)</bold> a DC motor or <bold>(b)</bold> a servomotor at a designated speed for 30&#xa0;s.</p>
</caption>
<graphic xlink:href="fbioe-13-1611313-g004.tif">
<alt-text content-type="machine-generated">Two line graphs labeled a and b display revolutions per minute (rpm) over time in seconds. Graph a shows initial rapid increases in rpm from zero for each line before stabilizing at 100 rpm, 200 rpm, 300 rpm, 400 rpm, and 500 rpm. Graph b shows immediate stabilization at these rpms without initial increases. Lines are colored blue for 100 rpm, orange for 200 rpm, gray for 300 rpm, yellow for 400 rpm, and dark blue for 500 rpm.</alt-text>
</graphic>
</fig>
<p>
<xref ref-type="fig" rid="F4">Figure 4a</xref> shows that the DC motor system exhibits poor stability when the motor speed was 100&#xa0;rpm. Therefore, we tested the performance of the motor system when the rotating speed was 50 and 75&#xa0;rpm. The experimental results are shown in <xref ref-type="fig" rid="F5">Figure 5</xref>. We found the difference to be about 9&#xa0;rpm. when the rotating speed of the DC motor was 75&#xa0;rpm. However, the difference of the servo motor was only 2&#xa0;rpm. under the same rotating speed. The difference increased to 24&#xa0;rpm when the DC motor&#x2019;s rotating speed slowed to 50&#xa0;rpm, and the difference of the servo motor was 16&#xa0;rpm at the same rotating speed. We found that although the servo motor had better performance than the DC motor when the rotating speed was set below 100&#xa0;rpm, the rotating speed stability of the servo motor became worse when the motor speed decreased. This is due to the relationship between the specifications of the motor torque and encoder pulses (<xref ref-type="bibr" rid="B26">Lu et al., 2018</xref>; <xref ref-type="bibr" rid="B32">Othman et al., 2018</xref>).</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Stability test of LoaD at lower rotational speed. The LoaD was allowed to rotate on a motor shaft driven by either <bold>(a)</bold> a DC motor or <bold>(b)</bold> a servomotor at a designated speed for 30&#xa0;s.</p>
</caption>
<graphic xlink:href="fbioe-13-1611313-g005.tif">
<alt-text content-type="machine-generated">Graphical comparison of revolutions per minute over thirty seconds in two panels. Panel a shows fluctuating lines for 50 and 75 rpm, with pronounced variability in the 50 rpm line. Panel b depicts stable lines at 50 and 75 rpm, indicating consistent speed maintenance.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-2">
<title>3.2 Performance of microfluidic flow in the LoaD pattern</title>
<p>The geometric design of the microfluidic pattern will affect the performance of the cell sorting (<xref ref-type="bibr" rid="B10">Glass et al., 2012</xref>). In addition, <xref ref-type="bibr" rid="B35">Pishbin et al. (2020)</xref> showed that the rotation speed of the LoaD also affects sorting performance. Therefore, different rotating speeds and times may have different sorting performances under the same geometry design of the microfluidic pattern. Thus, we investigated the fluid flow behavior of microfluidics within 120&#xa0;&#xb5;L in the runner of the LoaD based on <xref ref-type="fig" rid="F2">Figure 2</xref> using the servomotor device. The experimental process also tested the optimal angle design of the LoaD&#x2019;s mixing runner &#x3b8;.</p>
<p>
<xref ref-type="fig" rid="F6">Figure 6a</xref> shows 120&#xa0;&#xb5;L Coomassie Brilliant Blue R-250 of microfluidics poured into the buffer well. We then drove the centrifugal device of the servomotor with 200&#x223c;250&#xa0;rpm for 30&#x223c;50&#xa0;min (<xref ref-type="bibr" rid="B23">Lin Y. T. et al., 2021</xref>). We tested difference angle of the mixing runner &#x3b8; at 45&#xb0;, 50&#xb0;, 55&#xb0;, 60&#xb0;, 65&#xb0;, 70&#xb0;, 75&#xb0;, 80&#xb0;, 85&#xb0;, and 90&#xb0;. Each angle of the mixing runner was tested ten times. The results demonstrated that the microfluids of the buffer well are able to flow to the reaction area passing to the sample well and mixing runner (<xref ref-type="fig" rid="F6">Figure 6b</xref>). We call this the first rotating mode of the centrifugal device. We again drove the centrifugal device of the servo motor at 200&#x223c;250&#xa0;rpm and 20&#x223c;25&#xa0;min. This was the second rotating mode of the centrifugal device. We found that the fluid of the reaction area is able to flow to the reservoir area, passing to the capture well in the second rotating mode of the centrifugal device (<xref ref-type="fig" rid="F6">Figure 6c</xref>). The experimental results verify that the novel centrifugal device of the servo motor can control the fluid flow process with the same geometric pattern design of the LoaD by different rotating modes. The optimal rotating modes of the centrifugal device are in <xref ref-type="table" rid="T2">Table 2</xref>, and the optimal angle of the mixing runner design was within the range of 55&#xb0;&#x223c;65&#xb0;.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Performance of microfluidic flow in the pattern of the LoaD. <bold>(a)</bold> Coomassie Brilliant Blue R-250 of microfluids in the buffer well. <bold>(b)</bold> Microfluid flow to the reaction area from the buffer well by the first rotating mode of the centrifugal device. <bold>(c)</bold> Microfluid flow to the reservoir area from the reaction area by the second rotating mode of the centrifugal device.</p>
</caption>
<graphic xlink:href="fbioe-13-1611313-g006.tif">
<alt-text content-type="machine-generated">A multi-panel image shows a microfluidic device setup. Panel (a) displays electronic components and wiring next to a circular microfluidic chamber with purple connectors. Panel (b) highlights a close-up of a curved channel within the chamber, filled with purple liquid. Panel (c) presents another section of the chamber with a similar curved channel and purple liquid.</alt-text>
</graphic>
</fig>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Optimal rotating modes of the centrifugal device.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center"/>
<th align="center">Rotating speed</th>
<th align="center">Rotating time</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">First rotating mode of the centrifugal device</td>
<td align="center">200&#xa0;r.p.m</td>
<td align="center">15&#x223c;20&#xa0;min</td>
</tr>
<tr>
<td align="left">Second rotating mode of the centrifugal device</td>
<td align="center">250&#xa0;r.p.m</td>
<td align="center">20&#x223c;25&#xa0;min</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-3">
<title>3.3 Purification of cancer cells from biological mixtures</title>
<p>To demonstrate that our novel centrifugal device has the potential for clinical application, the purification efficiency of the disk was examined as in <xref ref-type="fig" rid="F6">Figure 6</xref>. The buffer area was loaded with antibody&#x2013;magnetic-bead conjugates recognized specifically for CD44 (CD44 microbeads) in the buffer area. CD44 is a cell receptor known for its role in cancer progression and is a diagnostic marker for early tumor detection (<xref ref-type="bibr" rid="B43">Yaghobi et al., 2021</xref>). The sample area was loaded with culture media that contained human breast cancer cells MDA-MB-231 and human non-cancer cells HEK293. CD44 receptors are found abundantly on MDA-MB-231 cell surfaces but not on HEK293 (<xref ref-type="bibr" rid="B13">Kim et al., 2021</xref>; <xref ref-type="bibr" rid="B5">Dinthe, 2023</xref>).</p>
