Apolar Polyisoprenoids Located in the Midplane of the Bilayer Regulate the Response of an Archaeal-Like Membrane to High Temperature and Pressure

Archaea are known to inhabit some of the most extreme environments on Earth. The ability of archaea possessing membrane bilayers to adapt to high temperature (>85°C) and high pressure (>1,000 bar) environments is proposed to be due to the presence of apolar polyisoprenoids at the midplane of the bilayer. In this work, we study the response of this novel membrane architecture to both high temperature and high hydrostatic pressure using neutron diffraction. A mixture of two diether, phytanyl chain lipids (DoPhPC and DoPhPE) and squalane was used to model this novel architecture. Diffraction data indicate that at high temperatures a stable coexistence of fluid lamellar phases exists within the membrane and that stable coexistence of these phases is also possible at high pressure. Increasing the amount of squalane in the membrane regulates the phase separation with respect to both temperature and pressure, and also leads to an increase in the lamellar repeat spacing. The ability of squalane to regulate the ultrastructure of an archaea-like membrane at high pressure and temperature supports the hypothesis that archaea can use apolar lipids as an adaptive mechanism to extreme conditions.


INTRODUCTION
According to the Singer-Nicolson model, cell membranes are composed of a "mosaic" of proteins embedded in a fluid, lipid bilayer (Singer and Nicolson, 1972). Our understanding of cell membranes has developed further since then, for example we now recognize the importance of other lipid phases in addition to the fluid lamellar phase (bilayer phase), and that there can be substantial lateral heterogeneity within the membrane (Goñi, 2014). Membrane structural lipids, typically phospholipids, are diverse and display varied properties owing to the differences in both the lipid polar head groups and the hydrophobic tails. In aqueous solution, these lipids, driven by the hydrophobic effect, self-assemble into structures in which the hydrophilic heads can interact with the solution and the hydrophobic tails are excluded. The most biologically common phases, seen in familiar lipid bilayer structures, are lamellar phases in which the lipids assemble into flat sheets (zero membrane curvature) (Cullis et al., 1991;Perutková et al., 2009;Frolov et al., 2011;Goñi, 2014). However, the ability of membrane to form phases with non-zero curvature, such as cubic or inverted hexagonal phases, is also important and plays a role in many cellular processes such as membrane fission and fusion (Jouhet, 2013;McMahon and Boucrot, 2015;Jarsch et al., 2016). Membrane lipids can prefer different membrane curvatures based on their shape, and this preferred curvature can vary with environmental conditions such as pressure and temperature. The presence of diverse lipids within a membrane can even promote phase separation and domain formation within the membrane (Jouhet, 2013). Domains are laterally organized membrane regions with distinct lipid compositions and specialized functions such as interacting with specific proteins, or adopting a specific curvature (Tayebi et al., 2012;Arumugam and Bassereau, 2015;Marquardt et al., 2015). Such lateral membrane domains have been well-characterized in eukaryotic and bacterial cells (Baumgart et al., 2003;Heberle and Feigenson, 2011;Heberle et al., 2013;McCarthy et al., 2015;Schmid, 2017).
Life has been found at some of the most extreme conditions on Earth such as temperatures above 100 • C and pressures up to 120 MPa (Yayanos et al., 1981;Takai et al., 2008;Zeng et al., 2009;Dalmasso et al., 2016;Siliakus et al., 2017). All aspects of these organisms must be specially adapted to tolerate such conditions. Cell membranes, in particular, are highly sensitive to pressure and temperature (Winter and Jeworrek, 2009;Oger and Jebbar, 2010;Brooks and Seddon, 2014). In order to maintain functionality of the membrane under extreme conditions cells adjust the composition of their membranes to cope with environmental changes, in a process known as homeoviscous adaptation (Sinensky, 1974). High temperature tends to increase membrane fluidity, permeability, and promote more negative membrane curvature whereas increasing pressure tends to have the opposite effects (Brooks, 2014). To compensate, bacteria and eukaryotes are known to regulate the length, saturation, and branching of the hydrophobic chains as well as the proportion of different polar headgroups (Jebbar et al., 2015;Siliakus et al., 2017). In archaea the mechanisms of adaptation are less well-understood, in part due to their unique membrane lipids. Archaeal lipids have methyl-branched phytanyl chains rather than straight chain fatty acids which are linked via ether rather than ester bonds to the glycerol backbone (De Rosa et al., 1986;Gambacorta et al., 1995). These lipids have higher temperature stability, and lowered proton permeability (Gliozzi et al., 1983;Yamauchi et al., 1993) compared with typical bacterial/eukaryotic lipids.
