Liposome formation of selectively-polymerized diene-containing phospholipids and their postpolymerization

Small and large unilamellar liposomes composed of 1,2-bis(2,4-octadecadienoyl)-sn-glycero-3-phosphorylcholine (DODPC) are prepared by sonication and extrusion, respectively. They are polymerized with water-insoluble radical initiator, azobis(isobutyronitrile) (AIBN) which can selectively polymerize diene groups in 1-acyl chains of the lipids. Polymerized liposomes are freeze-dried to obtain the polymerized liposome powder. There are two methods to redisperse lyophilized liposomes into water. The extrusion is an effective method to disperse them because the energy at extrusion is necessary only for redispersion, whereas the excess energy at sonication gives damage on liposome structure. There is no difference in stability between polymerized liposomes before and after redispersion with extrusion. DODPC polymers, obtained from free radical-initiated polymerization with AIBN, are linear and have polymerizable diene groups in 2-acyl chains. The liposome powder is therefore soluble in organic solvents. Reconstruction of polymerized liposomes is performed with lipid polymers having low or high molecular weight. The lipid polymers having high molecular weight provide stable large unilamellar liposomes by ethanol injection, but unstable small unilamellar liposomes are formed by sonication. The liposomes reconstructed from lipid polymers having low molecular weight are unstable regardless of their size. After reconstruction of liposomes selectively polymerized by AIBN, diene groups in 2-acyl chains are polymerized by water-soluble radical initiator or UV-irradiation to yield highly crosslinked structure. Their stability is improved remarkably by this postpolymerization.     

Cardanol as a replacement for cholesterol into the lipid bilayer of POPC liposomes

Large unilamellar liposomes were prepared by hydration of 1-palmitoyl-2-oleylphosphatydilcholine (POPC) films and subsequent extrusion of the obtained liposomal suspension. Inclusion of cholesterol and cardanol brings about a stabilization of the membranes of the liposomes, as determined by their rates of release of entrapped 5(6)-carboxyfluorescein. The liposome breakdown was promoted by a non-ionic surfactant (Triton X-100) and the kinetic measurements were carried out by fluorimetry in water at 25 degrees C. Morphological analyses of giant POPC liposomes in the presence and in the absence of both guests were also performed. The results obtained suggest the use of cardanol (an easy available natural product) as a replacement for cholesterol as a new possibility for stabilizing liposomes in drug targetting.     

Gamma-ray polymerization of phospholipids having diene or triene groups as liposomes

Small unilamellar liposomes were prepared in an aqueous medium by the sonication of phospholipids containing diene or triene groups in their hydrocarbon acyl chains. These liposomes were polymerized by gamma-ray irradiation. Conversion of polymerization was successively followed by UV spectrometry. Diene-type lipid liposomes were revealed for which a gamma-ray dose of 0.8 Mrad was required for complete polymerization and which were polymerized more easily than triene-type lipid liposomes. Triene-type lipids required 2.3 Mrad gamma ray to polymerize them completely. Contrary to UV-irradiation polymerization, there was no concentration dependence on the polymerization. Structure of the polymerized liposomes were confirmed by electron microscopy as small unilamellar liposomes. Study on the leakage of fluorescein from inner aqueous phase of the polymerized liposomes revealed that polymerized triene-type liposomes were relatively more stable than the polymerized diene-type liposomes.     

Stabilized liposomes with phospholipid polymers and their interactions with blood cells

To stabilize a phospholipid liposome, addition of various water-soluble polymers into a liposomal aqueous suspension was investigated. The water-soluble polymers were poly(ethylene oxide) (PEO), poly(N-vinyl pyrrolidone) (PVPy) and poly[2-methacryloyloxyethyl phosphorylcholine(MPC)], and poly[MPC-co-n-butyl methacrylate(BMA)]. The gel–liquid crystal transition temperature (T_c) of the diparmitoylphosphatidylcholine (DPPC) liposome was not changed by addition of these polymers significantly. However, membrane fluidity of DPPC liposome treated with water-soluble polymers, which was measured with fluorescence probe, depended on the chemical structure of the water-soluble polymers. In the case of PEO and PVPy, the temperature dependence of membrane fluidity was the same as that of the original DPPC liposome, on the other hand, poly(MPC) and poly(MPC-co-BMA) induced a rise in the temperature where an increase in the membrane fluidity was observed. The release of carboxy fluorescein from the DPPC liposome was suppressed by the addition of the MPC polymers. The liposomes in the MPC polymer solution were stable compared with those in water when plasma was added into the suspension. Interactions with stabilized liposome with blood cells such as platelets and erythrocytes were evaluated. Activation of platelets in contact with liposome covered with poly(MPC) or poly(MPC-co-BMA) was less than PEO-stabilized liposome. On the other hand, no hemolysis of erythrocytes was observed when every polymer-treated liposome was added in the suspension of erythrocytes. Based on these results, the MPC polymers could interact with the liposome surface, adsorb on the liposomes and stabilize them, and had no adverse effect to the blood cells even when they were in a physiological environment.     

