<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v2.3 20070202//EN" "journalpublishing.dtd">
<article article-type="research-article" dtd-version="2.3" xml:lang="EN" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">
<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. 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">1229829</article-id>
<article-id pub-id-type="doi">10.3389/fbioe.2023.1229829</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>Evaluation of a static mixer as a new microfluidic method for liposome formulation</article-title>
<alt-title alt-title-type="left-running-head">Ota 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.2023.1229829">10.3389/fbioe.2023.1229829</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Ota</surname>
<given-names>Aoba</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2344410/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Mochizuki</surname>
<given-names>Ayaka</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2395832/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Sou</surname>
<given-names>Keitaro</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/662808/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Takeoka</surname>
<given-names>Shinji</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<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/470224/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Department of Life Science and Medical Bioscience</institution>, <institution>Graduate School of Advanced Science and Engineering</institution>, <institution>Waseda University</institution>, <addr-line>Tokyo</addr-line>, <country>Japan</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Waseda Research Institute for Science and Engineering</institution>, <institution>Waseda University</institution>, <addr-line>Tokyo</addr-line>, <country>Japan</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Institute for Advanced Research of Biosystem Dynamics</institution>, <institution>Waseda Research Institute for Science and Engineering</institution>, <institution>Waseda University</institution>, <addr-line>Tokyo</addr-line>, <country>Japan</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/854129/overview">Marco P. Monopoli</ext-link>, Royal College of Surgeons in Ireland, Ireland</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/830768/overview">Mehran Alavi</ext-link>, Razi University, Iran</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/278716/overview">Hiromi Sakai</ext-link>, Nara Medical University, Japan</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Shinji Takeoka, <email>takeoka@waseda.jp</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>22</day>
<month>08</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>11</volume>
<elocation-id>1229829</elocation-id>
<history>
<date date-type="received">
<day>27</day>
<month>05</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>09</day>
<month>08</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Ota, Mochizuki, Sou and Takeoka.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Ota, Mochizuki, Sou and Takeoka</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>
<bold>Introduction:</bold> Microfluidic formulation of liposomes has been extensively studied as a potential replacement for batch methods, which struggle with problems in scalability and difficulty in modulating conditions. Although microfluidic devices are considered to be able to combat these issues, an adequate replacement method has yet to be established.</p>
<p>
<bold>Methods:</bold> This paper examines the potential of a static mixer (SM) by comparing the encapsulation efficiency, loading, lamellarity, and user-friendliness with a commonly used microfluidic device, a staggered herringbone micromixer (SHM).</p>
<p>
<bold>Results:</bold> In both devices, it was found that as the initial lipid concentration increased, the particle size increased; however, the overall particle size was seen to be significantly larger in the liposomes prepared with SM. PDI remained significantly smaller in SM, however, signifying that better control of the particle size was accomplished in SM. In addition, the encapsulation efficiency was slightly smaller in SM compared to SHM, and in both devices, the values increased as the initial lipid concentration increased. The increase in encapsulation efficiencies was significantly smaller than that of the theoretical encapsulation efficiency, and this was found to be due to the increase in lamellarity as the initial lipid concentration increased.</p>
<p>
<bold>Discussion:</bold> In terms of user-friendliness, SM demonstrated significant advantages. The mixing elements could be taken out from the device, allowing for thorough cleaning of the element and device before and after experiments and ensuring experiments are conducted at virgin state in every round. Consequently, it was found that SM not only can produce uniformly distributed liposomes but has the potential to become a more practical method for liposome formulation with modifications in the mixing elements.</p>
</abstract>
<kwd-group>
<kwd>liposome</kwd>
<kwd>encapsulation</kwd>
<kwd>microfluidics</kwd>
<kwd>static mixer</kwd>
<kwd>staggered herringbone micromixer</kwd>
<kwd>nanoparticle</kwd>
</kwd-group>
<contract-sponsor id="cn001">Japan Society for the Promotion of Science<named-content content-type="fundref-id">10.13039/501100001691</named-content>
</contract-sponsor>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Nanobiotechnology</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Liposomes are biocompatible spherical nanocapsules formed with phospholipid bilayers, that have recently been extensively researched for their potential in medicine (<xref ref-type="bibr" rid="B9">Filipczak et al., 2020</xref>; <xref ref-type="bibr" rid="B12">Guimar&#xe3;es et al., 2021</xref>; <xref ref-type="bibr" rid="B38">Tenchov et al., 2021</xref>). Their amphipathic nature allows them to encapsulate both hydrophobic and hydrophilic molecules, and with their additional ability to be modified for targeted delivery, they are considered to have a high potential as a drug delivery system (<xref ref-type="bibr" rid="B20">Kraft et al., 2014</xref>; <xref ref-type="bibr" rid="B3">Bulbake et al., 2017</xref>; <xref ref-type="bibr" rid="B23">Liu et al., 2022</xref>). Much research has been conducted on liposomes which are beneficial in delivering hemoglobin (<xref ref-type="bibr" rid="B37">Takeoka et al., 1996</xref>; <xref ref-type="bibr" rid="B35">Sou et al., 2003</xref>), genes (<xref ref-type="bibr" rid="B17">Kikuchi et al., 1999</xref>; <xref ref-type="bibr" rid="B29">Obata et al., 2008</xref>), adenosine 5&#x2032;-diphosphate (<xref ref-type="bibr" rid="B30">Okamura et al., 2010</xref>; <xref ref-type="bibr" rid="B13">Hagisawa et al., 2019</xref>), and contrast agents (<xref ref-type="bibr" rid="B32">Saito et al., 2005</xref>; <xref ref-type="bibr" rid="B19">Kostev&#x161;ek et al., 2020</xref>). Encapsulation into liposomes has demonstrated benefits in targeting, controlled release (<xref ref-type="bibr" rid="B2">Bibi et al., 2012</xref>; <xref ref-type="bibr" rid="B28">Niu et al., 2012</xref>), stabilization, and protection from denaturation (<xref ref-type="bibr" rid="B7">Cortesi et al., 1996</xref>; <xref ref-type="bibr" rid="B4">Chaize et al., 2004</xref>).</p>
<p>Although <italic>in vitro</italic> experimentation of liposomes has shown substantial growth and would suggest great potential <italic>in vivo</italic>, their translation into the medical field and use clinically has not grown as expected. This has been observed to be due to problems in manufacturing, regulations, and the complexity of the technology (<xref ref-type="bibr" rid="B33">Sercombe et al., 2015</xref>). Manufacturing remains to be a great issue, with pharmaceutical industries struggling with reproducibility, scalability, and difficulty in adjusting the preparation conditions (<xref ref-type="bibr" rid="B33">Sercombe et al., 2015</xref>). The pre-existing methods that allow for successful liposome formulation are commonly batch methods such as ethanol injection method and thin-film hydration method (<xref ref-type="bibr" rid="B36">&#x160;turm and Poklar Ulrih, 2021</xref>), and are not considered ideal in scalability, reproducibility, and modulation. Although batch methods are easily accessible to produce liposomes on an experimental scale in the laboratory, these methods only allow for the production of milliliter units, resulting in large amounts of waste when only necessary for <italic>in vitro</italic> experiments. In contrast, the scale would be rather small for preparing liposome samples for animal experiments. Such inefficiency in materials, costs, efforts, and time would be a big obstacle to the progress of liposome technology. On the other hand, in pharmaceutical manufacturing, at least kiloliter units of liposomes are required, so the batch method has to be conducted multiple times for an adequate amount to be manufactured. Additionally, adjusting the scale-up factors of the preparation conditions is complicated and requires proficient experience and skills in batch methods. For clinical uses such as when drugs are encapsulated into liposomes and delivered to tumors, accurate modification of liposome size is essential since it heavily impacts its dynamics (<xref ref-type="bibr" rid="B26">Nagayasu et al., 1999</xref>). However, batch methods are incapable of preparing a monodisperse sample of liposomes, and often require multi-step processing such as extrusion to unify and control the size of the liposomes (<xref ref-type="bibr" rid="B36">&#x160;turm and Poklar Ulrih, 2021</xref>). Since extrusion requires the liposomes to pass through membrane filters of decreasing pore sizes, clogging of the membrane filters and loss of the lipids and encapsulated molecules have been serious problems in this step.</p>
<p>Microfluidic formulation of liposomes can combat these issues, allowing for a more uniformly distributed size of liposomes to be generated in a continuous flow-synthesis method (<xref ref-type="bibr" rid="B15">Jahn et al., 2008</xref>). T- and Y-shaped micromixers allow for two liquids to consecutively be mixed, allowing there to be no limit to how much liposomes are prepared as long as liquids are being passed through; in other words, preparation of minuscule volumes to potentially an endless supply can be made possible without changing the conditions. In addition, in a microfluidic device, by simply altering different parameters such as the total flow rate (TFR, the volume at which the liquids are passed through the device per minute), flow rate ratio (FRR, the ratio at which the organic and aqueous solution are pushed through the device), and the initial lipid concentration of the organic solution (ILC), properties of the resultant sample can be modulated. Thus, there is no need for subsequent size control steps such as extrusion, minimizing the hassle and loss during liposome preparation.</p>
