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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mol. Biosci.</journal-id>
<journal-title>Frontiers in Molecular Biosciences</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mol. Biosci.</abbrev-journal-title>
<issn pub-type="epub">2296-889X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
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<article-meta>
<article-id pub-id-type="publisher-id">1405383</article-id>
<article-id pub-id-type="doi">10.3389/fmolb.2024.1405383</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Molecular Biosciences</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Effect of high sodium ion level on the interaction of AmB with a cholesterol-rich phospholipid monolayer</article-title>
<alt-title alt-title-type="left-running-head">Wang et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fmolb.2024.1405383">10.3389/fmolb.2024.1405383</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Wang</surname>
<given-names>Juan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1351336/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Qiang</surname>
<given-names>Jiahao</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Li</surname>
<given-names>Jinzi</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Dengwu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Xi&#x2019;an Key Laboratory of Advanced Photo-electronics Materials and Energy Conversion Device</institution>, <institution>School of Electronic Information</institution>, <institution>Xijing University</institution>, <addr-line>Xi&#x2019;an</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Shaanxi Engineering Research Center of Controllable Neutron Source</institution>, <institution>School of Electronic Information</institution>, <institution>Xijing University</institution>, <addr-line>Xi&#x2019;an</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/255144/overview">Diletta Ami</ext-link>, University of Milano-Bicocca, Italy</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/2701709/overview">Anita Wn&#x119;trzak</ext-link>, Jagiellonian University, Poland</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2703204/overview">Runguang Sun</ext-link>, Shaanxi Normal University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Juan Wang, <email>wjbiophysics@yeah.net</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>09</day>
<month>05</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>11</volume>
<elocation-id>1405383</elocation-id>
<history>
<date date-type="received">
<day>22</day>
<month>03</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>10</day>
<month>04</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Wang, Qiang, Li and Wang.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Wang, Qiang, Li and Wang</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>Invasive fungal infections are a primary reason for high mortality in immunocompromised people, especially in critically ill patients, such as intensive care unit (ICU) patients, advanced cancer patients, or severe burn patients. Hypernatremia also can increase mortality in severely ill patients. Amphotericin B (AmB) is the gold standard for treating infections, but in severely ill patients, AmB can cause hematotoxicity when administered intravenously due to its interaction with cholesterol on red blood cell membranes. This results in limited doses of AmB and affects the treatment of infections. The proportion of cholesterol molecules in membrane lipids in red blood cells is as high as 50&#xa0;mol%, and the sodium ions can influence the interaction between AmB and lipids on the membrane. Therefore, in the complex clinical situation of a severely ill patient with a fungal infection and hypernatremia, the interaction between amphotericin B and the red blood cell membranes is worth studying in depth. In this work, the interaction between AmB and the dipalmitoyl phosphatidylcholine (DPPC)/cholesterol mixed monolayer in the presence of high sodium ion levels was studied when the proportion of cholesterol was 50%. The results show that the effect of AmB on reducing the monolayer&#x2019;s area at a high level of sodium ions is slightly stronger at 30&#xa0;mN/m. The effect of AmB on reducing the elastic modulus of the DPPC/Chol monolayer is significantly weakened by a high sodium ion level, compared with the level of sodium ions at normal physiological concentration. The higher the sodium ion concentration, the weaker the intermolecular force of the DPPC/Chol/AmB mixed monolayers. The scanning electron microscope (SEM) and atomic force microscopy (AFM) observations suggest that at a high sodium ion level, the presence of AmB significantly reduces the surface roughness of the DPPC/Chol monolayer. AmB may bind to cholesterol molecules, and it isolates cholesterol from the monolayer, resulting in a reduced height of the cholesterol-rich monolayer and an increasingly dispersed monolayer region. The results are beneficial to understanding the mechanism of impact of a high sodium ion level on the relationship between AmB and red blood cell membranes rich in cholesterol and are valuable for understanding the hemolytic toxicity of AmB to red blood cells at a high sodium ion level.</p>
</abstract>
<kwd-group>
<kwd>monolayer</kwd>
<kwd>amphotericin B</kwd>
<kwd>atomic force microscopy</kwd>
<kwd>sodium ions</kwd>
<kwd>cholesterol</kwd>
</kwd-group>
<contract-sponsor id="cn001">Natural Science Foundation of Shaanxi Province<named-content content-type="fundref-id">10.13039/501100007128</named-content>
</contract-sponsor>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Molecular Biophysics</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Invasive fungal infections carry a high mortality rate (<xref ref-type="bibr" rid="B19">Hagiya et al., 2023</xref>). In particular, critically ill patients, such as intensive care unit (ICU) patients, advanced cancer patients, or severe burn patients, are prone to fungal infection due to low immunity, which leads to disease aggravation or death (<xref ref-type="bibr" rid="B45">Smith, 2010</xref>; <xref ref-type="bibr" rid="B5">Candel et al., 2020</xref>; <xref ref-type="bibr" rid="B28">Matthew et al., 2020</xref>; <xref ref-type="bibr" rid="B55">Wen et al., 2022</xref>). Among the existing antifungal drugs, amphotericin B (AmB) has the broadest spectrum of activity and is the gold standard for the clinical treatment of invasive fungal infections (<xref ref-type="bibr" rid="B25">Kumari et al., 2022</xref>). Due to the limitation of drug safety indicators, AmB cannot be used in clinically effective doses due to kidney injury or hematotoxicity, which greatly affects the efficacy (<xref ref-type="bibr" rid="B23">Kotani et al., 2013</xref>). The key reason for the toxicity of this drug is its high affinity with cholesterol, which damages the cell membrane structure (<xref ref-type="bibr" rid="B13">Fournier et al., 2008</xref>). The affinity is due to a consequence of hydrogen bond formation between the OH group of cholesterol and the protonated amino group of AmB (<xref ref-type="bibr" rid="B12">Dynarowicz-L&#x105;tka et al., 2002</xref>). It is possible that two horizontally oriented AmB molecules and one dipalmitoyl phosphatidylcholine (DPPC) molecule in the vertical position form a stable complex that affects the thermodynamic properties of phospholipid membrane (<xref ref-type="bibr" rid="B30">Minones et al., 2004</xref>). At the same time, in