In addition to bilayer forming lipids, archaea are known to produce bipolar, tetra-ether lipids capable of forming lipid monolayers with high stability and low permeability (De Rosa et al., 1983;Elferink et al., 1994). Archaea have been shown to increase the quantity of tetra-ether lipids in the membrane in response to temperature (Matsuno et al., 2009;Cario et al., 2015). Even some bacteria have shown to produce membrane spanning tetraether or tetraester lipids in response to hightemperature conditions (Damsté et al., 2007;Schouten et al., 2007;Siliakus et al., 2017). Despite the link to high temperature adaption, tetra-ether lipids are not found solely in thermophiles but have also been observed in mesophilic archaea. In addition, not all organisms living at high temperatures produce large quantities, if any tetra-ether lipids (Tornabene and Langworthy, 1979;Hafenbradl et al., 1996;Sako et al., 1996;Sprott et al., 1997;Siliakus et al., 2017). Some insight into the ability of archaea with bilayer forming lipids to live at temperatures up to 100 • C can be found in the study by Cario et al. (2015) on the piezo-hyperthermophilic archaeon, Thermococcus barophilus. The quantity and saturation of isoprenoid derivatives (such as lycopane, squalane) were shown to vary in response to temperature and pressure. In order to explain the ability of T. barophilus to live at high temperature in presence of bilayer forming lipids, it was hypothesized that apolar lipids sit at the midplane of the bilayer and provide enhanced stability (Cario et al., 2015). The ability of apolar lipids such as squalane to localize to the midplane of the lipid bilayer has been confirmed in model membranes of both bacteriallike and archaea-like lipids (Hauß et al., 2002;Salvador-Castell et al., 2020b). The presence of apolar molecules is capable of modulating membrane physicochemical properties, for example, the presence of squalane at the bilayer midplane has been shown to increase permeability to water and decrease proton permeability (Haines, 2001). Apolar molecules at the midplane have been shown to increase the tendency toward negative membrane curvature by reducing packing frustration (Salvador-Castell et al., 2020a,b) and to play a role in phase separation and domain formation (Gilmore et al., 2013;Salvador-Castell et al., 2020b). Such isoprenoid hydrocarbons are found in all archaea (Langworthy et al., 1982) suggesting this hypothesis could be extended to explain adaptation to high temperature and pressure in other archaea processing lipid bilayers.
In this work we studied the behavior of an archaeal-like bilayer with the proposed novel architecture composed of 1,2-di-O-phytanyl-sn-glycero-3-phosphocholine (DoPhPC) and 1,2-di-O-phytanyl-sn-glycero-3-phosphoethanolamine (DoPhPE) and 2,6,10,15,19,23-hexamethyltetracosane (squalane) under high temperature and high pressure conditions, mimicking the extreme conditions in which some archaea live. Using neutron diffraction, we are able to see the localization of squalane in the midplane bilayer, and to detect the presence of coexisting lamellar phases within the membrane. The structure of each phase as well as the phase coexistence were shown to vary in response to temperature and pressure. The response of the membrane ultrastructure to temperature and pressure could be modulated by varying the quantity of the apolar lipid squalane present in the membrane.