Two-Dimensional polymerization of supramolecular assemblies: Synthesis and bilayer polymerization of lipids containing α-methylene-substituted acyl chains

Polymerization of lipid assemblies may be usefully employed to alter the properties of the assemblies. The possible locations of the reactive group in the lipids include (1) the chain terminus, (2) the head group, and (3) near the lipid backbone. The third strategy yields polymerized assemblies which retain their head group functionality and lipid chain motion. We have designed and synthesized new members of this later category by the use of 2-methylene-substituted acyl chains. The main transition temperature (T_m) from gel to liquid crystalline phase of hydrated bilayers of 1-palmitoyl-2-(2-methylene)palmitoyl-sn-glycero-3-phosphocholine ( 1 ) and the disubstituted 1,2-bis(2-methylenepalmitoyl)-sn-glycero-3-phosphocholine ( 2 ) were 33.6 and 25.3°C, respectively. The T_m of the mono-substituted 1-oleoyl-2-(2-methylene)palmitoyl-sn-glycero-3-phosphocholine ( 3 ) bilayers was detected in a range from ?15 to ?10°C by x-ray diffraction. Hydrated bilayers of each individual lipid were successfully polymerized with a water-soluble initiator, azobis(2-amidinopropane) dihydrochloride (AAPD). These results indicate the lipid 2-methylene groups are accessible to the water interface. Thermal polymerization of the mono-substituted lipids in aqueous suspensions with AAPD, yielded oligomers. However the bis-2-methylene PC ( 2 ) was successfully polymerized to yield stabilized crosslinked bilayers. © 1994 John Wiley & Sons, Inc.     

Probing mechanical properties of liposomes using acoustic sensors

Acoustic devices were employed to characterize variations in the mechanical properties (density and viscoelasticity) of liposomes composed of 1-oleoyl-2-palmitoyl- sn-glycero-3-phosphocholine (POPC) and cholesterol. Liposome properties were modified in three ways. In some experiments, the POPC/cholesterol ratio was varied prior to deposition on the device surface. Alternatively, the ratio was changed in situ via either insertion of cholesterol or removal of cholesterol with beta-cyclodextrin. This was done for liposomes adsorbed directly on the device surface and for liposomes attached via a biotin-terminated poly(ethylene glycol) linker. The acoustic measurements make use of two simultaneous time-resolved signals: one signal is related to the velocity of the acoustic wave, while the second is related to dissipation of acoustic energy. Together, they provide information not only about the mass (or density) of the probed medium but also about its viscoelastic properties. The cholesterol-induced increase in the surface density of the lipid bilayer was indeed observed in the acoustic data, but the resulting change in signal was larger than expected from the change in surface density. In addition, increasing the bilayer resistance to stretching was found to lead to a greater dissipation of the acoustic energy. The acoustic response is assessed in terms of the possible distortions of the liposomes and the known effects of cholesterol on the mechanical properties of the lipid bilayer that encloses the aqueous core of the liposome. To aid the interpretation of the acoustic response, it is discussed how the above changes in the lipid bilayer will affect the effective viscoelastic properties of the entire liposome/solvent film on the scale of the acoustic wavelength. It was found that the acoustic device is very sensitive to the mechanical properties of lipid vesicles; the response of the acoustic device is explained, and the basic underlying mechanisms of interaction are identified.     