<p>A staggered herringbone micromixer (SHM) is a microfluidic device that incorporates a series of asymmetric protrusions in a flow channel for rapid mixing. To this day, the SHM device has been evaluated to produce lipid-based nanoparticles including liposomes and lipid nanoparticles (<xref ref-type="bibr" rid="B5">Chen et al., 2012</xref>; <xref ref-type="bibr" rid="B6">Cheung and Al-Jamal, 2019</xref>). By modulating the preparation conditions, SHM can prepare nanoparticles that have controlled size and can efficiently encapsulate therapeutic agents such as hydrophobic drugs and mRNA (<xref ref-type="bibr" rid="B5">Chen et al., 2012</xref>; <xref ref-type="bibr" rid="B16">Kastner et al., 2015</xref>). While microfluidic technologies have many advantages, the devices used in the experiments are problematic in that blockages frequently occur, and the devices are extremely fragile to exterior force. Many of these chips have channels that are micrometers in width and thickness, resulting in the devices being clogged with the smallest dust particles finding their way through the channel. Therefore, this method does not seem promising especially if macromolecules or molecules with high aggregation are intended to be encapsulated. Solvent resistance is another limitation of these devices which are fabricated by soft lithography. The performance of devices made of polydimethylsiloxane, which is a commonly used material for conventional microfluidic devices, may change by swelling and deformation when in contact with organic solvents. Furthermore, the low volumetric throughput of the microfluidic device due to the narrow channels is another disadvantage for the translation of laboratory-scale preparation to large-scale production for clinical study and commercial scale.</p>
<p>A static mixer (SM), a device that can mix two liquids in a channel of a few millimeters in diameter with a structure shown in <xref ref-type="fig" rid="F1">Figure 1</xref>, is considered to have the potential for liposome preparation. SMs are motionless mixers that have been applied in the blending of fluids, solids gases, and heat transfer (<xref ref-type="bibr" rid="B39">Thakur et al., 2003</xref>). Their structure allows for thorough homogenization and due to mixing being conducted without agitation, they are low in energy consumption and require less maintenance, resulting in their prevalence in the pharmaceutical industry, food engineering, and petrochemical industries (<xref ref-type="bibr" rid="B39">Thakur et al., 2003</xref>). SMs typically have a larger channel than a microfluidic device, which allows them to be less prone to blockages and allows for high volumetric throughput.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Pictures and schemes of the static mixer. <bold>(A)</bold> Schematic of a microfluidic method for liposome preparation using a static mixer with an element in a channel of 1&#xa0;mm diameter, <bold>(B1)</bold> static mixer assembled, <bold>(B2)</bold> disassembled static mixer with the element removed and placed above the device, <bold>(C1)</bold> zoomed-up image of the element, and <bold>(C2)</bold> scheme of the elements viewed from various angles.</p>
</caption>
<graphic xlink:href="fbioe-11-1229829-g001.tif"/>
</fig>
<p>This work utilized a SM which has a channel of 1&#xa0;mm diameter, allowing for the observation of blockages with the naked eye. Furthermore, the structure of the device allowed for the elements in the channel to be taken out and washed. This ensured that the device was completely cleansed after each experiment, allowing all experiments to be conducted at virgin state. With the aforementioned user-friendliness being given, this work aims to further understand the potential of using SM in liposome preparation and also evaluate the differences it may hold when compared to the conventional microfluidic device. In this paper, the liposomes produced in SHM are compared to that of SM and evaluated to consider the potential of a static mixer in a liposome preparation.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>2 Materials and methods</title>
<sec id="s2-1">
<title>2.1 Materials</title>
<p>For lipid components, 1, 2-dipalmitoyl-<italic>sn</italic>-glycerol-3-phosphocholine (DPPC) and cholesterol were purchased from Tokyo Chemical Industry Co. Ltd. (Tokyo, Japan), 1, 5-dihexadecyl-<italic>N</italic>-succinyl-L-glutamate (DHSG) was purchased from Nippon Fine Chemical Co. Ltd. (Osaka, Japan), and 1, 2-distearoyl-<italic>sn</italic>-glycero-3-phosphoethanolamine-<italic>N</italic>-[monomethoxy poly (ethylene glycol) (5000)] (PEG-DSPE) was purchased from NOF Co. Ltd. (Tokyo, Japan). For fluorescent dyes, calcein was purchased from Dojindo Laboratories (Kumamoto, Japan), while 1,1&#x2032;-dioctadecyl-3,3,3&#x2032;,3&#x2032;-tetramethylindodicarbocyanine, 4-chlorobenzenesulfonate salt (DiD) was purchased from Thermo Fisher Scientific (Waltham, United States).</p>
</sec>
<sec id="s2-2">
<title>2.2 Liposome formulation with SM and SHM</title>
<p>Liposomes were formulated by using a static mixer (SM) and a staggered herringbone micromixer (SHM) under comparable conditions to understand the potential of SM in liposome formulation when compared to an established microfluidic method such as SHM (<xref ref-type="bibr" rid="B6">Cheung and Al-Jamal, 2019</xref>). A modified K-series SM was provided from Noritake (Aichi, Japan) (<xref ref-type="fig" rid="F1">Figure 1</xref>), while SHM (<xref ref-type="bibr" rid="B8">Darwin microfluidics, 2023</xref>) was purchased from Darwin Microfluidics (Paris, France) (<xref ref-type="sec" rid="s11">Supplementary Figure S1</xref>). DPPC, cholesterol, DHSG, and PEG-DSPE were dissolved in t-butyl alcohol at a molar ratio of 5:5:1:0.066 and DiD was then further added at 0.2&#xa0;mol% to the total lipid. The mixed solution was freeze-dried to obtain a mixed lipid powder for stock. An aliquot of the freeze-dried powder was dissolved in filtered 99.5% ethanol (Fujifilm Wako Pure Chemical, Japan) at concentrations of 15&#x2013;90&#xa0;mg/mL before each round of the experiment to prepare the lipid solution. Calcein was applied for evaluating the encapsulation efficiency of liposomes. Calcein is widely used as a water-soluble fluorescent marker to evaluate the encapsulation capacity and release properties of liposomes because calcein can be stably encapsulated into liposomes (<xref ref-type="bibr" rid="B11">Grit et al., 1992</xref>; <xref ref-type="bibr" rid="B1">Berger et al., 2001</xref>). Also, the encapsulation efficiency of calcein into liposomes prepared by a filter extrusion method well agrees with the theoretical value calculated for unilamellar liposomes in the assumption that there is no interaction between the lipid bilayer membrane and encapsulated molecules (<xref ref-type="bibr" rid="B40">Xu et al., 2012</xref>). Calcein was dissolved in PBS (Takara Bio, Japan) using NaOH (final concentration 3&#xa0;mM) to prepare a 1&#xa0;mM calcein solution as the aqueous solution. The calcein solution was passed through a hydrophilic filter with a pore size of 0.22&#xa0;&#xb5;m (Merck Millipore, United States) after it had fully dissolved. Both solutions were filtered to ensure that no blockages would be caused by foreign particles. The mixed lipid ethanol solution and aqueous calcein solution were passed through the devices (SM and SHM) at TFR of 1,500, 2000, and 2,500&#xa0;&#x3bc;L/min and aqueous-to-ethanol FRR of 3,4, and 5. The TFR and FRR were adjusted by a syringe pump (Legato 111, KD Scientific, United States). In order to accurately collect liposomes that were generated with the set TFR and FRR, the liposomes produced in the beginning and towards the end of the flows were not collected. The lipid-in-ethanol concentrations were set as 15, 30, 45, 60, and 90&#xa0;mg/mL, presented as initial lipid concentration (ILC).</p>
</sec>
<sec id="s2-3">
<title>2.3 Liposome purification</title>
<p>The resultant liposomes were purified by ultrafiltration to remove ethanol and calcein that were not encapsulated into the liposomes. The centrifugal ultrafiltration device Vivaspin<sup>&#xae;</sup>6, with membrane 100,000 MWCO (Sartorius, Germany) was used, allowing for liposomes to remain in the concentrator while the outer aqueous layer with the unencapsulated calcein and ethanol was dropped into the filtrate container. The sample was centrifuged until the outer aqueous layer was diluted 1,000 times with PBS, and the resultant liquid on the top was collected with a pipette with the liposomes on the membrane being washed down and collected with PBS.</p>
</sec>
<sec id="s2-4">
<title>2.4 Characterization and encapsulation properties of liposomes</title>
<p>Particle size, polydispersity index (PDI), lipid recovery rate (LRR), encapsulation efficiency (EE), and loading were measured for analysis. Particle size and PDI were measured by Zetasizer Nano (Malvern Panalytical, United Kingdom). LRR, loading, and EE were calculated from equations <xref ref-type="disp-formula" rid="e1">1</xref>, <xref ref-type="disp-formula" rid="e2">2</xref>, and <xref ref-type="disp-formula" rid="e3">3</xref>, respectively. An aliquot of the obtained liposome dispersion (100&#xa0;&#xb5;L) was mixed with ethanol (900&#xa0;&#xb5;L) to solubilize the liposomes, and the lipid concentration was calculated from the DiD fluorescence intensity in the ethanol solution (&#x3bb;<sub>ex</sub> &#x3d; 635&#xa0;nm, &#x3bb;<sub>em</sub> &#x3d; 670&#xa0;nm). The calcein concentration was calculated from the fluorescence intensity measured after solubilizing the liposomes with octyl glucoside at a final concentration of 45&#xa0;mM in PBS (&#x3bb;<sub>ex</sub> &#x3d; 480&#xa0;nm, &#x3bb;<sub>em</sub> &#x3d; 530&#xa0;nm). All fluorescence intensities were measured using the SynergyH1 fluorescent plate reader (BioTek, United States). In the following equations, mixed solution (MS) refers to the aqueous solution and lipid solution mixed by pipetting in a defined mixing ratio without having passed through any device.<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>R</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>d</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>o</mml:mi>
<mml:mi>f</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>s</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>e</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>a</mml:mi>
<mml:mi>f</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>p</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>g</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>t</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>h</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>d</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>e</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>g</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>d</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>o</mml:mi>
<mml:mi>f</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>M</mml:mi>
<mml:mi>S</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>g</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>g</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>o</mml:mi>
<mml:mi>f</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>s</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>e</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>a</mml:mi>
<mml:mi>f</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>p</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>f</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>M</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>d</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>o</mml:mi>
<mml:mi>f</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>s</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>e</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>a</mml:mi>
