Self-assembling and membrane modifying properties of a lipopeptaibol studied by CW-ESR and PELDOR spectroscopies.

Trichogin GA IV is a short lipopeptaibol antibiotic that is capable of enhancing the transport of small cations through the phospholipid double layer of the membrane. The antibiotic activity of the undecapeptide is thought to be based on either its self-assembling or membrane-modifying property. The chemical equilibrium between self-aggregated and non-aggregated molecular states was studied by CW-ESR spectroscopy using solutions of TOAC nitroxide spin-labelled trichogin analogues in an apolar solvent to mimic the membrane bound state. At room temperature the two different sets of signals observed in the spectrum were attributed to the presence of both monomers and aggregates in the sample. The ESR spectra of the monomeric and aggregated forms were separated and the dependence of the fraction of monomeric peptide molecules on concentration was obtained over the range 5 x 10(-6) to 7 x 10(-4) M. A two-step aggregation mechanism is proposed: dimerization of peptide molecules followed by aggregation of dimers to assemblies of four peptide molecules per aggregate. The equilibrium constants were estimated for both steps. In addition, the lower lifetime limit was determined for dimers and tetramers. It is shown that when the peptide concentration exceeds 10(-5) M. the major part of the peptide molecules in solution has the form of tetrameric aggregates. Independently, the PELDOR technique was used to investigate the concentration dependence of the parameters of the dipole-dipole interaction between spin labels in frozen (77 K] glassy solutions of aggregates of mono-labelled TOAC analogues. The number of molecules in aggregates as well as the frequency and amplitude of PELDOR signal oscillations were found to be concentration independent in the range 5 x 10(-4) to 8 x 10(-3) M. In the frozen glassy solution state, the number of peptide molecules per aggregate was determined to be close to four, which is in agreement with the value obtained for spin-labelled trichogin at room temperature. The present data provide experimental evidence in favour of a self-assembling rather than a membrane-modifying ion conduction mechanism.     

Distinct interaction of versican/PG-M with hyaluronan and link protein

The proteoglycan aggregate is the major structural component of the cartilage matrix, comprising hyaluronan (HA), link protein (LP), and a large chondroitin sulfate (CS) proteoglycan, aggrecan. Here, we found that another member of aggrecan family, versican, biochemically binds to both HA and LP. Functional analyses of recombinant looped domains (subdomains) A, B, and B' of the N-terminal G1 domain revealed that the B-B' segment of versican is adequate for binding to HA and LP, whereas A and B-B' of aggrecan bound to LP and HA, respectively. BIAcore trade mark analyses showed that the A subdomain of versican G1 enhances HA binding but has a negligible effect on LP binding. Overlay sensorgrams demonstrated that versican G1 or its B-B' segment forms a complex with both HA and LP. We generated a molecular model of the B-B' segment, in which a deletion and an insertion of B' and B are critical for stable structure and HA binding. These results provide important insights into the mechanisms of formation of the proteoglycan aggregate and HA binding of molecules containing the link module.     

Thermodynamical model of indefinite mixed association of two components and NMR data analysis for caffeine-AMP interaction

This paper describes the model used to estimate the parameters of caffeine-AMP interactions from corresponding 1H-NMR measurements and some methods of data analysis by which the applicability of the model has been checked. The model of mixed association is applicable to a mixture of any two substances A and C which exhibit indefinite aggregates in both self-association and mixed association. In aggregates, only nearest neighbour interaction is assumed. The model is described by three equilibrium constants: Kaa and Kcc (for self-association of A, or C, respectively), and Kac (for mixed association).     