Sample Preparation
Three milligram of DoPhPC:DoPhPE (9:1 molar) and the corresponding amount of either hydrogenated squalane (hsqualane) or deuterated squalane (d-squalane) were dissolved in chloroform:methanol (2:1) and were spread on a silicon wafer using the "rock and roll" method (Tristram- Nagle, 2007) and dried overnight under high vacuum. Next, the sample was hermetically sealed inside an aluminum sample holder containing a 1:1 ratio of H 2 O:D 2 O (50% D 2 O). The sample was left at 50 • C for 48 h to allow for complete hydration.

Neutron Diffraction
Neutron diffraction experiments were performed on D16 (Cristiglio et al., 2015) at the Institut Laue-Langevin (Grenoble, France). The incident wavelength was 4.52 Å. The accessible qrange was from 0.06 Å −1 to 0.51 Å −1 . The H 2 O/D 2 O contrast was 50% D 2 O. 50% D 2 O was previously found to give both strong diffraction signal and good resolution between the first order peaks of the two lamellar phases. The temperature was carefully controlled by placing the sample holder in a cryostat. Samples were either measured in a high temperature (HT) sample holder or in a HT-high hydrostatic pressure (HHP) cell (Peters et al., 2018). Data obtained at ILL are identified by Salvador-Castell et al. (2019).
Data treatment was performed by LAMP (Richard et al., 1996) and Origin Pro (Version 2019, OriginLab Corperation, Northampton, MA, USA). The integrated intensities of the Bragg peaks were corrected according to the absorption and analyzed by a Gaussian function, as done previously (Salvador-Castell et al., 2020c). The angle (θ ) of a Bragg peak is related to the scattering vector (q) by: where λ is the wavelength. In cases where many orders of diffraction were visible, a linear fit of the form y = a + bx was performed on a plot of peak location (q) vs. diffraction order (h). The slope of the line (∆q) was used to determine the d-spacing using the following equation: In cases where only a single Bragg order was visible, the d-spacing was calculated using the first order peak and corrected based on the y-intercept determined for each sample under conditions where multiple peaks were present. To locate squalane in the membrane we used the method described in Hauß et al. (2002Hauß et al. ( , 2005 taking advantage of difference scattering density between hydrogen and deuterium. Neutron scattering length density (NSLD) profiles are constructed from the sum of the neutron scattering lengths per unit volume (Marquardt et al., 2015). The NSLD profiles were calculated from a discrete set of Fourier coefficients (F h ) using the following equation (Katsaras, 1995): where d is the lamellar spacing of the bilayer in the z direction, is the Lorentz correction factor equal to q for oriented bilayers, I h is the integrated intensity of the hth Bragg peak and v n is the phase of the structure factor. The assigned phases of structure factors 1 to 4 (-, +, +, -) were based on those previously determined for this [DoPhPC:DoPhPE(9:1) + squalane] (Salvador-Castell et al., 2020a).

RESULTS AND DISCUSSION
Stable Phases Coexist Within Archaeal-Like Membrane at High Temperature and Pressure Cario et al. (2015) proposed a novel membrane architecture to explain the stability of archaea lipid bilayers under high pressure and temperatures. In this novel membrane architecture, apolar lipids act as structural lipids, sitting at the midplane of the lipid bilayer and leading to enhanced membrane stability under extreme conditions (Oger and Cario, 2013;Cario et al., 2015;Salvador-Castell et al., 2020a). A synthetic archaeal-like membrane composed of a mixture of diphytanyl lipids (DoPhPC and DoPhPE in a 9 to 1 molar ratio) and the apolar lipid squalane was used to model this novel architecture. The chemical structures of these lipids are shown in Supplementary Figure 1. In order to probe how this membrane behaves under the extreme conditions of temperature and pressure faced by archaea, neutron diffraction was performed on oriented stacked bilayers at temperatures up to 85 • C and pressures up to 1,000 bar. Experiments were performed with both hydrogenated squalane (h-squalane) and deuterated squalane (d-squalane) in order to take advantage of the differential neutron scattering between hydrogen and deuterium (Hauß et al., 2002(Hauß et al., , 2005. The neutron scattering length density (NSLD) for membranes containing hsqualane and d-squalane was plotted as a function of distance (Supplementary Figure 2). For convenience, 0 Å represents the midplane of the bilayer. These plots exhibit two characteristic maxima corresponding to the glycerol backbone and a minimal intensity near the terminal methyl groups. The spectra for the membrane containing h-squalane and d-squalane overlap fairly well except within the region corresponding to the midplane of the bilayer (−10 to 10 Å) where the sample containing d-squalane shows an excess of scattering density. This indicates that squalane is located in the midplane of the bilayer and is in agreement with the findings of Salvador-Castell et al. (2020b). In this work we see that this localization of squalane is seen in both Phase LT and Phase HT at low (20 bar) and high (1,000 bar) pressure.