Monitoring of membrane collapse and enzymatic reaction with single giant liposomes embedded in agarose gel

Giant liposomes are often used as models for studies on cell membranes. We embedded giant liposomes in agarose gel to fix them for assays. Giant liposomes of dioleoylphosphatidylcholine were embedded in 1% (w/v) agarose gel with a low melting temperature: While only 20–25% of giant liposomes survived embedment, their size distribution was unaffected. Using a confocal laser scanning microscope, we monitored dynamic changes in individual agarose gel-embedded giant liposomes induced by the addition of a surfactant (Triton X-100). The permeation and collapse could be clearly discriminated from each other. Invaginated buds on liposome membranes could also be captured as intermediate structures. Additionally, an enzymatic (β-glucosidase) reaction encapsulated within the target liposome was triggered by the external addition of a non-fluorescent substrate and successfully monitored. These results suggest that embedment in agarose gel is useful for the simple fixation of giant liposomes for biochemical and biophysical assays.     

Radical polymerization of muconic acid and ethyl muconate

Muconic acid (Mu-acid) was found to polymerize to trans-1,4-poly(Mu-acid) with the use of azobisisobutyronitrile (AIBN) as an initiator. Similarly, a muconic acid derivative, ethyl muconate (EMu), was readily polymerized through a trans-1,4 addition mechanism by the use of a radical or anionic catalyst, but did not polymerize when a cationic catalyst such as boron trifluoride etherate was used. Moreover, the copolymerization of Mu-acid and EMu with various comonomers such as styrene, acryronitrile, and 2-vinylpyridine was carried out and Q–e values of Mu-acid and EMu are discussed. These substituted diene monomers always polymerized through trans-1,4 addition with all catalysts and any comonomers.     

Spectroscopic studies and photodynamic actions of hypocrellin B in liposomes

Hypocrellin B (HB), a lipid-soluble natural pigment of perylenequinone derivative, is considered as potential photosensitizer for photodynamic therapy. Liposomes loaded with HB can constitute a simple model system, appropriate for better understanding the photodynamic action of HB in vivo. The steady-state absorption and emission spectra, quantum yield and lifetime of fluorescence of HB incorporated into egg L-a-phosphatidyl-choline (EPC) liposome were examined. The photochemical properties (Type I and/or Type II) of HB have also been studied in aqueous dispersions of small unilamellar liposomes of EPC using electron paramagnetic resonance and spectrophotometric methods, respectively. The quantum yield of 1O2 generated by HB is ca 0.76 in chloroform solution and it did not change upon the incorporation of HB into liposomes of EPC. The superoxide anion radical was generated by the electron transfer from the anion radical of HB (HB.-) to oxygen. The disproportionation of O2.- can generate H2O2 and ultimately the highly reactive .OH via the Fenton reaction. It could be that the disproportionation proceeded too fast, so we could not detect O2.- directly in aqueous dispersions of liposome EPC. Moreover, the self-sensitized photooxygenation of HB embedded in liposomes was studied, and almost fully (87%) inhibiting this reaction of HB by p-benzoquinone (as the quencher of O2.-) in aqueous dispersion of liposome EPC indicated that the radical mechanism (Type I) might be mainly involved in this oxygenation. All these findings suggested that the photodynamic action of HB proceeded via both Type-I and -II mechanisms, but Type-I mechanism might play a more important role in the aqueous dispersion.     

Structure of small actin-containing liposomes probed by atomic force microscopy: effect of actin concentration & liposome size

Actin-containing liposomes were prepared via extrusion through 400 and 600 nm pore diameter membranes at different monomeric actin concentrations in low ionic strength buffer (G-buffer). After subjecting the liposome dispersions to high ionic strength polymerization buffer (F-buffer), topological changes in liposome structure were studied using atomic force microscopy (AFM). Paired dumbbell, horseshoelike, and disklike assemblies were observed for actin-containing liposomes extruded through 400 and 600 nm pore diameter membranes. The topology of actin-containing liposomes was found to be highly dependent on both liposome size and actin concentration. At 1 mg/mL actin, the actin-containing liposomes transformed into a disklike shape, whereas, at 5 mg/mL actin, the actin-containing liposomes retained a spherical shape. On the basis of these observations, we hypothesize that actin could either polymerize on the surface of the inner leaflet of the liposome membrane or polymerize in the aqueous core of the liposome. We explain the associated shape changes induced in actin-containing liposomes on the basis of the hypothesized mechanism of actin polymerization inside the liposomes. At higher actin concentrations (5 mg/mL), we observed membrane-induced actin self-assembly in G-buffer, which implies that G-actin is able to interact directly with lipid bilayers at sufficiently high concentrations.     