<mml:mi>f</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>p</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>f</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>g</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
<disp-formula id="e3">
<mml:math id="m3">
<mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>E</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>L</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>g</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>d</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>o</mml:mi>
<mml:mi>f</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>s</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>e</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>a</mml:mi>
<mml:mi>f</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>p</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>g</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>t</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>h</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>d</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>e</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>g</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>o</mml:mi>
<mml:mi>f</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>M</mml:mi>
<mml:mi>S</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>M</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
</p>
<p>The theoretical encapsulation efficiency (TEE) was calculated using a mathematical model created by Xu et al. (Eq. <xref ref-type="disp-formula" rid="e4">4</xref>), which predicts the encapsulation efficiency in unilamellar liposomes (<xref ref-type="bibr" rid="B40">Xu et al., 2012</xref>).<disp-formula id="e4">
<mml:math id="m4">
<mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>E</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munder>
<mml:mo>&#x2211;</mml:mo>
<mml:mi>i</mml:mi>
</mml:munder>
</mml:mstyle>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>4</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>3</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>r</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mn>3</mml:mn>
</mml:msup>
<mml:mo>&#x2219;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:mo>&#x2219;</mml:mo>
<mml:mi>V</mml:mi>
<mml:mo>&#x2219;</mml:mo>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mi>A</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munder>
<mml:mo>&#x2211;</mml:mo>
<mml:mi>i</mml:mi>
</mml:munder>
</mml:mstyle>
<mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>4</mml:mn>
<mml:mi>&#x3c0;</mml:mi>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:msubsup>
<mml:mi>r</mml:mi>
<mml:mi>i</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>r</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2219;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2219;</mml:mo>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mi>V</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
</p>
<p>In the above equation, <inline-formula id="inf1">
<mml:math id="m5">
<mml:mrow>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf2">
<mml:math id="m6">
<mml:mrow>
<mml:msub>
<mml:mi>r</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf3">
<mml:math id="m7">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf4">
<mml:math id="m8">
<mml:mrow>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, <italic>a</italic> and <inline-formula id="inf5">
<mml:math id="m9">
<mml:mrow>
<mml:mi>V</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> refers to the membrane thickness of DPPC bilayer membrane (4.8&#xa0;nm) (<xref ref-type="bibr" rid="B22">Lewis and Engelman, 1983</xref>), the radius of the liposome <inline-formula id="inf6">
<mml:math id="m10">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, probability of <inline-formula id="inf7">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mi>r</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, lipid molar concentration, known average molecular area of lipid in monolayer membrane of DPPC and cholesterol at a molar ratio of 1:1 (0.43&#xa0;nm<sup>2</sup>) (<xref ref-type="bibr" rid="B18">Kodama et al., 2004</xref>), and total sample volume, respectively. The <inline-formula id="inf8">
<mml:math id="m12">
<mml:mrow>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf9">
<mml:math id="m13">
<mml:mrow>
<mml:mi>V</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> were assigned as lipid concentration of a liposome dispersion calculated from FRR and ILC (mM), and the volume of liposome dispersion (mL), respectively. <italic>N</italic>
<italic>
<sub>A</sub>
</italic> is Avogadro&#x2019;s number which is equal to 6.02 &#x00D7; 10<sup>23</sup>. The variables <inline-formula id="inf10">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi>r</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf11">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are the particle size radius measured by the Zetasizer and the probability of the presence of vesicles of the entered size, respectively. To calculate <inline-formula id="inf12">
<mml:math id="m16">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf13">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mi>r</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and size distribution were substituted. However, this model assumes that the liposomes are spherical, have an inner aqueous phase entrapped with a single lipid bilayer separated from the outer aqueous phase, the encapsulated molecule is hydrophilic and has the same concentration as the outer aqueous phase, and the particle size follows a Log-Normal distribution (<xref ref-type="bibr" rid="B40">Xu et al., 2012</xref>).</p>
<p>For comparison of the lamellarity of liposomes, a fluorescence probe, 6-<italic>p</italic>-toluidino-2-naphthalenesulfonic acid (TNS) (Abcam, United Kingdom) was used to compare the total surface area of liposomes, in which the ratio of the surface area at the same lipid concentration represents the number of bilayer membranes (<xref ref-type="bibr" rid="B37">Takeoka et al., 1996</xref>). For the liposomes prepared in the SHM and SM, TFR 1500&#xa0;&#x3bc;L/min, FRR 3, and ILC 15, 45, and 90&#xa0;mg/mL were used (six preparation conditions in total). A liposome sample with the same lipid composition was prepared using a probe-type sonicator (Sonifer 250, Branson), and this was defined as a standard of unilamellar liposomes. The lipid concentration in the liposome samples was determined using a phospholipid assay kit (Fujifilm Wako Pure Chemical, Japan), and the samples were diluted to have the same concentrations. TNS was added to all liposome samples with a five-step gradient in lipid concentration and incubated at ambient temperature for 12&#xa0;h before fluorescence was measured (&#x3bb;<sub>ex</sub> &#x3d; 321&#xa0;nm, &#x3bb;<sub>em</sub> &#x3d; 400&#xa0;nm). After the fluorescence measurement, the relationship between the amount of liposome sample added and the fluorescence intensity was plotted on a graph, and the slopes were calculated. The number of the bilayer membranes of liposomes (lamellarity) was calculated by dividing the slope of the standard unilamellar liposomes by the slope of the liposome samples, with the assumption that the number of the lipids composing each lipid layer is the same as the number of the lipids composing the outermost layer of liposomes.</p>
</sec>
<sec id="s2-5">
<title>2.5 Scatterplot matrix</title>
<p>A scatterplot matrix was performed to examine linear correlations between multiple variables. Scatterplot matrix analysis was conducted using Microsoft Excel for Mac version 16.73. The relationship between the parameters and the characteristics of the liposomes could be visualized by the scatterplot matrix. The <italic>p</italic>-value was calculated from the t-value, which was calculated from the Pearson correlation coefficient and the number of plots using Microsoft Excel for Microsoft 365 MSO version 2307. Statistical significance was considered at <italic>p</italic> &#x3c; 0.05.</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1 SHM device</title>
<p>In the liposomes formulated in SHM, correlation coefficients of higher than 0.5 were observed between ILC and particle size, ILC and PDI, particle size and PDI, ILC and EE, and particle size and EE (<xref ref-type="sec" rid="s11">Supplementary Figure S2</xref>). <xref ref-type="fig" rid="F2">Figure 2</xref> shows the characteristics of the lipid particles obtained using SHM when the FRR was fixed at 3 and the TFR was set to 1,500, 2000, or 2,500&#xa0;&#x3bc;L/min. <xref ref-type="fig" rid="F3">Figure 3</xref> shows the characteristics of the lipid particles when the TFR was fixed at 1,500&#xa0;&#x3bc;L/min and the FRR was set to 3, 4, or 5. ILC was varied from 15 to 90&#xa0;mg/mL at each condition. The mean particle size of the obtained liposomes was between 86&#x2013;144&#xa0;nm with a unimodal size distribution (<xref ref-type="fig" rid="F2">Figures 2A</xref>, <xref ref-type="fig" rid="F3">3A</xref>). The particle size increased as the ILC was increased at any combinations of TFR and FRR, and the average size was seen to range from 91&#xa0;nm at ILC 15&#xa0;mg/mL to 131&#xa0;nm at ILC 90&#xa0;mg/mL. In addition, as the ILC and particle size increased, the particle size distribution was also seen to increase.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Comparison of liposome characteristics generated under total flow rate (TFR) of 1,500, 2000, and 2,500&#xa0;&#x3bc;L/min in a staggered herringbone micromixer (SHM) device. The flow rate ratio (FRR) was fixed at 3. <bold>(A)</bold> Particle size, <bold>(B)</bold> polydispersity index (PDI), <bold>(C)</bold> lipid recovery rate (LRR), <bold>(D)</bold> encapsulation efficiency (EE), <bold>(E)</bold> theoretical encapsulation efficiency (TEE) and EE, and <bold>(F)</bold> loading.</p>
</caption>
<graphic xlink:href="fbioe-11-1229829-g002.tif"/>
</fig>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Comparison of liposome characteristics generated under flow rate ratio (FRR) of 3, 4, and 5 in a staggered herringbone micromixer (SHM) device. The total flow rate (TFR) was fixed at 1,500&#xa0;&#x3bc;L/min. <bold>(A)</bold> Particle size, <bold>(B)</bold> polydispersity index (PDI), <bold>(C)</bold> lipid recovery rate (LRR), <bold>(D)</bold> encapsulation efficiency (EE), <bold>(E)</bold> theoretical encapsulation efficiency (TEE) and EE, and <bold>(F)</bold> loading.</p>
</caption>
<graphic xlink:href="fbioe-11-1229829-g003.tif"/>
</fig>
<p>The obtained liposomes exhibit PDI values of 0.071&#x2013;0.259 (<xref ref-type="fig" rid="F2">Figures 2B</xref>, <xref ref-type="fig" rid="F3">3B</xref>). The correlation coefficient between the ILC and PDI was 0.64, with the PDI increasing as the ILC increased (<xref ref-type="sec" rid="s11">Supplementary Figure S2</xref>). This characteristic was seen to be the most evident in <xref ref-type="fig" rid="F2">Figures 2B</xref>, <xref ref-type="fig" rid="F3">3B</xref> at TFR 1500&#xa0;&#x3bc;L/min, FRR 3 where the PDI was 0.074&#xa0;at ILC 15&#xa0;mg/mL and 0.224&#xa0;at 90&#xa0;mg/mL. The values of calculated LRR were in the range of 60%&#x2013;118% without a clear correlation with other variables (<xref ref-type="fig" rid="F2">Figures 2C</xref>, <xref ref-type="fig" rid="F3">3C</xref>; <xref ref-type="sec" rid="s11">Supplementary Figure S2</xref>).</p>