<p>The MDA-MB-231 cells were pre-stained with Mitotracker Red, whereas HEK293 cells were pre-stained with Mitotracker Green. The two&#xa0;cell types were mixed in culture media and subjected to cell separation in the LoaD (<xref ref-type="fig" rid="F6">Figure 6a</xref>). After being centrifuged counterclockwise for 20&#xa0;min, the fluid in the buffer and sample areas were mixed at the reaction area (<xref ref-type="fig" rid="F6">Figure 6b</xref>), with no trace of liquid in other compartments. The LoaD was removed from the motor shaft and then placed in a 4&#xa0;&#xb0;C incubator for 1&#xa0;hour, allowing the CD44 microbeads to react with the MDA-MB-231 cancer cells. Afterward, the LoaD was centrifuged at 250&#xa0;rpm for 25&#xa0;minutes, and it was noticed that all the liquid was retained in the reservoir area with no trace of fluid in the other compartment (<xref ref-type="fig" rid="F6">Figure 6c</xref>). It was expected that the microbead-bound MDA-MB-231 cells would be retained at the capture well (magnetic area) (<xref ref-type="fig" rid="F2">Figure 2</xref>) while the rest of the biological components would end up at the reservoir area.</p>
<p>
<xref ref-type="fig" rid="F7">Figure 7</xref> shows that the purification efficiency of the LoaD was examined with culture media containing different ratios of MDA-MB-231 to HEK293 cells. In the absence of any MDA-MB-231 cells, no cells were detected in the capture well either by fluorescence imaging or flow cytometric analysis, indicating the CD44 antibody&#x2013;magnetic-bead conjugates were specific for cells that expressed CD44 (<xref ref-type="fig" rid="F7">Figure 7a</xref>). When exposed to the conditioned media containing 1 &#xd7; 10<sup>4</sup> of MDA-MB-231&#x2014;which represented 50% of the total cell population in the cell culture media&#x2014;the LoaD managed to capture &#x3e;99% of the cancer cells in that sample (<xref ref-type="fig" rid="F7">Figure 7b</xref>). Moreover, the number of non-targeted HEK293 cells detected at the magnetic area was extremely low, as revealed by flow cytometric analysis. Likewise, in the culture media that had 0.5 &#xd7; 10<sup>4</sup>, 0.2 &#xd7; 10<sup>4</sup>, or 0.05 &#xd7; 10<sup>4</sup> MDA-MB-231 cells (equivalent to 25%, 1%, and 0%, 2.5% of the total cell populations, respectively), approximately 85% or greater of the cancer cells were retained at the magnetic area (<xref ref-type="fig" rid="F7">Figures 7c&#x2013;e</xref>). Additionally, the non-cancerous HEK293 cells were only detected at the reservoir area but not at the magnetic area, indicating that the LoaD has high purification capability.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Purification of human breast cancer cells MDA-MB-231 from a cell mixture. The day before the purification experiment, HEK293 cells were stained with Mitotracker Green, and MDA-MB-231 cells were stained with Mitotracker Red. <bold>(a&#x2013;f)</bold> A total of 2 &#xd7; 10<sup>4</sup> cells that consisted of specified ratios of HEK293 cells and MDA-MB-231 cells were mixed in the same cell culture media at the final volume 120&#xa0;&#xb5;L. After the centrifugation steps, fluorescence images of the cells retained at either the reservoir area or the capture well were taken (scale bar, 100&#xa0;&#xb5;m). Subsequently, cells were removed and subjected to flow cytometric analysis. The number of Mitotracker Green stained HEK293 cells (green) and Mitotracker Red stained MDA-MB-231 cells (red) detected in either the reservoir area or the capture well (N &#x3d; 4).</p>
</caption>
<graphic xlink:href="fbioe-13-1611313-g007.tif">
<alt-text content-type="machine-generated">Six panels (a to f) showing fluorescent microscopy images and bar graphs. Each panel compares HEK293 and MDA-MB-231 cell distributions in reservoir and magnetic areas. Panels show variable initial cell counts, with images displaying green (HEK293) and red (MDA-MB-231) cells. Bar graphs illustrate cell count differences in each area.</alt-text>
</graphic>
</fig>
<p>Studies examining cell separations via magnetic microbeads and centrifugal microfluids have indicated that apart from microchannel geometry, the magnetic strength of magnets also affected separation efficiency (<xref ref-type="bibr" rid="B27">Ma et al., 2019</xref>). Assuming that all MDA-MB-231 cells had CD44 microbeads bound to their surfaces, it was suspected that the strength of the magnets installed beneath the magnetic area was not strong enough to capture all CD44 microbead-bound cells. A possible solution would be to increase the area of the magnet (<xref ref-type="bibr" rid="B8">Fu et al., 2016</xref>), thus increasing the chance of capturing and retaining the CD44 microbead-bound cells while the LoaD is being centrifuged. Alternatively, instead of increasing the size of the magnets, the magnetic strength could be increased by installing stacked magnets at the back of each four microchannels (<xref ref-type="bibr" rid="B24">Liu et al., 2022</xref>). Similarly, increasing the concentration of the CD44 microbeads could also improve the capture efficiency of the microbead-bound cells (<xref ref-type="bibr" rid="B18">Li et al., 2022</xref>). Nevertheless, the LoaD in the present study could still retain &#x223c;85%&#x2013;&#x223c;99% of the MDA-MB-231 cells at the capture well while being centrifuged at 250&#xa0;rpm for 25&#xa0;minutes. This indicated that the microchannel geometry in the LoaD with the Pattern II design can effectively purify cancer cells from a biological sample.</p>
<p>Large numbers of the non-target cells were also likely to play a role in inhibiting the interactions between the magnets and the CD44 microbead-bound cells. The lowest number of MDA-MB-231 cells that the LoaD exposed to in the present study was 0.01 &#xd7; 10<sup>4</sup> MDA-MB-231 cells&#x2014;equivalent to 0.5% of the total cell number (<xref ref-type="fig" rid="F7">Figure 7f</xref>). Even at such a low number, the LoaD was able to capture &#x223c;75% of the MDA-MB-231 cells, as demonstrated by the flow cytometric data. This indicated that a high concentration of non-target cells could prevent the magnet from capturing the CD44 microbeads bound cells as the sample was spun from the mixing to the reservoir area.</p>
<p>Clinically, the average concentration of circulating tumor cells in a cancer patient&#x2019;s blood is only one to ten cells per mL (<xref ref-type="bibr" rid="B20">Lin D. et al., 2021</xref>), whereas 1&#xa0;mL of blood contains a few million white blood cells and a billion red blood cells (<xref ref-type="bibr" rid="B44">Yamamoto et al., 2020</xref>). Some studies have indicated that diluting biological samples before subjecting them to a diagnostic kit enhances the chance of targeted cells being detected (<xref ref-type="bibr" rid="B9">Galanzha et al., 2019</xref>; <xref ref-type="bibr" rid="B6">Endesfelder, 2019</xref>). Accordingly, a serial dilution on a biological sample would be needed to justify our LoaD, which could be used as a diagnostic tool for detecting an extremely low number of cells, such as circulating tumor cells in human blood.</p>
