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Thermal Stability of Phase-Separated Domains in Multicomponent Lipid Membranes with Local Anesthetics

The functional mechanisms of local anesthetics (LAs) have not yet been fully explained, despite their importance in modern medicine. Recently, an indirect interaction between channel proteins and LAs was proposed as follows: LAs alter the physical properties of lipid membranes, thus affecting the channel proteins. To examine this hypothesis, we investigated changes in thermal stability in lipid membranes consisting of dioleoylphosphocholine, dipalmitoylphosphocholine, and cholesterol by adding the LAs, lidocaine and tetracaine. The miscibility temperature of liquid-ordered (Lo) and liquid-disordered (Ld) phase separation was lowered, whereas that of phase separation between solid-ordered (So) and Ld phases was unchanged by LAs. Furthermore, we measured the line tension at the Lo/Ld interface from domain boundary fluctuation and found that it was significantly decreased by LAs. Finally, differential scanning calorimetry (DSC) revealed a change in the lipid main transition temperature on the addition of LAs. Based on the DSC measurements, we considered that LAs are partitioned into two coexisting phases.


Introduction
Local anesthetics (LAs) are essential drugs, especially in modern surgical medicine, and are frequently used to suppress pain. The mechanism behind the suppression of pain signals by LAs is believed to result from the deactivation of sodium ion channel proteins and the inhibition of the action potentials of neural cell membranes [1][2][3]. Molecular simulations have partly explained the inhibition of ion channels as direct interactions between LAs and the binding sites on the proteins [4,5]. These studies have demonstrated the closure behavior of cation-gate structures that accompanies conformational change. However, the direct interaction hypothesis does not adequately explain the deactivation of ion channels by LAs.
Recent studies have suggested indirect interactions between the channels and LAs [6,7]. Since most LA molecules have large hydrophobic parts in their structures, LAs may interact with the hydrophobic region and alter the physical properties of the biomembranes. As a result, the channel proteins in biomembranes would be indirectly influenced by LAs through changes in the physical properties of the membranes. Some groups have focused on the hydrophobicity of LAs [8] and examined the interactions between phospholipid membranes and LAs using nuclear magnetic resonance (NMR) [9,10]. In addition, it has been reported that the structures of membrane proteins are influenced by the bending rigidity of lipid membranes [11]. Some studies have found that the membrane tension mediated by a mechanical stimulus affects the function of ion channels [12]. As shown in these cases, modulation of the function of membrane proteins via changes in the

Microscopic Observation of Phase-Separated Structure on Liposomes
Liposomes for microscopic observation were prepared by the natural swelling method. Lipids (DOPC, DPPC, Chol), LAs (lidocaine, tetracaine), and the fluorescent probe (Rhod-DHPE) were dissolved in chloroform, at concentrations of 2, 0.5 and 0.1 mM, respectively. The stock solutions were transferred into glass test tubes and mixed to the desired compositions. The organic solvent was evaporated under a flow of nitrogen gas, and the lipids were further dried under vacuum for least 3 h to form thin lipid films. The films were then hydrated overnight with Milli-Q water at 55 °C to produce unilamellar liposomes. The final concentrations of lipids and LAs were 0.2 mM, and that of Rhod-DHPE was 1 μM.
To observe the effects of LAs on phase separation by fluorescent microscopy, we added LAs to DOPC/DPPC lipid mixtures with a DOPC:DPPC ratio of 1:1, and to the DOPC/DPPC/Chol lipid mixtures with a DOPC:DPPC:Chol ratio of 2 We counted 30 liposomes in each composition at each temperature, and plotted the fraction of phase-separated liposomes. Based on the experimental plots, we calculated the miscibility

Microscopic Observation of Phase-Separated Structure on Liposomes
Liposomes for microscopic observation were prepared by the natural swelling method. Lipids (DOPC, DPPC, Chol), LAs (lidocaine, tetracaine), and the fluorescent probe (Rhod-DHPE) were dissolved in chloroform, at concentrations of 2, 0.5 and 0.1 mM, respectively. The stock solutions were transferred into glass test tubes and mixed to the desired compositions. The organic solvent was evaporated under a flow of nitrogen gas, and the lipids were further dried under vacuum for least 3 h to form thin lipid films. The films were then hydrated overnight with Milli-Q water at 55 • C to produce unilamellar liposomes. The final concentrations of lipids and LAs were 0.2 mM, and that of Rhod-DHPE was 1 µM.
To observe the effects of LAs on phase separation by fluorescent microscopy, we added LAs to DOPC/DPPC lipid mixtures with a DOPC:DPPC ratio of 1:1, and to the DOPC/DPPC/Chol lipid mixtures with a DOPC:DPPC:Chol ratio of 2 We counted 30 liposomes in each composition at each temperature, and plotted the fraction of phase-separated liposomes. Based on the experimental plots, we calculated the miscibility temperature (T mix ) for the multicomponent lipid membranes. The miscibility temperature is defined as the temperature at which the fraction of phase-separated liposome reaches 50%. To obtain the miscibility temperature, the experimental results were fit with the sigmoidal Boltzmann function: where P is the fraction of phase-separated liposomes, T is the temperature, T mix is the miscibility temperature, and dt is the slope of the sigmoidal curve.

