Scaling Law of Poly(ethylene oxide) Chain Permeation through a Nanoporous Wall

Molecular localization and exchange kinetics in pharmaceutical liposome and mRNA lipoplex nanoparticle products determined by small angle X-ray scattering and pulsed field gradient NMR diffusion measurements

We have used pulsed field gradient (PFG)-NMR diffusion experiments, also known as DOSY, in combination with small angle X-ray scattering measurements to investigate structure and molecular exchange dynamics between pharmaceutical lipid nanoparticles and the bulk phase. Using liposomes and lipoplexes formed after complexation of the liposomes with messenger mRNA as test systems, information on dynamics of encapsulated water molecules, lipids and excipients was obtained. The encapsulated fraction, having a diffusivity similar to that of the liposomes, could be clearly identified and quantified by the NMR diffusion measurements. The unilamellar liposome membranes allowed a fast exchange of water molecules, while sucrose, used as an osmolyte and model solute, showed very slow exchange. Upon interactions with mRNA a topological transition from a vesicular to a lamellar organization took place, where the mRNA was inserted in repeating lipid bilayer stacks. In the lipoplexes, a small fraction of tightly bound water molecules was present, with a diffusivity that was influenced by the additional presence of sucrose. This extended information on dynamic coherencies inside pharmaceutical nanoparticle products, provided by the combined application of SAXS and PFG-NMR diffusion measurements, can be valuable for evaluation of quality and comparability of nanoscaled pharmaceuticals.

Translocation of non-interacting heteropolymer protein chains in terms of single helical propensity and size

In this work we present an analytical framework to calculate the average translocation time τ required for an ideal proteinogenic polypeptide chain to cross over a small pore on a membrane. Translocation is considered to proceed as a chain of non-interacting amino acid residues of sequence {X_j} diffuses through the pore against an energy barrier Δℱ, set by chain entropy and unfolding-folding energetics. We analyze the effect of sequence heterogeneity on the dynamics of translocation by means of helical propensity of amino acid residues. In our calculations we use sequences of fifteen well-known proteins that are translocated which span two orders of magnitude in size according to the number of residues N. Results show non-symmetric free energy barriers as a consequence of sequence heterogeneity, such asymmetry in energy may be useful in differentiated directions of translocation. For the fifteen polypeptide chains considered we found conditions when sequence heterogeneity has not a significant effect on the time scale of translocation leading to a scaling law τ ∝ N^ν, where ν ∼ 1.6 is an exponent that holds for most ground state energies. We also identify conditions when sequence heterogeneity has a great impact on the time scale of translocation, in consequence, no more scaling laws for τ there exist.

Jump transition observed in translocation time for ideal poly-X proteinogenic chains as a result of competing folding and anchoraging contributions

In this work we analyze the translocation of homopolymer chains poly-X, where X represents any of the 20 naturally occurring amino acid residues, in terms of size N and single-helical propensity ω. We provide an analytical framework to calculate both the free energy F of translocation and the translocation time τ as a function of chain size N, energies U and ε of the unfolded and folded states, respectively. Our results show that free energy F has a characteristic bell-shaped barrier as function of the percentage of monomers translocated. Inclusion of single-helical propensity ω associated to monomer X and chain's native energy ε in the translocation model increases the energy barrier ΔF up to one order of magnitude as compared with the well-known Gaussian chain model. Computation of the mean first-passage time as function of chain size N shows that the translocation time τ exhibits a significant jump of several orders of magnitude at a critical chain size N. This jump markedly slows down translocation of chains larger than N. Existence of the transition jump of τ has been observed experimentally at least in poly(ethylene oxide) chains [R. P. Choudhury, P. Galvosas, and M. Schönhoff, J. Phys. Chem. B 112, 13245 (2008)]JPCBFK1520-610610.1021/jp804680q. Our results suggest the transition jump of τ as a function of N may be a very well spread feature throughout translocation of poly-X chains.

