Determining the amphipol distribution within membrane-protein fibre samples using small-angle neutron scattering

Using the unique ability of small-angle neutron scattering to resolve a hydrogen-rich surfactant from a deuterated membrane protein, the results of removing free surfactant from the equilibrium are revealed.


Introduction
Membrane proteins (MPs) play a vital role in cell function, and many of them, such as GPCRs and ion channels, have been exploited as drug targets. Therefore, over the years they have been the target of many structural and functional studies. Conventionally, when extracting MPs from biological membranes they must be handled in detergents in order to keep them soluble in aqueous solution. As detergents sometimes destabilize MPs, it is a formidable task to look for suitable detergents which maintain both their structure and function. To overcome this problem, several novel approaches have been developed to stabilize MPs in close-to-native environments (Hein et al., 2014). J.-L. Popot and coworkers invented a new class of detergents which are based upon an amphipathic polymer called 'amphipol' (APol; Tribet et al., 1996). APol comprises an anionic polyacrylate backbone partially and randomly derivatized with hydrophobic groups: octylamine and isopropylamine. APol makes multiple contacts with MPs, hence the affinity of MP for APol is high. In contrast to conventional detergents, APol is able to solubilize MPs in the near-absence of free APol (Tribet et al., 1997;Popot et al., 2003). Structural studies of MP in complex with APol have been carried out using several biophysical techniques such as electron microscopy (EM; see, for example, Cao et al., 2013;Liao et al., 2013;Lu et al., 2014;Fitzpatrick et al., 2017), smallangle neutron scattering (SANS; Gohon et al., 2008) and ISSN 2059-7983 nuclear magnetic resonance (NMR; Zoonens et al., 2005;Catoire et al., 2010).
Several studies have shown that APol improves the stability of both the -helical and -barrel types of MPs (Kleinschmidt & Popot, 2014). Heat denaturation of bacteriorhodopsins (BRs) in the absence and presence of APol has been observed. BRs were more stable at high temperature in APol than in n-octyl--thioglucoside (Dahmane et al., 2013). APol has also been shown to enhance the thermostability of the GPCR leukotriene B4 receptor (BLT1) in comparison to mixed micelles (Dahmane et al., 2009). The stability of -barrel MPs was tested under high-temperature or chemical denaturing conditions. This illustrated that the major outer membrane protein from the pathogenic bacterium Chlamydia trachomatis does not unfold in APol until the temperature reaches 78 C (Tifrea et al., 2011). OmpA, the outer membrane protein from Escherichia coli, was more resistant to denaturation by urea in APol compared with LDAO (Pocanschi et al., 2013).
Even though APol can stabilize MPs in solution, the approach used for the preparation of MP-APol complexes can have an effect on their stability. For example, it has been reported that the removal of free APol from solutions of MP-APol complexes leads to self-association of the complexes. An initially homogenous state of MP-APol complexes became heterogeneous when depleted of free APol (Zoonens et al., 2007). Likewise, self-organization of BR-APol and OmpF-APol into long filaments was observed by EM when the preparation of these complexes was performed using an approach which completely removed free APol (Gohon et al., 2008;Arunmanee et al., 2014). According to these observations, the presence of free APol may be important for the longterm stability of MP-APol complexes.
Here, we utilized small-angle neutron scattering (SANS) as a powerful tool to study the structure of MP and APol in solution in order to understand the self-organization of MP-APol in the absence of free APol. SANS has been widely used to study the solution structure and interactions between MPs and detergent micelles in solution (Breyton et al., 2013). It also allows us to understand the size, shape and interactions of biomolecules and polymers. Here, the contrast-variation technique enabled us to separately resolve both individual components within mixed complexes of MP-APol. Outer membrane protein F (OmpF), the major porin of the E. coli outer membrane, was used as the model MP. OmpF is a trimeric protein, with each monomer forming a 16-stranded -barrel channel which allows the diffusion of small hydrophilic molecules across the bacterial envelope (Cowan et al., 1992). Using SANS, we observed the association of OmpF-APol into long linear complexes and the APol redistribution which follows the removal of free APol.