Specific binding sites for monomeric and aggregated beta 2-microglobulin on surface of groups A, B, C, and G streptococci

Human beta 2-microglobulin (beta 2-m) was isolated from urine samples of patients with tubular dysfunctions and aggregated with glutaraldehyde. Four aggregates with molecular weights of 800,000, 480,000, 260,000, and 60,000 were separated by filtration on Sephacryl S-300. The aggregates and monomeric beta 2-m (11,800 MW) were subsequently labeled with 125I and tested for binding to streptococci. Group A streptococci bound only aggregated beta 2-m with a mean binding of 44.5%. Most of the group G streptococci, on the other hand, bound only monomeric beta 2-m with a mean binding of 58%. Among group B streptococci the serotypes with protein antigens interacted mainly with monomeric beta 2-m and those without protein antigens preferentially with aggregated beta 2-m. Nontypable group B streptococcal serotypes did not bind monomeric or aggregated beta 2-m. Of the streptococci belonging to group C, S. equisimilis reacted with monomeric beta 2-m and S. dysgalactiae with aggregated beta 2-m. S. equi did not interact with monomeric beta 2-m or aggregated beta 2-m. Bindings of monomeric beta 2-m and aggregated beta 2-m were saturable and could be inhibited by the respective unlabeled forms of beta 2-m. Fibrinogen, fibronectin, alpha 2-macroglobulin, haptoglobin, or immunoglobulin G did not inhibit the binding of either form of beta 2-m. The binding sites for monomeric beta 2-m were more susceptible to trypsin than those for aggregated beta 2-m. Treatment of streptococci with pronase destroyed their binding activities for monomeric and aggregated beta 2-m. Both monomeric beta 2-m and aggregated beta 2-m binding sites were sensitive to heat. The Scatchard plots of monomeric beta 2-m and aggregated beta 2-m were linear with Kd of 1.29 X 10(-9) M and 1.9 X 10(-9) M respectively. The number of binding sites per bacterium were estimated to be 81,000 for monomeric beta 2-m and 1,210 for aggregated beta 2-m.     

Substrate regulation of calcium binding in Ca2+-ATPase molecules of the sarcoplasmic reticulum. I. Effect of ATP

The effect of ATP on calcium binding of the Ca2+-ATPase of the sarcoplasmic reticulum has not been clarified. By comparing the calcium dependence of the ATPase activity and of phosphorylation of the ATPase molecules with that of calcium binding in the absence of ATP, we show the existence of two types of regulatory site of the enzyme molecules at which ATP binding variously improves the calcium binding performance of the molecules depending on the aggregation state of the molecules and pH; the two regulatory sites bind ATP at submillimolar (0.25 mm) and millimolar (5 mm) ATP, respectively. The results are discussed based on a model of two conformational variants (A and B forms) of the chemically equivalent ATPase molecules (Nakamura, J., and Furukohri, T. (1994) J. Biol. Chem. 269, 30818-30821). For example, in the sarcoplasmic reticulum membrane at pH 7.40, submillimolar ATP converted the calcium binding manner of the A form from noncooperative (Hill number (n(H)) of approximately 1) to cooperative (n(H) approximately 2), concurrent with a decrease in the apparent calcium affinity (K(0.5)) from 2-6 to 0.1-0.3 microm. The binding of the A form became almost the same as that of the B form (n(H) approximately 2, K(0.5) approximately 0.2 microm), which was not affected by ATP. Millimolar ATP further decreased the K(0.5) of the cooperative binding of the two forms to approximately 0.05 microm. Regulation of the calcium binding performance by ATP is discussed in terms of monomeric and oligomeric pathway models.     