recent years, some studies have found that AmB has the potential to induce immunogenic cell death and that induction is relative to the effect of AmB on the cell membrane (<xref ref-type="bibr" rid="B29">Medoff et al., 1974</xref>; <xref ref-type="bibr" rid="B46">Stein et al., 1982</xref>). With the gradual discovery of more functions of AmB, it is increasingly urgent to investigate the interaction mechanism between AmB and phospholipids in cell membranes. In addition to systemic fungal infections, increased mortality in severely ill patients is also associated with abnormal serum sodium concentration levels, especially in patients with severe burns (<xref ref-type="bibr" rid="B44">Sen et al., 2017</xref>; <xref ref-type="bibr" rid="B16">Grim et al., 2021</xref>). Many patients have abnormal blood sodium levels during ICU admission, and in patients with hypernatremia (serum sodium concentration greater than 145&#xa0;mmol/L), the mortality rate was relatively increased (<xref ref-type="bibr" rid="B35">Oude et al., 2016</xref>). When patients are in this complex clinical environment, the effect of dose-limited amphotericin B in the treatment of antifungal infection may be affected. It is of practical significance to study the interaction between AmB and phospholipids in cell membranes at the condition of a high sodium ion level.</p>
<p>Studies have shown that the relationship between AmB and the cell membrane can be affected by the metal cation (<xref ref-type="bibr" rid="B14">Gago&#x15b; and Arczewska, 2011</xref>; <xref ref-type="bibr" rid="B2">Becucci et al., 2013</xref>). According to one report, a high sodium intake (&#x003e;4 mEQ/kg) may inhibit the toxicity of AmB to the kidneys (<xref ref-type="bibr" rid="B49">Turcu et al., 2009</xref>). It is also proposed that AmB may hinder the ATP (Na<sup>&#x002B;</sup>-K<sup>&#x002B;</sup>) activity in animal cells (<xref ref-type="bibr" rid="B4">Brajtburg and Bolard, 1996</xref>; <xref ref-type="bibr" rid="B1">Arczewska and Gago&#x15b;, 2011</xref>). The impact of potassium ions on the interaction between AmB and membrane has been investigated in our previous works. Although sodium ions and potassium ions are both monovalent ions, their impacts on the interaction between AmB and phospholipid membranes are different due to their different sizes (<xref ref-type="bibr" rid="B1">Arczewska and Gago&#x15b;, 2011</xref>). The impact of sodium ions on the relationship between AmB and the phospholipid membrane or the phospholipid-cholesterol membrane has been studied using a vesicle bilayer as a cell membrane model (<xref ref-type="bibr" rid="B53">Wang et al., 2017</xref>). When cholesterol is present in the membrane system, the impact of sodium ions on the membrane system is clearly different than the impact on systems without cholesterol. The Na<sup>&#x002B;</sup> ions can promote cholesterol to enhance the fluidity of the phospholipid membrane, which may be the main reason why sodium ions affect the interaction between AmB and the membrane.</p>
<p>Cholesterol is an important sterol on the cell membrane and is also a lipid that forms a functional lipid raft (<xref ref-type="bibr" rid="B31">Morgan et al., 2020</xref>). Among all the lipids in the cell membrane, the proportion of cholesterol molecules reaches approximately 30&#xa0;mol% (<xref ref-type="bibr" rid="B33">Nigam, 2020</xref>). The interaction between AmB and phospholipid membrane has been studied at this cholesterol ratio (<xref ref-type="bibr" rid="B50">Wang et al., 2020a</xref>; <xref ref-type="bibr" rid="B51">Wang et al., 2020b</xref>). However, this drug faces a complex cellular environment after entering the body, and when administered intravenously, it comes into contact with red blood cells. The blood toxicity of AmB is dependent on the destruction of the erythrocyte membrane by AmB. In red blood cells, the proportion of cholesterol molecules in membrane lipids is as high as 50&#xa0;mol% (<xref ref-type="bibr" rid="B42">Rosenhouse-Dantsker et al., 2023</xref>). Cholesterol is a regulator of signaling molecules and functional proteins, and it also happens to be the binding site of AmB affinity to cell membranes. Dipalmitoyl phosphatidylcholine (DPPC) is a kind of saturated phospholipid that is often present in the outer cell membrane leaflet (<xref ref-type="bibr" rid="B56">Wn&#x119;trzak et al., 2021</xref>). Due to its clear phase transitions and well-defined mechanical and thermodynamic properties, DPPC has been widely used in Langmuir monolayers as a membrane model (<xref ref-type="bibr" rid="B43">Ruiz et al., 2020</xref>). A mixed membrane composed of DPPC and cholesterol has been widely employed to research the drug/protein-lipid interaction (<xref ref-type="bibr" rid="B47">Tovani et al., 2013</xref>; <xref ref-type="bibr" rid="B50">Wang et al., 2020a</xref>; <xref ref-type="bibr" rid="B37">Pereira et al., 2021</xref>). The interaction between amphotericin B and the phospholipid membrane where much cholesterol accumulates is noteworthy, and it is helpful to understand the mechanism of hematotoxicity caused by AmB damage to the erythrocyte membrane.</p>
<p>The vesicle bilayer is a simplified model used to study the cell membrane system <italic>in vitro</italic> (<xref ref-type="bibr" rid="B48">Tr&#xe4;ger et al., 2023</xref>), and the curvature and size of the bilayer are close to the real cell membrane. However, the composition of the bilayer is difficult to control precisely, and information about the thermodynamic characteristics of the membrane system cannot be obtained. A Langmuir monolayer model can accurately control components of membrane, environment, temperature, and other conditions, and it is very suitable for exploring the lipid&#x2013;drug interaction (<xref ref-type="bibr" rid="B38">Pires et al., 2019</xref>; <xref ref-type="bibr" rid="B39">Pires et al., 2020</xref>; <xref ref-type="bibr" rid="B21">Jurak et al., 2021</xref>; <xref ref-type="bibr" rid="B20">Jochelavicius et al., 2022</xref>). The surface pressure and the molecular packing of the lipid membrane can be modified in the monolayer model (<xref ref-type="bibr" rid="B40">Pivetta et al., 2023</xref>). The AmB molecule consists of a fungal amine group and a large lactone ring with seven double bonds that are connected to the main ring by glycosidic bonds that have a very rigid structure. It is an amphiphilic molecule with both hydrophobic (polyolefin chain) and hydrophilic (polyhydroxyl chain) properties (<xref ref-type="bibr" rid="B34">Oliveira et al., 2021</xref>). This is very suitable for the Langmuir monolayer model to analyze the interaction between AmB and biomembrane at high sodium ion levels.</p>
<p>Therefore, in this work, the association between AmB and a saturated phospholipid monolayer containing 50&#xa0;mol% cholesterol molecules in the presence of Na<sup>&#x002B;</sup> ions has been explored by the Langmuir method, scanning electron microscopy, and atomic force microscopy. Moreover, the findings are conducive to comprehending the mechanism of the influence of high sodium ion levels on the interaction between drugs and lipid membranes rich in cholesterol when AmB interacts with the outer membrane of red blood cells.</p>
</sec>
<sec id="s2" sec-type="materials|methods">
<title>2 Materials and methods</title>
<sec id="s2-1">
<title>2.1 Materials</title>