<p>The correlation coefficient was 0.57 between the ILC and EE (<xref ref-type="sec" rid="s11">Supplementary Figure S2</xref>) with the EE increasing as the ILC was increased under any combination of FRR and TFR (<xref ref-type="fig" rid="F2">Figures 2D</xref>, <xref ref-type="fig" rid="F3">3D</xref>; <xref ref-type="sec" rid="s11">Supplementary Figure S2</xref>). Furthermore, it was also found that EE was higher at lower FRR in all ILCs (<xref ref-type="fig" rid="F2">Figure 2D</xref>). A distinct difference could be observed at ILC 90&#xa0;mg/mL, where the EE was 2.7%, 1.4%, and 0.8% for FRR 3, 4, and 5, respectively.</p>
<p>The particle size and EE was seen to have a correlation coefficient of 0.50 with the EE increasing as the particle size got larger (<xref ref-type="sec" rid="s11">Supplementary Figure S2</xref>). When looking at the data for TFR 2000&#xa0;&#x3bc;L/min, it can be seen that at ILC 15&#xa0;mg/mL when the particle size was 95&#xa0;nm, the EE was 0.7%; whereas, at ILC 90&#xa0;mg/mL, when the particle size was 131&#xa0;nm, the EE was 5.9%, increasing the EE 8-fold with the increase in particle size. In addition, it was found that in all conditions, TEE also increased when ILC increased, with the gap between TEE and EE expanding proportionally to ILC (<xref ref-type="fig" rid="F2">Figures 2E</xref>, <xref ref-type="fig" rid="F3">3E</xref>; <xref ref-type="sec" rid="s11">Supplementary Figure S4</xref>). The loading varied between 0.000439 and 0.00193, with all values obtained at TFR 2500&#xa0;&#x3bc;L/min lower than 0.001 (<xref ref-type="fig" rid="F2">Figures 2F</xref>, <xref ref-type="fig" rid="F3">3F</xref>).</p>
</sec>
<sec id="s3-2">
<title>3.2 Static mixer</title>
<p>Similarly, in the SM, correlation coefficients with significance (higher than 0.5 and smaller than &#x2212;0.5) were seen between the following: ILC and particle size, ILC and EE, and particle size and loading (<xref ref-type="sec" rid="s11">Supplementary Figure S3</xref>). <xref ref-type="fig" rid="F4">Figure 4</xref> shows the characteristics of the liposomes obtained using SM when the FRR was fixed at 3 and the TFR was set to 1,500, 2000, or 2,500&#xa0;&#x3bc;L/min. <xref ref-type="fig" rid="F5">Figure 5</xref> shows the characteristics of the lipid particles when the TFR was fixed at 1,500&#xa0;&#x3bc;L/min and the FRR was set to 3, 4, and 5. ILC was varied from 15 to 90&#xa0;mg/mL at each condition. The particle size was seen to increase as ILC was increased, with a correlation coefficient of 0.96 (<xref ref-type="sec" rid="s11">Supplementary Figure S3</xref>). This was evident at TFR 2500&#xa0;&#x3bc;L/min where the particle size increased from 164&#xa0;nm at ILC 15&#xa0;mg/mL to 304&#xa0;nm at ILC 90&#xa0;mg/mL. One thing to note was that although the particle size drastically increased, the PDI mostly remained consistently under 0.1 (<xref ref-type="fig" rid="F4">Figures 4B</xref>, <xref ref-type="fig" rid="F5">5B</xref>). Furthermore, as can be seen in <xref ref-type="fig" rid="F4">Figure 4A</xref>, as TFR was increased, the particle size was seen to decrease. The largest difference was seen at 30&#xa0;mg/mL where the particle size was 224&#xa0;nm at TFR 1500&#xa0;&#x3bc;L/min and 192&#xa0;nm at TFR 2500&#xa0;&#x3bc;L/min. In all conditions, as can be seen in <xref ref-type="fig" rid="F4">Figures 4C</xref>, <xref ref-type="fig" rid="F5">5C</xref>, the LRR mostly remained within the range of 70%&#x2013;120%.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Comparison of liposome characteristics generated under total flow rate (TFR) of 1,500, 2000, and 2,500&#xa0;&#x3bc;L/min in a static mixer. The flow rate ratio (FRR) was fixed at 3. <bold>(A)</bold> Particle size, <bold>(B)</bold> polydispersity index (PDI), <bold>(C)</bold> lipid recovery rate (LRR), <bold>(D)</bold> encapsulation efficiency (EE), <bold>(E)</bold> theoretical encapsulation efficiency (TEE) and EE, and <bold>(F)</bold> loading.</p>
</caption>
<graphic xlink:href="fbioe-11-1229829-g004.tif"/>
</fig>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Comparison of liposome characteristics generated under flow rate ratio (FRR) of 3, 4, and 5 in a static mixer. The total flow rate (TFR) was fixed at 1,500&#xa0;&#x3bc;L/min. <bold>(A)</bold> Particle size, <bold>(B)</bold> polydispersity index (PDI), <bold>(C)</bold> lipid recovery rate (LRR), <bold>(D)</bold> encapsulation efficiency (EE), <bold>(E)</bold> theoretical encapsulation efficiency (TEE) and EE, and <bold>(F)</bold> loading.</p>
</caption>
<graphic xlink:href="fbioe-11-1229829-g005.tif"/>
</fig>
<p>A correlation coefficient of 0.58 was seen between ILC and EE (<xref ref-type="sec" rid="s11">Supplementary Figure S3</xref>). In all conditions, as ILC was increased, EE was also seen to increase (<xref ref-type="fig" rid="F4">Figures 4D</xref>, <xref ref-type="fig" rid="F5">5D</xref>). The most drastic increase was seen in the condition of TFR 1500&#xa0;&#x3bc;L/min, FRR 3 where EE was 0.4% at ILC 15&#xa0;mg/mL and 1.8% at ILC 90&#xa0;mg/mL, an increase of over 4-fold (<xref ref-type="fig" rid="F4">Figure 4D</xref>).</p>
<p>The particle size and loading had a barely significant correlation of coefficient &#x2212;0.50, where, as the size increased, the loading decreased. This is evident in <xref ref-type="fig" rid="F4">Figures 4A</xref>, <xref ref-type="fig" rid="F5">5A</xref>; <xref ref-type="fig" rid="F4">Figures 4F</xref>, <xref ref-type="fig" rid="F5">5F</xref>, where the particle size increased and loading decreased as ILC was increased. In addition, as can be found from <xref ref-type="fig" rid="F4">Figures 4E</xref>, <xref ref-type="fig" rid="F5">5E</xref>, in all conditions, the gap between the TEE and EE increased as ILC was increased (<xref ref-type="sec" rid="s11">Supplementary Figure S4</xref>).</p>
</sec>
<sec id="s3-3">
<title>3.3 SHM and SM comparison</title>
<p>When the two devices were compared in the scatterplot matrix, it was found that the difference in device yielded a difference in particle size and PDI with correlation coefficients of 0.89 and &#x2212;0.76, respectively (<xref ref-type="fig" rid="F6">Figure 6</xref>). The particle size was significantly smaller in all ILCs for the SHM device when compared to the SM. The average size difference between the liposomes generated using the two devices was 122&#xa0;nm when compared under the same conditions. The size difference was seen to increase as ILC was increased, with the difference being 85&#xa0;nm, 106&#xa0;nm, 124&#xa0;nm, 141&#xa0;nm, and 155&#xa0;nm, for 15, 30, 45, 60, and 90&#xa0;mg/mL, respectively.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Scatterplot matrix of flow rate ratio (FRR), total flow rate (TFR), initial lipid concentration (ILC), particle size, polydispersity index (PDI), lipid recovery rate (LRR), encapsulation efficiency (EE), and loading for the static mixer and staggered herringbone micromixer (SHM) device (Device 1 as the SHM device, Device 2 as the static mixer). The values in the boxes represent the Pearson correlation coefficients between each pair of variables. Statistical significance of the Pearson correlation coefficient is represented as &#x2a;<italic>p</italic> &#x3c; 0.05, &#x2a;&#x2a;<italic>p</italic> &#x3c; 0.01, and &#x2a;&#x2a;&#x2a;<italic>p</italic> &#x3c; 0.001.</p>
</caption>
<graphic xlink:href="fbioe-11-1229829-g006.tif"/>
</fig>
<p>A correlation coefficient of &#x2212;0.76 was seen between the device and the PDI with SHM having a much larger PDI than SM. The average PDI size for SHM and SM were 0.170 and 0.073, respectively, with the PDI being 2.3 times larger for SHM.</p>
<p>Furthermore, from the scatterplot matrix, it was found that the particle size and PDI had a correlation coefficient of &#x2212;0.60. <xref ref-type="fig" rid="F6">Figure 6</xref> shows a distinct difference between the two particle size ranges and the PDI. The smaller particle sizes are liposomes formulated by SHM and a large range of PDI can be seen; whereas, in the larger particle sizes of liposomes formulated with SM, the PDI remains small. This can also be seen in <xref ref-type="fig" rid="F2">Figures 2B</xref>, <xref ref-type="fig" rid="F3">3B</xref>; <xref ref-type="fig" rid="F4">Figures 4B</xref>, <xref ref-type="fig" rid="F5">5B</xref>, where the PDI is seen to range up until approximately 0.26 for SHM, while SM was, excluding one condition, able to maintain the PDI at under 0.1.</p>
<p>TNS fluorescence was measured for six liposome samples formulated at ILC 15, 45, and 90&#xa0;mg/mL, each with an SHM and SM. For the measurement, the lipid concentration of liposomes was unified, based on the results of a phospholipid assay. The slopes which reflect the relative value of the total surface area of liposomes were found to be 9.3, 7.5, and 6.6 for SHM, and 5.1, 1.7, and 0.73 for SM at ILC 15, 45, 90&#xa0;mg/mL, respectively (<xref ref-type="sec" rid="s11">Supplementary Figure S5A</xref>). The standard for unilamellar liposomes made through hydration and probe sonication had a slope of 8.6. From this, the lamellarity of the liposomes was calculated to be 0.93, 1.2, and 1.3, for the SHM, and 1.7, 5.1, and 11.9 for SM at ILC 15, 45, and 90&#xa0;mg/mL, respectively (<xref ref-type="sec" rid="s11">Supplementary Figure S5B</xref>). Thus, it was found that liposomes formed in SM at ILC 45 and 90&#xa0;mg/mL are more multilamellar or multivesicular, with the lamellarity increasing proportionally to the ILC (<xref ref-type="sec" rid="s11">Supplementary Figure S5B</xref>). When the appearance of liposome dispersions formulated without fluorescent dyes was compared, it could be seen that the SHM samples are seen to be less turbid than the SM samples (<xref ref-type="sec" rid="s11">Supplementary Figure S6</xref>). Furthermore, the differences in turbidity between SM and SHM samples were more distinct as the ILC got higher.</p>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>4 Discussion</title>
<p>In both SHM and SM, the ILC had a great impact on the particle size with a positive correlation. A much greater increase in particle size was seen for SM, where the particle size at 90&#xa0;mg/mL was seen to increase an average of 111&#xa0;nm from 175&#xa0;nm at 15&#xa0;mg/mL; whereas, for SHM, the particle size at 90&#xa0;mg/mL was only seen to increase an average of 41&#xa0;nm from 91&#xa0;nm at 15&#xa0;mg/mL. Moreover, the overall particle size was significantly smaller for SHM compared to SM. However, PDI remained significantly smaller in SM than in SHM, indicating that the liposome samples formulated in SM are more uniformly distributed. While the PDI was seen to be high for SHM as ILC was increased, SM was mostly able to maintain PDI under 0.1. This shows that SM is more able to mix the solutions equally with little unevenness in mixing. Since the accurate manipulation of particle size is essential in medicinal applications, small PDI in SM is highly promising for future applications.</p>