Mixed IgA-IgG aggregates as a model of immune complexes in IgA nephropathy

Patients with IgA nephropathy have circulating immune complexes containing IgA, IgG, and C3. We have mixed human IgG and IgA1 and heated them to form mixed aggregate. On sucrose density gradients IgG aggregates were 11 to 19S whereas IgA aggregates were either 11S or greater than 19S. Mixed aggregates had both an 19 and 11 S peak. The isoelectric point of aggregates with only IgG was 7 to 9 and of only IgA 4.5 to 5.5. The isoelectric point of mixed aggregates decreased as the percent IgA increased. IgG aggregates mixed with normal human serum caused 30% C3 activation (20 min, 37 degrees C) whereas IgA aggregates causes no activation. There was a linear decrease in C3 activation as the percent IgA increased. Mixed aggregates that contained either radiolabeled IgG or IgA were mixed with normal human serum (1 h, 37 degrees C) and then solubilized, reduced, and separated by 10% SDS-PAGE. Heavy m.w. bands, consistent with covalent bonding of C3b and C3bi to Ig H chain were only seen in lanes with labeled IgG. This was confirmed by Western blot analysis. A human dimeric IgA1 myeloma protein with rheumatoid factor activity was also studied. It caused 15% alternative pathway C3 activation but did not fix C3 to its H chain. Binding of aggregates (+/- C3) to E was tested. Aggregates with IgG C3 bound but IgA (+/- C3) did not. Addition of greater than 10% IgA to an IgG-C3 aggregate inhibited E binding. We conclude that IgG in mixed aggregates is the site of C3 fixation. In contrast, IgA does not fix C3 but instead lowers the isoelectric point, increases the size and inhibits binding to E. These properties would inhibit clearance and promote mesangial deposition and local C activation.     

Aggregates are the biologically active units of endotoxin

For the elucidation of the very early steps of immune cell activation by endotoxins (lipopolysaccharide, LPS) leading to the production and release of proinflammatory cytokines the question concerning the biologically active unit of endotoxins has to be addressed: are monomeric endotoxin molecules able to activate cells or is the active unit represented by larger endotoxin aggregates? This question has been answered controversially in the past. Inspired by the observation that natural isolates of lipid A, the lipid moiety of LPS harboring its endotoxic principle, from Escherichia coli express a higher endotoxic activity than the same amounts of the synthetic E. coli-like hexaacylated lipid A (compound 506), we looked closer at the chemical composition of natural isolates. We found in these isolates that the largest fraction was hexaacylated, but also significant amounts of penta- and tetraacylated molecules were present that, when administered to human mononuclear cells, may antagonize the induction of cytokines by biologically active hexaacylated endotoxins. We prepared separate aggregates of either compound 506 or 406 (tetraacylated precursor IVa), mixed at different molar ratios, and mixed aggregates containing both compounds in the same ratios. Surprisingly, the latter mixtures showed higher endotoxic activity than that of the pure compound 506 up to an admixture of 20% of compound 406. Similar results were obtained when using various phospholipids instead of compound 406. These observations can only be understood by assuming that the active unit of endotoxins is the aggregate. We further confirmed this result by preparing monomeric lipid A and LPS by a dialysis procedure and found that, at the same concentrations, only the aggregates were biologically active, whereas the monomers showed no activity.     

The Lys 280 → Gln mutation mimicking disease‐linked acetylation of Lys 280 in tau extends the structural core of fibrils and modulates their catalytic properties

Amyloid fibrillar aggregates isolated from the brains of patients with neurodegenerative diseases invariably have post‐translational modifications (PTMs). The roles that PTMs play in modulating the structures and polymorphism of amyloid aggregates, and hence their ability to catalyze the conversion of monomeric protein to their fibrillar structure is, however, poorly understood. This is particularly true in the case of tau aggregates, where specific folds of fibrillar tau have been implicated in specific tauopathies. Several PTMs, including acetylation at Lys 280, increase aggregation of tau in the brain, and increase neurodegeneration. In this study, tau‐K18 K280Q, in which the Lys 280 → Gln mutation is used to mimic acetylation at Lys 280, is shown, using HX‐MS measurements, to form fibrils with a structural core that is longer than that of tau‐K18 fibrils. Measurements of critical concentrations show that the binding affinity of monomeric tau‐K18 for its fibrillar counterpart is only marginally more than that of monomeric tau‐K18 K280Q for its fibrillar counterpart. Quantitative analysis of the kinetics of seeded aggregation, using a simple Michaelis–Menten‐like model, in which the monomer first binds and then undergoes conformational conversion to β‐strand, shows that the fibrils of tau‐K18 K280Q convert monomeric protein more slowly than do fibrils of tau‐K18. In contrast, monomeric tau‐K18 K280Q is converted faster to fibrils than is monomeric tau‐K18. Thus, the effect of Lys 280 acetylation on tau aggregate propagation in brain cells is expected to depend on the amount of acetylated tau present, and on whether the propagating seed is acetylated at Lys 280 or not.     