Protective effect caused by the exopolymer excreted by Pseudoalteromonas antarctica NF3 on liposomes against Triton X-100

The capacity of the glycoprotein (GP) excreted by Pseudoalteromonas antarctica NF₃ to protect phosphatidylcholine (PC) liposomes against the action of Triton X-100 was studied in detail. Increasing amounts of GP assembled with liposomes resulted in a linear increase in the effective surfactant-to-PC molar ratios needed to produce the same alterations in liposomes and in a linear fall in the surfactant partitioning between the bilayer and the aqueous phase. Thus, the higher the proportion of GP assembled with liposomes the lower the surfactant ability to alter the permeability of vesicles and the lower its affinity with these bilayer structures. In addition, increasing GP proportions resulted in a progressive increase in the free surfactant concentration (S _W) for the same surfactant–liposome interaction step. The fact that S _W was always lower than the surfactant critical micelle concentration indicates that the interaction was mainly ruled by the action of surfactant monomers, regardless of the amount of GP assembled. Received: 4 May 1999 Accepted in revised form: 6 July 1999     

Complexation of polycations to anionic liposomes: composition and structure of the interfacial complexes

Poly(N-ethyl-4-vinylpyridinium bromide) (a polycation with a degree of polymerization of 1100) was adsorbed onto liposomes composed of egg lecithin with a 0.05-0.20 molar fraction (nu) of anionic headgroups provided by cardiolipin (a doubly anionic lipid). According to electrophoretic mobility data, this led to total charge neutralization of the liposomes, whereupon the liposomes adopted a positive charge as additional polymer continued to adsorb. Although the liposomes aggregated at the charge-neutralization point, they disassembled into individual liposomes after becoming positively charged. The degree of polymer adsorption was shown to reach a limit. Thus, by measuring the free polymer content in a liposome suspension, it was possible to determine the polymer concentration at which the liposome surface became saturated with polymer. Beyond this point, an electrostatic/steric barrier at the surface suppressed further adsorption. Dynamic light scattering studies of liposomes with and without adsorbed polymer allowed calculation of the polymer film thickness which ranged from 22 to 35 nm as the molar fraction of cardiolipin (nu) increased from 0.05 to 0.20. The greater the content on the anionic lipid in the bilayer, the thicker the polymer film. The maximum number of polymer molecules adsorbed onto the liposomes was estimated: 1-2 molecules for nu = 0.05; 3 molecules for nu = 0.1; 4- molecules for nu = 0.15; and 6 molecules for nu = 0.2. The polymer appears to lie on the liposome surface, rather than embedding into the bilayer, because addition of NaCl easily dislodges the polymer from the liposome into the bulk water.     

Liposome chromatography: liposomes immobilized in gel beads as a stationary phase for aqueous column chromatography

Liposomes have been used as a stationary phase for column chromatography with an aqueous mobile phase. They were immobilized in the pores of carrier gel beads by two methods: (A) hydrophobic ligands were coupled to the matrix of gel beads, which then were packed into a column and liposomes were applied and became associated with the ligands by hydrophobic interaction; and (B) phospholipids and detergent were dialysed in the presence of gel beads; many of the liposomes that formed in the pores of the beads were sterically immobilized by the gel matrix. Proteoliposomes containing red cell glucose transport protein in the lipid bilayers were immobilized in a column by method A. This column retained D-glucose longer than L-glucose. In contrast to L-glucose, D-glucose was transported into and out of the immobilized liposomes, causing an increased retention. Liposomes with (stearylamine)+ or (phosphatidylserine)- in their lipid bilayers were immobilized by method B and the gel beads were packed into a column. A protein of opposite charge was applied in excess. Under suitable conditions, the protein molecules became close-packed on the liposome surfaces. Ion-exchange chromatographic experiments with proteins showed that these sterically immobilized liposomes were also stable enough to be used as a stationary phase. The loss of lipids was 5-23% in the first run at high protein load and with sodium chloride gradient elution but was lower in subsequent runs. It is proposed that water-soluble molecules can be separated and their interactions with liposome surfaces studied by chromatography on immobilized liposomes in detergent-free aqueous solution. Membrane proteins can be inserted and ligands can be anchored in the lipid bilayers for chromatographic purposes.     