<p>In addition to the ILC contributing to the particle size, TFR is seen to have an impact on the particle size. As TFR was increased, the particle size was seen to decrease, signifying that the mixing efficiency was increased when more pressure was applied. This can be supported by Zheng <italic>et al.</italic>, where liposome sizes were found to be inversely correlated to TFR at certain FRR and microfluidic devices. They detected that size reduction occurred when the TFR increased, and concluded that this was due to the higher mixing efficiency that can be obtained at higher TFR (<xref ref-type="bibr" rid="B42">Zheng et al., 2022</xref>). While the total volumetric flow rate is comparable in this study, the linear flow velocity calculated by dividing the TFR by the cross-sectional area of the flow path is 156&#xa0;cm/s in SHM and 3&#xa0;cm/s in SM at TFR 1500&#xa0;&#x3bc;L/min. Because linear flow velocity is a critical factor in mixing efficiency and shear stress during flow in a path, the significant difference in the linear flow velocity may be involved in the difference in particle size between liposomes formed in SHM and SM. A higher TFR than 2,500&#xa0;&#x3bc;L/min would be considered for SM to increase the linear velocity when the target size of liposomes is smaller than 150&#xa0;nm. The impact of FRR on particle size was minor in the range of 3&#x2013;5. Cheung et al. reported that increasing the FRR resulted in a decrease in liposome size by using the SHM (<xref ref-type="bibr" rid="B6">Cheung and Al-Jamal, 2019</xref>). In their study, the range of FRR that affects particle size was between 1 and 3, and the effect on particle size was minor at FRR 3 or above. Therefore, FRR can be a controlling factor for particle size when the FRR is less than 3. At lower FRR, it takes longer for lipids to diffuse into the aqueous phase, allowing the self-assembled intermediate structure known as bilayered phospholipid fragments (BPFs) to grow larger in size, followed by the formation of larger liposomes (<xref ref-type="bibr" rid="B21">Lasic and Martin, 1990</xref>; <xref ref-type="bibr" rid="B10">Gouda et al., 2021</xref>).</p>
<p>EE was also seen to increase with ILC in both devices. This is likely due to the increase in particle size and number of liposomes, allowing there to be more space in the particles for calcein to be encapsulated. However, when comparing EE to TEE, it can be seen that EE is lower than TEE in both devices. This may be due to the liposomes formulated by SHM, along with SM, not abiding by the assumptions for the TEE model. The model proposed by Xu <italic>et al.</italic> assumes that the liposomes are single lipid bilayers, that the inner and outer aqueous phases have the same concentration, and that the particle size follows a Log-Normal distribution (<xref ref-type="bibr" rid="B40">Xu et al., 2012</xref>). Firstly, the liposome particle size may not have followed the Log-Normal distribution, resulting in variation in the TEE and EE. With the particle size changing with the various conditions and devices that were experimented on, it is difficult to confirm that the particle size conformed with the Log-Normal distribution, resulting in the EE differing from the TEE. In addition, the inner aqueous phase may not have the same calcein concentration as the outer aqueous phase, due to potential ethanol being entrapped. When the rate of liposome formation is more rapid than the mixing rate of the two liquids, the calcein solution is not able to be fully mixed with the lipid ethanol solution before forming liposomes, resulting in the encapsulated calcein solution having a lower concentration. In other words, the potential volume for calcein encapsulation is not fully maximized due to some amount of ethanol being entrapped, decreasing the EE. This point seems to be a common issue in both devices, but the differences between EE and TEE were more distinct in SM than in SHM (<xref ref-type="sec" rid="s11">Supplementary Figure S4</xref>). Similarly, the EE was significantly lower than the TEE for the batch-type conventional ethanol injection method (<xref ref-type="sec" rid="s11">Supplementary Tables S1, S2</xref>; <xref ref-type="sec" rid="s11">Supplementary Figure S7</xref>). The significant difference between EE and TEE in SM can be attributed to the lamellar structure of the liposomes. Specifically, the increase in the concentration of lipids combined with the larger particle sizes allows for the liposomes to form multiple layers (<xref ref-type="sec" rid="s11">Supplementary Figure S5</xref>), resulting in lowered EE. Due to the liposomes being more multilamellar, the liposomes formulated with SM have a smaller volume for calcein encapsulation. It has been reported that the encapsulation efficiency of water-soluble fluorescent markers and hydrophilic drugs is considerably low with the conventional ethanol injection method when lipid ethanol solution is injected into the aqueous solutions of the water-soluble molecules (<xref ref-type="bibr" rid="B31">Pons et al., 1993</xref>). Although increasing the lipid concentration in the mixed solution is expected to enhance the total encapsulation volume, it also results in the formation of multilamellar or multivesicular liposomes. Also, the BPF and liposome formation may be initiated at higher critical ethanol concentrations at higher ILC. The encapsulation efficiency of these liposomes would be significantly lower than the theoretical encapsulation efficiency calculated assuming unilamellar liposomes encapsulating a completely mixed solution. This issue poses a dilemma when applying the methods based on ethanol injection for the passive encapsulation of water-soluble drugs and may necessitate additional processing to improve encapsulation efficiency. On the other hand, the ethanol injection method demonstrates the efficient encapsulation of hydrophobic and amphiphilic drugs (<xref ref-type="bibr" rid="B14">Jaafar-Maalej et al., 2010</xref>; <xref ref-type="bibr" rid="B10">Gouda et al., 2021</xref>). Also, electrostatic interactions between encapsulation molecules and lipids, such as a combination of anionic nucleic acids and cationic lipids, are effective in improving encapsulation efficiency (<xref ref-type="bibr" rid="B41">Yang et al., 2012</xref>).</p>
<p>In our experimental conditions, SHM was superior to formulate size-controlled unilamellar liposomes around 100&#xa0;nm independent of the ILC. The unilamellar structure is suitable for the encapsulation of water-soluble molecules, but the low encapsulation efficiency was recognized as a technical issue in this study. On the other hand, SM was characterized by the ability to control the size of liposomes with smaller PDI. In addition, the lamellarity of liposomes is controllable depending on the ILC. The multilayer or multivesicular structure of liposomes formulated by SM at high ILCs may be suitable for stably and efficiently encapsulating hydrophobic drugs and mRNA rather than encapsulation of water-soluble molecules. The structure of the micromixers should be a critical factor to control the lamellarity of liposomes as well as their size. The SHM has an optimized structure for rapid mixing with a herringbone groove in a narrow flow path (<xref ref-type="bibr" rid="B5">Chen et al., 2012</xref>). The large flow velocity due to the narrow path allows rapid mixing to form small BPFs after the two liquids were contacted. On the other hand, it can be estimated that the interval between the merging of the two liquids and mixing is extended in SM due to the low flow velocity, giving the lipids time to stay and form larger multilamellar or multivesicular liposomes at the junction of the two liquids. This estimation can be supported by the experiments of preparing lipid nanoparticles using SHMs with different distances between the merging point of liquids and the first SHM, in which the size of the generated lipid nanoparticle is increased by increasing the distance between the merging point and the first SHM (<xref ref-type="bibr" rid="B25">Maeki et al., 2015</xref>). The rapid mixing to decrease the ethanol concentration to its critical concentration is crucial to make small-size lipid self-assemblies. They assumed that the formation of BPFs begins at the 80% ethanol condition (mixing rate: 20%) and the BPFs transfer to lipid nanoparticles at the 60% ethanol condition (mixing rate: 40%) (<xref ref-type="bibr" rid="B24">Maeki et al., 2017</xref>). The prolonged residence of lipids in a mixing state with 60%&#x2013;80% ethanol concentrations increases the size of BPFs, which transform into larger lipid nanoparticles when the ethanol concentration drops below 60%. Therefore, control of the residence time of lipids at an ethanol concentration of 60%&#x2013;80% and the lipid concentration at the critical ethanol concentration can be considered as a key point to control the size of lipid assemblies.</p>
<p>Temperature is also one of the important processing parameters to control the molecular assembling phenomenon because temperature changes the free energy, diffusion coefficient, and viscosity of the systems. In particular, the temperature should be considered as a critical factor when the liposomes exhibit gel-to-liquid crystalline phase transition at a critical temperature. The previous study indicates that liposomes formed at temperatures below the phase transition temperature of the bilayer membranes have larger sizes compared with liposomes prepared around phase transition temperature (<xref ref-type="bibr" rid="B43">Zook and Vreeland, 2010</xref>). A further problem in liposome preparation below phase transition temperature is the formation of large aggregates of lipids around the merging zone of liquids, especially at a low flow rate. The formation of lipid aggregates possibly causes the formation of large liposomes with high polydispersity and low reproducibility due to destabilizing the flow. Although the current study was conducted at room temperature, the formation of large aggregates was not observed in either device. This would be due to the addition of an equimolar amount of cholesterol to DPPC, which eliminates the phase transition of the DPPC membrane forming a fluid membrane. Even for liposomes with cholesterol, the heating of the device and fluids increases the diffusion coefficient and decreases the viscosity, resulting in increased mixing efficiency and reduced back pressure. Therefore, microfluidic mixing at higher temperatures allows for rapid mixing to generate smaller liposomes (<xref ref-type="bibr" rid="B6">Cheung and Al-Jamal, 2019</xref>).</p>
<p>The element of SM is well-designed for efficient mixing through a process of division, conversion, and inversion (<xref ref-type="bibr" rid="B39">Thakur et al., 2003</xref>). The size of multilamellar liposomes can be controlled by the fine mixing process during subsequent passing through the element. Therefore, in addition to the structure of the elements of the static mixer, the design of the channel structure of the micromixer will also be a future issue. The length of the microchannel is one of the considerable parameters in flow mixing. An extension of the microchannel flow path is effective to increase high mixing efficiency to attain a complete mixing state (<xref ref-type="bibr" rid="B27">Natsuhara et al., 2022</xref>). However, the back pressure is proportionally increased with increasing the length of the microchannel in pressure-driven flow. Increased back pressure causes breakage of the device. On the other hand, the back pressure is inversely proportional to the square of the channel diameter. In this sense, devices with shorter channels with larger diameters are preferred for safe operation at low back pressure in scale-up processing. SHM has the advantage of being efficiently mixed even in a short channel due to chaotic mixing compared with mixing by hydrodynamic flow focusing through a plane microchannel. However, it is still difficult to increase volumetric throughput because the mixing efficiency decreases due to a deceased specific surface area in the flow channel in which the herringbone grooves are arranged for chaotic mixing when the cross-sectional area of the channel is increased. As a workaround for this limitation in scale-up, a parallelized device with many microchannels has been proposed for the scalable production of mRNA and siRNA lipid nanoparticles (<xref ref-type="bibr" rid="B34">Shepherd et al., 2021</xref>). SM can be expected to overcome the limitation of the conventional microfluidic devices in scale-up because the specification of elements of a static mixer such as shape, size, pitch, and length can be customized depending on the length and diameter of the channels.</p>