Interaction energies in lectin-induced erythrocyte aggregation

Two N-acetylgalactosamine-reactive lectins, Helix pomatia (HPA) and Dolichos biflorus (DBA), were used to study the energies involved in cell-cell interactions through the specific binding of these lectins to their membrane receptors on genotype AO human erythrocytes (red blood cells) (RBCs). The energy required to dissociate a unit of aggregated membrane area (gamma d) of two RBCs bridged by lectin molecules was determined from the shear force needed to dissociate two-cell aggregates in a flow channel. When HPA were used as bridging molecules, gamma d (0.4 X 10(-4) to 3.8 X 10(-4) dyn/cm) was proportional to the density (D = 175 to 1,060 molecules/micron 2) of HPA molecules bound on the RBC membrane. A similar gamma d/D ratio was also obtained for DBA. These results indicate that the number of lectin molecules bound on the interface plays an important role in determining the energy required for cell-cell dissociation. The aggregation energy per unit membrane area (gamma a) in lectin-induced aggregates was calculated from the degree of encapsulation of a lectin-bound, heat-sphered human RBC by a normal discoid RBC. A minimum of approximately 1,800 HPA molecules/micron 2 on the spheres was required to form stable aggregates with the RBC. By using spheres having a surface HPA density of 1,830 to 2,540 molecules/micron 2, or 1.1-1.5 X 10(12) combining sites/cm2, the gamma a value for HPA-induced aggregation was found to be 2.2 X 10(-3) dyn/cm. This higher value of gamma a than gamma d has been explained on the basis of several differences in aggregation and disaggregation processes. The gamma a value for DBA-induced aggregation was not obtainable by the sphere encapsulation method because of the relative low D values. A comparison of the present results with the published value of the free energy change of 5 kcal/mol for the interactions of HPA and DBA with their ligands suggests that only a small fraction of the lectin molecules bound to RBC surface participate in the bridging of adjacent cells.     

Small angle X-ray scattering study of meso-tetrakis (4-sulfonatophenyl) porphyrin in aqueous solution: a self-aggregation model

The aggregate morphology of meso-tetrakis(4-sulfonatophenyl) porphyrin (TPPS(4)) in aqueous solution is investigated by using small angle x-ray scattering (SAXS) technique. Measurements were performed at pH 4.0 and 9.0 to monitor the pH influence on the structural parameters of the aggregates. Radii of gyration were obtained from distance distribution functions p(r) analysis. The experimental data of TPPS(4) at pH 4.0 showed well-defined oscillations characteristic of large aggregates in contrast to the SAXS curve of 5 mM TPPS(4) at pH 9.0, where both a significant decrease in the intensity and the disappearance of the oscillation peaks suggest the dissociation of the aggregate. A 340-A long "hollow" cylinder with shell thickness of 20 A, compatible to the porphyrin molecule dimension, represents well the scattering curve of the aggregates at pH 4.0. According to the fitting parameters, 26 porphyrin molecules self-associate into a ringlike configuration in the plane of the cylinder cross-section. The total number of porphyrin molecules in the whole aggregate was also estimated as approximately 3000. The model compatible to SAXS data of a hollow cylinder with J-aggregation in the cross-section and H-aggregation (columnar stacking) between the cylinder layers is consistent with optical absorption spectroscopic data both in the literature and obtained in this work.     