Production of deuterated OmpF
Deuterated OmpF was produced from E. coli BE3000 cells (Garavito & Rosenbusch, 1986). The cells were first adapted onto a hydrogenated, solid minimal medium plate; this was followed by growth on an 85% D 2 O minimal medium plate (Artero et al., 2005). Once colonies had grown on the plate, selected larger colonies were grown in 50 ml 85% D 2 O minimal liquid medium. Once growth had been established overnight, these cells were inoculated at a 1:20 ratio into 2 Â 50 ml fresh 85% D 2 O minimal liquid medium. This step was repeated three times in order to increase the initial growth rate. The cells were harvested by centrifugation at 8000g at room temperature and resuspended in 10 ml fresh 85% D 2 O minimal liquid medium. This cell culture was then inoculated into a 1.5 l bioreactor. Growth was monitored by measuring the OD 600 . When the OD 600 reached 10.0, the cells were harvested by centrifugation at 8000g at 4 C for 10 min and the deuterated OmpF was purified as described previously by Lakey et al. (1985). OmpF was precipitated in cold ethanol and was resuspended in 20 mM sodium phosphate buffer pH 7.9, 100 mM NaCl, 0.5%(v/v) octyl-POE detergent. The contrastmatch point was determined using a range of D 2 O concentrations, as described by Arunmanee et al. (2016)

Reconstitution of OmpF into amphipol
The preparation of MP-APol complexes has previously been described by Zoonens et al. (2005). In brief, a stock of APol A8-35 at 20 mg ml À1 in water was stirred using a magnetic stirrer overnight at room temperature before use. The APol was added to detergent-solubilized OmpF at a 1:10(w:w) OmpF:APol ratio in 20 mM sodium phosphate buffer pH 7.9, 100 mM NaCl, 0.5%(v/v) octyl-POE. After incubation for 15 min at room temperature, detergents were removed by incubating the mixture with wet polystyrene Bio-Beads that had been pre-washed with methanol and deionized water at a 1:10(w:w) detergent:beads ratio at room temperature for 3 h. Removal of the polystyrene beads was achieved by centrifugation using an Eppendorf 5424 benchtop microcentrifuge at 20 000g for 5 min at room temperature.

Small-angle neutron scattering (SANS)
2.3.1. SANS sample preparation. APol at 10 mg ml À1 in water was dialysed into 20 mM sodium phosphate pH 7.9, 100 mM NaCl in 100% D 2 O, whereas the OmpF-APol complexes were passed through a Superose 12 column preequilibrated with 20 mM sodium phosphate pH 7.9, 100 mM NaCl. The protein-containing fractions were concentrated using Vivaspin concentrators with a 10 kDa molecular-weight cutoff and then dialysed against the same buffers in 0%, 23.5%, 77% and 100% D 2 O. The final protein concentration in the sample was determined spectrophotometrically by measuring the absorbance at 280 nm.
2.3.2. SANS data collection. Data collection was performed on the SANS2D beamline at ISIS, Rutherford Appleton Laboratory, UK. This is a time-of-flight SANS instrument that uses a white-beam technique with neutrons of wavelengths from 1.75 to 16.5 Å . SANS data were recorded using two $1 Â 1 m detectors; the further detector is 4 m from the sample, while the second detector is closer and offset to a higher angle, to give a combined q range from 0.0045 to 1.9 Å À1 . Data fitting was only carried out to a q of $0.75 Å À1 , where the signal had reached background. The samples (approximately 300 ml) were measured in 1 mm path-length quartz glass cuvettes at 20 C. Background data were also collected for the appropriate D 2 O/H 2 O mixtures. After allowing for the wavelength-dependent incident spectrum, sample transmission and detector efficiencies, the final reduced data were placed on an absolute scale by comparison with scattering from a partially deuterated polystyrene standard.
2.3.3. Data analysis. At the low sample concentrations with salt buffers used here, interparticle interactions should be minimal and the SANS intensity should be given by where there is a volume fraction ' of each component having form factor P(q) and we include a residual flat background (BKG) in the fits to compensate for any remaining discrepancy in the subtraction of incoherent and/or inelastic scattering from hydrogen. q = (4/)sin(/2), where is the wavelength and is the scattering angle. The P(q) functions for shapes such as spheres, ellipsoids and cylinders are detailed in many standard texts on small-angle scattering. P(q) for ellipsoids and cylinders both require numerical integrations over the orientation angles of particles relative to q. For a uniform ellipsoid with axes R, R and XR, then where u = qR(sin 2 + X 2 cos 2 ) 1/2 , V = (4/3)XR 3 and f (u) = 3[sin(u) À u cos(u)]/u 3 . Á is the neutron scattering length density difference between particle and solvent. The scattering length density is the sum of tabulated scattering lengths b i divided by the volume V of the atoms involved. Owing to a phase shift, b is negative for hydrogen, so for example for water varies between À0.56 Â 10 À6 Å À2 in H 2 O and +6.34 Â 10 À6 Å À2 in D 2 O. This means that Á can be made zero, i.e. 'contrast matched', for components such as lipids or surfactants at different water compositions.
For a cylinder of radius R and length L, the integral has where J 1 (x) is a first-order Bessel function and now V = R 2 L. For core plus shell particles f (u) has terms for both core and shell and the volume normalization is slightly different. Given the correct scattering length densities and absolute scattering intensities, fitting programs such as FISH (Heenan, 2005) can provide volume-fraction estimates as well as determining the likely sizes and/or shapes of particles.