<p>All powder lipids and drugs were purchased from Sigma, United States. The purity of lipids is found to be greater than 99%. The purity of the purchased amphotericin B was greater than 80%; it was purified to 99% by means of HPLC mentioned in the literature (<xref ref-type="bibr" rid="B1">Arczewska and Gago&#x15b;, 2011</xref>) before use. Before the experiment, the lipid mixture and the drug solution were prepared by dissolving a 1:1&#xa0;M ratio of phospholipids and cholesterol into a chloroform/methanol mixture (9:1, v/v) to form a 0.7&#xa0;mM mixed solution. Amphotericin B was dissolved into a 3:1 (v/v) mixture of dimethylformamide and 1&#xa0;M HCl to form a drug solution with a concentration of 0.7&#xa0;mM. The aqueous solution at the air-water interface was a 20&#xa0;mM HEPES (N-2-hydroxyethylpiperazine-N-2-ethanesulfonic acid) buffer with a stable pH value of 7.0. Sodium ions were dissolved into a HEPES buffer to form an interface environment with different concentrations (0&#xa0;mM, 140&#xa0;mM, and 280&#xa0;mM) of sodium ions. The ultrapure water applied in the experiment came from a Milli-Q plus water purification system (18.2&#xa0;M&#x3a9;/cm, Millipore, United States).</p>
</sec>
<sec id="s2-2">
<title>2.2 Langmuir technique</title>
<p>An air&#x2013;water interface was offered by the Langmuir trough (KSV-Minitrough, Finland). The monolayer at the interface can be compressed inward or expanded outward by two Teflon barriers at a certain speed. In this process, a Wilhelmy-type tensiometer was adopted to detect the change in the monolayer&#x2019;s surface pressure.</p>
<p>First, before conducting the experiment, the Teflon trough and two Teflon barriers were cleaned with ethanol to ensure that no other impurities were mixed. Second, 200&#xa0;mL HEPES with or without Na<sup>&#x002B;</sup> ions were added to the trough. Third, a Hamilton microsyringe was used to extract 20 <inline-formula id="inf1">
<mml:math id="m1">
<mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> of the mixed lipid solution, which was dripped onto the surface of the HEPES buffer. For the AmB-lipid monolayer experiment, add 10 &#x3bc;L lipid mixture and 10 &#x3bc;L drug solution onto the surface of the buffer successively. The solvent was allowed to evaporate for 10&#xa0;min. The monolayer was compressed by 7&#xa0;mm/min, and the surface pressure-mean molecular area isotherms (<inline-formula id="inf4">
<mml:math id="m4">
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>A</mml:mi>
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</inline-formula>) of the monolayer were measured. When the monolayer was compressed to 30&#xa0;mN/m, the pressure was stopped and kept constant, and the surface pressure change over time was measured. All experiments were repeated three times to ensure the repeatability of the data. An external circulator was used to keep the temperature at 35 &#xb1; 1 &#xb0;C.</p>
</sec>
<sec id="s2-3">
<title>2.3 Scanning electron microscope and atomic force microscopy</title>
<p>After the monolayer was compressed to a fixed surface pressure, the surface pressure was kept constant. The Langmuir monolayer was transferred with a dipping rate of 1&#xa0;mm/min onto the fresh mica at 30&#xa0;mN/m to form the Langmuir&#x2013;Blodgett (LB) film (<xref ref-type="bibr" rid="B32">Nepal and Stine, 2023</xref>), the morphology of which can be observed through a scanning electron microscope (SEM, Hitachi, Japan) and atomic force microscopy (AFM, Shimadzu, Japan). The monolayer films were coated with gold before the SEM examination, and the SEM images were obtained in the range of <inline-formula id="inf6">
<mml:math id="m6">
<mml:mrow>
<mml:mn>20</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>m</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>20</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>. The film samples for AFM testing were not otherwise processed. The force constant of the probe used in AFM testing is 0.1&#xa0;N/m. The morphology of monolayer films was observed in the intermittent contact mode.</p>
</sec>
</sec>
<sec id="s3" sec-type="results|discussion">
<title>3 Results and discussion</title>
<sec id="s3-1">
<title>3.1 Surface pressure&#x2013;mean molecular area isotherms</title>
<p>Compared with the three-dimensional system, the monolayer on the interface can be regarded as a two-dimensional system. In the process of compression, the <inline-formula id="inf7">
<mml:math id="m7">
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> isotherm reflects the change process of different phase states of monolayer, including gaseous, liquid-expanded (LE), liquid-condensed (LC), solid, and intermediate or transition films (<xref ref-type="bibr" rid="B47">Tovani et al., 2013</xref>; <xref ref-type="bibr" rid="B32">Nepal and Stine, 2023</xref>). Three characteristic parameters are usually defined on the isotherm to analyze the phase behavior of monolayers (<xref ref-type="bibr" rid="B6">Chen et al., 2007</xref>; <xref ref-type="bibr" rid="B54">Wang et al., 2018</xref>): the liftoff area <inline-formula id="inf8">
<mml:math id="m8">
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<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>L</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, the limiting area <inline-formula id="inf9">
<mml:math id="m9">
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>&#x221e;</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, and the collapse pressure <inline-formula id="inf10">
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<mml:mrow>
<mml:msub>
<mml:mi>&#x3c0;</mml:mi>
<mml:mi>C</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. The mean molecular area is called the liftoff area <inline-formula id="inf11">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>L</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> when the <inline-formula id="inf12">
<mml:math id="m12">
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> isotherm increases from the baseline. The limiting area <inline-formula id="inf13">
<mml:math id="m13">
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>&#x221e;</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> can be calculated by extrapolating the slope of the isotherm in its steepest range to the zero-surface pressure (<xref ref-type="bibr" rid="B11">Devterova et al., 2020</xref>), which is an empirical parameter around the mean molecular cross-sectional area. At the high surface pressure of the isotherm, with increasing surface pressure, the mean molecular area suddenly decreases, indicating that the monolayer has collapsed. The surface pressure and mean molecular area at collapse are, respectively, the collapse pressure <inline-formula id="inf14">
<mml:math id="m14">
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</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and collapse area <inline-formula id="inf15">
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<mml:mi>C</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
<p>From <xref ref-type="table" rid="T1">Table 1</xref>, for the DPPC monolayer containing 50&#xa0;mol% cholesterol, the values of parameters <inline-formula id="inf16">
<mml:math id="m16">
<mml:mrow>
<mml:msub>
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</mml:math>
</inline-formula>, <inline-formula id="inf17">
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<mml:mi>&#x221e;</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf18">
<mml:math id="m18">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c0;</mml:mi>