Model analysis of surfactant--polymer interaction as cooperative ligand binding to linear lattice

An improved model of the cooperative binding of monomeric ligands to a linear lattice is proposed for the analysis of surfactant association on the polymer. The interaction between bound ligands across an unoccupied site as well as the steric hindrance effect in consecutive bindings is taken into account here. Typical results of the model calculations are represented, and several least squares fittings of the binding isotherms of the ionic surfactant-polyelectrolyte systems are attempted. The characteristic binding behavior in those systems is interpretable by the feasible model of the interactions between surfactant molecules. The advantages and limitations of the analysis using this model also are discussed.     

Impact of phospholipid bilayer saturation on amyloid-β protein aggregation intermediate growth: A quartz crystal microbalance analysis

Evidence that membrane-associated amyloid aggregate growth can impart membrane damage represents one possible mechanism for the neurodegeneration associated with deposited amyloid-β protein (Aβ) aggregates in the brains of Alzheimer’s disease (AD) patients. This potential pathogenic event necessitates an understanding of the impact that cellular membrane composition may have on Aβ aggregate growth. In the current study, a quartz crystal microbalance (QCM) was employed to examine the growth of Aβ_1-40 aggregation intermediates on supported phospholipid bilayers (SPBs) assembled at the crystal surface. These surface-specific measurements illustrate that zwitterionic SPBs selectively bind aggregated but not monomeric protein, and these bound aggregates are capable of supporting nonsaturable reversible growth via monomer addition. Growth-capable Aβ_1-40 aggregation intermediates more readily bind SPBs composed of phospholipids with a greater degree of carbon saturation. Furthermore, kinetic analysis afforded by the quantitative real-time QCM measurements reveals that SPBs with greater saturation also better support the growth of bound Aβ_1-40 aggregation intermediates as a result of the slower dissociation of bound monomer rather than more efficient recognition between aggregate and monomeric protein. These findings correlate with epidemiological and experimental evidence that links increased dietary intake of polyunsaturated fatty acids to a reduced risk of AD.     

Cooperative partition model of nystatin interaction with phospholipid vesicles

Nystatin is a membrane-active polyene antibiotic that is thought to kill fungal cells by forming ion-permeable channels. In this report we have investigated nystatin interaction with phosphatidylcholine liposomes of different sizes (large and small unilamellar vesicles) by time-resolved fluorescence measurements. Our data show that the fluorescence emission decay kinetics of the antibiotic interacting with gel-phase 1,2-dipalmitoyl-sn-glycero-3-phosphocholine vesicles is controlled by the mean number of membrane-bound antibiotic molecules per liposome, . The transition from a monomeric to an oligomeric state of the antibiotic, which is associated with a sharp increase in nystatin mean fluorescence lifetime from approximately 7-10 to 35 ns, begins to occur at a critical concentration of 10 nystatin molecules per lipid vesicle. To gain further information about the transverse location (degree of penetration) of the membrane-bound antibiotic molecules, the spin-labeled fatty acids (5- and 16-doxyl stearic acids) were used in depth-dependent fluorescence quenching experiments. The results obtained show that monomeric nystatin is anchored at the phospholipid/water interface and suggest that nystatin oligomerization is accompanied by its insertion into the membrane. Globally, the experimental data was quantitatively described by a cooperative partition model which assumes that monomeric nystatin molecules partition into the lipid bilayer surface and reversibly assemble into aggregates of 6 +/- 2 antibiotic molecules.     