Self-assembly of APol in aqueous buffer determined by SANS
SANS is well adapted to determine the masses, shapes and dispersions of particles (Zaccaï & Jacrot, 1983). The solution structure of APol was investigated using SANS. APol was solubilized at 10 mg ml À1 in water and then dialysed into 100% D 2 O buffer (20 mM sodium phosphate pH 7.9, 100 mM NaCl). Initial data analysis by GNOM (Svergun, 1992) provided a p(r) distribution function that gave a radius of gyration (R g ) of 16.6 Å and a maximum dimension (D max ) of 47.5 Å (Fig. 1c). The data were then analysed using the FISH modelling suite (Heenan, 2005). Here, an oblate ellipsoid ( Fig. 1b) with radii 11, 24.5 and 24.5 Å (which would give an R g of 16.25 Å , in agreement with the GNOM analysis) provided the best fit to the experimental data (Fig. 1a). Using the revised mean molecular mass for APol of 4 kDa (Giusti et al., 2014), this result predicts that each particle of APol consists of $2.6 molecules. The R g measured here is smaller than that measured previously (24 Å ; Gohon et al., 2006) The scattering profile of amphipol A8-35 in D 2 O reveals the structure of amphipol A8-35 to be an oblate ellipsoid. (a) SANS data (symbols) and fitting (line) from FISH. (b) An oblate ellipsoid was the best-fitting simple uniform geometric shape model of free hAPol. (c) P(r) distribution function of free hAPol calculated by GNOM. APol was at 10 mg ml À1 in 20 mM sodium phosphate pH 7.9, 100 mM NaCl. variations in size owing to the solution composition have been suggested (Giusti et al., 2014).

OmpF-APol complexes studied by size-exclusion chromatography and small-angle scattering
The size of OmpF-APol complexes in detergent-free buffer was determined by size-exclusion chromatography (SEC) on a Superose 12 column (GE Healthcare). The elution profile in Fig. 2(a) indicated that the OmpF-APol complexes exiting the column were mainly monodisperse trimers (Fig. 2b), with a very small amount of aggregate. Therefore, OmpF-APol complexes at a 1:10(w:w) OmpF:APol ratio (approximately a 1:100 molar ratio) are suitable to solubilize OmpF in the absence of conventional detergents. The elution profiles of APol show that free APol elutes at $12 ml; hence, the SEC results in the removal of free APol. Owing to this separation, the final OmpF:APol ratio in the protein-containing fraction is unknown. After removing free APol by SEC, the freshly eluted monodisperse OmpF-APol complexes assemble into 6 nm diameter filaments within an hour (Arunmanee et al., 2014).