The stacked multilayers were sufficiently ordered in the membrane to give rise to Bragg peaks in the diffraction data. Figure 1A shows the 1D neutron diffraction profiles for a membrane composed of DoPhPC:DoPhPE (9:1) + 5 mol% hsqualane at 20 bar (black spectra). The temperature increased FIGURE 1 | 1D Neutron diffractograms of DoPhPC:DoPhPE (9:1) + 5 mol% h-squalane membrane. (A) Diffractograms at 20 bar and temperatures increasing from 25 to 85 • C and after returning to 25 • C. Diffraction peaks corresponding to Phase LT are denoted with an "x" and peaks corresponding to Phase HT are denoted with an "o." First order diffraction peaks at 85 • C (B), 55 • C (C), and 25 • C (D) measured at 20 bar (black), 250 bar (red), 500 bar (blue), and 1,000 bar (green).
from 25 • C (bottom) to 85 • C (top). At 25 • C, there were three orders of diffraction for the sample at low pressure (20 bar). The first order diffraction peak was located at q = ∼0.12 Å −1 , the second order peak at q = ∼0.23 Å −1 , and the third order peak at q = ∼0.34 Å −1 . The location of peaks in the ratio of (1, 2, 3...) indicates a lamellar phase (Tyler et al., 2015). As the temperature increased, the peaks corresponding to the original phase were still present at similar values of q (marked with an "x"), although with diminished intensities. At higher temperatures (above 40 • C) a second set of peaks appeared at lower values of q corresponding to a new phase (marked with an "o"). The first order diffraction peak of this new phase is located at q = ∼0.09 Å −1 and the second order diffraction peak at q = ∼0.18 Å −1 . The spacing of the peaks indicates that this new phase is also lamellar. We will refer to the new phase as Phase HT because it appeared at high temperatures (HT) compared to the original phase, which is also present at low temperatures (LT) and will therefore be referred to as Phase LT . Increasing temperature leads to an increase in the intensity of the Phase HT peaks indicating that temperature stabilizes Phase HT , and leads to a decrease in the intensity of Phase LT indicating that temperature destabilizes Phase LT . Upon returning the membrane to 25 • C and 20 bar, the initial state, is restored indicating that this change in phase is fully reversible (Figure 1A).
At each temperature, the diffraction of the DoPhPC:DoPhPE (9:1) + 5 mol% h-squalane membrane was measured at 20, 250, 500, and 1,000 bar. The Figure 1 insets show the first order diffraction peaks, indicated by the red boxes, seen at pressures of 20 bar (black), 250 bar (red), 500 bar (blue) and 1,000 bar (green). At 85 and 55 • C, two first order diffraction peaks are seen, representing the two phases. The area of the Phase HT peak (found at lower q) decreases and the area of the Phase LT peak (found at higher q) increases as a function of pressure (Figures 1B,C). This indicates that high pressure has a stabilizing effect on Phase LT and a destabilizing effect on Phase HT . Although it is well-established that increasing pressure causes an effect similar to decreasing the temperature, our results show that even 1,000 bar is not enough to completely replace Phase HT and return to the lipid organization present at lower temperatures. At 25 • C, the membrane is exclusively in Phase LT . Again, there is a slight increase in the intensity of the Phase LT peak with pressure indicating that pressure stabilizes Phase LT (Figure 1D).