Affinity purification of lipid vesicles

We present a novel column chromatography technique for recovery and purification of lipid vesicles, which can be extended to other macromolecular assemblies. This technique is based on reversible binding of biotinylated lipids to monomeric avidin. Unlike the very strong binding of biotin and biotin-functionalized molecules to streptavidin, the interaction between biotin-functionalized molecules and monomeric avidin can be disrupted effectively by ligand competition from free biotin. In this work, biotin-functionalized lipids (biotin-PEG-PE) were incorporated into synthetic lipid vesicles (DOPC), resulting in unilamellar biotinylated lipid vesicles. The vesicles were bound to immobilized monomeric avidin, washed extensively with buffer, and eluted with a buffer supplemented with free biotin. Increasing the biotinyl lipid molar ratio beyond 0.53% of all lipids did not increase the efficiency of vesicle recovery. A simple adsorption model suggests 1.1 x 10(13) active binding sites/mL of resin with an equilibrium binding constant of K = 1.0 x 10(8) M(-1). We also show that this method is very robust and reproducible and can accommodate vesicles of varying sizes with diverse contents. This method can be scaled up to larger columns and/or high throughput analysis, such as a 96-well plate format.     

Supramolecular structure of self-assembling alamethicin analog studied by ESR and PELDOR

Three analogs of alamethicin F50/5, labelled with the TOAC (='2,2,6,6-tetramethylpiperidin-1-oxyl-4-amino-4-carboxylic acid') spin label at positions 1 (Alm1), 8 (Alm8), and 16 (Alm16), resp., were studied by Electron-Spin-Resonance (ESR) and Pulsed Electron-Electron Double-Resonance (PELDOR) techniques in solvents of different polarity to investigate the self-assembly of amphipathic helical peptides in membrane-mimicking environments. In polar solvents, alamethicin forms homogeneous solutions. In the weakly polar chloroform/toluene 1 : 1 mixture, however, this peptide forms aggregates that are detectable at 293 K by ESR in liquid solution, as well as by PELDOR in frozen, glassy solution at 77 K. In liquid solution, free alamethicin molecules and their aggregates show rotational-mobility correlation times tau(r) of 0.87 and 5.9 ns, resp. Based on these values and analysis of dipole-dipole interactions of the TOAC labels in the aggregates, as determined by PELDOR, the average number N of alamethicin molecules in the aggregates is estimated to be less than nine. A distance-distribution function between spin labels in the supramolecular aggregate was obtained. This function exhibits two maxima: a broad one at a distance of 3.0 nm, and a wide one at a distance of ca. 7 nm. A molecular-dynamics (MD)-based model of the aggregate, consisting of two parallel tetramers, each composed of four molecules arranged in a 'head-to-tail' fashion, is proposed, accounting for the observed distances and their distribution.     

Amphiphilic CCK peptides assembled in supramolecular aggregates: structural investigations and in vitro studies

Supramolecular aggregates obtained by self-aggregation of five new cationic amphiphilic CCK8 peptides have been obtained in water solution and characterized for: (i) aggregate structure and stability; (ii) CCK8 peptide conformation and bioavailability on the external aggregate surface; and (iii) for their cell binding properties. The cationic amphiphilic CCK8 peptides self-aggregate giving a combination of liposomal and micelle structures, with radii ranging between ~60 nm and ~90 nm, and between ~5 and ~10 nm, respectively. The presence of CCK8 peptide well-exposed on the aggregate surface is demonstrated by fluorescence measurements. Peptide conformation changes in the five supramolecular aggregates: the CCK8 conformational behaviour is probably induced by the presence of three charged lysine residues close to the bioactive peptide sequence. Only aggregates in which the CCK8 peptide presents a structural arrangement similar to that found for the same peptide in DPC micelles give promising binding properties to CCK2-R receptors overexpressed by transfected A431 cells. Chemical modifications on the CCK8 N-terminus seem to play an important role in stabilizing the peptide active conformation, either when the peptide derivative is in monomeric or in aggregate form. For their easy preparation procedures and their binding properties, supramolecular aggregates based on cationic peptide amphiphiles can be considered as promising candidates for target selective drug carriers on cancer cells.     