<mml:mi>C</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> all gradually tend to increase with increasing sodium ion concentration in the subphase without amphotericin B. However, there is no significant pattern in the trend of the <inline-formula id="inf19">
<mml:math id="m19">
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>C</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> value with the growing sodium ion concentration. When the concentration of sodium ions is 140&#xa0;mM, the <inline-formula id="inf20">
<mml:math id="m20">
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>C</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> value reached a minimum, which may be due to the collapse of the monolayer folds or the formation of multiple layers.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>
<italic>A</italic>
<sub>
<italic>L</italic>
</sub>, <italic>A</italic>
<sub>
<italic>&#x221e;</italic>
</sub>, <italic>&#x3c0;</italic>
<sub>
<italic>C</italic>
</sub>, and <italic>A</italic>
<sub>
<italic>C</italic>
</sub> parameter values of the DPPC monolayer that contains 50&#xa0;mol% cholesterol with or without AmB in the presence of sodium ions.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Monolayer</th>
<th align="center">Concentration of Na<sup>&#x002B;</sup>/mM</th>
<th align="center">
<inline-formula id="inf25">
<mml:math id="m25">
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>L</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msup>
<mml:mi>&#xc5;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<inline-formula id="inf26">
<mml:math id="m26">
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>&#x221e;</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msup>
<mml:mi>&#xc5;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<inline-formula id="inf27">
<mml:math id="m27">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c0;</mml:mi>
<mml:mi>C</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:mi>m</mml:mi>
<mml:mi>N</mml:mi>
<mml:mo>/</mml:mo>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<inline-formula id="inf28">
<mml:math id="m28">
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>C</mml:mi>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:msup>
<mml:mi>&#xc5;</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center" rowspan="3">DPPC/Chol (1:1)</td>
<td align="center">0</td>
<td align="center">59.58 <inline-formula id="inf29">
<mml:math id="m29">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.31</td>
<td align="center">50.72 <inline-formula id="inf30">
<mml:math id="m30">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.22</td>
<td align="center">52.80 <inline-formula id="inf31">
<mml:math id="m31">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.11</td>
<td align="center">32.38 <inline-formula id="inf32">
<mml:math id="m32">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.29</td>
</tr>
<tr>
<td align="center">140</td>
<td align="center">72.92 <inline-formula id="inf33">
<mml:math id="m33">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.21</td>
<td align="center">52.71 <inline-formula id="inf34">
<mml:math id="m34">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.27</td>
<td align="center">54.15 <inline-formula id="inf35">
<mml:math id="m35">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.10</td>
<td align="center">29.31 <inline-formula id="inf36">
<mml:math id="m36">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.24</td>
</tr>
<tr>
<td align="center">280</td>
<td align="center">88.75 <inline-formula id="inf37">
<mml:math id="m37">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.29</td>
<td align="center">61.14 <inline-formula id="inf38">
<mml:math id="m38">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.23</td>
<td align="center">60.48 <inline-formula id="inf39">
<mml:math id="m39">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.12</td>
<td align="center">33.04 <inline-formula id="inf40">
<mml:math id="m40">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.27</td>
</tr>
<tr>
<td align="center" rowspan="3">DPPC/Chol/AmB (0.5:0.5:1)</td>
<td align="center">0</td>
<td align="center">125.41 <inline-formula id="inf41">
<mml:math id="m41">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.28</td>
<td align="center">48.74 <inline-formula id="inf42">
<mml:math id="m42">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.23</td>
<td align="center">34.47 <inline-formula id="inf43">
<mml:math id="m43">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.11</td>
<td align="center">
<inline-formula id="inf44">
<mml:math id="m44">
<mml:mrow>
<mml:mn>23.34</mml:mn>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.36</td>
</tr>
<tr>
<td align="center">140</td>
<td align="center">113.08 <inline-formula id="inf45">
<mml:math id="m45">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.35</td>
<td align="center">40.07 <inline-formula id="inf46">
<mml:math id="m46">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.34</td>
<td align="center">42.79 <inline-formula id="inf47">
<mml:math id="m47">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.13</td>
<td align="center">23.29 <inline-formula id="inf48">
<mml:math id="m48">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.37</td>
</tr>
<tr>
<td align="center">280</td>
<td align="center">125.11 <inline-formula id="inf49">
<mml:math id="m49">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.19</td>
<td align="center">48.34 <inline-formula id="inf50">
<mml:math id="m50">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.31</td>
<td align="center">47.19 <inline-formula id="inf51">
<mml:math id="m51">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.15</td>
<td align="center">23.13 <inline-formula id="inf52">
<mml:math id="m52">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.31</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>When amphotericin B was added to the monolayer, the value of <inline-formula id="inf53">
<mml:math id="m53">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c0;</mml:mi>
<mml:mi>C</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> gradually increases with the increasing sodium ion concentration, and the <inline-formula id="inf54">
<mml:math id="m54">
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>C</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> value at collapse gradually decreases. Compared to the absence of sodium ions, the values of <inline-formula id="inf55">
<mml:math id="m55">
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>L</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf56">
<mml:math id="m56">
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>&#x221e;</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> of the lipid/AmB mixed monolayer decrease at a concentration of 140&#xa0;mM sodium ions, while the values of <inline-formula id="inf57">
<mml:math id="m57">
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>L</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf58">
<mml:math id="m58">
<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mi>&#x221e;</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> do not change significantly in the presence of 280&#xa0;mM sodium ions.</p>
<p>From <xref ref-type="fig" rid="F1">Figure 1B</xref>, when the surface pressure is lower than 15&#xa0;mN/m, the increment of monolayer area induced by AmB is reduced by sodium ions under the same surface pressure. When the surface pressure is higher than 17&#xa0;mN/m, AmB reduces the monolayer area, and sodium ions can enhance this effect. When the surface pressure is greater than 28&#xa0;mN/m, the reduction of monolayer area caused by AmB tends to be stable, and the effect of AmB at the high level of sodium ions is slightly stronger than that at 140&#xa0;mM concentration of sodium ions.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>
