Membrane biology visualized in nanometer-sized discs formed by styrene maleic acid polymers

Discovering how membrane proteins recognize signals and passage molecules remains challenging. Life depends on compartmentalizing these processes into dynamic lipid bilayers that are technically difficult to work with. Several polymers have proven adept at separating the responsible machines intact for detailed analysis of their structures and interactions. Styrene maleic acid (SMA) co-polymers efficiently solubilize membranes into native nanodiscs and, unlike amphipols and membrane scaffold proteins, require no potentially destabilizing detergents. Here we review progress with the SMA lipid particle (SMALP) system and its impacts including three dimensional structures and biochemical functions of peripheral and transmembrane proteins. Polymers systems are emerging to tackle the remaining challenges for wider use and future applications including in membrane proteomics, structural biology of transient or unstable states, and discovery of ligand and drug-like molecules specific for native lipid-bound states.     

Extraction of peripheral proteins from nicotinic acetylcholine receptor-enriched membranes

The solubilisation of membrane proteins from nicotinic acetylcholine receptor-enriched membranes from the electric organ of Torpedo marmorata was studied. Chaotropic ions were shown to be ineffective in extracting peripheral proteins from these membranes. Two different anhydrides, 2,3-dimethylmaleic and 3,4,5,6-tetrahydrophthalic anhydride, released certain peripheral membrane proteins but not the integral receptor protein. Treatment of membranes containing $\text{> 3}\text{nmol}$ α-bungarotoxin binding sites per mg protein with anhydride resulted in a 43 kDa polypeptide as the major constituent of the solubilised material. The nature of the 43 kDa polypeptide is discussed. Gentle anhydride treatment did not change the α-bungarotoxin and carbamoylcholine binding properties of the receptor.     

Reconstituted membranes of tumour cells (proteoliposomes) induce specific protection to murine lymphoma cells

Summary Antigens presented on cell membranes or on liposomes are usually more immunogenic than antigens in soluble form, this being one of the reasons for the weak immunogenicity of extracted tumour-associated transplantation antigens (TATA). The main objective of this study is to solubilize TATA from tumour cells and to present them on a membrane-like structure to the immune system. Crude tumour cell membranes of SL2 lymphosarcoma cells (a spontaneously arising, weakly immunogenic tumour) were solubilized with octylglucoside or sodium deoxycholate, and reconstituted membranes (proteoliposomes) were prepared by detergent removal. Mice immunized s.c. with reconstituted membranes were protected against an i. p. challenge with tumour cells. Although octylglucoside solubilized only 41% of the membrane proteins, the reconstituted membranes were as immunoprotective as crude membranes. (Glyco)proteins were probably the major membrane components in the reconstituted membranes that induce immunoprotection, as mice immunized with preparations constituted of (glyco)lipids from SL2 cells could not reject SL2 cells. If Freund's complete adjuvant was used with the first immunization injection, no potentiation of the elicited immune responses was observed. Besides the membrane TATA, SL2 cells contained an apparently non-membrane-bound TATA, which was found in the cytoplasm. It is concluded that detergent solubilization of membranes and subsequent preparation of reconstituted membranes can be used to obtain membrane tumour-associated antigens that retain activity for induction of protective tumour immunity. The major advantage of this method is that membrane proteins are solubilized and are subsequently presented on a membrane-like structure that resembles the tumour cell membrane. On theoretical and practical grounds it provides a promising alternative for whole-cell vaccines.     

A dimeric form of acetylcholinesterase anchored through a glycolipid in mouse skeletal muscle

A glycolipid anchorage for acetylcholinesterase (AChE) has been found in some tissues. In this paper, the possibility of such an anchorage has been explored in mammalian muscle membranes. We report that a phosphatidylinositol-specific phospholipase C (PIPLC) solubilizes AChE from microsomal membranes of mouse intercostal muscle. Among the several molecular forms of AChE, PIPLC specifically releases in a dose dependent manner one molecular form which migrates on linear sucrose gradients as a single peak of sedimentation coefficient 6.3 s. In other subcellular membrane fractions, including motor endplate enriched fraction, PIPLC fails to solubilize AChE. This type of membrane glycolipid mediated anchorage for AChE is then only detectable in a precise region of skeletal muscle.     