<p>In addition to statistically visible differences between the two devices, there is a significant difference in the structure and usability of the devices. SHM is a glass material, with the only access to the interior structure being liquids being pushed in through the entrances. Consequently, washing the interior of the device is extremely troublesome with no guarantee that the inside is completely cleansed. On the other hand, as can be seen in <xref ref-type="fig" rid="F1">Figure 1</xref>, SM can be disassembled, allowing for the washing of the device to be done with ease. In addition, by taking out the elements from the device, the elements can be thoroughly washed and experiments can be conducted at virgin state.</p>
</sec>
<sec sec-type="conclusion" id="s5">
<title>5 Conclusion</title>
<p>The present study demonstrated that a static mixer is a powerful device for the continuous generation of size-controlled liposomes in a static flow-mixing manner. SM is interesting as a new fluid dynamic mixing device that bridges microfluidic and macro fluidic scales. Similar to the method using conventional microfluidic devices, particle size, encapsulation efficiency, and lamellarity of liposomes could be tuned by modulating process parameters. The key parameter to control the size of liposomes using SM was ILC, which is the same as the method using SHM. TFR and FRR had no significant impact on the characteristics of the generated liposomes in the range tested in this study. However, considering that the cross-sectional area of the channel in the applied SM is 50 times larger than that in the conventional SHM, the range of TFR applied in this study (1,500&#x2013;2,500&#xa0;&#x3bc;L/min) might be too low for the SM even if the range of TFR is suitable for SHM in conventional studies (<xref ref-type="bibr" rid="B16">Kastner et al., 2015</xref>; <xref ref-type="bibr" rid="B6">Cheung and Al-Jamal, 2019</xref>). A much higher TFR range should be targeted to increase the linear flow velocity in the SM. Increased volumetric throughput resulting from an increased TFR is the preferred approach to overcome the limitation of conventional microfluidic devices, which have low volumetric throughput, for scale-up production. SM could be widely applicable not only to preparing liposome formulations but also to preparing nano-formulations based on the formation of molecular assemblies in aqueous media, such as lipid nanoparticles and polymeric nanoparticles. Further research on optimizing manufacturing conditions such as flow rate and temperature to suit the size of the flow path and specifications of SM will enable more precise control of liposome size and structure at various scales.</p>
<p>In the last few decades, liposome technology has played a pioneering role in the development of nanoparticle-based drug delivery systems. While extensive research has led to clinical applications of several liposomal formulations, the number of approved liposomal drugs is not as large as expected. One of the bottleneck issues is manufacturing, which includes inconsistency of size and structure, lack of reproducibility, low encapsulation efficiency, difficulty in scalability, lack of device and equipment, and complexity of the technology. Although there remains a need to better the mixing efficiency of SM by, for instance, altering the number and curvature of the elements, this research was able to show that a static mixer is indeed capable of preparing liposomes. Furthermore, it depicted great potential in liposome formation due to its user-friendliness and ability to accurately control the particle size of the liposomes. Nowadays, liposome technologies have expanded to a broad range of lipid-based nanoparticles including lipid nanoparticles encapsulating DNA or mRNA. Consequently, the challenges of liposome technology extend beyond drug delivery to gene delivery and vaccine technology. Advances in fluid mixing technology using a static mixer will facilitate reproducible, scalable, and efficient continuous production of advanced lipid-based nanoparticles with controlled size and structure suitable for applications.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="sec" rid="s11">Supplementary Material</xref>, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>AO, AM, and ST conceived and designed the study. AO and AM performed the experiments and analyzed the data. KS was responsible for helping with the experiments and data analysis. AO wrote the draft of the manuscript. AM, KS, and ST contributed to writing and revising the manuscript. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>This work was supported by JSPS KAKENHI Grant Number JP20K12656. This work was the result of using research equipment (SynergyH1: shared equipment ID C4032 in Waseda University) shared in MEXT Project for promoting public utilization of advanced research infrastructure (Program for supporting construction of core facilities) Grant Number JPMXS0440500022.</p>
</sec>
<ack>
<p>We thank Noritake Co., Limited for kindly providing a static mixer.</p>
</ack>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s10">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="s11">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fbioe.2023.1229829/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fbioe.2023.1229829/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.PDF" id="SM1" mimetype="application/PDF" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Berger</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Sachse</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Bender</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Schubert</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Brandl</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2001</year>). <article-title>Filter extrusion of liposomes using different devices: comparison of liposome size, encapsulation efficiency, and process characteristics</article-title>. <source>Inter. J. Pharm.</source> <volume>223</volume>, <fpage>55</fpage>&#x2013;<lpage>68</lpage>. <pub-id pub-id-type="doi">10.1016/S0378-5173(01)00721-9</pub-id>
</citation>
</ref>
<ref id="B2">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bibi</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Lattmann</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Mohammed</surname>
<given-names>A. R.</given-names>
</name>
<name>
<surname>Perrie</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Trigger release liposome systems: local and remote controlled delivery?</article-title> <source>J. Microencapsul.</source> <volume>29</volume> (<issue>3</issue>), <fpage>262</fpage>&#x2013;<lpage>276</lpage>. <pub-id pub-id-type="doi">10.3109/02652048.2011.646330</pub-id>
</citation>
</ref>
<ref id="B3">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bulbake</surname>
<given-names>U.</given-names>
</name>
<name>
<surname>Doppalapudi</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Kommineni</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Khan</surname>
<given-names>W.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Liposomal formulations in clinical use: an updated review</article-title>. <source>Pharmaceutics</source> <volume>9</volume>, <fpage>12</fpage>. <pub-id pub-id-type="doi">10.3390/pharmaceutics9020012</pub-id>
</citation>
</ref>
<ref id="B4">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chaize</surname>
<given-names>B.</given-names>
</name>
<name>
<surname>Colletier</surname>
<given-names>J. P.</given-names>
</name>
<name>
<surname>Winterhalter</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Fournier</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>2004</year>). <article-title>Encapsulation of enzymes in liposomes: high encapsulation efficiency and control of substrate permeability</article-title>. <source>Artif. Cells Blood Subst. Immobil. Biotechnol.</source> <volume>32</volume> (<issue>1</issue>), <fpage>67</fpage>&#x2013;<lpage>75</lpage>. <pub-id pub-id-type="doi">10.1081/bio-120028669</pub-id>
</citation>
</ref>
<ref id="B5">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chen</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Love</surname>
<given-names>K. T.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Eltoukhy</surname>
<given-names>A. A.</given-names>
</name>
<name>
<surname>Kastrup</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Sahay</surname>
<given-names>G.</given-names>
</name>
<etal/>
</person-group> (<year>2012</year>). <article-title>Rapid discovery of potent siRNA-containing lipid nanoparticles enabled by controlled microfluidic formulation</article-title>. <source>J. Am. Chem. Soc.</source> <volume>134</volume> (<issue>16</issue>), <fpage>6948</fpage>&#x2013;<lpage>6951</lpage>. <pub-id pub-id-type="doi">10.1021/ja301621z</pub-id>
</citation>
</ref>
<ref id="B6">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cheung</surname>
<given-names>C. C. L.</given-names>
</name>
<name>
<surname>Al-Jamal</surname>
<given-names>W. T.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Sterically stabilized liposomes production using staggered herringbone micromixer: effect of lipid composition and PEG-lipid content</article-title>. <source>Int. J. Pharm.</source> <volume>566</volume>, <fpage>687</fpage>&#x2013;<lpage>696</lpage>. <pub-id pub-id-type="doi">10.1016/j.ijpharm.2019.06.033</pub-id>
</citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cortesi</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Esposito</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Manegatti</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Gambari</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Nastruzzi</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>1996</year>). <article-title>Effect of cationic liposome composition on <italic>in vitro</italic> cytotoxicity and protective effect on carried DNA</article-title>. <source>Int. J. Pharm.</source> <volume>139</volume> (<issue>1&#x2013;2</issue>), <fpage>69</fpage>&#x2013;<lpage>78</lpage>. <pub-id pub-id-type="doi">10.1016/0378-5173(96)04574-7</pub-id>
</citation>
</ref>
<ref id="B8">
<citation citation-type="web">
<collab>Darwin microfluidics</collab> (<year>2023</year>). <article-title>Herringbone mixer - glass chip</article-title>. <comment>Available at: <ext-link ext-link-type="uri" xlink:href="https://darwin-microfluidics.com/products/herringbone-mixer-glass-chips">https://darwin-microfluidics.com/products/herringbone-mixer-glass-chips</ext-link> (Accessed April 16, 2023)</comment>.</citation>
</ref>
<ref id="B9">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Filipczak</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Pan</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Yalamarty</surname>
<given-names>S. S. K.</given-names>
</name>
<name>
<surname>Torchilin</surname>