Line Tension Measurement by Flicker Spectroscopy of Domain Boundary Fluctuation
We obtained the line tension from the domain boundary fluctuation of a liquid domain [29,30]. Domains were imaged for 1 s at 30 frames/s. Traces of the domain boundary were obtained from binarized images using ImageJ (Ver. 1.49, National Institutes of Health, Bethesda, MD, USA). The radius from the center of mass of domain r as a function of the polar angle ψ was represented in terms of a Fourier series expansion: where r av is the average domain radius, k is the mode number, and a k , b k are the Fourier coefficients. The excess free energy arises due to the fluctuation and is expressed as: where γ is the line tension. The free energy for each independent mode becomes k B T from the generalized equipartition theorem, where k B is the Boltzmann constant. Therefore, we obtained the equation: where brackets < . . . > mean the average value of 30 images. The experimental data was fit with Equation (4) and we obtained the line tension γ. We measured the line tension of five to 10 domains for each condition.

DSC Measurements
DPPC, Chol, and the LAs were dissolved in chloroform, at concentrations of 300, 150 and 150 mM, respectively, and were subsequently stored at −20 • C. The solutions were transferred into test tubes, and the desired composition was mixed to give a total volume of 60 µL. The mixed solutions were dried under a gentle stream of nitrogen gas, and formed into lipid films. To evaporate all of the remaining solvent, samples were dried under vacuum for at least 3 h. Lipid films were hydrated with Milli-Q water (60 µL), and sonicated for 1 h at least once at 50-60 • C to allow them to be peeled from the bottom of the test tube. Thermographs were obtained by a DSC-822e (Mettler Toledo International Inc., Greifensee, Switzerland). A total of 12-15 µL of liposomal solutions were placed into aluminum sample pans after stirring by a vortex mixer for over 30 s. We used sample pans filled with Milli-Q water as reference cells. The weight of the water was identical in both the reference and sample cells. Heating/cooling cycles were performed three times between 20 and 60 • C, and the third heating process is shown as a representative thermograph. Heating and cooling rates were set at 5 • C/min. Each heating/cooling scan was started after a 3-5 min pre-scan incubation at 20/60 • C. All raw data were normalized by the weights of the samples. The same measurements were performed at least three times to ensure reproducibility of the data.
We found some asymmetrical peaks at several compositions and they could be described as a linear combination of two independent transitions. An asymmetrical peak is expressed as a linear combination between two Lorentzian functions, as shown in Figure 2. We found some asymmetrical peaks at several compositions and they could be described as a linear combination of two independent transitions. An asymmetrical peak is expressed as a linear combination between two Lorentzian functions, as shown in Figure 2.

Miscibility Temperature Measurement in LA-Containing Lipid Membranes
We observed the effects of LAs on the thermostability of phase-separated structures in multicomponent lipid membranes. First, we investigated the lipid mixtures consisting of DOPC/DPPC/LAs without Chol. In this experiment, we fixed the ratio of DOPC/DPPC to 1:1 and set the LA concentrations to 0%, 10%, and 20%. At lower temperatures, coexistence between the DOPCrich Ld phase and DPPC-rich So phase was observed, as shown in Figure 3a. Rhod-DHPE is localized in the Ld phase; the bright and dark regions correspond to the Ld and So phases, respectively. The anisotropic shape domains can be regarded as So domains. To examine the thermostability of phaseseparated domains, we measured the fraction of phase-separated liposomes as the temperature increased. The results following the addition of lidocaine or tetracaine are shown in Figure 3b,c, respectively. In all cases, the fractions of the phase-separated liposomes decreased as the temperature increased. This is because the mixing entropy becomes predominant at higher temperatures. The temperature at which the fraction of phase-separated liposomes reaches 50% is the miscibility temperature (Tmix). To identify the miscibility temperature of each lipid mixture, we fit the experimental data with Equation (1). The obtained miscibility temperatures were Tmix = 33.1 °C (control), 32.9 °C (lidocaine 10%), 32.1 °C (lidocaine 20%), 32.7 °C (tetracaine 10%), and 31.8 °C (tetracaine 20%). We did not observe any significant changes in the miscibility temperatures after adding LAs. Therefore, So/Ld phase separation was not significantly affected by the LAs.