Both pressure and temperature play an important role in the stability of each phase and their ability to coexist. In order to better quantify the temperature and pressure range at which these phases coexist, the change in the integrated peak intensities was monitored as a function of temperature at each pressure (20, 250, 500, and 1,000 bar). The changes in the peak intensities of the first order peaks of both Phase LT and Phase HT have a linear dependence on temperature (Figures 2A-D, Supplementary Figure 3). A linear fit could be used to extrapolate/interpolate when the peak intensity would be zero and thus to determine the temperature at which the corresponding phase was no longer present in the membrane for each pressure, as shown in Figure 2.
The integrated peak intensities of Phase LT (blue) and Phase HT (green) at 20 bar were analyzed as a function of temperature (Figure 2A). A linear fit of the integrated Phase HT peak intensities determined that the peak intensity would equal zero at 34.3 ± 3.9 • C, signifying that Phase HT appears above this temperature. Below this temperature, the membrane is exclusively in Phase LT . A linear fit of the Phase LT peak intensities determined that the peak intensity would reach zero at 85.3 ± 1.2 • C. Above this temperature, Phase LT would disappear and the membrane would be entirely in Phase HT . Between these two temperatures, both phases coexist. This analysis was repeated with the data taken at 250, 500, and 1,000 bar (Figures 2B-D), allowing the determination of a pressure-temperature diagram of the phase coexistence of Phase LT and Phase HT (Figure 2E). The temperature at which Phase HT appears (T HT ) increased with increasing pressure from 34.3 ± 3.9 • C at 20 bar to 37.4 ± 3.2 • C at 250 bar, 37.7 ± 3.0 • C at 500 bar, and to 38.9 ± 2.6 • C at 1,000 bar. The increase in T HT with pressure was small (∼5 • C/kbar) and was not statistically significant. The temperature at which Phase LT disappeared (T LT ) also increased with increasing pressure from 85.3 ± 1.2 • C at 20 bar, to 90.2 ± 2.3 • C at 250 bar, 99.7 ± 5.7 • C at 500 bar, and finally to 108.0 ± 6.9 • C at 1,000 bar. The increase in T LT as a function of pressure was much larger (∼24 • C/kbar) ( Figure 2E). Here we demonstrate that although the phases are pressure sensitive, phase coexistence is possible at pressures up to, and presumably above, 1,000 bar. Based on the phase diagram, at high temperatures (> 85 • C), the application of pressure is predicted to induce phase separation from solely Phase HT at low pressure to a coexistence of Phase HT and Phase LT at high pressure and high temperature. Pressure induced phase separation is not a novel concept, as high pressure has been previously shown to be capable of inducing phase separation and domain formation (McCarthy et al., 2015). Our results suggest that this is also possible in membranes composed of archaeal lipids. It should be noted that the T HT and T LT reported here were calculated only as the sample being heated, and that the transition temperature upon cooling was not explicitly tracked. Membranes are known to exhibit hysteresis near phase transitions meaning that the transition temperatures upon heating and cooling are different. A similar effect has also been seen in membranes upon pressurization/depressurization (Trovaslet-Leroy et al., 2016).