<given-names>V. P.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Recent advancements in liposome technology</article-title>. <source>Adv. Drug Deliv. Rev.</source> <volume>156</volume>, <fpage>4</fpage>&#x2013;<lpage>22</lpage>. <pub-id pub-id-type="doi">10.1016/j.addr.2020.06.022</pub-id>
</citation>
</ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gouda</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Sakr</surname>
<given-names>O. S.</given-names>
</name>
<name>
<surname>Nasr</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Sammour</surname>
<given-names>O.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Ethanol injection technique for liposomes formulation: an insight into development, influencing factors, challenges and applications</article-title>. <source>J. Drug Deliv. Sci. Technol.</source> <volume>61</volume>, <fpage>102174</fpage>. <pub-id pub-id-type="doi">10.1016/j.jddst.2020.102174</pub-id>
</citation>
</ref>
<ref id="B11">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Grit</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Daan</surname>
<given-names>J. A.</given-names>
</name>
<name>
<surname>Crommelin</surname>
<given-names>D. J. A.</given-names>
</name>
</person-group> (<year>1992</year>). <article-title>The effect of aging on the physical stability of liposome dispersions</article-title>. <source>Chem. Phys. Lipids</source> <volume>62</volume>, <fpage>113</fpage>&#x2013;<lpage>122</lpage>. <pub-id pub-id-type="doi">10.1016/0009-3084(92)90089-8</pub-id>
</citation>
</ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Guimar&#xe3;es</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Cavaco-Paulo</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Eug&#xe9;nia Nogueira</surname>
<given-names>E.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Design of liposomes as drug delivery system for therapeutic applications</article-title>. <source>Int. J. Pharm.</source> <volume>601</volume>, <fpage>120571</fpage>. <pub-id pub-id-type="doi">10.1016/j.ijpharm.2021.120571</pub-id>
</citation>
</ref>
<ref id="B13">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hagisawa</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Kinoshita</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Takikawa</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Takeoka</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Saitoh</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Seki</surname>
<given-names>S.</given-names>
</name>
<etal/>
</person-group> (<year>2019</year>). <article-title>Combination therapy using fibrinogen &#x3b3;-chain peptide-coated, ADP-encapsulated liposomes and hemoglobin vesicles for trauma-induced massive hemorrhage in thrombocytopenic rabbits</article-title>. <source>Transfusion</source> <volume>59</volume> (<issue>10</issue>), <fpage>3186</fpage>&#x2013;<lpage>3196</lpage>. <pub-id pub-id-type="doi">10.1111/trf.15427</pub-id>
</citation>
</ref>
<ref id="B14">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jaafar-Maalej</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Diab</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Andrieu</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Elaissari</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Fessi</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>Ethanol injection method for hydrophilic and lipophilic drug-loaded liposome preparation</article-title>. <source>J. Liposome Res.</source> <volume>20</volume> (<issue>3</issue>), <fpage>228</fpage>&#x2013;<lpage>243</lpage>. <pub-id pub-id-type="doi">10.3109/08982100903347923</pub-id>
</citation>
</ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jahn</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Reiner</surname>
<given-names>J. E.</given-names>
</name>
<name>
<surname>Vreeland</surname>
<given-names>W. N.</given-names>
</name>
<name>
<surname>DeVoe</surname>
<given-names>D. L.</given-names>
</name>
<name>
<surname>Locascio</surname>
<given-names>L. E.</given-names>
</name>
<name>
<surname>Gaitan</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>Preparation of nanoparticles by continuous-flow microfluidics</article-title>. <source>J. Nanopart. Res.</source> <volume>10</volume>, <fpage>925</fpage>&#x2013;<lpage>934</lpage>. <pub-id pub-id-type="doi">10.1007/s11051-007-9340-5</pub-id>
</citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kastner</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Verma</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Lowry</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Perrie</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Microfluidic-controlled manufacture of liposomes for the solubilisation of a poorly water soluble drug</article-title>. <source>Int. J. Pharm.</source> <volume>485</volume> (<issue>1&#x2013;2</issue>), <fpage>122</fpage>&#x2013;<lpage>130</lpage>. <pub-id pub-id-type="doi">10.1016/j.ijpharm.2015.02.063</pub-id>
</citation>
</ref>
<ref id="B17">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kikuchi</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Suzuki</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Ebihara</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Morita</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Ishii</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Kilkuchi</surname>
<given-names>A.</given-names>
</name>
<etal/>
</person-group> (<year>1999</year>). <article-title>Gene delivery using liposome technology</article-title>. <source>J. Control. Release</source> <volume>62</volume> (<issue>1-2</issue>), <fpage>269</fpage>&#x2013;<lpage>277</lpage>. <pub-id pub-id-type="doi">10.1016/s0168-3659(99)00047-4</pub-id>
</citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kodama</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Shibata</surname>
<given-names>O.</given-names>
</name>
<name>
<surname>Nakamura</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Lee</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Sugihara</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2004</year>). <article-title>A monolayer study on three binary mixed systems of dipalmitoyl phosphatidyl choline with cholesterol, cholestanol and stigmasterol</article-title>. <source>Colloids Surf. B</source> <volume>33</volume> (<issue>3&#x2013;4</issue>), <fpage>211</fpage>&#x2013;<lpage>226</lpage>. <pub-id pub-id-type="doi">10.1016/j.colsurfb.2003.10.008</pub-id>
</citation>
</ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kostev&#x161;ek</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Cheung</surname>
<given-names>C. C. L.</given-names>
</name>
<name>
<surname>Ser&#x161;a</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>Kreft</surname>
<given-names>M. E.</given-names>
</name>
<name>
<surname>Monaco</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>Comes</surname>
<given-names>F.</given-names>
</name>
<etal/>
</person-group> (<year>2020</year>). <article-title>Magneto-liposomes as mri contrast agents: A systematic study of different liposomal formulations</article-title>. <source>Nanomaterials</source> <volume>10</volume> (<issue>5</issue>), <fpage>889</fpage>. <pub-id pub-id-type="doi">10.3390/nano10050889</pub-id>
</citation>
</ref>
<ref id="B20">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kraft</surname>
<given-names>J. C.</given-names>
</name>
<name>
<surname>Freeling</surname>
<given-names>J. P.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Ho</surname>
<given-names>R. J. Y.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Emerging research and clinical development trends of liposome and lipid nanoparticle drug delivery systems</article-title>. <source>J. Pharm. Sci.</source> <volume>103</volume>, <fpage>29</fpage>&#x2013;<lpage>52</lpage>. <pub-id pub-id-type="doi">10.1002/jps.23773</pub-id>
</citation>
</ref>
<ref id="B21">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lasic</surname>
<given-names>D. D.</given-names>
</name>
<name>
<surname>Martin</surname>
<given-names>F. J.</given-names>
</name>
</person-group> (<year>1990</year>). <article-title>On the mechanism of vesicle formation</article-title>. <source>J. Membr. Sci.</source> <volume>50</volume>, <fpage>215</fpage>&#x2013;<lpage>222</lpage>. <pub-id pub-id-type="doi">10.1016/S0376-7388(00)80317-8</pub-id>
</citation>
</ref>
<ref id="B22">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lewis</surname>
<given-names>B. A.</given-names>
</name>
<name>
<surname>Engelman</surname>
<given-names>D. M.</given-names>
</name>
</person-group> (<year>1983</year>). <article-title>Lipid bilayer thickness varies linearly with acyl chain length in fluid phosphatidylcholine vesicles</article-title>. <source>J. Mol. Biol.</source> <volume>166</volume>, <fpage>211</fpage>&#x2013;<lpage>217</lpage>. <pub-id pub-id-type="doi">10.1016/s0022-2836(83)80007-2</pub-id>
</citation>
</ref>
<ref id="B23">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Liu</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>A review of liposomes as a drug delivery system: current status of approved products, regulatory environments, and future perspectives</article-title>. <source>Mol. (Basel, Switz.</source> <volume>27</volume> (<issue>4</issue>), <fpage>1372</fpage>. <pub-id pub-id-type="doi">10.3390/molecules27041372</pub-id>
</citation>
</ref>
<ref id="B24">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Maeki</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Fujishima</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Sato</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Yasui</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Kaji</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Ishida</surname>
<given-names>A.</given-names>
</name>
<etal/>
</person-group> (<year>2017</year>). <article-title>Understanding the formation mechanism of lipid nanoparticles in microfluidic devices with chaotic micromixers</article-title>. <source>PLoS One</source> <volume>12</volume> (<issue>11</issue>), <fpage>e0187962</fpage>. <pub-id pub-id-type="doi">10.1371/journal.pone.0187962</pub-id>
</citation>
</ref>
<ref id="B25">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Maeki</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Saito</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Sato</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Yasui</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Kaji</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Ishida</surname>
<given-names>A.</given-names>
</name>
<etal/>
</person-group> (<year>2015</year>). <article-title>A strategy for synthesis of lipid nanoparticles using microfluidic devices with a mixer structure</article-title>. <source>RSC Adv.</source> <volume>5</volume>, <fpage>46181</fpage>&#x2013;<lpage>46185</lpage>. <pub-id pub-id-type="doi">10.1039/C5RA04690D</pub-id>
</citation>
</ref>
<ref id="B26">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Nagayasu</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Uchiyama</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Kiwada</surname>
<given-names>H.</given-names>
</name>
</person-group> (<year>1999</year>). <article-title>The size of liposomes: a factor which affects their targeting efficiency to tumors and therapeutic activity of liposomal antitumor drugs</article-title>. <source>Adv. Drug Deliv. Rev.</source> <volume>40</volume> (<issue>1-2</issue>), <fpage>75</fpage>&#x2013;<lpage>87</lpage>. <pub-id pub-id-type="doi">10.1016/s0169-409x(99)00041-1</pub-id>
</citation>
</ref>