Solubilization of Membrane-Bound Acetyicholinesterase by a Phosphatidylinositol-Specific Phospholipase C

Phosphatidylinositol-specific phospholipase C (PIPLC) quantitatively solubilizes acetylcholinesterase (AChE) from purified synaptic plasma membranes and intact synaptosomes of Torpedo ocellata electric organ. The solubilized AChE migrates as a single peak of sedimentation coefficient 7.0S upon sucrose gradient centrifugation, corresponding to a subunit dimer. The catalytic subunit polypeptide of AChE is the only polypeptide detectably solubilized by PIPLC. This selective removal of AChE does not affect the amount of acetylcholine released from intact synaptosomes upon K+ depolarization. PIPLC also quantitatively solubilizes AChE from the surface of intact bovine and rat erythrocytes, but only partially solubilizes AChE from human and mouse erythrocytes. The AChE released from rat and human erythrocytes by PIPLC migrates as a approximately 7S species on sucrose gradients, corresponding to a catalytic subunit dimer. PIPLC does not solubilize particulate AChE from any of the brain regions examined of four mammalian species. Several other phospholipases tested, including a nonspecific phospholipase C from Clostridium welchii, fail to solubilize AChE from Torpedo synaptic plasma membranes, rat erythrocytes, or rat striatum.     

Stabilization of membranes upon interaction of amphipathic polymers with membrane proteins

Amphipathic polymers derived from polysaccharides, namely hydrophobically modified pullulans, were previously suggested to be useful as polymeric substitutes of ordinary surfactants for efficient and structure-conserving solubilization of membrane proteins, and one such polymer, 18C(10), was optimized for solubilization of proteins derived from bacterial outer membranes (Duval-Terrie et al. 2003). We asked whether a similar ability to solubilize proteins could also be demonstrated in eukaryotic membranes, namely sarcoplasmic reticulum (SR) fragments, the major protein of which is SERCA1a, an integral membrane protein with Ca(2+)-dependent ATPase and Ca(2+)-pumping activity. We found that 18C(10)-mediated solubilization of these SR membranes did not occur. Simultaneously, however, we found that low amounts of this hydrophobically modified pullulan were very efficient at preventing long-term aggregation of these SR membranes. This presumably occurred because the negatively charged polymer coated the membranous vesicles with a hydrophilic corona (a property shared by many other amphipathic polymers), and thus minimized their flocculation. Reminiscent of the old Arabic gum, which stabilizes Indian ink by coating charcoal particles, the newly designed amphipathic polymers might therefore unintentionally prove useful also for stabilization of membrane suspensions.     

Chemical modification of sarcoplasmic reticulum. Stimulation of Ca2+ release.

Pretreatment of sarcoplasmic membranes with acetic or maleic anhydrides, which interact principally with amino groups, resulted in an inhibition of Ca2+ accumulation and ATPase activity. The presence of ATP, ADP or adenosine 5'-[beta, gamma-imido]triphosphate in the modification medium selectively protected against the inactivation of ATPase activity by the anhydride but did not protect against the inhibition of Ca2+ accumulation. Acetic anhydride modification in the presence of ATP appeared to increase specifically the permeability of the sarcoplasmic reticulum membrane to Ca2+ but not to sucrose, Tris, Na+ or Pi. The chemical modification stimulated a rapid release of Ca2+ from sarcoplasmic reticulum vesicles passively or actively loaded with calcium, from liposomes reconstituted with the partially purified ATPase fraction but not from those reconstituted with the purified ATPase. The inactivation of Ca2+ accumulation by acetic anhydride (in the presence of ATP) was rapid and strongly pH-dependent with an estimated pK value above 8.3 for the reactive group(s). The negatively charged reagents pyridoxal 5-phosphate and trinitrobenzene-sulphonate, which also interact with amino groups, did not stimulate Ca2+ release. Since these reagents do not penetrate the sarcoplasmic reticulum membranes, it is proposed that Ca2+ release is promoted by modification of internally located, positively charged amino group(s).     