<p>Ideally, for any given cell separation technology, it would be best to separate and purify a specific biological target in a label-free manner. Although there have been some promising progress in the development of LoaD to enable the label-free isolation of target cells, most of the reported studies still rely on separation based on size (<xref ref-type="bibr" rid="B47">Zhu et al., 2020b</xref>). It had been demonstrated that LoaDs separating cells based on size had a higher chance of contaminating the targeted cells with unwanted cells than those utilizing an antibody-labeling method (<xref ref-type="bibr" rid="B40">Sunkara et al., 2021</xref>). Furthermore, the CD44 microbeads bound on the surfaces of MDA-MB-231 could be easily removed from the cell surfaces with a well-defined microbeads removal reagent. Such a reagent does not harm the cells, enabling them to be subjected to further analysis (<xref ref-type="bibr" rid="B37">Seitz et al., 2021</xref>).</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s4">
<title>4 Conclusion</title>
<p>According to the special pattern design of the LoaD, the study created a novel centrifugal device to control microfluidic flow, stagnation, and reflow in the runner of the pattern by different rotating modes of the motor. It also showed that the servomotor can steadily control the rotating speed in the novel centrifugal device of the LoaD compared to the DC motor. In addition, the device installed magnets on the back of the LoaD&#x2019;s capture well to adsorb the target cells. The target cells are bound with micro magnetic beads. Therefore, the study and the novel centrifugal device successfully isolated human breast cancer cells from a cell culture medium containing non-cancerous cells. The sorting process was steady, and the separated cancer cell solution has been verified to be free of non-cancerous cells. The study also verified that the novel detection system has the application development advantages of simply operation, faster detection, and lower cost of the centrifugal device. In addition, the LoaD can be easily mass-produced by injection molding to achieve disposability and low cost&#x2014;the main demands for the commercialization of medical products. Our novel device can thus be used as a point-of-care testing (POCT) device for applications in clinics. In addition, we found that the strength of the magnetic field and the concentration of CD44 micro beads affect the ability of the cancer cells captured. Therefore, we will improve its ability to capture cancer cells by optimizing the strength of the magnetic field and adjusting the CD44 micro-bead concentrations.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="sec" rid="s11">Supplementary Material</xref>; further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="s6">
<title>Author contributions</title>
<p>BC: Data curation, Writing &#x2013; original draft. W-CC: Data curation, Writing &#x2013; review and editing. Y-HC: Data curation, Writing &#x2013; review and editing. Y-TL: Data curation, Investigation, Project administration, Writing &#x2013; original draft, Writing &#x2013; review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s7">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. The authors would like to thank the National Science and Technology Council, Taiwan (NSTC 111-2222-E-231-002 and NSTC 111-2222-E-005 -001) for their financial support. Wei-Cheng Chao carried out this research with funding support in part by the Doctoral Program in Tissue Engineering and Regenerative Medicine of National Chung Hsing University and National Health Research Institutes.</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="s9">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</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 sec-type="supplementary-material" 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/fbioe.2025.1611313/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fbioe.2025.1611313/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Supplementaryfile1.docx" id="SM1" mimetype="application/docx" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Acharya</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Chhabra</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Mukherji</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Paul</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>A low-cost and portable centrifugal microfluidic platform for continuous processing of large sample volumes</article-title>. <source>AIP Adv.</source> <volume>13</volume>, <fpage>1</fpage>. <pub-id pub-id-type="doi">10.1063/5.0128239</pub-id>
</citation>
</ref>
<ref id="B2">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bertsche</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Knipper</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Kapfer</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Wetzel</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Experimental investigation on heat transfer in laminar, transitional and turbulent circular pipe flow with respect to flow regime boundaries</article-title>. <source>Int. J. Heat Mass Transf.</source> <volume>145</volume>, <fpage>118746</fpage>. <pub-id pub-id-type="doi">10.1016/j.ijheatmasstransfer.2019.118746</pub-id>
</citation>
</ref>
<ref id="B3">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Branderhorst</surname>
<given-names>G. J. H. J.</given-names>
</name>
</person-group> (<year>2024</year>). <source>Automatic characterization of a DC motor</source>. <publisher-name>University of Twente</publisher-name>. <comment>Available online at: <ext-link ext-link-type="uri" xlink:href="https://purl.utwente.nl/essays/100959">https://purl.utwente.nl/essays/100959</ext-link>.</comment>
</citation>
</ref>
<ref id="B4">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Burger</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Kirby</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Glynn</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Nwankire</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>O&#x27;Sullivan</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Siegrist</surname>
<given-names>J.</given-names>
</name>
<etal/>
</person-group> (<year>2012</year>). <article-title>Centrifugal microfluidics for cell analysis</article-title>. <source>Curr. Opin. Chem. Biol.</source> <volume>16</volume> (<issue>3-4</issue>), <fpage>409</fpage>&#x2013;<lpage>414</lpage>. <pub-id pub-id-type="doi">10.1016/j.cbpa.2012.06.002</pub-id>
</citation>
</ref>
<ref id="B5">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Dinthe</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>CD44 acts as a coreceptor for cell-specific enhancement of signaling and regulatory T cell induction by TGM1, a parasite TGF-&#x3b2; mimic</article-title>. <source>Proc. Natl. Acad. Sci.</source> <volume>120.34</volume>, <fpage>e2302370120</fpage>. <pub-id pub-id-type="doi">10.1073/pnas.2302370120</pub-id>
</citation>
</ref>
<ref id="B6">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Endesfelder</surname>