Figure 2
Size-exclusion chromatography shows monodisperse OmpF-amphipol A8-35 complexes. (a) Elution profile of monodisperse OmpF-amphipol A8-35 complexes at a 1:10(w:w) ratio. SEC was carried out at a flow rate of 0.5 ml min À1 using a Superose 12 column equilibrated with 20 mM sodium phosphate pH 7.9, 100 mM NaCl. V 0 represents the void volume of the column where aggregated proteins elute. Free APol is predicted to elute at 12 ml. (b) The proposed models of OmpF (red; PDB entry 2omp) in amphipol A8-35 and detergent micelles (blue). The OmpF structure is from the PDB with schematics of surrounding APol and detergent micelles. The structure of the OmpF-APol filaments was then studied by SANS using the contrast-variation technique, which requires knowledge of the accurate contrast-match point (CMP) of each component in the samples. The CMP is expressed as the %(v/v) of D 2 O where the scattering length density of the solvent is equal to that of the component and results in no observable scattering by that component. Deuterated OmpF (dOmpF) was produced as described and the CMP was experimentally determined to be 77%(v/v) D 2 O (Arunmanee et al., 2016), whereas the CMP of APol (23.5%) has been reported by Gohon et al. (2004) however, that of APol is unknown (the initial concentration of APol was 20 mg ml À1 ). The scattering data were recorded on the SANS2D beamline at ISIS, UK and were analysed using FISH (Heenan, 2005). The parameters used for the SANS data analysis are shown in Table 1. The scattering profiles and fitting of OmpF-APol at different concentrations of D 2 O are illustrated in Fig. 3. According to the crystal structure of OmpF (PDB entry 2omp; Cowan et al., 1992;Fig. 2b) its structure is disc-like, whereas the detergents or amphipols are bound to the hydrophobic region of OmpF located on the outside of the disc (Fig. 2b). Hence, simple models representing OmpF and APol were chosen for the analysis. Fig. 3(b)    This model also fits SANS data from dOmpF in contrastmatching SDS detergent (Clifton et al., 2012; data not shown). The structure of APol in complex with OmpF was studied at 77% D 2 O, where dOmpF is invisible to neutrons. The scattering thus originates solely from the APol, and the red line fitted to this data in Fig. 3(c) results from a combination of hollow-tube and oblate ellipsoid models. The hollow tube with outer radius 54 Å , wall thickness 15 Å and height 40 Å (Fig.  3c) represents APol in the complex, whereas the oblate ellipsoids represent free APol particles (Fig. 4a). This is an indication that free APol is present in the filamentous samples but is invisible to EM (Fig. 4b). As the free APol had previously been removed by SEC during sample preparation, the free APol observed in these samples must originate from Apol originally bound to the monodisperse complexes (Fig.  4c). The SANS method does allow us to estimate that the amount of excess APol present is approximately 4 mg ml À1 in the 77% D 2 O sample. However, there is no sign of a filamentous structure of APol, which should appear as an upturn in the low-q range of the scattering data.
After the individual components of the complex had been resolved by SANS at the CMPs for APol and dOmpF, respectively, the components were combined using a core/shell tube model to represent the dOmpF-APol complexes which scatter at 0 and 100% D 2 O. dOmpF forms the core, whereas APol forms the surrounding shell. The scattering data of OmpF-APol in 0% D 2 O (Fig. 3a) were fitted with the core/ shell tube, but it was not necessary to include the free APol to obtain a good fit. A good fit is obtained from a model with shell width 15 Å , outer radius 60 Å and height 40 Å ( Fig. 3a; Table 1). The proximity to the CMP of Apol means that the scattering is dominated by OmpF.
However, oblate ellipsoids for free APol must be included in the fit for the complexes in 100% D 2 O. Fig. 3(d) shows the scattering data of complexes in 100% D 2 O. The fit is a combination of core/shell tube and oblate ellipsoids representing OmpF/APol complexes and free APol, respectively. In this case, the absolute SANS intensities suggest that roughly 5 mg ml À1 excess APol was found in the samples and that 1.4 mg ml À1 APol wrapped 2 mg ml À1 dOmpF. A core/shell tube (Fig. 3d)  The scattering curve of 100% D 2 O is the only curve that shows an upturn in the low-q region, included here as a q À3.5 term. This may be indicative of a long-range structure or filament. All in all, the findings from the SANS study of OmpF-APol complexes indicated that the complexes consisted of OmpF wrapped by APol, but the filament structure was only seen in 100% D 2 O samples. Moreover, excess APol was found in the samples, even though it should have been removed by SEC during sample preparation or during dialysis. Thus, monodisperse OmpF-Apol complexes elute from the column and then undergo a re-equilibration with free amphipol (Fig. 4c). The loss of amphipol from the  individual complexes is compensated by the formation of filaments, in which protein-protein interactions may take the place of protein-amphipol interactions. The lack of filament signal in the SANS data for OmpF at 23.5% indicates that there is no clear long-range repetitive order of OmpF trimers in the fibres observed by transmission electron microscopy (TEM; Fig. 4).
It should be noted that the structural parameters chosen here, after some trial and error, from SANS are of 'low resolution' owing to the large number of potential parameters and the approximation of complex structures by simple geometric shapes with sharp interfaces and regions of uniform scattering. However, the four different contrasts studied present an entirely consistent view.