Miscibility Temperature Measurement in LA-Containing Lipid Membranes
We observed the effects of LAs on the thermostability of phase-separated structures in multicomponent lipid membranes. First, we investigated the lipid mixtures consisting of DOPC/DPPC/LAs without Chol. In this experiment, we fixed the ratio of DOPC/DPPC to 1:1 and set the LA concentrations to 0%, 10%, and 20%. At lower temperatures, coexistence between the DOPC-rich L d phase and DPPC-rich S o phase was observed, as shown in Figure 3a. Rhod-DHPE is localized in the L d phase; the bright and dark regions correspond to the L d and S o phases, respectively. The anisotropic shape domains can be regarded as S o domains. To examine the thermostability of phase-separated domains, we measured the fraction of phase-separated liposomes as the temperature increased. The results following the addition of lidocaine or tetracaine are shown in Figure 3b,c, respectively. In all cases, the fractions of the phase-separated liposomes decreased as the temperature increased. This is because the mixing entropy becomes predominant at higher temperatures. The temperature at which the fraction of phase-separated liposomes reaches 50% is the miscibility temperature (T mix ). To identify the miscibility temperature of each lipid mixture, we fit the experimental data with Equation (1). The obtained miscibility temperatures were T mix = 33.1 • C (control), 32.9 • C (lidocaine 10%), 32.1 • C (lidocaine 20%), 32.7 • C (tetracaine 10%), and 31.8 • C (tetracaine 20%). We did not observe any significant changes in the miscibility temperatures after adding LAs. Therefore, S o /L d phase separation was not significantly affected by the LAs. Next, DOPC/DPPC/Chol/LAs lipid mixtures were investigated to gain an understanding of the effects of Chol and LAs on phase separation. We fixed the DOPC/DPPC/Chol ratio to 2:2:1 and set the LA concentrations to 0%, 10%, and 20%. In the presence of Chol, the So phase transforms into the Lo phase [17]. Therefore, Lo/Ld phase separation is observed in most of the liposomes at lower temperatures, as shown in Figure 3d. Here, the bright and dark regions correspond to the Ld and Lo phases, respectively. The miscibility temperatures were Tmix = 27.7 °C (control), 26.6 °C (lidocaine 10%), 23.0 °C (lidocaine 20%), 23.2 °C (tetracaine 10%), and 21.6 °C (tetracaine 20%). Although we did not find any significant changes in the miscibility temperatures in DOPC/DPPC/LA systems without Chol, they clearly decreased as the LA concentrations increased in lipid mixtures with Chol. The reduction in miscibility temperature with tetracaine was greater than that with lidocaine.

Line Tension Measurement at the Liquid Domain Boundary in LA-Containing Lipid Membranes
Line tension at the domain boundary is one of the most important factors affecting the stability of phase-separated domains. Generally, the line tension at the Lo domain boundary is about ~3 pN [31,32]. Here, we obtained the line tension at the Lo domain boundary in LA-containing lipid membranes by the flicker spectroscopy of domain boundary fluctuations. We analyzed several images in which an isolated domain was present at the center of the liposome surface. Because this analysis calculates displacement from the circular shape, we ignored the non-circular domain shown in Figure 3a. The domain boundary fluctuation was imaged for 1 s at 30 frames/s (Figure 4a) and the trace of the domain boundary was obtained by ImageJ (Figure 4b). The radial fluctuation is plotted in Figure 4c and the power spectrum calculated from the radial fluctuation is shown in Figure 4d. The average Fourier coefficients obtained from 30 images are plotted in Figure 4e, and the line tension was calculated from the slope of the plot by Equation (4). Next, DOPC/DPPC/Chol/LAs lipid mixtures were investigated to gain an understanding of the effects of Chol and LAs on phase separation. We fixed the DOPC/DPPC/Chol ratio to 2:2:1 and set the LA concentrations to 0%, 10%, and 20%. In the presence of Chol, the S o phase transforms into the L o phase [17]. Therefore, L o /L d phase separation is observed in most of the liposomes at lower temperatures, as shown in Figure 3d. Here, the bright and dark regions correspond to the L d and L o phases, respectively. The miscibility temperatures were T mix = 27.7 • C (control), 26.6 • C (lidocaine 10%), 23.0 • C (lidocaine 20%), 23.2 • C (tetracaine 10%), and 21.6 • C (tetracaine 20%). Although we did not find any significant changes in the miscibility temperatures in DOPC/DPPC/LA systems without Chol, they clearly decreased as the LA concentrations increased in lipid mixtures with Chol. The reduction in miscibility temperature with tetracaine was greater than that with lidocaine.