Stable polymeric nanoballoons: lyophilization and rehydration of cross-linked liposomes

The cross-linking of supramolecular assemblies of hydrated lipids is an effective method to stabilize these assemblies to disruption by surfactants or aqueous alcohol. The heterobifunctional lipids, Acryl/DenPC(16,18) and Sorb/DenPC(18,21), are examples of a new class of polymerizable lipid designed for the creation of cross-linked lipid structures. The robust nature of cross-linked liposomes was demonstrated by lyophilization of the liposomes followed by their essentially complete redispersion in water. The resulting liposomes were compared to the original sample by quasi-elastic light scattering and transmission electron microscopy. There was no major change in the size or structure of the cross-linked liposomes after rehydration of the freeze-dried powder of liposomes. Moreover, the rehydrated cross-linked liposomes continued to be resistant to surfactant solubilization. Neutral cross-linked liposomes were predominantly redispersed after freeze-drying with the aid of bath sonication. The small amount of residual liposome aggregation observed with neutral liposomes could be prevented by incorporating a surface charge into the liposome or attaching hydrophilic polymers, for example, poly(ethylene glycol), onto the liposome.     

Synthesis of nearly micron-sized particles by soap-free emulsion polymerization of methacrylic monomer using an oil-soluble initiator

Methacrylic monomer was used in soap-free emulsion polymerization in order to obtain a stable dispersion containing particles of the polymerized monomer. 2,2′-Azobis(2-methylpropionitrile) (AIBN) or 1,1′-azobis(1-acetoxy-1-phenylethane) (OT_AZO-15) were used as the radical initiator. Although particles with a size of about 1.0 μm were obtained when using methyl methacrylate as the monomer and AIBN as the initiator, the particles did not exhibit good dispersion stability. When OT_AZO-15, which has phenyl rings, was used as the initiator, the monomer phase solidified instead of forming particles in the aqueous phase. Benzyl methacrylate (BMA) monomer, which contains a phenyl ring, was polymerized using AIBN. Negatively charged particles with a size of 0.90 μm were formed. These particles exhibited good dispersion stability probably because of the pi electrons of the phenyl ring in the BMA monomer. The method in this study allows the synthesis of nearly micron-sized particles without surfactant, organic solvent, and electrolyte.     

Antioxidant effect of vitamin K homologues on ascorbic acid/Fe(2+)-induced lipid peroxidation of lecithin liposomes.

The effects of vitamin K homologues (K1, K2 and K3) on lipid peroxidation of lecithin liposomes induced by ascorbic acid and ferrous ion were examined. Ubiquinone-10 (UQ-10) was used as a reference in evaluation of the effectiveness of these vitamins. The lipid peroxidation was assessed by measurements of thiobarbituric acid-reactive substance (TBARS) and conjugated diene formation during the reaction. Among them, vitamins K1 and K2 inhibited the lipid peroxidation, as did UQ-10, with the order of effectiveness: UQ-10 greater than K2 greater than K1. By contrast, vitamin K3 had no inhibitory effect on ascorbic acid/Fe(2+)-induced lipid peroxidation of the liposomes. The inhibitory effect of vitamins K1 and K2 appeared only when these vitamins were incorporated into the liposomes by sonication. Simple mixing of the liposomes with these vitamins or with UQ-10 did not inhibit peroxidation of the liposomes even at high concentrations. From measurements of nitroblue tetrazolium reduction and p-nitrosodimethylaniline bleaching of vitamin K1- or K2-incorporated liposomes in the presence of ascorbic acid/Fe2+, it was found that these vitamins prevent the formation of hydroxyl radicals, not superoxide anions, during the peroxidation reaction. However, the degree of ascorbic acid/Fe(2+)-induced TBARS formation of the liposomes was not inhibited by the addition of mannitol to the reaction mixture. From these results, it is suggested that the inhibitory effect of these vitamins is mainly involved in termination of radical-chain reaction. Experimental results using several radical scavengers and/or antioxidants supported this interpretation.(ABSTRACT TRUNCATED AT 250 WORDS)     

Kinetics of the adhesion of DMPC liposomes on a mercury electrode. Effect of lamellarity, phase composition, size and curvature of liposomes, and presence of the pore forming peptide mastoparan X