Comparative extraction of erythrocyte EDTA-membrane proteins by some ionic and non-ionic detergents

In order to examine whether it would be possible to obtain, by a simple extraction procedure from EDTA-erythrocyte-membranes, a partially purified preparation of the "band 3 zone" proteins, we have tested four solubilizing agents of common use. Detergents, both ionic (DOC and SDS) and non ionic (Tween 80 and Triton X-100), were not able, in our experimental conditions, to completely solubilize erythrocyte fragmented membranes which had previously been washed in EDTA-buffers. However, they were able to solubilize some of the membrane proteins, which could then be separated by SDS-PGE. The PGE densitometric profiles reported in this communication indicate that the protein mixture extracted by the ionic detergents DOC and SDS qualitatively reflects the protein composition of the membranes. Among the non ionic detergents, on the other hand, Triton X-100 appeared to be able to extract mainly one band (most probably the band 3 zone), while Tween 80 did not apparently extract any of the membrane proteins. Detergent concentrations, medium composition and experimental procedures are described in detail.     

Sodium Laurate,a Novel Protease- and Mass Spectrometry-Compatible Detergent for Mass Spectrometry-Based Membrane Proteomics

The hydrophobic nature of most membrane proteins severely complicates their extraction, proteolysis and identification. Although detergents can be used to enhance the solubility of the membrane proteins, it is often difficult for a detergent not only to have a strong ability to extract membrane proteins, but also to be compatible with the subsequent proteolysis and mass spectrometric analysis. In this study, we made evaluation on a novel application of sodium laurate (SL) to the shotgun analysis of membrane proteomes. SL was found not only to lyse the membranes and solubilize membrane proteins as efficiently as SDS, but also to be well compatible with trypsin and chymotrypsin. Furthermore, SL could be efficiently removed by phase transfer method from samples after acidification, thus ensuring not to interfere with the subsequent CapLC-MS/MS analysis of the proteolytic peptides of proteins. When SL was applied to assist the digestion and identification of a standard protein mixture containing bacteriorhodoposin and the proteins in rat liver plasma membrane-enriched fractions, it was found that, compared with other two representative enzyme- and MS-compatible detergents RapiGest SF (RGS) and sodium deoxycholate (SDC), SL exhibited obvious superiority in the identification of membrane proteins particularly those with high hydrophobicity and/or multiple transmembrane domains.     

Triton X-100 extraction of P815 tumor cells: evidence for a plasma membrane skeleton structure

It has been shown that a Triton X-100-insoluble protein matrix can be isolated from the plasma membranes of P815 tumor cells and murine lymphoid cells (Mescher, M. F., M. J. L. Jose and S. P. Balk, 1981, Nature (Lond.), 289:139-144). The properties of the matrix suggested that this set of proteins might form a membrane skeletal structure, stable in the absence of the lipid bilayer. Since purification of plasma membrane results in yields of only 20 to 40%, it was not clear whether the matrix was associated with the entire plasma membrane. To determine if a detergent-insoluble structure was present over the entire cell periphery and stable in the absence of the membrane bilayer or cytoskeletal components, we have examined extraction of whole cells with Triton X-100. Using the same conditions as those used for isolation of the matrix from membranes, we found that extraction of intact cells resulted in structures consisting of a continuous layer of protein at the periphery, a largely empty cytoplasmic space, and a nuclear remnant. Little or no lipid bilayer structure was evident in association with the peripheral layer, and no filamentous cytoskeletal structures could be seen in the cytoplasmic space by thin-section electron microscopy. Analysis of these Triton shells showed them to retain approximately 15% of the total cell protein, most of which was accounted for by low molecular weight nuclear proteins. 5'- Nucleotidase, a cell surface enzyme that remains associated with the plasma membrane matrix, was quantitatively recovered with the shells. Included among the polypeptides present in the shells was a set with mobilities identical to those of the set that makes up the plasma membrane matrix. The polypeptide composition of the shells further confirmed that cytoskeletal proteins were present to a very low extent, if at all, after the extraction. The results demonstrate that a detergent-insoluble protein matrix associated with the periphery of these cells forms a continuous, intact macrostructure whose stability is independent of the membrane bilayer or filamentous cytoskeletal elements, and thus has the properties of a membrane skeletal structure. Although not yet directly demonstrated, the results also strongly suggest that this peripheral layer is composed of the previously described set of plasma membrane matrix proteins. This article discusses possible roles for this proposed membrane skeletal structure in stabilizing the membrane bilayer and affecting the dynamics of other membrane proteins.     

Protein composition and structure of human placental microvillous membrane. External surface, sialic acid containing, extrinsic and intrinsic components.