Line Tension Measurement at the Liquid Domain Boundary in LA-Containing Lipid Membranes
Line tension at the domain boundary is one of the most important factors affecting the stability of phase-separated domains. Generally, the line tension at the L o domain boundary is about~3 pN [31,32]. Here, we obtained the line tension at the L o domain boundary in LA-containing lipid membranes by the flicker spectroscopy of domain boundary fluctuations. We analyzed several images in which an isolated domain was present at the center of the liposome surface. Because this analysis calculates displacement from the circular shape, we ignored the non-circular domain shown in Figure 3a. The domain boundary fluctuation was imaged for 1 s at 30 frames/s (Figure 4a) and the trace of the domain boundary was obtained by ImageJ (Figure 4b). The radial fluctuation is plotted in Figure 4c and the power spectrum calculated from the radial fluctuation is shown in Figure 4d. The average Fourier coefficients obtained from 30 images are plotted in Figure 4e, and the line tension was calculated from the slope of the plot by Equation (4). The line tension values are summarized in Figure 5. Without LAs, the line tension was about 3 pN at room temperature (20-22 °C), and this value is in good agreement with that reported in previous studies [31,32]. As the temperature increases, the line tension decreases just before reaching the miscibility temperature. When the temperature approaches the miscibility temperature, the composition difference between the coexisting two phases generally becomes smaller. Therefore, the line tension is reduced because the differences in physical properties between the two phases (spontaneous curvature, membrane thickness, and chain ordering) become smaller. We saw the same tendency in our systems containing LAs. Specifically, the line tension in the system containing LAs was lower than that in the system without LAs. Moreover, it decreased in an LA-concentration manner. The reduction in line tension of the tetracaine-containing membranes was larger than that of lidocaine-containing membranes. This tendency was largely consistent with the results obtained in our miscibility temperature measurements, and clearly shows that LAs strongly decrease the line tension at the Lo/Ld domain boundary. The previous study also indicated that the line tension in a DOPC/DPPC/Chol mixture is quantitatively decreased by the addition of dibucaine, which is one of the LAs [33]. We explain why LAs reduce the line tension in the Discussion.  The line tension values are summarized in Figure 5. Without LAs, the line tension was about 3 pN at room temperature (20-22 • C), and this value is in good agreement with that reported in previous studies [31,32]. As the temperature increases, the line tension decreases just before reaching the miscibility temperature. When the temperature approaches the miscibility temperature, the composition difference between the coexisting two phases generally becomes smaller. Therefore, the line tension is reduced because the differences in physical properties between the two phases (spontaneous curvature, membrane thickness, and chain ordering) become smaller. We saw the same tendency in our systems containing LAs. Specifically, the line tension in the system containing LAs was lower than that in the system without LAs. Moreover, it decreased in an LA-concentration manner. The reduction in line tension of the tetracaine-containing membranes was larger than that of lidocaine-containing membranes. This tendency was largely consistent with the results obtained in our miscibility temperature measurements, and clearly shows that LAs strongly decrease the line tension at the L o /L d domain boundary. The previous study also indicated that the line tension in a DOPC/DPPC/Chol mixture is quantitatively decreased by the addition of dibucaine, which is one of the LAs [33]. We explain why LAs reduce the line tension in the Discussion.  The line tension values are summarized in Figure 5. Without LAs, the line tension was about 3 pN at room temperature (20-22 °C), and this value is in good agreement with that reported in previous studies [31,32]. As the temperature increases, the line tension decreases just before reaching the miscibility temperature. When the temperature approaches the miscibility temperature, the composition difference between the coexisting two phases generally becomes smaller. Therefore, the line tension is reduced because the differences in physical properties between the two phases (spontaneous curvature, membrane thickness, and chain ordering) become smaller. We saw the same tendency in our systems containing LAs. Specifically, the line tension in the system containing LAs was lower than that in the system without LAs. Moreover, it decreased in an LA-concentration manner. The reduction in line tension of the tetracaine-containing membranes was larger than that of lidocaine-containing membranes. This tendency was largely consistent with the results obtained in our miscibility temperature measurements, and clearly shows that LAs strongly decrease the line tension at the Lo/Ld domain boundary. The previous study also indicated that the line tension in a DOPC/DPPC/Chol mixture is quantitatively decreased by the addition of dibucaine, which is one of the LAs [33]. We explain why LAs reduce the line tension in the Discussion.