<given-names>U.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>From single bacterial cell imaging towards <italic>in vivo</italic> single-molecule biochemistry studies</article-title>. <source>Essays Biochem.</source> <volume>63</volume> (<issue>2</issue>), <fpage>187</fpage>&#x2013;<lpage>196</lpage>. <pub-id pub-id-type="doi">10.1042/EBC20190002</pub-id>
</citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Farahinia</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Badea</surname>
<given-names>I.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Recent developments in inertial and centrifugal microfluidic systems along with the involved forces for cancer cell separation: a review</article-title>. <source>Sensors</source> <volume>23</volume> (<issue>11</issue>), <fpage>5300</fpage>. <pub-id pub-id-type="doi">10.3390/s23115300</pub-id>
</citation>
</ref>
<ref id="B8">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Fu</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Guo</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Hirata</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Ishihara</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Development and evaluation of novel magnetic actuated microrobot with spiral motion using electromagnetic actuation system</article-title>. <source>J. Med. Biol. Eng.</source> <volume>36</volume>, <fpage>506</fpage>&#x2013;<lpage>514</lpage>. <pub-id pub-id-type="doi">10.1007/s40846-016-0147-7</pub-id>
</citation>
</ref>
<ref id="B9">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Galanzha</surname>
<given-names>E. I.</given-names>
</name>
<name>
<surname>Menyaev</surname>
<given-names>Y. A.</given-names>
</name>
<name>
<surname>Yadem</surname>
<given-names>A. C.</given-names>
</name>
<name>
<surname>Sarimollaoglu</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Juratli</surname>
<given-names>M. A.</given-names>
</name>
<name>
<surname>Nedosekin</surname>
<given-names>D. A.</given-names>
</name>
<etal/>
</person-group> (<year>2019</year>). <article-title>
<italic>In vivo</italic> liquid biopsy using cytophone platform for photoacoustic detection of circulating tumor cells in patients with melanoma</article-title>. <source>Sci. Transl. Med.</source> <volume>11</volume>, <fpage>496</fpage>. <pub-id pub-id-type="doi">10.1126/scitranslmed.aat5857</pub-id>
</citation>
</ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Glass</surname>
<given-names>N. R.</given-names>
</name>
<name>
<surname>Shilton</surname>
<given-names>R. J.</given-names>
</name>
<name>
<surname>Chan</surname>
<given-names>P. P. Y.</given-names>
</name>
<name>
<surname>Friend</surname>
<given-names>J. R.</given-names>
</name>
<name>
<surname>Yeo</surname>
<given-names>L. Y.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Miniaturized lab-on-a-disc (miniLOAD)</article-title>. <source>small</source> <volume>8</volume> (<issue>12</issue>), <fpage>1881</fpage>&#x2013;<lpage>1888</lpage>. <pub-id pub-id-type="doi">10.1002/smll.201102282</pub-id>
</citation>
</ref>
<ref id="B11">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Guan</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Shu</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>Y.</given-names>
</name>
<etal/>
</person-group> (<year>2020</year>). <article-title>Magnet-actuated droplet microfluidic immunosensor coupled with gel imager for detection of microcystin-LR in aquatic products</article-title>. <source>Talanta</source> <volume>219</volume>, <fpage>121329</fpage>. <pub-id pub-id-type="doi">10.1016/j.talanta.2020.121329</pub-id>
</citation>
</ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hoshino</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>Y. Y.</given-names>
</name>
<name>
<surname>Lane</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Huebschman</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Uhr</surname>
<given-names>J. W.</given-names>
</name>
<name>
<surname>Frenkel</surname>
<given-names>E. P.</given-names>
</name>
<etal/>
</person-group> (<year>2011</year>). <article-title>Microchip-based immunomagnetic detection of circulating tumor cells</article-title>. <source>Lab a Chip</source> <volume>11</volume> (<issue>20</issue>), <fpage>3449</fpage>&#x2013;<lpage>3457</lpage>. <pub-id pub-id-type="doi">10.1039/C1LC20270G</pub-id>
</citation>
</ref>
<ref id="B13">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kim</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Woo</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Dan</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Lee</surname>
<given-names>K. M.</given-names>
</name>
<name>
<surname>Jin</surname>
<given-names>M. S.</given-names>
</name>
<name>
<surname>Park</surname>
<given-names>I. A.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Quantitative proteomics reveals knockdown of CD44 promotes proliferation and migration in claudin-low MDA-MB-231 and Hs 578T breast cancer cell lines</article-title>. <source>J. Proteome Res.</source> <volume>20</volume> (<issue>7</issue>), <fpage>3720</fpage>&#x2013;<lpage>3733</lpage>. <pub-id pub-id-type="doi">10.1021/acs.jproteome.1c00293</pub-id>
</citation>
</ref>
<ref id="B14">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kim</surname>
<given-names>T. H.</given-names>
</name>
<name>
<surname>Sunkara</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Park</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Kim</surname>
<given-names>C. J.</given-names>
</name>
<name>
<surname>Woo</surname>
<given-names>H. K.</given-names>
</name>
<name>
<surname>Cho</surname>
<given-names>Y. K.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>A lab-on-a-disc with reversible and thermally stable diaphragm valves</article-title>. <source>Lab a Chip</source> <volume>16</volume> (<issue>19</issue>), <fpage>3741</fpage>&#x2013;<lpage>3749</lpage>. <pub-id pub-id-type="doi">10.1039/C6LC00629A</pub-id>
</citation>
</ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kuan</surname>
<given-names>D. H.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>C. C.</given-names>
</name>
<name>
<surname>Su</surname>
<given-names>W. Y.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>N. T.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>A microfluidic device for simultaneous extraction of plasma, red blood cells, and on-chip white blood cell trapping</article-title>. <source>Sci. Rep.</source> <volume>8</volume> (<issue>1</issue>), <fpage>15345</fpage>. <pub-id pub-id-type="doi">10.1038/s41598-018-33738-8</pub-id>
</citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kuo</surname>
<given-names>S. H.</given-names>
</name>
<name>
<surname>Peraro</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Lin</surname>
<given-names>H. P.</given-names>
</name>
<name>
<surname>Chang</surname>
<given-names>C. H.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>B. R.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Hand-powered Point-of-Care: centrifugal microfluidic platform for urine routine examination (&#x3bc;CUREX)</article-title>. <source>Langmuir</source> <volume>39</volume> (<issue>5</issue>), <fpage>1897</fpage>&#x2013;<lpage>1904</lpage>. <pub-id pub-id-type="doi">10.1021/acs.langmuir.2c02923</pub-id>
</citation>
</ref>
<ref id="B17">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Hu</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>J.</given-names>
</name>