Discussion
APols, a new class of detergents, have been used in a number of structural studies including NMR, SANS, EM etc. OmpF was reconstituted into APol with the aim of solubilizing and stabilizing OmpF in solution for molecular-interaction studies. Unexpectedly, instead of forming individual particles in solution, TEM data indicated that OmpF-APol assembled as filaments automatically after the removal of free APol by SEC (Arunmanee et al., 2014). This self-association of MP-APol complexes when lacking free APol has also been reported by Zoonens et al. (2007) and Gohon et al. (2008). This suggested that free APol is essential for the stability of MP-APol complexes in solution. Here, SANS experiments on OmpF-APol complexes purified by SEC confirmed that some of the APol that was initially bound to monodisperse OmpF immediately after SEC dissociated from the complex to create a new pool of free APol. Once this fraction of the APol had been removed from the OmpF-Apol complexes, the remaining APol was not sufficient to keep OmpF monodisperse. Subsequently, the filaments start to assemble rapidly, presumably to minimize the hydrophobic surface exposed to the aqueous buffer. The model generated from the SANS data also suggests that APol wraps around OmpF in a similar way to conventional detergents, so that the removal of Apol increases the exposure of the hydrophobic belt. The SANS experiment on these complexes was unable detect the filamentous structure observed by EM; the complexes appeared as distinct core shell structures. An upturn in the low-q region is an indication of a filamentous structure, but this was only observed in the sample in 100% D 2 O. The lack of this feature could be owing to the fact that the scattering of free APols is stronger than that in the filaments or that it is difficult to see them in the q-range of the SANS2D instrument. The OmpF filaments are easily disrupted by adding lipopolysaccharide (LPS) to OmpF-APol complexes. LPS, a lipid found in the outer leaflet of Gram-negative bacteria, specifically binds to the hydrophobic belt of OmpF (Arunmanee et al., 2016), suggesting again that the filaments are arranged as side-to-side strips of OmpF trimers. Interestingly, the addition of LPS leads to a sheet-like two-dimensional structure (Arunmanee et al., 2014) which is reminiscent of the outer membrane of E. coli comprising OmpF and LPS. Thus, MP-Apol filaments may even provide a method of creating two-dimensional crystals for structural studies (Baboolal et al., 2008;Arunmanee et al., 2014), with the minimal remaining Apol acting as a crystallization chaperone.