DSC Measurement in LA-Containing Lipid Membranes
Next, we discuss the effects of LAs on the thermostability of lipid membranes based on DSC. The representative thermographs for DPPC/LA mixtures are shown in Figure 6. Sharp peaks can be seen at 42 °C that correspond to the main transition of the lipids between solid (ripple) phase and liquid phase, and the broad peak at 37 °C corresponds to the pretransition state between the solid and ripple phases in the DPPC single component system without LAs, shown as black lines in Figure  6a,b. This thermograph is consistent with some previous reports [17,21,22]. Since the pretransition peak disappears as the LA concentration increases, we focused on the main transition peak. When both lidocaine and tetracaine were present, the main transition peak shifted toward a lower temperature as the LA concentration increased. Interestingly, the shape of the peak became asymmetrical at a lidocaine concentration of 7.5% and tetracaine concentration of 5%. We presumed that the asymmetrical peak could be described as a linear combination of two independent transitions. The results of peak deconvolution are shown in Figure 6c-f. We expressed an asymmetrical peak as a linear combination between two Lorentzian functions. Figure 5c,d show stronger peaks at higher temperatures, corresponding to the transitions of the DPPC-rich phase. On the other hand, the weaker peaks at lower temperatures, shown in Figure 6e,f, correspond to the transition of the LA-rich phase. Therefore, as the concentration of the LA increased, some molecules could not dissolve in the DPPC membranes, which led to the formation of an LA-rich phase. This result implies a low affinity between DPPC and LAs. Moreover, compared with lidocaine, tetracaine seemed to show a lower affinity to DPPC.

DSC Measurement in LA-Containing Lipid Membranes
Next, we discuss the effects of LAs on the thermostability of lipid membranes based on DSC. The representative thermographs for DPPC/LA mixtures are shown in Figure 6. Sharp peaks can be seen at 42 • C that correspond to the main transition of the lipids between solid (ripple) phase and liquid phase, and the broad peak at 37 • C corresponds to the pretransition state between the solid and ripple phases in the DPPC single component system without LAs, shown as black lines in Figure 6a,b. This thermograph is consistent with some previous reports [17,21,22]. Since the pretransition peak disappears as the LA concentration increases, we focused on the main transition peak. When both lidocaine and tetracaine were present, the main transition peak shifted toward a lower temperature as the LA concentration increased. Interestingly, the shape of the peak became asymmetrical at a lidocaine concentration of 7.5% and tetracaine concentration of 5%. We presumed that the asymmetrical peak could be described as a linear combination of two independent transitions. The results of peak deconvolution are shown in Figure 6c-f. We expressed an asymmetrical peak as a linear combination between two Lorentzian functions. Figure 5c,d show stronger peaks at higher temperatures, corresponding to the transitions of the DPPC-rich phase. On the other hand, the weaker peaks at lower temperatures, shown in Figure 6e,f, correspond to the transition of the LA-rich phase. Therefore, as the concentration of the LA increased, some molecules could not dissolve in the DPPC membranes, which led to the formation of an LA-rich phase. This result implies a low affinity between DPPC and LAs. Moreover, compared with lidocaine, tetracaine seemed to show a lower affinity to DPPC. (e,f) Weaker peaks obtained from peak deconvolution in DPPC/lidocaine and DPPC/tetracaine membranes, respectively. Since the peak shape is almost symmetrical for lidocaine below 5 mol % and tetracaine below 2.5 mol %, we did not perform peak deconvolution in (c-f).
We also performed DSC measurements for the mixtures of DPPC/Chol/LAs. The thermograph of the DPPC/Chol binary mixture without an LA is denoted by a black line in Figure 7a,b. A clear peak can be seen around 41.5 °C . It has been reported that phase separation between the So and Lo phases occurs at a DPPC/Chol ratio of 90:10 [34]. As per the DPPC/LA mixtures, we performed peak deconvolution based on a two-state transition; the strong and weak components are shown in Figure  7c-f, respectively. These strong and weak peaks correspond to the DPPC-rich So and Chol-rich Lo phases, respectively [34]. In Figure 7 c,d, the stronger peaks shift toward a lower temperature as the LA concentration increases. This behavior resembles that of DPPC-rich phase in DPPC/LA binary mixtures, as indicated in Figure 6. On the other hand, the positions of the weaker peaks were not significantly changed by the addition of LAs, as shown in Figure 7e,f. In Figure 8, we summarized the temperature shifts of both the strong and weak peaks. The temperature shift of the So phase in the DPPC/LA mixtures was almost identical to that of the So phase in the DPPC/Chol/LA mixtures. Since an LA-rich phase is formed in DPPC/LA mixtures, the So phase in DPPC/LAs can be considered an LA-poor phase. Therefore, we speculate that the So phase in DPPC/Chol/LA mixtures also becomes an LA-poor phase. On the other hand, the clear LA-rich phase was not found in the DPPC/Chol/LA mixtures. In DPPC/Chol/LAs systems, we believe that large amounts of LAs are included in the Lo phase. We further discuss LA localization in heterogeneous membranes based on the DSC results in Figure 6. (a,b) Representative DSC thermographs of DPPC/lidocaine and DPPC/tetracaine membranes, respectively. Black, orange, blue, red, and green lines indicate LA at 0, 2.5, 5, 7.5, and 10 mol %, respectively; (c,d) Stronger peaks obtained from peak deconvolution in the DPPC/lidocaine and DPPC/tetracaine membranes, respectively; (e,f) Weaker peaks obtained from peak deconvolution in DPPC/lidocaine and DPPC/tetracaine membranes, respectively. Since the peak shape is almost symmetrical for lidocaine below 5 mol % and tetracaine below 2.5 mol %, we did not perform peak deconvolution in (c-f).
We also performed DSC measurements for the mixtures of DPPC/Chol/LAs. The thermograph of the DPPC/Chol binary mixture without an LA is denoted by a black line in Figure 7a,b. A clear peak can be seen around 41.5 • C. It has been reported that phase separation between the S o and L o phases occurs at a DPPC/Chol ratio of 90:10 [34]. As per the DPPC/LA mixtures, we performed peak deconvolution based on a two-state transition; the strong and weak components are shown in Figure 7c-f, respectively. These strong and weak peaks correspond to the DPPC-rich S o and Chol-rich L o phases, respectively [34]. In Figure 7c,d, the stronger peaks shift toward a lower temperature as the LA concentration increases. This behavior resembles that of DPPC-rich phase in DPPC/LA binary mixtures, as indicated in Figure 6. On the other hand, the positions of the weaker peaks were not significantly changed by the addition of LAs, as shown in Figure 7e,f. In Figure 8, we summarized the temperature shifts of both the strong and weak peaks. The temperature shift of the S o phase in the DPPC/LA mixtures was almost identical to that of the S o phase in the DPPC/Chol/LA mixtures. Since an LA-rich phase is formed in DPPC/LA mixtures, the S o phase in DPPC/LAs can be considered an LA-poor phase. Therefore, we speculate that the S o phase in DPPC/Chol/LA mixtures also becomes an LA-poor phase. On the other hand, the clear LA-rich phase was not found in the DPPC/Chol/LA mixtures. In DPPC/Chol/LAs systems, we believe that large amounts of LAs are included in the L o phase. We further discuss LA localization in heterogeneous membranes based on the DSC results in Section 4.