From the changes in peak intensity, it could be determined that pressure destabilizes Phase HT and stabilizes Phase LT . In addition to changes in the integrated intensities of the peaks, there were also changes in the location of the peaks with pressure that reflect changes in the lamellar repeat structure. The multilayer organization of the membranes makes it simple to determine the repeat spacing (d), which includes the thickness of the bilayer and its associated water layer (Nagle and Tristram-Nagle, 2000), from the location of the Bragg peaks of each phase. For a lamellar phase, the repeat spacing (d) can be calculated simply by Equation (3), where q is the location of the first order lamellar peak. The d-spacing of both Phase LT (solid symbols) and Phase HT (open symbols) increase as a function of pressure ( Figure 3A). The d-spacing of Phase LT with increasing pressure is shown again in Figure 3B using a different scale to better visualize the changes. Phase LT exhibits either a small increase or negligible change in d-spacing with increasing pressure. Linear fitting of the data determined that the d-spacing of Phase LT increases at a rate of 0.23 ± 0.32 Å/kbar at 25 • C, 0.61 ± 0.13 Å/kbar at 40 • C, 0.53 ± 0.11 at 55 • C, 0.09 ± 0.30 at 70 • C and 0.40 ± 0.16 at 85 • C. An increase in membrane d-spacing with pressure has been observed previously (Winter and Jeworrek, 2009;Trapp et al., 2013;Brooks and Seddon, 2014). Increasing pressure provokes a lateral compression of membrane lipids and an increase in membrane thickness due to extension of the hydrocarbon chains. The d-spacing of Phase HT also increases with pressure ( Figure 3A). The d-spacing increased at a rate of 5.84 ± 0.81 Å/kbar at 40 • C, 5.78 ± 0.19 Å/kbar at 55 • C, 3.91 ± 0.36 Å/kbar at 70 • C, and 2.62 ± 0.22 Å/kbar at 85 • C. The changes in d-spacing for Phase HT were almost an order of magnitude greater than that seen in Phase LT showing that Phase HT is much more sensitive to changes in pressure. It is interesting to note that the swelling of Phase HT decreases with temperature.
The formation of a new phase, Phase HT , is most likely due to the presence of lipids with different preferred curvatures within the membrane as seen by Salvador-Castell et al. (2020b). The bilayer is made up of two phytanyl lipids with different polar head groups (DoPhPC and DoPhPE) and the apolar isoprenoid squalane. The phosphoethanolamine (PE) headgroup is small, so the lipid has a conical geometry and favors a negative curvature (favoring the formation of non-lamellar structure such as inverted hexagonal phases/cubic phases/inverted micelles). The phosphocholine (PC) headgroup is larger and the lipid has a cylindrical geometry which favors zero-curvature (favoring the formation of lamellar structures such as bilayers). The PC headgroup can stabilize the lamellar phase of PE lipids (Kates and Manson, 1984). The phase separation can be explained by partitioning of DoPhPC and DoPhPE into different phases based on preferred curvature which can be triggered, for example, by temperature which favors more negative membrane curvatures. The presence of squalane also promotes negative lipid curvature and was found to forward the formation of non-lamellar phases in a DoPhPC:DoPhPE (9:1) membrane (Salvador-Castell et al., 2020a,b). Increasing pressure, on the other hand, tends to increase the preferred membrane curvature (Shearman et al., 2006;Brooks, 2014). In our model membrane, phase separation was triggered by increasing temperature, which could be due to the differences in curvature between the lipids becoming too great to remain within the same phase. Increasing pressure hinders the phase separation and favors Phase LT , lending further support to the idea that the phase separation is driven by components of different curvature. Increasing negative curvature favors a transition from a lamellar phase to a non-lamellar phase. Although no such phases were seen by neutron diffraction, non-lamellar phases in this membrane system have been detected by SAXS (Salvador-Castell et al., 2020a). Neutron scattering was performed on multistacks of bilayers on a silicon wafer, whereas for the SAXS the sample was not ordered on a substrate but rather was self-assembled in bulk. These differences in lipid preparation may explain why in one case the DoPhPC:DoPhPE (9:1) + 5 mol% squalane membrane separates into two lamellar phases and in the other case the membrane separates into a lamellar phase and an inverted hexagonal phase. The ordering of the lipids on a solid support for neutron diffraction may impede the formation of non-lamellar phases. For both phases seen by neutron diffraction, increasing pressure leads to an increase in the membrane d-spacing, however, the magnitude of the pressure-induced swelling was significantly different between the phases. The changes in Phase LT are small, generally within the error of the measurements for the d-spacing. The changes in Phase HT are quite large (2-6 Å/kbar). The pressure-induced swelling of the Phase HT seen by neutron diffraction is unusually large for a lamellar phase which is typically <2 Å/kbar (Brooks, 2014). Interestingly, the magnitude of the pressure-induced swelling seen in Phase HT is similar to that seen in the inverted hexagonal phase seen by SAXS (Salvador-Castell et al., 2020a). Supplementary Figure 4 illustrates how the membrane lattice parameter (equal to d for lamellar phase and 2/3 d for inverted hexagonal phase) increases as a function of pressure. The similarities in the response to pressure of Phase HT and the inverted hexagonal phase seen in SAXS could be due to the partitioning of lipid headgroups and squalane in a similar manner.