The microvillous membrane of human placenta is in direct contact with maternal blood and thus plays a vital role in many essential functions of the placenta. As an initial step in understanding the membrane proteins, and their relationship to these functions and to the structure of the membrane, we have investigated an isolated membrane preparation. Ten major peptide bands and an approximately equal number of minor bands were seen with sodium dodecyl sulfate (SDS)-polyacrylamide gel electrophoresis. Sialoglycoproteins were labeled with periodate (PA-³H) borohydride and external surface components with lactoperoxidase-[¹²⁵I] (LP-¹²⁵I). One principal (69 000 mol. wt) and several minor (100 000, 45 000, and 38–40 000 mol. wt) bands were labeled as Sialoglycoproteins and found to be exposed on the surface of the membrane. Approx. 50% of the membrane protein and all of the sialic acid was tightly bound to membrane lipid and resistant to extraction with dimethyl maleic anhydride (DMMA). Electron microscopy demonstrated extraction by DMMA of microfilaments presumptively identified as actin and other electron dense components from the villous core. The extracted supernate and the residual pellet differed markedly in protein composition. The supernatant contained bands of 180 000, 115 000, 85 000, 70–72 000, 45 000, and 38–40 000 mol. wt whereas the lipid pellet contained components of 200 000, 150 000, 100 000, 69 000, and 64 000 mol. wt. The lipid matrix with which these proteins were associated contained phosphatidyl choline and sphingomyelin and was similar in composition to other plasma membranes. Thus by using a variety of experimental approaches the proteins of the human placental microvillous membrane can be divided into groups based on their sialic acid content, exposure on the external surface, tightness of binding to the membrane lipid, and relation to membrane structure.     

SMA基微孔膜固定化β-半乳糖苷酶的研究

以超临界二氧化碳（SCCO2）为分散介质在聚偏氟乙烯（PVDF）微孔膜表面和孔内进行马来酸酐和苯乙烯的接枝共聚,合成出超高分子量的苯乙烯/马来酸酐交替共聚物（SMA）基微孔PVDF膜。以SMA基PVDF膜为载体通过酸酐基和酶分子上的氨基偶联,制备出具有酶催活性的功能性分离膜。考察了影响酶固定化的因素,确定其最佳固定化条件为: 温度,4oC;pH,8.2; 酶/膜,1:10;反应时间,6h。固定化酶膜的最适温度为55oC,最适pH为7.8,均比自由酶稍高;Km（0.3mM/L）与自由酶接近。固定化酶膜活力达13.5 U/cm2 膜, 比活为280.0 U/mg 蛋白,蛋白载量为68.2 g/cm2 膜,相对活力为89.0%。固定化酶膜表现出良好的操作稳定性和储存稳定性,SMA基PVDF微孔酶膜超滤制备低乳糖牛奶实验表明该技术应用前景广阔。     

Designer lipid-like peptides: a class of detergents for studying functional olfactory receptors using commercial cell-free systems

A crucial bottleneck in membrane protein studies, particularly G-protein coupled receptors, is the notorious difficulty of finding an optimal detergent that can solubilize them and maintain their stability and function. Here we report rapid production of 12 unique mammalian olfactory receptors using short designer lipid-like peptides as detergents. The peptides were able to solubilize and stabilize each receptor. Circular dichroism showed that the purified olfactory receptors had alpha-helical secondary structures. Microscale thermophoresis suggested that the receptors were functional and bound their odorants. Blot intensity measurements indicated that milligram quantities of each olfactory receptor could be produced with at least one peptide detergent. The peptide detergents' capability was comparable to that of the detergent Brij-35. The ability of 10 peptide detergents to functionally solubilize 12 olfactory receptors demonstrates their usefulness as a new class of detergents for olfactory receptors, and possibly other G-protein coupled receptors and membrane proteins.     