Liposomes suspended in aqueous electrolyte solutions can adhere at mercury electrodes. The adhesion is a complex process that starts with the docking and opening and leads to a spreading, finally resulting in the formation of islands of adsorbed lecithin molecules. The adhesion process can be followed by chronoamperometry, and a detailed analysis of the macroscopic and microscopic kinetics can be performed yielding rate constants and activation parameters. By using giant unilamellar liposomes and multilamellar liposomes, the effect of lamellarity and liposome size could be elucidated for liposomes in the liquid crystalline, gel, and superlattice phase states. Below the phase transition temperature, the time constant of opening of the liposomes (i.e., the irreversible binding of the lecithin molecules on the preliminary contact interface liposome|mercury and the therewith associated disintegration of the liposome membrane on that spot) is shown to be strongly size dependent. The activation energy, however, of that process is size independent with the exception of very small liposomes. That size dependence of time constants is a result of the size dependence of the initial contact area. The time constant and the activation energies of the spreading step exhibit a strong size dependence, which could be shown to be due to the size dependence of rate and activation energy of pore formation. Pore formation is necessary to release the solution included in the liposomes. This understanding was corroborated by addition of the pore inducing peptide Mastoparan X to the liposome suspension. The obtained results show that electrochemical studies of liposome adhesion on mercury electrodes can be used as a biomimetic tool to understand the effect of membrane properties on vesicle fusion.     

Deformable liposomes containing alkylcarbonates of γ-cyclodextrins for dermal applications

Liposomes made with hydrogenated soya lecithin (HPC) mixed with dodecylcarbonate γ-cyclodextrin (C12CD) at 20:1, 10:1 and 5:1 w/w ratios were prepared by the solvent evaporation method. C12CD had emulsifying properties and the possibility of producing deformable liposomes, as topical delivery system of progesterone (PG), was evaluated. Liposome size, deformability and drug entrapment were determined and the interaction between C12CD and HPC was investigated using differential scanning calorimetry (DSC). The size and the amount of PG loaded in the liposomes depended on the lipid:C12CD ratio: the smallest liposomes were obtained using 20:1 ratio and the maximum drug entrapment at 5:1 ratio. DSC analysis suggested that C12CD interacted with liposomes disrupting and fluidizing the lipid bilayer. PG transepidermal permeation through intact pig skin and PG skin uptake from deformable liposomes were assessed and compared to the values obtained from aqueous suspension and conventional liposomes. The PG permeations were negligible for all systems, while skin uptake increased for liposomes containing C12CD. This was attributed to the deformability and to the increase in the drug entrapment efficiency of these liposomes. The use of C12CD in liposome formulations can improve PG topical therapy.     

Polymerization of 1-bromo-2-phenylacetylene

The title monomer was polymerized by thermal initiation and the polymers were analyzed by IR, NMR, and GPC. The polymers were found to be low molecular weight species that had eliminated bromine as the polymerization progressed. In addition, initiation with AIBN was attempted, however, no difference in rate of polymerization, percent conversion, or molecular weight was noted between these polymers and those synthesized by thermal initiation. Also, no initiator fragments were found in the polymers.     

Polymerization of vinyl chloride at reduced monomer accessibility. II. Polymerization at subsaturation pressure with emulsion PVC as seed

Vinyl chloride was polymerized at 59–92% of saturation pressure in a water-suspended system at 45–65°C with an emulsion poly(vinyl chloride) (PVC) latex as a seed. A water-soluble initiator was used in various concentrations. The monomer was continuously charged as vapor from a storage vessel kept at lower temperature. Characterization included determination of molecular-weight distribution and degree of long-chain branching by gel permeation chromatography (GPC) and viscometry, thermal dehydrochlorination, and microscopy. The polymerization rate decreases with decreasing pressure but is reasonable even at the lowest pressure. The molecular weight decreases with decreasing pressure and increasing initiator concentration and also with increasing polymerization temperature, if the initiator concentrations are chosen to give a constant initiator radical concentration. The degree of long-chain branching increases with increasing initiator concentration and decreasing monomer pressure but is unaffected by the polymerization temperature, if the initiator radical concentration is kept constant. The thermal stability decreases with decreasing M _n, while the degree of long-chain branching has only a minor influence. The most important factor in the system influencing the molecular parameter is the monomer accessibility.