Squalane Regulates Membrane Ultrastructure Under High Temperature and Pressure
Archaea are thought to regulate their membranes response to extreme conditions with apolar lipids. For this reason, the neutron diffraction experiments were repeated with two additional concentrations of hydrogenated squalane, 2.5 and 10 mol% in order to determine what effect the amount of squalane would have on the membrane structure at high temperatures and pressures. Two coexisting phases are also present in membranes containing 2.5 or 10 mol% squalane at elevated temperatures (Supplementary Figures 5, 6).
The repeat spacing of Phase LT and Phase HT was calculated for the membranes containing 2.5, 5, and 10 mol% squalane and the values are displayed in Table 1. In all membranes, there is an increase in the membrane d-spacing with increasing pressure, and Phase HT is again found to be the more pressure-sensitive phase (Figure 4). The pressure induced swelling of Phase LT remains small (≤1Å/kbar) for all squalane concentrations and is not significantly different with changes in temperature. The pressure induced swelling of Phase HT is much larger (2-8 Å/kbar) and the swelling of Phase HT is temperature dependent. FIGURE 4 | Pressure induced swelling of DoPhPC:DoPhPE (9:1) membrane containing different quantities of h-squalane. Swelling of Phase LT containing 2.5 mol% (dark gray), 5 mol% (gray), or 10 mol% (light gray) h-squalane. Swelling of Phase HT containing 2.5 mol% (dark blue), 5 mol% (blue), or 10 mol% (light blue) h-squalane. The swelling is significantly larger at low temperatures and smaller at high temperatures. Although the percentage of squalane does not change the swelling of Phase HT , the amount of squalane does play an important role in affecting the temperature range at which Phase HT is present. At ≥55 • C, Phase HT is seen in membranes containing 2.5, 5, and 10 mol% squalane. At 40 • C, Phase HT is no longer capable of forming the membrane containing 2.5 mol% squalane and at 25 • C, Phase HT is only seen in the membrane containing 10 mol% squalane. The temperatures at which Phase HT appears for a membrane containing either 2.5 or 10 mol% squalane are determined from a linear fit of integrated peak intensity vs. temperature (Supplementary Figure 3). As seen previously with the membrane containing 5 mol% squalane, pressure leads to an increase in T HT and T LT (Supplementary Figure 7). Increasing the quantity of squalane promotes the formation of Phase HT at lower temperatures. For example, at 20 bar Phase HT appears at 44.7 ± 4.0 • C for the membrane containing 2.5 mol% squalane, 34.3 ± 3.9 • C for the membrane containing 5 mol% squalane and 23.9 ± 3.4 • C for the membrane containing 10 mol% squalane. The concentration of squalane has a similar effect on T HT at elevated pressures ( Table 2).
This agrees with previous findings that squalane promotes negative membrane curvature, favoring the formation of Phase HT and phase separation at lower temperatures (Salvador-Castell et al., 2020a,b). Here we show that squalane is also capable of promoting the formation of Phase HT at high pressures. Previously at ambient pressure, it was shown that the phase coexistence and lateral organization within a DoPhPC:DoPhPE membrane was squalane dependent leading to the hypothesis that squalane may promote the formation of membrane domains (Salvador-Castell et al., 2020b). That would mean that the ability of squalane to favor phase separation at high pressures, may indicate that squalane could also promote domain formation in archaea that live at such high-pressure conditions.