<inline-formula id="inf59">
<mml:math id="m59">
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> isotherm of a DPPC monolayer containing 50&#xa0;mol% cholesterol with or without AmB in the presence of sodium ions <bold>(A).</bold> The increase in the mean molecular area caused by AmB varies with the surface pressure <bold>(B)</bold>.</p>
</caption>
<graphic xlink:href="fmolb-11-1405383-g001.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>3.2 The modulus of elasticity for the monolayers</title>
<p>The compressibility of monolayers is often characterized by an important parameter, the modulus of elasticity, obtained by the data of a <inline-formula id="inf60">
<mml:math id="m60">
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> isotherm using the following formula (<xref ref-type="bibr" rid="B10">Davies and Rideal, 1963</xref>; <xref ref-type="bibr" rid="B24">Krajewska et al., 2013</xref>; <xref ref-type="bibr" rid="B26">Machado and Caseli, 2020</xref>):<disp-formula id="e1">
<mml:math id="m61">
<mml:mrow>
<mml:msubsup>
<mml:mi>C</mml:mi>
<mml:mi>s</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x003D;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>A</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mfenced close=")" open="(" separators="&#x7c;">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>&#x3c0;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2202;</mml:mo>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi>T</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>where <italic>s</italic> refers to the cross-sectional area of the monolayer at the interface, <italic>A</italic> indicates the mean molecular area, and <italic>&#x3c0;</italic> denotes the surface pressure. A large <inline-formula id="inf61">
<mml:math id="m62">
<mml:mrow>
<mml:msubsup>
<mml:mi>C</mml:mi>
<mml:mi>s</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> value suggests low compressibility of the monolayer.</p>
<p>Based on <xref ref-type="fig" rid="F2">Figures 2A,B</xref>, the elastic modulus of the DPPC monolayer, including 50&#xa0;mol% cholesterol, gradually decreases with the increasing sodium ion concentration in the 5&#x2013;40&#xa0;mN/m range of surface pressures, suggesting the compressibility and disorder of the lipid monolayer increases. When amphotericin B is present, the <inline-formula id="inf62">
<mml:math id="m63">
<mml:mrow>
<mml:msubsup>
<mml:mi>C</mml:mi>
<mml:mi>s</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> value of mixed monolayers all decreases compared with the DPPC monolayer containing 50&#xa0;mol% cholesterol. This may be due to the formation of the compound of AmB and cholesterol (<xref ref-type="bibr" rid="B3">Borzyszkowska-Bukowska et al., 2023</xref>). The presence of sodium ions significantly causes the <inline-formula id="inf63">
<mml:math id="m64">
<mml:mrow>
<mml:msubsup>
<mml:mi>C</mml:mi>
<mml:mi>s</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> value to decrease in the 18.7&#x2013;30&#xa0;mN/m range of surface pressures. Nevertheless, the <inline-formula id="inf64">
<mml:math id="m65">
<mml:mrow>
<mml:msubsup>
<mml:mi>C</mml:mi>
<mml:mi>s</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> values are little different in the presence of 140&#xa0;mM and 280&#xa0;mM sodium ions. At the same time, there is a minimum value for the elastic modulus of the DPPC/Chol/AmB mixed monolayer in the absence of sodium ions, consistent with a phase transition. The reason for this is that the orientation of the AmB molecule is altered to a vertical direction from a horizontal direction (<xref ref-type="bibr" rid="B1">Arczewska and Gago&#x15b;, 2011</xref>). The degree of influence of AmB on the elastic modulus of the DPPC/Chol monolayer is interfered with by the sodium ion levels (<xref ref-type="fig" rid="F2">Figure 2B</xref>). Compared with the level of sodium ions at normal physiological concentration, the effect of AmB on reducing the elastic modulus of DPPC/Chol monolayer is significantly weakened by high sodium ion level.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>
<inline-formula id="inf65">
<mml:math id="m66">
<mml:mrow>
<mml:msubsup>
<mml:mi>C</mml:mi>
<mml:mi>s</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x3c0;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> curves of DPPC monolayer containing 50&#xa0;mol% cholesterol with or without AmB in the presence of sodium ions <bold>(A).</bold> The increase of <inline-formula id="inf66">
<mml:math id="m67">
<mml:mrow>
<mml:msubsup>
<mml:mi>C</mml:mi>
<mml:mi>s</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> caused by AmB varies with the surface pressure <bold>(B)</bold>.</p>
</caption>
<graphic xlink:href="fmolb-11-1405383-g002.tif"/>
</fig>
</sec>
<sec id="s3-3">
<title>3.3 Intermolecular interaction from excess Gibbs free energy</title>
<p>The excess Gibbs free energy of mixing <inline-formula id="inf67">
<mml:math id="m68">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mo>&#x2206;</mml:mo>
<mml:mi>G</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>x</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> can indicate the interaction force between the molecules on the monolayer. It was calculated for the Langmuir monolayer composed of three components at a given <inline-formula id="inf68">
<mml:math id="m69">
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> value according to the following formula (<xref ref-type="bibr" rid="B17">Gzyl-Malcher et al., 2012</xref>):<disp-formula id="e2">
<mml:math id="m70">
<mml:mrow>
<mml:mo>&#x2206;</mml:mo>
<mml:msup>
<mml:mi>G</mml:mi>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>x</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:msup>
<mml:mo>&#x003D;</mml:mo>
<mml:mi>N</mml:mi>
<mml:msubsup>
<mml:mo>&#x222b;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mi>&#x3c0;</mml:mi>
</mml:msubsup>
<mml:msup>
<mml:mi>A</mml:mi>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>x</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:msup>
<mml:mi>d</mml:mi>
<mml:mi>&#x3c0;</mml:mi>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where <inline-formula id="inf69">
<mml:math id="m71">
<mml:mrow>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> refers to Avogadro&#x2019;s number and <inline-formula id="inf70">
<mml:math id="m72">
<mml:mrow>
<mml:msup>
<mml:mi>A</mml:mi>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>x</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> represents the excess area defined as follows (<xref ref-type="bibr" rid="B36">Panda et al., 2009</xref>):<disp-formula id="e3">
<mml:math id="m73">
<mml:mrow>
<mml:msup>
<mml:mi>A</mml:mi>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>x</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:msup>
<mml:mo>&#x003D;</mml:mo>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mn>123</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where <italic>A</italic>
<sub>
<italic>123</italic>
</sub> is the mean molecular area of the mixed monolayer, and <italic>A</italic>
<sub>
<italic>1</italic>
</sub>, <italic>A</italic>
<sub>
<italic>2</italic>
</sub>, and <italic>A</italic>
<sub>
<italic>3</italic>