Molecular Model for the Solubilization of Membranes into Nanodisks by Styrene Maleic Acid Copolymers

A recent discovery in membrane research is the ability of styrene-maleic acid (SMA) copolymers to solubilize membranes in the form of nanodisks allowing extraction and purification of membrane proteins from their native environment in a single detergent-free step. This has important implications for membrane research because it allows isolation as well as characterization of proteins and lipids in a near-native environment. Here, we aimed to unravel the molecular mode of action of SMA copolymers by performing systematic studies using model membranes of varying compositions and employing complementary biophysical approaches. We found that the SMA copolymer is a highly efficient membrane-solubilizing agent and that lipid bilayer properties such as fluidity, thickness, lateral pressure profile, and charge density all play distinct roles in the kinetics of solubilization. More specifically, relatively thin membranes, decreased lateral chain pressure, low charge density at the membrane surface, and increased salt concentration promote the speed and yield of vesicle solubilization. Experiments using a native membrane lipid extract showed that the SMA copolymer does not discriminate between different lipids and thus retains the native lipid composition in the solubilized particles. A model is proposed for the mode of action of SMA copolymers in which membrane solubilization is mainly driven by the hydrophobic effect and is further favored by physical properties of the polymer such as its relatively small cross-sectional area and rigid pendant groups. These results may be helpful for development of novel applications for this new type of solubilizing agent, and for optimization of the SMA technology for solubilization of the wide variety of cell membranes found in nature.     

Solubilization of bacterial membrane proteins using alkyl glucosides and dioctanoyl phosphatidylcholine.

The non-ionic detergent octyl glucoside solubilizes a substantial amount of Streptococcus faecalis membrane protein without loss of the monitored enzyme activities. A secondary detergent, dioctanoyl phophatidycholine, appears to increase the yield of solubilized material. In addition, the effect of ionic strength indicates that it may be possible to selectively extract groups of membrane proteins by their characteristic solubility at different ionic strengths. The solubilized membrane-associated enzymes, ATPase and NADH dehydrogenase, enter polyacrylamide gels as distict species. Electrophoretic studies suggest that there are two membrane-associated ATPase in the Streptococcus faecalis, one which dissociates from the membrane in the absence of Mg-2+ ions and the other which remains particulate until solubilized by detergents. Octyl glucoside can be easily removed from a solution containing solubilized proteins and lipid by dialysis.     

The GDI-like solubilizing factor PDEδ sustains the spatial organization and signalling of Ras family proteins

We identify a role for the GDI-like solubilizing factor (GSF) PDEδ in modulating signalling through Ras family G proteins by sustaining their dynamic distribution in cellular membranes. We show that the GDI-like pocket of PDEδ binds and solubilizes farnesylated Ras proteins, thereby enhancing their diffusion in the cytoplasm. This mechanism allows more effective trapping of depalmitoylated Ras proteins at the Golgi and polycationic Ras proteins at the plasma membrane to counter the entropic tendency to distribute these proteins over all intracellular membranes. Thus, PDEδ activity augments K/Hras signalling by enriching Ras at the plasma membrane; conversely, PDEδ down-modulation randomizes Ras distributions to all membranes in the cell and suppresses regulated signalling through wild-type Ras and also constitutive oncogenic Ras signalling in cancer cells. Our findings link the activity of PDEδ in determining Ras protein topography to Ras-dependent signalling.     

Membrane-bound annexin V isoforms (CaBP33 and CaBP37) and annexin VI in bovine tissues behave like integral membrane proteins.

The distribution of annexin V isoforms (CaBP33 and CaBP37) and of annexin VI in bovine lung, heart, and brain subfractions was investigated with special reference to the fractions of these proteins which are membrane-bound. In addition to EGTA-extractable pools of the above proteins, membranes from lung, heart, and brain contain EGTA-resistant annexins V and VI which can be solubilized with detergents (Triton X-100 or Triton X-114). A strong base like Na2CO3, which is usually effective in extracting membrane proteins, only partially solubilizes the membrane-bound, EGTA-resistant annexins analyzed here. Also, only 50-60% of the Triton X-114-soluble annexins partition in the aqueous phase, the remaining fractions being recovered in the detergent-rich phase. Altogether, these findings suggest that, by an as yet unknown mechanism, following Ca(2+)-dependent association of annexin V isoforms and annexin VI with membranes, substantial fractions of these proteins remain bound to membranes in a Ca(2+)-independent way and behave like integral membrane proteins. These results further support the possibility that the above annexins might play a role in membrane trafficking and/or in the regulation of the structural organization of membranes.     