In addition to regulating the phase coexistence within the membrane, increasing the amount of squalane in the membrane also affects the d-spacing. The d-spacing of the membrane is typically higher when the membrane contains a higher quantity of squalane for Phase HT (Table 1, Supplementary Figure 8). For example, in Phase HT at 20 bar/55 • C the d-spacing is 67.1 Å when the membrane contains 2.5 mol% squalane compared with 68.1 Å when the membrane contains 5 mol% squalane and 74.7 Å when the membrane contains 10 mol% squalane. In this experiment, we did not see a significant change in the d-spacing of Phase LT with increasing squalane concentration which was seen previously, at ambient pressure and temperature (Salvador-Castell et al., 2020b). The increase in d-spacing with increasing squalane for Phase LT was only seen up to 5 mol% squalane at which point the phase is thought to reach saturation. It is conceivable that the amount of squalane required to reach saturation within membrane could change with pressure and temperature and this may be one of the reason we did not see any change in the d-spacing of Phase LT with increasing squalane in this experiment.
At temperatures at which Phase HT was present, Phase HT was always found to increase in d-spacing with increasing squalane. Previously it was shown that increasing the percentage of squalane leads to an increase in the d-spacing in Phase LT due to an increase in the hydrophobic core thickness (Salvador-Castell et al., 2020b). The localization of squalane to the midplane of the bilayer is confirmed for Phase HT as well as Phase LT (Supplementary Figure 2). This could indicate that the increase in the d-spacing for Phase HT is also due to an increase in hydrophobic core thickness although this cannot be directly confirmed from this data. Increasing squalane promotes changes in membrane structure of both phases, even at high pressures and temperatures, indicating that squalane could act as a membrane regulator under the extreme conditions at which many archaea live.

CONCLUSIONS
It was proposed by Cario et al. (2015) that apolar lipids, such as squalane, sit at the midplane of the lipid bilayer, and provide a means of enhancing the stability of archaeal membrane bilayers under extreme conditions. This localization of apolar lipids to the midplane of an archaeal-like bilayer was then confirmed by the work of Salvador-Castell et al. (2020b). The aims of this study were to determine how an archaeal-like membrane with this novel membrane architecture behaves in response to the high temperatures and high hydrostatic pressures and to determine how the quantity of apolar lipid present in the membrane modulates this behavior. To model the proposed membrane architecture in which apolar molecules sit in the midplane of the bilayer, we used an artificial archaea-like membrane composed of DoPhPC, DoPhPE, and squalane. The use of neutron diffraction allowed us to confirm the localization of the apolar lipid squalane and to further study the coexistence of two distinct lamellar phases previously reported by Salvador-Castell et al. (2020b). The phase separation within the membrane is most likely due to the partitioning of lipids (DoPhPC/DoPhPE) with different preferred curvatures and the presence of the apolar molecule (squalane). The two phases are capable of coexisting at a wide range of temperatures and pressure. High temperature favors the formation of a swollen lamellar phase (Phase HT ) and high pressure favors a thinner lamellar phase (Phase LT ). The temperature and pressure range of the phase coexistence is regulated by the percentage of squalane present in the membrane. Increasing the percentage of squalane favors the formation of Phase HT at lower temperatures, for pressures up to 1,000 bar. Coexistence and lateral organization of these phases was seen previously at ambient pressure (Salvador-Castell et al., 2020b). Here we have shown that phase coexistence is also seen at high pressure which could indicate the possibility of domain formation in archaea living at high pressure in addition to high temperature. Increasing the amount of squalane also leads to an increase in the membrane lamellar repeat spacing for Phase HT . The ability of squalane to modify the membrane ultrastructure at both high pressure and temperature supports the hypothesis that apolar lipids play a role in adaptation of archaea to extreme conditions.

DATA AVAILABILITY STATEMENT
The datasets generated for this study can be found in online repositories. The names of the repository/repositories and accession number(s) can be found at: http://dx.doi.org/10.5291/ ILL-DATA.8-02-852.

AUTHOR CONTRIBUTIONS
PO, MS-C, and JP conceived the project. MS-C, BD, JP, and PO carried out the experiments. JL performed the data analysis and wrote the initial draft. All authors contributed to the final manuscript.