Size-selective permeation of water-soluble polymers through the bilayer membrane of cyclodextrin vesicles investigated by PFG-NMR

Cyclodextrin vesicles (CDVs) consist of a bilayer of amphiphilic cyclodextrins (CDs). CDVs exhibit CD cavities at their surface that are able to recognize and bind hydrophobic guest molecules via size-selective inclusion. In this study, the permeability of α- and β-CDVs is investigated by pulsed field gradient-stimulated echo (PFG-STE) nuclear magnetic resonance. Diffusion experiments with water and two types of water-soluble polymers, polyethylene glycol (PEG) and polypropylene glycol (PPG), revealed three main factors that influence the exchange rate and permeability of CDVs. First, the length of the hydrophobic chain of the CD amphiphile plays a crucial role. Reasonably, vesicles consisting of amphiphiles with a longer aliphatic chain are less permeable since both membrane thickness and melting temperature T(m) increase. Second, the exchange rate through the bilayer membrane depends on the molecular weight of the polymer and decreases with increasing weight of the polymer. Most interestingly, a size-selective distinction of permeation due to the embedded CDs in the bilayer membrane was found. The mechanism of permeation is shown to occur through the CD cavity, such that depending on the size of the cavity, permeation of polymers with different cross-sectional diameters takes place. Whereas PPG permeates through the membrane of β-CD vesicles, it does not permeate α-CD vesicles.

Adsorption of aromatic alcohols into the walls of hollow polyelectrolyte capsules

Hollow polyelectrolyte microcapsules prepared by layer-by-layer assembly of polyelectrolytes onto colloidal particles and subsequent core removal are investigated concerning their uptake capacity and the exchange dynamics of aromatic alcohols, that is, hydroquinone and phenol. Diffusion coefficients of the alcohols in the dispersion are determined by pulsed field gradient (PFG) NMR spectroscopy. In addition, spin relaxation rates are determined, which characterize the molecular dynamics. Alcohol molecules in capsule dispersions occur as a bound fraction that is adsorbed to the wall and as a free fraction in the aqueous phase. According to a previously established procedure, from diffusion and relaxation data, population fractions and exchange times are calculated using a two-site model. The adsorbed amounts are well described by Langmuir isotherms, where for hydroquinone as compared to phenol the equilibrium constant is about a factor of 3 larger, and the maximum adsorbed amount about a factor of 3 lower. This indicates the relevance of H bonds for adsorption as well as size effects controlling the uptake capacity of the wall for small molecules.

Mechanism of surface molecular imprinting in polyelectrolyte multilayers

The combination of Layer-by-Layer (LbL) self-assembly of oppositely charged polymers with the concept of molecular imprinting in polymers promises faster loading/unloading as compared to bulk systems. Here, we monitor the construction of LbL self-assembled polyelectrolyte multilayers (PEM) including template molecules and the binding and release dynamics of the guest molecules in the imprinted sites employing a quartz crystal microbalance with dissipation measurement (QCM-D). It is found that pH-dependent removal and rebinding of the template leads to a simultaneous swelling of the film. Separating the swelling from the template kinetics is a task which can be carried out by careful interpretation of the obtained QCM-D data. Considering correlated frequency and dissipation changes, evidence is found that the film features binding sites that can be loaded with the template such that the major part of template uptake is due to selective binding into imprinted sites. Template uptake is causing an enhanced cross-linking, as monitored by a reduced dissipation. The mechanism of reversible template uptake and release is shown to be based on the charge equilibrium in the film, which is manipulated by pH variation.

Dynamics of water in polyelectrolyte multilayers: restricted diffusion and cross-relaxation

The diffusion properties of water in polyelectrolyte multilayers (PEM) are investigated by pulsed field gradient diffusion NMR. The dependence of the mean-square displacement on the observation time does not agree to Gaussian diffusion, suggesting restricted diffusion in a porous structure. However, the extraction of a pore size in a model of restricted diffusion yields a very large pore size of several micrometers. The additional influence of cross-relaxation of water and polymer spins is investigated in Goldman-Shen experiments. These demonstrate a strong influence of cross-relaxation rates on diffusion echo decays, such that pore sizes obtained from the model of restricted diffusion have to be corrected. Corrected pore sizes are about 4 microm and reflect the existence of domains of lower polymer density and thus faster water diffusion. These heterogeneities occur upon PEM preparation at high salt content for large layer numbers and are detected in the surface morphology, too.