<etal/>
</person-group> (<year>2024</year>). <article-title>Inertial migration of fine mineral particles in a curved microfluidic channel: demystifying the role of non-neutrally buoyant particles</article-title>. <source>Sep. Purif. Technol.</source> <volume>334</volume>, <fpage>126026</fpage>. <pub-id pub-id-type="doi">10.1016/j.seppur.2023.126026</pub-id>
</citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Ding</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Zhou</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Guo</surname>
<given-names>X.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>Distinct binding kinetics of E&#x2010;, P&#x2010;And L&#x2010;selectins to CD44</article-title>. <source>FEBS J.</source> <volume>289</volume> (<issue>10</issue>), <fpage>2877</fpage>&#x2013;<lpage>2894</lpage>. <pub-id pub-id-type="doi">10.1111/febs.16303</pub-id>
</citation>
</ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Li</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Song</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Glidle</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Smith</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Sloan</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Cusack</surname>
<given-names>M.</given-names>
</name>
<etal/>
</person-group> (<year>2025</year>). <article-title>A simple three-dimensional microfluidic platform for studying chemotaxis and cell sorting</article-title>. <source>Lab a Chip</source> <volume>25</volume>, <fpage>343</fpage>&#x2013;<lpage>353</lpage>. <pub-id pub-id-type="doi">10.1039/D4LC00892H</pub-id>
</citation>
</ref>
<ref id="B20">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lin</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Shen</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Luo</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>Q.</given-names>
</name>
<etal/>
</person-group> (<year>2021b</year>). <article-title>Circulating tumor cells: biology and clinical significance</article-title>. <source>Signal Transduct. Target. Ther.</source> <volume>6</volume> (<issue>1</issue>), <lpage>404</lpage>. <pub-id pub-id-type="doi">10.1038/s41392-021-00817-8</pub-id>
</citation>
</ref>
<ref id="B21">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lin</surname>
<given-names>I. E.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>Parametric analysis of a novel semi-circular microfluidic CD-ELISA valve</article-title>. <source>J. Biol. Eng.</source> <volume>5</volume>, <fpage>15</fpage>&#x2013;<lpage>13</lpage>. <pub-id pub-id-type="doi">10.1186/1754-1611-5-15</pub-id>
</citation>
</ref>
<ref id="B22">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lin</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Feng</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Han</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Lin</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Gao</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Microfluidic platform for omics analysis on single cells with diverse morphology and size: a review</article-title>. <source>Anal. Chim. Acta</source> <volume>1294</volume>, <fpage>342217</fpage>. <pub-id pub-id-type="doi">10.1016/j.aca.2024.342217</pub-id>
</citation>
</ref>
<ref id="B23">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lin</surname>
<given-names>Y. T.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>C. S.</given-names>
</name>
<name>
<surname>Tseng</surname>
<given-names>S. C.</given-names>
</name>
</person-group> (<year>2021a</year>). <article-title>How to control the microfluidic flow and separate the magnetic and non-magnetic particles in the runner of a disc</article-title>. <source>Micromachines</source> <volume>11</volume>, <fpage>1335</fpage>. <pub-id pub-id-type="doi">10.3390/mi12111335</pub-id>
</citation>
</ref>
<ref id="B24">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liu</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Yao</surname>
<given-names>X. P.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Stacking-induced magnetic frustration and spiral spin liquid</article-title>. <source>Phys. Rev. B</source> <volume>106.22</volume>, <fpage>L220410</fpage>. <pub-id pub-id-type="doi">10.1103/PhysRevB.106.L220410</pub-id>
</citation>
</ref>
<ref id="B25">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liu</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Shen</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Kang</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Cai</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Tian</surname>
<given-names>T.</given-names>
</name>
<etal/>
</person-group> (<year>2023</year>). <article-title>Recent progress in microfluidic biosensors with different driving forces</article-title>. <source>TrAC Trends Anal. Chem.</source> <volume>158</volume>, <fpage>116894</fpage>. <pub-id pub-id-type="doi">10.1016/j.trac.2022.116894</pub-id>
</citation>
</ref>
<ref id="B26">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lu</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Qin</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Hang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Q.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Adaptively estimating rotation speed from DC motor current ripple for order tracking and fault diagnosis</article-title>. <source>IEEE Trans. Instrum. Meas.</source> <volume>68</volume> (<issue>3</issue>), <fpage>741</fpage>&#x2013;<lpage>753</lpage>. <pub-id pub-id-type="doi">10.1109/TIM.2018.2852978</pub-id>
</citation>
</ref>
<ref id="B27">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ma</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Iqbal</surname>
<given-names>M. Z.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Hampp</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>A.</given-names>
</name>
<etal/>
</person-group> (<year>2019</year>). <article-title>Applications of magnetic materials separation in biological nanomedicine</article-title>. <source>Electrophoresis</source> <volume>40</volume>, <fpage>2011</fpage>&#x2013;<lpage>2028</lpage>. <pub-id pub-id-type="doi">10.1002/elps.201800401</pub-id>
</citation>
</ref>
<ref id="B28">
<citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname>Mason</surname>
<given-names>C. H. S.</given-names>
</name>
</person-group> (<year>2014</year>). &#x201c;<article-title>Development of a portable centrifugal machine for microfluidic and nanofluidic platform for clinical application</article-title>,&#x201d; in <source>2014 IEEE conference on biomedical engineering and sciences (IECBES)</source> (<publisher-name>IEEE</publisher-name>), <fpage>347</fpage>&#x2013;<lpage>351</lpage>. <pub-id pub-id-type="doi">10.1109/IECBES.2014.7047518</pub-id>
</citation>
</ref>
<ref id="B29">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mei</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Qian</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Editorial for the special issue on micromachines for Non-Newtonian microfluidics</article-title>. <source>Micromachines</source> <volume>13</volume> (<issue>6</issue>), <fpage>906</fpage>. <pub-id pub-id-type="doi">10.3390/mi13060906</pub-id>
</citation>
</ref>