</sub> are the mean molecular areas of the pure monolayer of components 1, 2, and 3, respectively, at a given <inline-formula id="inf71">
<mml:math id="m74">
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> value. <italic>X</italic>
<sub>
<italic>1</italic>
</sub>
<italic>, X</italic>
<sub>
<italic>2</italic>
</sub>, and <italic>X</italic>
<sub>
<italic>3</italic>
</sub> are, respectively, the molar fractions of components 1, 2, and 3 in the mixed monolayer. A negative value of <inline-formula id="inf72">
<mml:math id="m75">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mo>&#x2206;</mml:mo>
<mml:mi>G</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>x</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> suggests an attractive force of intermolecular interaction (<xref ref-type="bibr" rid="B27">Marsh, 1996</xref>). The absolute value of <inline-formula id="inf73">
<mml:math id="m76">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mo>&#x2206;</mml:mo>
<mml:mi>G</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>x</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> is large, meaning the force is strong.</p>
<p>According to <xref ref-type="fig" rid="F3">Figure 3</xref>, the <inline-formula id="inf74">
<mml:math id="m77">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mo>&#x2206;</mml:mo>
<mml:mi>G</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>x</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> value of the DPPC/Chol mixed monolayer is negative, which is consistent with the literature (<xref ref-type="bibr" rid="B8">Chou and Chang, 2000</xref>; <xref ref-type="bibr" rid="B15">Gong et al., 2002</xref>). The value is negative in all cases of the lipid&#x2013;drug mixed monolayer, suggesting that the intermolecular force shows up as attraction. The absolute value of <inline-formula id="inf75">
<mml:math id="m78">
<mml:mrow>
<mml:mo>&#x2206;</mml:mo>
<mml:msup>
<mml:mi>G</mml:mi>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>x</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> of the DPPC/Chol/AmB system is all less than that of DPPC/Chol system, regardless of the presence or concentration of sodium ions. The findings indicate that the intermolecular force of the lipid&#x2013;drug mixed system is smaller than that of the lipid system. The intermolecular force between DPPC and cholesterol is weakened due to the formation of the AmB-Chol complex. It is suggested that the incorporation of the AmB drug is thermodynamically unfavorable and induces membrane destabilization, which is consistent with the literature (<xref ref-type="bibr" rid="B18">H&#x105;c-Wydro et al., 2009</xref>). In order to make the analysis results of the monolayer more biologically significant, the results at 30&#xa0;mN/m were discussed. At 30&#xa0;mN/m, the properties of pressure, area per molecule, phase transition, and compressibility of monolayer films are similar to those of natural bilayer films (<xref ref-type="bibr" rid="B27">Marsh, 1996</xref>). At 30&#xa0;mN/m, the intermolecular force of the DPPC monolayer containing 50&#xa0;mol% cholesterol is insensitive to the sodium ions in low concentration. With a high concentration of sodium ions, the intermolecular force is obviously weakened. Differently, the intermolecular force of the DPPC/Chol/AmB mixed monolayers shows a clear rule with the change of sodium ion concentration: the higher the sodium ion concentration, the weaker the intermolecular force.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Excess Gibbs free energy of mixing (<inline-formula id="inf76">
<mml:math id="m79">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mo>&#x2206;</mml:mo>
<mml:mi>G</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>x</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>) of DPPC monolayers containing 50&#xa0;mol% cholesterol with or without AmB in the presence of sodium ions at different surface pressures.</p>
</caption>
<graphic xlink:href="fmolb-11-1405383-g003.tif"/>
</fig>
</sec>
<sec id="s3-4">
<title>3.4 Relaxation of the DPPC monolayers containing 50&#xa0;mol% cholesterol with or without AmB at constant area</title>
<p>The stability of the mixed monolayers was studied by a relaxation experiment at an initial surface pressure (<inline-formula id="inf77">
<mml:math id="m80">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c0;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) of 30&#xa0;mN/m. The relaxation process of monolayers was indicated by the <inline-formula id="inf78">
<mml:math id="m81">
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> curves at constant area (<xref ref-type="bibr" rid="B41">Robinson et al., 2020</xref>). The <inline-formula id="inf79">
<mml:math id="m82">
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> curves are normalized to get the <inline-formula id="inf80">
<mml:math id="m83">
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>&#x3c0;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> curves (<xref ref-type="fig" rid="F4">Figure 4</xref>). Some characteristic parameters (<xref ref-type="table" rid="T2">Table 2</xref>) of relaxation can be acquired through fitting <inline-formula id="inf81">
<mml:math id="m84">
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>&#x3c0;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> curves with the following formula (<xref ref-type="bibr" rid="B7">Chen et al., 2002</xref>; <xref ref-type="bibr" rid="B54">Wang et al., 2018</xref>):<disp-formula id="e4">
<mml:math id="m85">
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>&#x3c0;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x003D;</mml:mo>
<mml:mi>C</mml:mi>
<mml:mo>&#x002B;</mml:mo>
<mml:mi>a</mml:mi>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>/</mml:mo>
<mml:mi>&#x3c4;</mml:mi>
</mml:mrow>
</mml:msup>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>where C represents the normalized equilibrium pressure, and <inline-formula id="inf82">
<mml:math id="m86">
<mml:mrow>
<mml:mi>&#x3c4;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> indicates the lifetime associated with the reorganization of monolayers. The large <inline-formula id="inf83">
<mml:math id="m87">
<mml:mrow>
<mml:mi>&#x3c4;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> value denotes that the monolayer is disordered, and the amount of time before the conformation transition of the monolayer becomes longer (<xref ref-type="bibr" rid="B54">Wang et al., 2018</xref>).</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>
<inline-formula id="inf84">
<mml:math id="m88">
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>&#x3c0;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> curves of DPPC monolayers containing 50&#xa0;mol% cholesterol with or without AmB in the presence of Na<sup>&#x002B;</sup> ions.</p>
</caption>
<graphic xlink:href="fmolb-11-1405383-g004.tif"/>
</fig>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Values of <inline-formula id="inf85">
<mml:math id="m89">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>a</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>&#x3c4;</mml:mi>
<mml:mo>,</mml:mo>
<mml:mtext>and&#x2009;</mml:mtext>
<mml:msup>
<mml:mi>r</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> obtained by fitting <inline-formula id="inf86">
<mml:math id="m90">
<mml:mrow>
<mml:mi>&#x3c0;</mml:mi>
<mml:mo>/</mml:mo>
<mml:msub>
<mml:mi>&#x3c0;</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> curves.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Monolayer</th>