Discussion
Microscopic observation revealed that the miscibility temperature (Tmix) of the phase-separated structures on DOPC/DPPC membranes was not significantly changed by adding LAs (Figure 3 b,c). Furthermore, according to the results of the DSC experiment on DPPC/LA mixtures, an LA-rich phase was formed at higher concentrations of LAs (Figure 6a,b), which suggests a low affinity between DPPC and LAs. Therefore, most LA molecules can be partitioned into DOPC-rich Ld phases in DOPC/DPPC/LAs membranes. LAs did not impart any crucial effects on the DPPC-rich So phase, and the miscibility temperature in DOPC/DPPC/LA mixtures was not shifted by them.
On the other hand, as the concentrations of LAs increased, the miscibility temperatures for DOPC/DPPC/Chol/LA lipid membranes decreased and the thermostability of the Lo phase was lowered (Figure 3e,f). From the results of the DSC experiments, the shift in the peak temperature of the So phase in the DPPC/LA mixtures was almost identical to that of the So phase in the DPPC/Chol/LA mixtures (Figure 8). Therefore, we can consider that the amount of LA in both So (a,b) Representative DSC thermographs of DPPC/Chol/lidocaine and DPPC/Chol/tetracaine membranes, respectively. Black, orange, blue, red, and green lines indicate LA at 0, 2.5, 5, 7.5, and 10 mol %, respectively; (c,d) Stronger peaks obtained from peak deconvolution in DPPC/Chol/lidocaine and DPPC/Chol/tetracaine membranes, respectively; (e,f) Weaker peaks obtained from peak deconvolution in DPPC/Chol/lidocaine and DPPC/Chol/tetracaine membranes, respectively. Insets show magnifications of the peaks.
transitions to the liquid phase from the solid phase in the presence of Chol. Therefore, LA can be partitioned into the Lo phase, because Chol loosens the packing between the DPPC molecules. This hypothesis indicates that Chol indirectly promotes the partitioning of LAs into Lo phase. The second hypothesis is a direct attraction between LAs and Chol. Because LAs and Chol are hydrophobic molecules, they are buried in the hydrophobic region of lipid membranes and may directly interact with each other. This mechanism could be revealed by a future NMR study. The distribution of LAs into the Lo phase is also supported by the line tension measurements. The LAs decreased the line tension at the Lo/Ld domain boundary in DOPC/DPPC/Chol membranes ( Figure 5). Some studies have mentioned that the additive molecules adsorb onto the domain interface and reduce the line tension [35][36][37][38][39][40]. Such molecules are called "linactant" based on an analogy to a surfactant [38]. Although the line energy at the domain boundary is decreased by the adsorption of linactants, entropic loss arises instead of line energy gain. Therefore, it is difficult for a molecule to be a linactant, because it would have to possess a structure with an affinity for both coexisting phases. Since the LAs used in this study do not seem to have such structures (see Figure  1), they may not be linactants. Therefore, we think that some LAs are incorporated within the Lo phase, as mentioned above. As a result, the chain ordering of the Lo phase is disturbed by the presence of LAs. The differences in physical properties between the two coexisting phases (spontaneous curvature, membrane thickness, chain ordering) become smaller, which decreases the line tension. This mechanism was indicated by electron spin resonance [41], and Laurdan generalized the polarization measurements among different lipid mixtures [42]. On the other hand, according to our DSC experiments, the transition temperatures of lipids in the Lo phase were not significantly changed by adding LAs. A similar tendency has been reported in some other studies [24,27]. However, it is important to investigate the relationship between chain ordering and the transition temperature in future studies.
Tetracaine showed more significant effects than lidocaine on the physical properties of the lipid membranes, such as the miscibility temperature, line tension at the Lo/Ld interface, and main transition temperature. These findings are consistent with the results of a previous study, which reported that tetracaine suppresses phase separation at room temperature more strongly than