Thermodynamics and kinetics of co-operative protein-nucleic acid binding: I. General aspects of analysis of data

The process under consideration is the binding of a ligand to a linear polymer of equivalent subunits such that each bound molecule of ligand occupies n subunits. Interactions between bound ligand molecules are also considered. Some useful points regarding the evaluation of raw data without recourse to any specific binding mechanism are discussed first. For a treatment in terms of appropriate thermodynamic parameters a simple model is examined in greater detail. It assumes that interactions are limited to those between ligands bound to nearest-neighbour positions on the polymer.Exact expressions for some basic binding properties of this model at equilibrium are developed. The relations can be considerably simplified in the case of pronounced positive co-operativity which is frequently encountered in practice. Appropriate plots of the data to test the model and to evaluate its parameters are proposed.A simple but consistent kinetic scheme is also introduced. It allows calculation of relaxation times as they can be measured by means of special techniques.     

Recruiting monomer for dimer formation: resolving the antagonistic mechanisms of novel immune check point inhibitors against Programmed Death Ligand-1 in cancer immunotherapy

The design of small molecule antagonists against Programmed Death Ligand-1 (PD-L1) has been the recent highlight of the immune checkpoint blockade therapy. This interventive approach has been potentiated by the development of BMS compounds; BMS-1001 and BMS-1166, which exert their therapeutic activities by inducing dimerisation of PD-L1; a molecular mechanism that has remained unclear. For the first time, we resolve the dynamical events that underlie the antagonistic mechanisms of BMS-1001 and BMS-1166 when bound to PD-L1 using an all-atom molecular dynamics (MD) simulations approach and free binding energy Molecular Mechanics/Poisson-Boltzmann Surface Area (MM/PBSA) calculations. Time-scale dynamical findings revealed that upon binding a PD-L1 monomer, the BMS-compounds gradually facilitated the ‘inbound’ motion of another PD-L1 monomer in the same conformational phase space up till dimer formation. Moreover, the non-liganded PD-L1 monomer exhibited the highest structural flexibility and atomistic motions relative to the BMS-liganded monomer as revealed by post-MD trajectory analyses using root mean square deviation (RMSD) and root mean square fluctuations (RMSF) parameters. Trajectory investigations into ligand motions also revealed that the BMS compounds exhibited mechanistic transitions from the monomeric binding site (monomer A) where they were initially bound, to the second monomeric site (monomer B) where they were strongly bound, followed by eventual high-affinity interactions at the tunnel-like binding cleft formed upon the dimerisation of both PD-L1 monomers. These findings present a model that describes the mechanism by which the BMS compounds induce PD-L1 dimerisation and could further enhance the design of highly selective and novel monomeric recruiters of PD-L1 in cancer immunotherapy.     

Polymer-mediated electrostatic interactions between charged lipid assemblies and electrolyte solutions: a tentative model of the polyethylene glycol-induced cell fusion

We developed a theoretical model to investigate the interaction between charged lipid aggregates and a water solution containing ions and uncharged polymers. The local concentration of ions and polymer chains around the lipid aggregate have been treated as variational parameters which can be found by minimizing the total energy of the system. We divided the energy into the following main contributions: (a) Solvation energy of the ions. This depends on the local polymer concentration through the variation of the solvent dielectric properties. (b) Ions-lipid aggregate interactions. These depend on the local concentrations both of the ion cloud and polymer chains. (c) Conformational energy of the polymer. This term is related to the inhomogeneous spatial density of the polymer segments. Any direct interaction between the charged lipid surface and the polymer coils has been intentionally neglected. The minimization procedure leads to a non-linear Poisson-Boltzmann equation coupled with a non-linear algebraic equation describing the polymer distribution. The solution of the above system allows one to calculate the ions and polymer spatial distribution around the lipid aggregate. The knowledge of such parameters is useful to predict the effect of non-ionic polymers on the structure and properties of lipid assemblies such as the mean area per lipid molecule, the aggregation number, the critical micellar concentration and the formation of immiscibility gaps in mixed lipid systems. A possible involvement of these parameters into the fusion process between lipid vesicles is discussed.