<th align="center">Concentration of Na<sup>&#x002B;</sup>/mM</th>
<th align="center">
<inline-formula id="inf87">
<mml:math id="m91">
<mml:mrow>
<mml:mi mathvariant="italic">C</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<inline-formula id="inf88">
<mml:math id="m92">
<mml:mrow>
<mml:mi mathvariant="italic">a</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<inline-formula id="inf89">
<mml:math id="m93">
<mml:mrow>
<mml:mi mathvariant="italic">&#x3c4;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<inline-formula id="inf90">
<mml:math id="m94">
<mml:mrow>
<mml:msup>
<mml:mi mathvariant="italic">r</mml:mi>
<mml:mn mathvariant="italic">2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center" rowspan="3">DPPC/Chol (1:1)</td>
<td align="center">0</td>
<td align="center">0.850</td>
<td align="center">0.130</td>
<td align="center">827.458</td>
<td align="center">0.992</td>
</tr>
<tr>
<td align="center">140</td>
<td align="center">0.864</td>
<td align="center">0.117</td>
<td align="center">867.175</td>
<td align="center">0.992</td>
</tr>
<tr>
<td align="center">280</td>
<td align="center">0.920</td>
<td align="center">0.069</td>
<td align="center">986.793</td>
<td align="center">0.990</td>
</tr>
<tr>
<td align="center" rowspan="3">DPPC/Chol/AmB (0.5:0.5:1)</td>
<td align="center">0</td>
<td align="center">0.922</td>
<td align="center">0.069</td>
<td align="center">1,014.246</td>
<td align="center">0.990</td>
</tr>
<tr>
<td align="center">140</td>
<td align="center">0.926</td>
<td align="center">0.068</td>
<td align="center">1,100.065</td>
<td align="center">0.992</td>
</tr>
<tr>
<td align="center">280</td>
<td align="center">0.753</td>
<td align="center">0.221</td>
<td align="center">1,200.474</td>
<td align="center">0.996</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>
<xref ref-type="table" rid="T2">Table 2</xref> shows that the C value of DPPC/Chol mixed monolayer increases as the concentration of sodium ions increases, suggesting the monolayer is more stable at higher concentrations of sodium ions. However, for the DPPC/Chol/AmB mixed monolayer, the C value decreases at 280&#xa0;mM Na<sup>&#x002B;</sup> ions, meaning sodium ions interfere with the stability of AmB/lipid monolayer film when sodium ions are in a high concentration. When the concentration of sodium is constant, the <inline-formula id="inf91">
<mml:math id="m95">
<mml:mrow>
<mml:mi>&#x3c4;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> value of the saturated phospholipid/AmB mixed monolayer is greater than that of the saturated phospholipid monolayer containing 50&#xa0;mol% cholesterol, indicating that the presence of AmB increases the disorder of the saturated phospholipid monolayer containing 50&#xa0;mol% cholesterol. This is consistent with the result that AmB reduces the <inline-formula id="inf92">
<mml:math id="m96">
<mml:mrow>
<mml:msubsup>
<mml:mi>C</mml:mi>
<mml:mi>s</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> value of the saturated phospholipid monolayer containing 50&#xa0;mol% cholesterol. The <inline-formula id="inf93">
<mml:math id="m97">
<mml:mrow>
<mml:mi>&#x3c4;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> value of the DPPC monolayers containing 50&#xa0;mol% cholesterol varies with the concentration of sodium ions and is not affected by AmB. The <inline-formula id="inf94">
<mml:math id="m98">
<mml:mrow>
<mml:mi>&#x3c4;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> value is larger at the higher concentration of sodium ions, indicating the disorder of the stronger ternary mixed monolayer film.</p>
</sec>
<sec id="s3-5">
<title>3.5 Morphology of mixed monolayer by SEM and AFM</title>
<p>The DPPC/Chol (1:1) monolayer and the DPPC/Chol/AmB (0.5:0.5:1) monolayer at the air&#x2013;water interface were separately transferred onto a mica sheet to form the LB films. The surface morphology of these films was obtained by SEM and AFM. In <xref ref-type="fig" rid="F5">Figure 5</xref>, without sodium ions, the bright regions of the DPPC/Chol monolayer film are flaky with clear edges. When the concentration of sodium ions is 140&#xa0;mM, the flaky edges of the bright regions are fuzzy and show subtle burrs. The monolayer film has obvious spot-like micro areas in the presence of 280&#xa0;mM Na<sup>&#x002B;</sup> ions. When AmB is present in the DPPC/Chol monolayer, the mixed film appears lamellar in the absence of Na<sup>&#x002B;</sup> ions, but unlike the DPPC/Chol film, the DPPC/Chol/AmB mixed film looks more irregular and has unclear boundaries. With 140&#xa0;mM Na<sup>&#x002B;</sup> ions, the morphology of DPPC/Chol/AmB monolayer films is similar to that in the absence of sodium ions. However, with 280&#xa0;mM Na<sup>&#x002B;</sup> ions, large sheets with clear boundaries and many small and dispersed regions are observed in the DPPC/Chol/AmB monolayer films.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>SEM images (<inline-formula id="inf95">
<mml:math id="m99">
<mml:mrow>
<mml:mn>20</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>m</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>20</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>) of the DPPC/Chol monolayer film <bold>(A&#x2013;C)</bold> and the DPPC/Chol/AmB monolayer film <bold>(a, b, c)</bold> in the presence of 0&#xa0;mM <bold>(A, a)</bold>, 140&#xa0;mM <bold>(B, b),</bold> and 280&#xa0;mM <bold>(C, c)</bold> Na<sup>&#x002B;</sup> ions at 30&#xa0;mN/m.</p>
</caption>
<graphic xlink:href="fmolb-11-1405383-g005.tif"/>
</fig>
<p>The atomic force microscopy images show the morphological details of the monolayer. From <xref ref-type="fig" rid="F6">Figure 6</xref>, the height of the bright region of the DPPC/Chol monolayer is 1.9&#xa0;nm&#x2013;2.4 nm, which is similar to the literature (<xref ref-type="bibr" rid="B52">Wang et al., 2023</xref>), and it is almost unaffected by sodium ions. In the absence of sodium ions, the bright region of the DPPC/Chol monolayer film is a large flake, which is dispersed into small strip regions in the presence of 140&#xa0;mM Na<sup>&#x002B;</sup> ions. In the presence of 280&#xa0;mM Na<sup>&#x002B;</sup> ions, irregular flake regions and numerous smaller strip regions are found on the DPPC/Chol monolayer film. The light region of the DPPC/Chol/AmB monolayer film in the absence of sodium ions is also flaky, but there are scattered dark regions on the film. In the presence of 140&#xa0;mM sodium ions, the dark regions are enlarged and connected, and the lamellar regions of the film are separated by dark divisions. In the presence of 280&#xa0;mM Na<sup>&#x002B;</sup> ions, the dark regions are larger, and small scattered regions are observed at the edge of the lamellar region. At the same time, in the absence of sodium ions, the height of the bright regions on the DPPC/Chol/AmB monolayer decreases to 1.7&#xa0;nm&#x2013;2.0&#xa0;nm due to the presence of AmB, which is consistent with the literature (<xref ref-type="bibr" rid="B8">Chou and Chang, 2000</xref>). Similar to that of the DPPC/Chol monolayer film, the height of bright regions on the DPPC/Chol/AmB monolayer is also unaffected by sodium ions. The results of AFM image analysis and SEM image analysis confirm each other. The results of the AFM and SEM image analyses show that the change of the morphology caused by AmB and sodium ions is basically consistent with the change rule of monolayer disorder mentioned in the results of elastic modulus analysis.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>AFM images of the DPPC/Chol monolayers <bold>(A&#x2013;C)</bold> and the DPPC/Chol/AmB monolayers <bold>(a, b, c)</bold> in the presence of 0&#xa0;mM <bold>(A, a)</bold>, 140&#xa0;mM <bold>(B, b),</bold> and 280&#xa0;mM <bold>(C, c)</bold> Na<sup>&#x002B;</sup> ions at 30&#xa0;mN/m.</p>