<ref id="B30">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Nguyen</surname>
<given-names>H. V.</given-names>
</name>
<name>
<surname>Chau</surname>
<given-names>T. H. T.</given-names>
</name>
<name>
<surname>Lee</surname>
<given-names>E. Y.</given-names>
</name>
<name>
<surname>Seo</surname>
<given-names>T. S.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Nucleic acid diagnostics on the total integrated lab-on-a-disc for point-of-care testing</article-title>. <source>Biosens. Bioelectron.</source> <volume>141</volume>, <fpage>111466</fpage>. <pub-id pub-id-type="doi">10.1016/j.bios.2019.111466</pub-id>
</citation>
</ref>
<ref id="B31">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Oh</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Jung</surname>
<given-names>S. H.</given-names>
</name>
<name>
<surname>Seo</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Min</surname>
<given-names>M. K.</given-names>
</name>
<name>
<surname>Kim</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Hahn</surname>
<given-names>Y. K.</given-names>
</name>
<etal/>
</person-group> (<year>2018</year>). <article-title>Magnetic activated cell sorting (MACS) pipette tip for immunomagnetic bacteria separation</article-title>. <source>Sensors Actuators B Chem.</source> <volume>272</volume>, <fpage>324</fpage>&#x2013;<lpage>330</lpage>. <pub-id pub-id-type="doi">10.1016/j.snb.2018.05.146</pub-id>
</citation>
</ref>
<ref id="B32">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Othman</surname>
<given-names>R. N. F. K. R.</given-names>
</name>
<name>
<surname>Md Zuki</surname>
<given-names>N. A.</given-names>
</name>
<name>
<surname>Che Ahmad</surname>
<given-names>S. R.</given-names>
</name>
<name>
<surname>Abdul Shukor</surname>
<given-names>F. A.</given-names>
</name>
<name>
<surname>Mat Isa</surname>
<given-names>S. Z.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Modelling of torque and speed characterisation of double stator slotted rotor brushless DC motor</article-title>. <source>IET Electr. Power Appl.</source> <volume>12</volume> (<issue>1</issue>), <fpage>106</fpage>&#x2013;<lpage>113</lpage>. <pub-id pub-id-type="doi">10.1049/iet-epa.2017.0254</pub-id>
</citation>
</ref>
<ref id="B33">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Panesar</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Neethirajan</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Microfluidics: rapid diagnosis for breast cancer</article-title>. <source>Nano-micro Lett.</source> <volume>8</volume>, <fpage>204</fpage>&#x2013;<lpage>220</lpage>. <pub-id pub-id-type="doi">10.1007/s40820-015-0079-8</pub-id>
</citation>
</ref>
<ref id="B34">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Petruzzellis</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>Mart&#xed;nez V&#xe1;zquez</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Caragnano</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Gaudiuso</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Osellame</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Ancona</surname>
<given-names>A.</given-names>
</name>
<etal/>
</person-group> (<year>2024</year>). <article-title>Lab-on-Chip systems for cell sorting: main features and advantages of inertial focusing in spiral microchannels</article-title>. <source>Micromachines</source> <volume>15</volume> (<issue>9</issue>), <fpage>1135</fpage>. <pub-id pub-id-type="doi">10.3390/mi15091135</pub-id>
</citation>
</ref>
<ref id="B35">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pishbin</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Kazemzadeh</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Chimerad</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Asiaei</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Navidbakhsh</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Russom</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Frequency dependent multiphase flows on centrifugal microfluidics</article-title>. <source>Lab a Chip</source> <volume>20</volume> (<issue>3</issue>), <fpage>514</fpage>&#x2013;<lpage>524</lpage>. <pub-id pub-id-type="doi">10.1039/C9LC00924H</pub-id>
</citation>
</ref>
<ref id="B36">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Regmi</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Poudel</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Adhikari</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Luo</surname>
<given-names>K. Q.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Applications of microfluidics and organ-on-a-chip in cancer research</article-title>. <source>Biosensors</source> <volume>12</volume> (<issue>7</issue>), <fpage>459</fpage>. <pub-id pub-id-type="doi">10.3390/bios12070459</pub-id>
</citation>
</ref>
<ref id="B37">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Seitz</surname>
<given-names>C. M.</given-names>
</name>
<name>
<surname>Mittelstaet</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Atar</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Hau</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Reiter</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Illi</surname>
<given-names>C.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Novel adapter CAR-T cell technology for precisely controllable multiplex cancer targeting</article-title>. <source>Oncoimmunology</source> <volume>10</volume> (<issue>1</issue>), <fpage>2003532</fpage>. <pub-id pub-id-type="doi">10.1080/2162402X.2021.2003532</pub-id>
</citation>
</ref>
<ref id="B38">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shin</surname>
<given-names>D. J.</given-names>
</name>
<name>
<surname>Trick</surname>
<given-names>A. Y.</given-names>
</name>
<name>
<surname>Hsieh</surname>
<given-names>Y. H.</given-names>
</name>
<name>
<surname>Thomas</surname>
<given-names>D. L.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>T. H.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Sample-to-answer droplet magnetofluidic platform for point-of-care hepatitis C viral load quantitation</article-title>. <source>Sci. Rep.</source> <volume>8</volume> (<issue>1</issue>), <fpage>9793</fpage>. <pub-id pub-id-type="doi">10.1038/s41598-018-28124-3</pub-id>
</citation>
</ref>
<ref id="B39">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sivaramakrishnan</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Kothandan</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Govindarajan</surname>
<given-names>D. K.</given-names>
</name>
<name>
<surname>Meganathan</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Kandaswamy</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Active microfluidic systems for cell sorting and separation</article-title>. <source>Curr. Opin. Biomed. Eng.</source> <volume>13</volume>, <fpage>60</fpage>&#x2013;<lpage>68</lpage>. <pub-id pub-id-type="doi">10.1016/j.cobme.2019.09.014</pub-id>
</citation>
</ref>
<ref id="B40">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sunkara</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Kumar</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Sabat&#xe9; del R&#xed;o</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Kim</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>Cho</surname>