Discussion
Microscopic observation revealed that the miscibility temperature (T mix ) of the phase-separated structures on DOPC/DPPC membranes was not significantly changed by adding LAs (Figure 3b,c). Furthermore, according to the results of the DSC experiment on DPPC/LA mixtures, an LA-rich phase was formed at higher concentrations of LAs (Figure 6a,b), which suggests a low affinity between DPPC and LAs. Therefore, most LA molecules can be partitioned into DOPC-rich L d phases in DOPC/DPPC/LAs membranes. LAs did not impart any crucial effects on the DPPC-rich S o phase, and the miscibility temperature in DOPC/DPPC/LA mixtures was not shifted by them.
On the other hand, as the concentrations of LAs increased, the miscibility temperatures for DOPC/DPPC/Chol/LA lipid membranes decreased and the thermostability of the L o phase was lowered (Figure 3e,f). From the results of the DSC experiments, the shift in the peak temperature of the S o phase in the DPPC/LA mixtures was almost identical to that of the S o phase in the DPPC/Chol/LA mixtures ( Figure 8). Therefore, we can consider that the amount of LA in both S o phases was almost the same. The DSC results for the DPPC/LA mixtures indicated that the S o phase corresponded to the LA-poor phase. Based on this finding, the S o phase for DPPC/Chol/LA mixtures can be also regarded as the LA-poor phase. In addition, we could not find a clear LA-rich phase among the DPPC/Chol/LA mixtures. Therefore, a large amount of LA molecules may be included in the L o phase in these lipid mixtures. This implies that the presence of Chol promotes the partitioning of LAs. Although a large amount of LA may have been partitioned into the DOPC-rich L d phase in DOPC/DPPC/Chol/LA membranes, some was included in the L o phase. The LA molecules in the L o phase significantly decreased the thermostability. We can think of two mechanisms that explain why the presence of Chol enhances the partitioning of LAs into L o phase. First, the DPPC-rich phase transitions to the liquid phase from the solid phase in the presence of Chol. Therefore, LA can be partitioned into the L o phase, because Chol loosens the packing between the DPPC molecules. This hypothesis indicates that Chol indirectly promotes the partitioning of LAs into L o phase. The second hypothesis is a direct attraction between LAs and Chol. Because LAs and Chol are hydrophobic molecules, they are buried in the hydrophobic region of lipid membranes and may directly interact with each other. This mechanism could be revealed by a future NMR study.
The distribution of LAs into the L o phase is also supported by the line tension measurements. The LAs decreased the line tension at the L o /L d domain boundary in DOPC/DPPC/Chol membranes ( Figure 5). Some studies have mentioned that the additive molecules adsorb onto the domain interface and reduce the line tension [35][36][37][38][39][40]. Such molecules are called "linactant" based on an analogy to a surfactant [38]. Although the line energy at the domain boundary is decreased by the adsorption of linactants, entropic loss arises instead of line energy gain. Therefore, it is difficult for a molecule to be a linactant, because it would have to possess a structure with an affinity for both coexisting phases. Since the LAs used in this study do not seem to have such structures (see Figure 1), they may not be linactants. Therefore, we think that some LAs are incorporated within the L o phase, as mentioned above. As a result, the chain ordering of the L o phase is disturbed by the presence of LAs. The differences in physical properties between the two coexisting phases (spontaneous curvature, membrane thickness, chain ordering) become smaller, which decreases the line tension. This mechanism was indicated by electron spin resonance [41], and Laurdan generalized the polarization measurements among different lipid mixtures [42]. On the other hand, according to our DSC experiments, the transition temperatures of lipids in the L o phase were not significantly changed by adding LAs. A similar tendency has been reported in some other studies [24,27]. However, it is important to investigate the relationship between chain ordering and the transition temperature in future studies.