Site-specific interaction of ATPase-pumped protons with photosystem II in chloroplast thylakoid membranes

The chloroplast thylakoid ATPase proton pump-driven H+ accumulation in the dark was compared to the light-dependent proton pump driven by either photosystem II or I, in regard to the effects of the resultant acidity on chemical modification reactions. The assays used to detect the acidity effects were: (a)the incorporation of [3H]-acetic anhydride into membrane protein -NH2 groups, and (b) the effect of a certain level of that chemical modification on inhibition of photosystem II water oxidation activity. Based on labeling data with [3H]-acetic anhydride, 20-30 nmol.(mg chl)-1 of -NH3+ groups appear to be metastable in the dark in untreated membranes. The term metastable is used because proton leak-inducing treatments in the dark lead to about 20-30 nmol . (mg chl)-1 increase in acetic anhydride labeling probably due to reaction with the -NH2 form of amine groups. Addition of low levels of uncoupler or a brief thermal treatment caused a loss of protons from the membrane equivalent to the increase in acetic anhydride derivatization. The increase in acetic anhydride derivatization caused inhibition of water oxidation activity. Using thermally sensitized membranes, photosystem II but not photosystem I electron transport (each giving a steady-state proton accumulation of about 50 nmol H+ . (mg chl)-1 restored the lower level of acetic anhydride reactivity as in previous results (Baker et al., 1981). In dark-maintained, thermally treated membranes, ATPase activity, i.e., the proton pump associated with it, also restored the lower level of acetic anhydride labeling, and again acetic anhydride no longer inhibited water oxidation. Because photosystem I activity did not elicit this type of response to acetic anhydride, there appears to be a pathway for ATPase pumped protons which allows them to reach a restricted domain, perhaps intramembrane, common with the photosystem II water oxidation mechanism and unavailable to protons pumped by photosystem I. The membrane structure(s) which determines this site specificity is not yet understood.     

The reaction of aldolase with 2-methylmaleic anhydride

1. The reaction of rabbit muscle aldolase with 2-methylmaleic anhydride is described. All the protein amino groups can be reversibly blocked. 2. As the reaction proceeds, the enzyme activity decreases until, at about 50% citraconylation of amino groups, the enzyme is completely inhibited. At this stage, little or no dissociation of the enzyme tetramer is observed and 75% of the activity is recoverable on unblocking the amino groups. 3. At 80% blocking, the enzyme is completely dissociated but little enzymic activity is recoverable after unblocking. Inability to recover activity after citraconylation and unblocking correlates with the onset of dissociation of the citraconyl-aldolase seen on ultracentrifugation. 4. The only irreversible modification of the enzyme primary structure detectable after the citraconylation and unblocking reactions is the partial loss of thiol groups. It is probable that this is responsible for the inability to reform active enzyme from the citraconylated subunit. 5. Other reversible side reactions of maleic anhydride and citraconic anhydride that may occur with proteins are discussed.     

The effects of ionic strength on the protein conformation and the fluidity of porcine intestinal brush border membranes. Fluorometric studies using N-[7-dimethylamino-4-methylcoumarinyl]maleimide and pyrene

The effects of ionic strength on the conformation around the SH groups of the proteins and the lipid fluidity of porcine intestinal brush border membranes were studied using two fluorescent dyes, N-[7-dimethylamino-4-methylcoumarinyl]maleimide (DACM) and pyrene. The extent of DACM labeling to the SH groups of the membrane proteins was accelerated depending on the KCl concentrations in medium. A quenching study of DACM-labeled membranes with acrylamide showed that the proximity of the quencher to the fluorescence-labeled SH groups in the membrane proteins is increased with increasing ionic strength of medium. An implication of the conformational changes around SH groups in the membrane proteins with increase of ionic strength was also obtained from the stimulation of guanidine effect on the fluorescence parameters of DACM-labeled membranes by addition of KCl. On the other hand, the results of the quenching study with KI, excimer fluorescence, and polarization measurements of pyrene-labeled membranes suggested an increase of membrane fluidity on addition of KCl to medium. The temperature dependence of polarization of the complex strongly suggested that the rotational freedom of pyrene molecules embedded into the lipid layers of the membranes is increased by addition of KCl. In fact, the harmonic means of the rotational relaxation times of pyrene molecules in the membranes with and without 100 mM KCl were estimated to be about 2900 and 9000 ns at 25 degrees C, respectively. Based on these results, the salt-induced alterations of the conformation in the vicinity of the bound dyes of the membrane proteins and of the membrane fluidity are discussed.