<ref id="B27">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Natsuhara</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Saito</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Okamoto</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Nagai</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Shibata</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Mixing performance of a planar asymmetric contraction-and-expansion micromixer</article-title>. <source>Micromachine</source> <volume>13</volume> (<issue>9</issue>), <fpage>1386</fpage>. <pub-id pub-id-type="doi">10.3390/mi13091386</pub-id>
</citation>
</ref>
<ref id="B28">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Niu</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Lu</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Hovgaard</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Guan</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Tan</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Lian</surname>
<given-names>R.</given-names>
</name>
<etal/>
</person-group> (<year>2012</year>). <article-title>Hypoglycemic activity and oral bioavailability of insulin-loaded liposomes containing bile salts in rats: the effect of cholate type, particle size and administered dose</article-title>. <source>Eur. J. Pharm. Biopharm.</source> <volume>81</volume> (<issue>2</issue>), <fpage>265</fpage>&#x2013;<lpage>272</lpage>. <pub-id pub-id-type="doi">10.1016/j.ejpb.2012.02.009</pub-id>
</citation>
</ref>
<ref id="B29">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Obata</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Suzuki</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Takeoka</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>Evaluation of cationic assemblies constructed with amino acid based lipids for plasmid DNA delivery</article-title>. <source>Bioconjug. Chem.</source> <volume>19</volume> (<issue>5</issue>), <fpage>1055</fpage>&#x2013;<lpage>1063</lpage>. <pub-id pub-id-type="doi">10.1021/bc700416u</pub-id>
</citation>
</ref>
<ref id="B30">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Okamura</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Katsuno</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Suzuki</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Maruyama</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Handa</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Ikeda</surname>
<given-names>Y.</given-names>
</name>
<etal/>
</person-group> (<year>2010</year>). <article-title>Release abilities of adenosine diphosphate from phospholipid vesicles with different membrane properties and their hemostatic effects as a platelet substitute</article-title>. <source>J. Control. Release</source> <volume>148</volume> (<issue>3</issue>), <fpage>373</fpage>&#x2013;<lpage>379</lpage>. <pub-id pub-id-type="doi">10.1016/j.jconrel.2010.09.013</pub-id>
</citation>
</ref>
<ref id="B31">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pons</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Foradada</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Estelrich</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>1993</year>). <article-title>Liposomes obtained by the ethanol injection method</article-title>. <source>Int. J. Pharm.</source> <volume>95</volume>, <fpage>51</fpage>&#x2013;<lpage>56</lpage>. <pub-id pub-id-type="doi">10.1016/0378-5173(93)90389-W</pub-id>
</citation>
</ref>
<ref id="B32">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Saito</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Krauze</surname>
<given-names>M. T.</given-names>
</name>
<name>
<surname>Bringas</surname>
<given-names>J. R.</given-names>
</name>
<name>
<surname>Noble</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>McKnight</surname>
<given-names>T. R.</given-names>
</name>
<name>
<surname>Jackson</surname>
<given-names>P.</given-names>
</name>
<etal/>
</person-group> (<year>2005</year>). <article-title>Gadolinium-loaded liposomes allow for real-time magnetic resonance imaging of convection-enhanced delivery in the primate brain</article-title>. <source>Exp. Neurol.</source> <volume>196</volume> (<issue>2</issue>), <fpage>381</fpage>&#x2013;<lpage>389</lpage>. <pub-id pub-id-type="doi">10.1016/j.expneurol.2005.08.016</pub-id>
</citation>
</ref>
<ref id="B33">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sercombe</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Veerati</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Moheimani</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>S. Y.</given-names>
</name>
<name>
<surname>Sood</surname>
<given-names>A. K.</given-names>
</name>
<name>
<surname>Hua</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Advances and challenges of liposome assisted drug delivery</article-title>. <source>Front. Pharmacol.</source> <volume>6</volume>, <fpage>286</fpage>. <pub-id pub-id-type="doi">10.3389/fphar.2015.00286</pub-id>
</citation>
</ref>
<ref id="B34">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shepherd</surname>
<given-names>S. J.</given-names>
</name>
<name>
<surname>Warzecha</surname>
<given-names>C. C.</given-names>
</name>
<name>
<surname>Yadavali</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>El-Mayta</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Alameh</surname>
<given-names>M. G.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>L.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Scalable mRNA and siRNA lipid nanoparticle production using a parallelized microfluidic device</article-title>. <source>Nano Lett.</source> <volume>21</volume> (<issue>13</issue>), <fpage>5671</fpage>&#x2013;<lpage>5680</lpage>. <pub-id pub-id-type="doi">10.1021/acs.nanolett.1c01353</pub-id>
</citation>
</ref>
<ref id="B35">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sou</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Naito</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Endo</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Takeoka</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Tsuchida</surname>
<given-names>E.</given-names>
</name>
</person-group> (<year>2003</year>). <article-title>Effective encapsulation of proteins into size-controlled phospholipid vesicles using freeze-thawing and extrusion</article-title>. <source>Biotechnol. Prog.</source> <volume>19</volume> (<issue>5</issue>), <fpage>1547</fpage>&#x2013;<lpage>1552</lpage>. <pub-id pub-id-type="doi">10.1021/bp0201004</pub-id>
</citation>
</ref>
<ref id="B36">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>&#x160;turm</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Poklar Ulrih</surname>
<given-names>N.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Basic methods for preparation of liposomes and studying their interactions with different compounds, with the emphasis on polyphenols</article-title>. <source>Int. J. Mol. Sci.</source> <volume>22</volume> (<issue>12</issue>), <fpage>6547</fpage>. <pub-id pub-id-type="doi">10.3390/ijms22126547</pub-id>
</citation>
</ref>
<ref id="B37">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Takeoka</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Ohgushi</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Terase</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Ohmori</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Tsuchida</surname>
<given-names>E.</given-names>
</name>
</person-group> (<year>1996</year>). <article-title>Layer-controlled hemoglobin vesicles by interaction of hemoglobin with a phospholipid assembly</article-title>. <source>Langmuir</source> <volume>12</volume> (<issue>7</issue>), <fpage>1755</fpage>&#x2013;<lpage>1759</lpage>. <pub-id pub-id-type="doi">10.1021/la940936j</pub-id>
</citation>
</ref>
<ref id="B38">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tenchov</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Bird</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Curtze</surname>
<given-names>A. E.</given-names>
</name>
<name>
<surname>Zhou</surname>
<given-names>Q.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Lipid nanoparticles-from liposomes to mRNA vaccine delivery, a landscape of research diversity and advancement</article-title>. <source>ACS Nano</source> <volume>15</volume> (<issue>11</issue>), <fpage>16982</fpage>&#x2013;<lpage>17015</lpage>. <pub-id pub-id-type="doi">10.1021/acsnano.1c04996</pub-id>
</citation>
</ref>
<ref id="B39">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Thakur</surname>
<given-names>R. K.</given-names>
</name>
<name>
<surname>Vial</surname>
<given-names>Ch.</given-names>
</name>
<name>
<surname>Nigam</surname>
<given-names>K. D. P.</given-names>
</name>
<name>
<surname>Nauman</surname>
<given-names>E. B.</given-names>
</name>
<name>
<surname>Djelveh</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2003</year>). <article-title>Static mixers in the process industries&#x2014;a review</article-title>. <source>Chem. Eng. Res. Des.</source> <volume>81</volume>, <fpage>787</fpage>&#x2013;<lpage>826</lpage>. <pub-id pub-id-type="doi">10.1205/026387603322302968</pub-id>
</citation>
</ref>
<ref id="B40">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Xu</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Khan</surname>
<given-names>M. A.</given-names>
</name>
<name>
<surname>Burgess</surname>
<given-names>D. J.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Predicting hydrophilic drug encapsulation inside unilamellar liposomes</article-title>. <source>Inter. J. Pharm.</source> <volume>423</volume> (<issue>2</issue>), <fpage>410</fpage>&#x2013;<lpage>418</lpage>. <pub-id pub-id-type="doi">10.1016/j.ijpharm.2011.12.019</pub-id>
</citation>
</ref>
<ref id="B41">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yang</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Han</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>X.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>Comparative study on preparative methods of DC-Chol/DOPE liposomes and formulation optimization by determining encapsulation efficiency</article-title>. <source>Int. J. Pharm.</source> <volume>434</volume>, <fpage>155</fpage>&#x2013;<lpage>160</lpage>. <pub-id pub-id-type="doi">10.1016/j.ijpharm.2012.05.041</pub-id>
</citation>
</ref>
<ref id="B42">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zheng</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Tao</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Wan</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Lee</surname>
<given-names>K. Y.</given-names>
</name>
<name>
<surname>Zheng</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Leung</surname>
<given-names>S. S. Y.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Preparation of drug-loaded liposomes with multi-inlet vortex mixers</article-title>. <source>Pharmaceutics</source> <volume>14</volume> (<issue>6</issue>), <fpage>1223</fpage>. <pub-id pub-id-type="doi">10.3390/pharmaceutics14061223</pub-id>
</citation>
</ref>
<ref id="B43">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zook</surname>
<given-names>J. M.</given-names>
</name>
<name>
<surname>Vreeland</surname>
<given-names>W. N.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>Effects of temperature, acyl chain length, and flow-rate ratio on liposome formation and size in a microfluidic hydrodynamic focusing device</article-title>. <source>Soft Matter</source> <volume>6</volume>, <fpage>1352</fpage>&#x2013;<lpage>1360</lpage>. <pub-id pub-id-type="doi">10.1039/b923299k</pub-id>
</citation>
</ref>
</ref-list>
</back>
</article>