Tetracaine showed more significant effects than lidocaine on the physical properties of the lipid membranes, such as the miscibility temperature, line tension at the L o /L d interface, and main transition temperature. These findings are consistent with the results of a previous study, which reported that tetracaine suppresses phase separation at room temperature more strongly than lidocaine [25]. Moreover, Paiva et al. showed that tetracaine has a stronger effect than lidocaine on the transition temperature of raft-mimetic membranes [23]. Generally, tetracaine is a more powerful and toxic LA than lidocaine [43]. In other words, tetracaine shows anesthetic and cytotoxic effects at lower concentrations than lidocaine. Thus, from these results, the potencies of the LAs and suppression of phase separation may be associated. Furthermore, n-alcohol general anesthetics are reported to correlate with pharmacological strength and membrane phase behavior [28]. As the length of the hydrocarbon tail of alcohol becomes longer, the lipid transition temperature decreases and the strength of the anesthesia becomes stronger. Therefore, increased hydrophobicity leads to increased anesthetic action. Moreover, an LA oil/water partitioning experiment showed that the action of the anesthetic and the molecular hydrophobicity are correlated [44]. On the other hand, we suggested the importance of the affinity between the L o phase and LAs. Thus, the relationship between the molecular hydrophobicity of LAs and anesthetic action based on the stability of the L o phase on the addition of LAs should be evaluated in future studies by an NMR investigation of the interactions between LAs and the L o phase.
Since a large part of LA is hydrophobic, we discussed the phase behavior based on the hydrophobic interaction between lipid membranes and LAs. LAs are medically used as chloride salts to increase the water solubility. Although LAs were directly included in lipid membranes in our study, LAs were added to lipid membranes by dissolving them in water phase in some studies [33]. However, because the experimental results about the main transition temperature shift and phase behavior are almost consistent with our study, the behavior of charged LAs is similar to that of uncharged LAs. Therefore, we believe that the hydrophobic interaction between LAs and lipid membranes is the most important factor. Moreover, in actual living cells, the electric charges on LAs are well screened by many kinds of cations in the vicinity of cell membranes, and the effect of electric charges on LAs may be negligible. On the other hand, some studies mentioned the importance of electric charges on the phase separation in multicomponent lipid membranes [45]. The studies on the hydrogen bonding between LAs and phospholipids, and the effect of LAs on the hydration water near the surface of an LA-containing lipid membrane, as well as the electric charge of LAs, will be important in the near future.
We showed that the raft-mimicking structure (L o phase) is destabilized by adding LAs. If raft domains are also destabilized by LAs in the cell membranes, the sodium ion channel proteins present may be strongly affected. Voltage-dependent sodium channels form gate structures that allow the selective permeation of specific cations by subunits in the structure-forming multimers [46]. The gate structure is controlled by miniscule structural changes in the proteins of well organized subunits. If the raft structure is altered by LAs, the order, structure, and movement of the subunits forming the gate structure may be impaired. In fact, Brohawn et al. found that the function of ion channels placed in membranes isolated from cells can be controlled by the external pressure achieved by poking the membranes with a glass capillary [12]. The application of external pressure to membranes is known to change the phase behavior [47] and impact the anesthetic dose. Therefore, the membrane proteins in raft domains are influenced by changes in the physical properties of the membranes, such as rigidity, thickness, fluidity, and phase. Future studies should investigate the mechanisms controlling channel activities via changes in the phase state of the membranes.

Conclusions
In this study, we demonstrated the changes mediated by the thermal behavior of phase-separated structures in the presence of LAs.
LAs lowered the miscibility temperature (T mix ) in DOPC/DPPC/Chol/LA mixtures, whereas the miscibility temperature of DOPC/DPPC/LA mixtures without Chol did not change significantly. Moreover, we also showed that the line tension at the L o /L d domain boundary was reduced by LAs. DSC measurements revealed that LAs could be partitioned into the L o phase with the help of Chol. Subsequently, the miscibility temperature and the line tension are decreased significantly.
Voltage-dependent sodium ion channels, which could be deactivated by LAs, are known to exist on lipid rafts in the cellular membrane. Our results suggest that LAs destabilized raft-mimetic structures composed of saturated phospholipids and Chol. The change in phase behavior could influence the gating or binding abilities of membrane proteins, such as ion channels. Based on our results, the relationship between ion channel activity and the stability of raft domains should be further investigated.