</caption>
<graphic xlink:href="fmolb-11-1405383-g006.tif"/>
</fig>
<p>The surface roughness of the mixed monolayer film is obtained from AFM images and reported in <xref ref-type="table" rid="T3">Table 3</xref>. In the absence of AmB, the roughness of DPPC/Chol monolayer film gradually increases with the increasing sodium ion concentration, which is different from its roughness in the presence of AmB. At the normal physiological concentration of sodium ions, the effect of AmB on the surface roughness of the DPPC/Chol monolayer is not significant. At the high sodium ion level, the presence of AmB significantly reduces the surface roughness of the DPPC/Chol monolayer.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Root mean square roughness (RMS-R<sub>q</sub>) and roughness average (R<sub>a</sub>) in monolayer film AFM images.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Monolayer</th>
<th align="center">Concentration of Na<sup>&#x002B;</sup>/mM</th>
<th align="center">RMS-R<sub>q</sub> (nm)</th>
<th align="center">R<sub>a</sub> (nm)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center" rowspan="3">DPPC/Chol</td>
<td align="center">0</td>
<td align="center">0.201 &#xb1; 0.002</td>
<td align="center">0.152 &#xb1; 0.008</td>
</tr>
<tr>
<td align="center">140</td>
<td align="center">0.593 &#xb1; 0.009</td>
<td align="center">0.412 &#xb1; 0.011</td>
</tr>
<tr>
<td align="center">280</td>
<td align="center">0.715 &#xb1; 0.010</td>
<td align="center">0.524 &#xb1; 0.010</td>
</tr>
<tr>
<td align="center" rowspan="3">DPPC/Chol/AmB</td>
<td align="center">0</td>
<td align="center">0.256 &#xb1; 0.006</td>
<td align="center">0.185 &#xb1; 0.007</td>
</tr>
<tr>
<td align="center">140</td>
<td align="center">0.593 &#xb1; 0.008</td>
<td align="center">0.425 &#xb1; 0.010</td>
</tr>
<tr>
<td align="center">280</td>
<td align="center">0.296 &#xb1; 0.010</td>
<td align="center">0.211 &#xb1; 0.010</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Amphotericin B binds to cholesterol molecules on cholesterol-rich phospholipid membranes (<xref ref-type="fig" rid="F7">Figure 7</xref>), which may be mainly in three forms. 1) Amphotericin B binds to cholesterol accumulation areas; 2) After amphotericin B binds to cholesterol molecules, it is isolated from the aggregation area to form &#x201c;ion channels,&#x201d; and the long axes of amphotericin B molecules are perpendicular to the interface; 3) After amphotericin B binds to cholesterol molecules, the long axis is parallel to the interface, and the cholesterol is isolated from the phospholipid membrane like a &#x201c;sponge.&#x201d; The isolation effect of AmB on cholesterol is consistent with the &#x201c;ion channels&#x201d; model and &#x201c;sponge&#x201d; model theory (<xref ref-type="bibr" rid="B9">Cohen, 2010</xref>; <xref ref-type="bibr" rid="B22">Kami&#x144;ski, 2014</xref>). AmB can weaken the intermolecular force of the phospholipid membrane and increase the disorder of monolayer, and sodium ions can make this effect more intense, which is closely related to the isolation of cholesterol by AmB. The presence of sodium ions in the ambient solution inhibits the accumulation of cholesterol in the DPPC/Chol monolayer. When amphotericin B interacts with a cholesterol-rich phospholipid membrane, a high concentration of sodium ions may promote the sequestration effect of AmB on cholesterol.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Molecular mechanism diagram for the impact of sodium ions on the interaction of AmB with a cholesterol-rich phospholipid membrane.</p>
</caption>
<graphic xlink:href="fmolb-11-1405383-g007.tif"/>
</fig>
</sec>
</sec>
<sec id="s4" sec-type="conclusion">
<title>4 Conclusion</title>
<p>To conclude, the association between AmB and a cholesterol-rich phospholipid membrane was studied using the Langmuir monolayer method, scanning electron microscopy, and atomic force microscopy. According to thermodynamic analysis, at 30 mN/m the elastic modulus of the DPPC/Chol monolayer decreases due to sodium ions, and the greater the concentration of sodium ions, the greater the influence. Compared with the level of sodium ions at normal physiological concentration, the effect of AmB on reducing the elastic modulus of the DPPC/Chol monolayer is significantly weakened by high sodium ion levels. The high concentration of sodium ions weakens the intermolecular force of DPPC/Chol monolayers. When AmB is present, a low concentration of sodium ions could also significantly weaken the intermolecular attraction of the mixed monolayers. The relaxation results show that AmB tends to increase the disorder of the monolayer, and the effect is stronger with the increasing sodium ion concentration. The results of the SEM and AFM observations are in agreement with those of elastic modulus and relaxation analysis. Although the Langmuir monolayer model used in this experiment is different from the actual cell membrane in terms of membrane curvature, the composition and proportions of the monolayer can be accurately controlled. From the perspective of quantitative simulation of phospholipid membrane, the Langmuir monolayer model is well used to study the correlation between the cholesterol-rich membrane and drugs in the actual cell membrane. When the monolayer is compressed to 30&#xa0;mN/m, the pressure, area per molecule, and phase transition of the monolayer are close to the natural bilayer membrane. AmB can form a complex with cholesterol (<xref ref-type="bibr" rid="B22">Kami&#x144;ski, 2014</xref>), which changes the permeability of the cell membrane and ion channels formed in the phospholipid membrane. Important elements could escape from the cell, ultimately leading to cell death and causing hemolytic effects on red blood cells. The abnormal increase in the sodium ion concentration enhances the destruction of membrane stability by AmB, which may enhance the hemolysis effects of AmB drugs. The results of this study have some theoretical reference value for evaluating the potential toxicity of AmB in severely ill patients with fungal infections complicated with hypernatremia.</p>
</sec>
</body>
<back>
<sec id="s5" sec-type="data-availability">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/Supplementary Material; further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s6">
<title>Author contributions</title>
<p>JW: methodology, writing&#x2013;original draft, and writing&#x2013;review and editing. JQ: data curation and writing&#x2013;original draft. JL: data curation and writing&#x2013;original draft. DW: data curation and writing&#x2013;original draft.</p>
</sec>
<sec id="s7" sec-type="funding-information">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research, authorship, and/or publication of this article. The current work was funded by the Shaanxi Association for Science and Technology Youth Talent Support Program (No: 20230520, JW) and the Natural Science Foundation of Shaanxi Province (No: 2021JQ-865, JW).</p>
</sec>
<sec id="s8" sec-type="COI-statement">
<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 id="s9" sec-type="disclaimer">
<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>
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