<given-names>Y. K.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Lab-on-a-disc for point-of-care infection diagnostics</article-title>. <source>Accounts Chem. Res.</source> <volume>54</volume> (<issue>19</issue>), <fpage>3643</fpage>&#x2013;<lpage>3655</lpage>. <pub-id pub-id-type="doi">10.1021/acs.accounts.1c00367</pub-id>
</citation>
</ref>
<ref id="B41">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Warkiani</surname>
<given-names>M. E.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Tay</surname>
<given-names>A. K. P.</given-names>
</name>
<name>
<surname>Han</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Large-volume microfluidic cell sorting for biomedical applications</article-title>. <source>Annu. Rev. Biomed. Eng.</source> <volume>17</volume>, <fpage>1</fpage>&#x2013;<lpage>34</lpage>. <pub-id pub-id-type="doi">10.1146/annurev-bioeng-071114-040818</pub-id>
</citation>
</ref>
<ref id="B42">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wei</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Guo</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>W.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>X. Z.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Emerging microfluidic technologies for the detection of circulating tumor cells and fetal nucleated red blood cells</article-title>. <source>ACS Appl. Bio Mater.</source> <volume>4</volume> (<issue>2</issue>), <fpage>1140</fpage>&#x2013;<lpage>1155</lpage>. <pub-id pub-id-type="doi">10.1021/acsabm.0c01325</pub-id>
</citation>
</ref>
<ref id="B43">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yaghobi</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Movassaghpour</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Talebi</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Abdoli Shadbad</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Hajiasgharzadeh</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Pourvahdani</surname>
<given-names>S.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>The role of CD44 in cancer chemoresistance: a concise review</article-title>. <source>Eur. J. Pharmacol.</source> <volume>903</volume>, <fpage>174147</fpage>. <pub-id pub-id-type="doi">10.1016/j.ejphar.2021.174147</pub-id>
</citation>
</ref>
<ref id="B44">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yamamoto</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Abe</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Miyoshi</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Ogura</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Hyakutake</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Study of the partitioning of red blood cells through asymmetric bifurcating microchannels</article-title>. <source>J. Med. Biol. Eng.</source> <volume>40</volume>, <fpage>53</fpage>&#x2013;<lpage>61</lpage>. <pub-id pub-id-type="doi">10.1007/s40846-019-00492-9</pub-id>
</citation>
</ref>
<ref id="B45">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Tian</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Feng</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Ma</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>Z.</given-names>
</name>
<etal/>
</person-group> (<year>2018</year>). <article-title>Hand-powered centrifugal microfluidic platform inspired by the spinning top for sample-to-answer diagnostics of nucleic acids</article-title>. <source>Lab a Chip</source> <volume>18</volume> (<issue>4</issue>), <fpage>610</fpage>&#x2013;<lpage>619</lpage>. <pub-id pub-id-type="doi">10.1039/C7LC01234A</pub-id>
</citation>
</ref>
<ref id="B46">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Cain</surname>
<given-names>A. K.</given-names>
</name>
<name>
<surname>Semenec</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Pereira</surname>
<given-names>J. V.</given-names>
</name>
<name>
<surname>Hosokawa</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Yalikun</surname>
<given-names>Y.</given-names>
</name>
<etal/>
</person-group> (<year>2023</year>). <article-title>Bacteria separation and enrichment using viscoelastic flows in a straight microchannel</article-title>. <source>Sensors Actuators B Chem.</source> <volume>390</volume>, <fpage>133918</fpage>. <pub-id pub-id-type="doi">10.1016/j.snb.2023.133918</pub-id>
</citation>
</ref>
<ref id="B47">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhu</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Jiang</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Han</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Xiang</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Ni</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2020b</year>). <article-title>Microfluidics for label-free sorting of rare circulating tumor cells</article-title>. <source>Analyst</source> <volume>145</volume> (<issue>22</issue>), <fpage>7103</fpage>&#x2013;<lpage>7124</lpage>. <pub-id pub-id-type="doi">10.1039/D0AN01148G</pub-id>
</citation>
</ref>
<ref id="B48">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhu</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Han</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Xiang</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Ni</surname>
<given-names>Z.</given-names>
</name>
</person-group> (<year>2020a</year>). <article-title>Inertial microfluidic cube for automatic and fast extraction of white blood cells from whole blood</article-title>. <source>Lab a Chip</source> <volume>20</volume> (<issue>2</issue>), <fpage>244</fpage>&#x2013;<lpage>252</lpage>. <pub-id pub-id-type="doi">10.1039/C9LC00942F</pub-id>
</citation>
</ref>
<ref id="B49">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhu</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Xu</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Interruptible siphon valving for centrifugal microfluidic platforms</article-title>. <source>Sensors Actuators B Chem.</source> <volume>276</volume>, <fpage>313</fpage>&#x2013;<lpage>321</lpage>. <pub-id pub-id-type="doi">10.1016/j.snb.2018.08.123</pub-id>
</citation>
</ref>
</ref-list>
<sec id="s12">
<title>Glossary</title>
<def-list>
<def-item>
<term id="G1-fbioe.2025.1611313">
<inline-formula id="inf8">
<mml:math id="m20">
<mml:mrow>
<mml:mi mathvariant="bold-italic">a</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</term>
<def>
<p>Acceleration of the microfluidics</p>
</def>
</def-item>
<def-item>
<term id="G2-fbioe.2025.1611313">
<inline-formula id="inf9">
<mml:math id="m21">
<mml:mrow>
<mml:mi mathvariant="bold-italic">B</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</term>
<def>
<p>Magnetic field intensity</p>
</def>
</def-item>
<def-item>
<term id="G3-fbioe.2025.1611313">
<bold>CFD</bold>
</term>
<def>
<p>Computational fluid dynamics</p>
</def>
</def-item>
<def-item>
<term id="G4-fbioe.2025.1611313">
<bold>CNC</bold>
</term>
<def>
<p>Computer numerical control</p>
</def>
</def-item>
<def-item>
<term id="G5-fbioe.2025.1611313">
<inline-formula id="inf10">
<mml:math id="m22">
<mml:mrow>
<mml:mi mathvariant="bold-italic">d</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</term>
<def>
<p>Diameter of the runner in the LoaD</p>
</def>
</def-item>
<def-item>
<term id="G6-fbioe.2025.1611313">
<bold>DC</bold>
</term>
<def>
<p>Direct current</p>
</def>
</def-item>
<def-item>
<term id="G7-fbioe.2025.1611313">
<inline-formula id="inf11">
<mml:math id="m23">
<mml:mrow>
<mml:mi mathvariant="bold-italic">D</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</term>
<def>
<p>Dean flow</p>
</def>
</def-item>
<def-item>
<term id="G8-fbioe.2025.1611313">
<bold>EtOH</bold>
</term>
<def>
<p>Ethyl alcohol</p>
</def>
</def-item>
<def-item>
<term id="G9-fbioe.2025.1611313">
<inline-formula id="inf12">
<mml:math id="m24">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">f</mml:mi>
<mml:mi mathvariant="bold-italic">c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</term>
<def>
<p>Inertial force</p>
</def>
</def-item>
<def-item>
<term id="G10-fbioe.2025.1611313">
<inline-formula id="inf13">
<mml:math id="m25">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">f</mml:mi>
<mml:mi mathvariant="bold-italic">m</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</term>
<def>
<p>Magnetic force</p>
</def>
</def-item>
<def-item>
<term id="G11-fbioe.2025.1611313">
<inline-formula id="inf14">
<mml:math id="m26">
<mml:mrow>
<mml:mi mathvariant="bold-italic">L</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</term>
<def>
<p>Characteristic length of the rectangle</p>
</def>
</def-item>
<def-item>
<term id="G12-fbioe.2025.1611313">
<bold>LoaD</bold>
</term>
<def>
<p>Lab-on-a-disc</p>
</def>
</def-item>
<def-item>
<term id="G13-fbioe.2025.1611313">
<inline-formula id="inf15">
<mml:math id="m27">
<mml:mrow>
<mml:mi mathvariant="bold-italic">m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</term>
<def>
<p>Qquality of the particle</p>
</def>
</def-item>
<def-item>
<term id="G14-fbioe.2025.1611313">
<inline-formula id="inf16">
<mml:math id="m28">
<mml:mrow>
<mml:mi mathvariant="bold-italic">P</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</term>
<def>
<p>Pressure</p>
</def>
</def-item>
<def-item>
<term id="G15-fbioe.2025.1611313">
<bold>POCT</bold>
</term>
<def>
<p>Point-of-care testing</p>
</def>
</def-item>
<def-item>
<term id="G16-fbioe.2025.1611313">
<inline-formula id="inf17">
<mml:math id="m29">
<mml:mrow>
<mml:mi mathvariant="bold-italic">R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</term>
<def>
<p>Runner radius</p>
</def>
</def-item>
<def-item>
<term id="G17-fbioe.2025.1611313">
<inline-formula id="inf18">
<mml:math id="m30">
<mml:mrow>
<mml:mi mathvariant="bold-italic">R</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</term>
<def>
<p>Reynolds number</p>
</def>
</def-item>
<def-item>
<term id="G18-fbioe.2025.1611313">
<inline-formula id="inf19">
<mml:math id="m31">
<mml:mrow>
<mml:mi mathvariant="bold-italic">t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</term>
<def>
<p>Time</p>
</def>
</def-item>
<def-item>
<term id="G19-fbioe.2025.1611313">
<inline-formula id="inf20">
<mml:math id="m32">
<mml:mrow>
<mml:mi mathvariant="bold-italic">V</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</term>
<def>
<p>Volume of magnetic particle</p>
</def>
</def-item>
<def-item>
<term id="G20-fbioe.2025.1611313">
<inline-formula id="inf21">
<mml:math id="m33">
<mml:mrow>
<mml:mo>&#x2206;</mml:mo>
<mml:mi mathvariant="bold-italic">x</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</term>
<def>
<p>Effective magnetic volumetric susceptibility</p>
</def>
</def-item>
<def-item>
<term id="G21-fbioe.2025.1611313">
<inline-formula id="inf22">
<mml:math id="m34">
<mml:mrow>
<mml:mi mathvariant="bold-italic">&#x3c4;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</term>
<def>
<p>Shear stress</p>
</def>
</def-item>
<def-item>
<term id="G22-fbioe.2025.1611313">
<inline-formula id="inf23">
<mml:math id="m35">
<mml:mrow>
<mml:mi mathvariant="bold-italic">u</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</term>
<def>
<p>Velocity of fluid</p>
</def>
</def-item>
<def-item>
<term id="G23-fbioe.2025.1611313">
<inline-formula id="inf24">
<mml:math id="m36">
<mml:mrow>
<mml:mi mathvariant="bold-italic">&#x3bc;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</term>
<def>
<p>Viscosity coefficient</p>
</def>
</def-item>
<def-item>
<term id="G24-fbioe.2025.1611313">
<inline-formula id="inf25">
<mml:math id="m37">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">&#x3bc;</mml:mi>
<mml:mn mathvariant="bold">0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</term>
<def>
<p>Magnetic permeability of vacuum</p>
</def>
</def-item>
<def-item>
<term id="G25-fbioe.2025.1611313">
<inline-formula id="inf26">
<mml:math id="m38">
<mml:mrow>
<mml:mi mathvariant="bold-italic">&#x3b4;</mml:mi>
<mml:mi mathvariant="bold-italic">x</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</term>
<def>
<p>Fluid element in the <inline-formula id="inf27">
<mml:math id="m39">
<mml:mrow>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> space</p>
</def>
</def-item>
<def-item>
<term id="G26-fbioe.2025.1611313">
<inline-formula id="inf28">
<mml:math id="m40">
<mml:mrow>
<mml:mi mathvariant="bold-italic">&#x3b4;</mml:mi>
<mml:mi mathvariant="bold-italic">y</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</term>
<def>
<p>Fluid element in the <inline-formula id="inf29">
<mml:math id="m41">
<mml:mrow>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> space</p>
</def>
</def-item>
<def-item>
<term id="G27-fbioe.2025.1611313">
<inline-formula id="inf30">
<mml:math id="m42">
<mml:mrow>
<mml:mi mathvariant="bold-italic">&#x3b4;</mml:mi>
<mml:mi mathvariant="bold-italic">z</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</term>
<def>
<p>Fluid element in the <inline-formula id="inf31">
<mml:math id="m43">
<mml:mrow>
<mml:mi>z</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> space</p>
</def>
</def-item>
<def-item>
<term id="G28-fbioe.2025.1611313">
<inline-formula id="inf32">
<mml:math id="m44">
<mml:mrow>
<mml:mi mathvariant="bold-italic">y</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</term>
<def>
<p>Unit element of fluid in the LoaD runner</p>
</def>
</def-item>
<def-item>
<term id="G29-fbioe.2025.1611313">
<inline-formula id="inf33">
<mml:math id="m45">
<mml:mrow>
<mml:mi mathvariant="bold-italic">&#x3c1;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</term>
<def>
<p>Fluid density</p>
</def>
</def-item>
<def-item>
<term id="G30-fbioe.2025.1611313">
<inline-formula id="inf34">
<mml:math id="m46">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">&#x3c1;</mml:mi>
<mml:mn mathvariant="bold">0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</term>
<def>
<p>Density of incompressible flow</p>
</def>
</def-item>
<def-item>
<term id="G31-fbioe.2025.1611313">
<inline-formula id="inf35">
<mml:math id="m47">
<mml:mrow>
<mml:mi mathvariant="bold-italic">&#x3c9;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</term>
<def>
<p>Angular velocity</p>
</def>
</def-item>
<def-item>
<term id="G32-fbioe.2025.1611313">
<inline-formula id="inf36">
<mml:math id="m48">
<mml:mrow>
<mml:mi mathvariant="bold-italic">&#x3b8;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</term>
<def>
<p>Angle</p>
</def>
</def-item>
<def-item>
<term id="G33-fbioe.2025.1611313">
<inline-formula id="inf37">
<mml:math id="m49">
<mml:mrow>
<mml:mo>&#x2206;</mml:mo>
<mml:mi mathvariant="bold-italic">&#x3b8;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</term>
<def>
<p>Angle of movement</p>
</def>
</def-item>
</def-list>
</sec>
</back>
</article>