Macromolecular structure and solute diffusion in membranes: An overview of recent theories

Stimulus-responsive hydrogels: Theory, modern advances, and applications

Over the past century, hydrogels have emerged as effective materials for an immense variety of applications. The unique network structure of hydrogels enables very high levels of hydrophilicity and biocompatibility, while at the same time exhibiting the soft physical properties associated with living tissue, making them ideal biomaterials. Stimulus-responsive hydrogels have been especially impactful, allowing for unprecedented levels of control over material properties in response to external cues. This enhanced control has enabled groundbreaking advances in healthcare, allowing for more effective treatment of a vast array of diseases and improved approaches for tissue engineering and wound healing. In this extensive review, we identify and discuss the multitude of response modalities that have been developed, including temperature, pH, chemical, light, electro, and shear-sensitive hydrogels. We discuss the theoretical analysis of hydrogel properties and the mechanisms used to create these responses, highlighting both the pioneering and most recent work in all of these fields. Finally, we review the many current and proposed applications of these hydrogels in medicine and industry.

Micropollutant sorption to membrane polymers: a review of mechanisms for estrogens

Organic micropollutants such as estrogens occur in water in increasing quantities from predominantly anthropogenic sources. In water such micropollutants partition not only to surfaces such as membrane polymers but also to any other natural or treatment related surfaces. Such interactions are often observed as sorption in treatment processes and this phenomenon is exploited in activated carbon filtration, for example. Sorption is important for polymeric materials and this is used for the concentration of such micropollutants for analytical purposes in solid phase extraction. In membrane filtration the mechanism of micropollutant sorption is a relatively new discovery that was facilitated through new analytical techniques. This sorption plays an important role in micropollutant retention by membranes although mechanisms of interaction are to date not understood. This review is focused on sorption of estrogens on polymeric surfaces, specifically membrane polymers. Such sorption has been observed to a large extent with values of up to 1.2 ng/cm(2) measured. Sorption is dependent on the type of polymer, micropollutant characteristics, solution chemistry, membrane operating conditions as well as membrane morphology. Likely contributors to sorption are the surface roughness as well as the microporosity of such polymers. While retention-and/or reflection coefficient as well as solute to effective pore size ratio-controls the access of such micropollutants to the inner surface, pore size, porosity and thickness as well as morphology or shape of inner voids determines the available area for sorption. The interaction mechanisms are governed, most likely, by hydrophobic as well as solvation effects and interplay of molecular and supramolecular interactions such as hydrogen bonding, π-cation/anion interactions, π-π stacking, ion-dipole and dipole-dipole interactions, the extent of which is naturally dependent on micropollutant and polymer characteristics. Systematic investigations are required to identify and quantify both relative contributions and strength of such interactions and develop suitable surface characterisation tools. This is a difficult endeavour given the complexity of systems, the possibility of several interactions taking place simultaneously and the generally weaker forces involved.

Hydrogels in regenerative medicine

Hydrogels, due to their unique biocompatibility, flexible methods of synthesis, range of constituents, and desirable physical characteristics, have been the material of choice for many applications in regenerative medicine. They can serve as scaffolds that provide structural integrity to tissue constructs, control drug and protein delivery to tissues and cultures, and serve as adhesives or barriers between tissue and material surfaces. In this work, the properties of hydrogels that are important for tissue engineering applications and the inherent material design constraints and challenges are discussed. Recent research involving several different hydrogels polymerized from a variety of synthetic and natural monomers using typical and novel synthetic methods are highlighted. Finally, special attention is given to the microfabrication techniques that are currently resulting in important advances in the field.

Mathematical modeling of molecular diffusion through mucus

The rate of molecular transport through the mucus gel can be an important determinant of efficacy for therapeutic agents delivered by oral, intranasal, intravaginal/rectal, and intraocular routes. Transport through mucus can be described by mathematical models based on principles of physical chemistry and known characteristics of the mucus gel, its constituents, and of the drug itself. In this paper, we review mathematical models of molecular diffusion in mucus, as well as the techniques commonly used to measure diffusion of solutes in the mucus gel, mucus gel mimics, and mucosal epithelia.

Release and Diffusion Studies of Hydrogels Based on Itaconic Acid

Controlled release studies of drugs (theophylline (TH), fenethylline hydrochloride (FE) and gentamicin sulphate (GS)) from pH sensitive poly(2-hydroxyethyl methacrylate/itaconic acid) (P(HEMA/IA)) hydrogels obtained by gamma irradiation were carried out to investigate transport phenomena. Drug behavior and release profiles were analyzed using the restriction coefficient combining the influence of network structure and the size of the drug on release and transport properties. The results demonstrated that the ratio of drug radius to polymer pore size and drugpolymer interactions were dominant factors in hindering the diffusion process. The diffusivity of a drug through the hydrogels decreases with the size of the drug molecules and with the decrease in gel pore size. The diffusion equations for used drugs explain drug transport in hydrogels.

Dynamic model of biomolecular diffusion through two-dimensional nanochannels

The molecular diffusion dynamics in unconstrained cases has been studied thoroughly during the last two centuries, leading to the well-known Fick's diffusion laws and Stokes-Einstein equation. More recently, a new impulse to the study of this topic has been provided by the necessity of understanding the behavior of solute particles in the presence of environmental constraints of size comparable to the molecular dimensions. In this work, we investigate the diffusion kinetics of biomolecules, such as bovine serum albumin, interferon, and lysozyme, through microfabricated silicon membranes, having pores of nanometric size in only one dimension, in the range from few to tens of nanometers (the other dimensions are in the mum range). Experimental results show that the diffusion profiles, in some cases, deviate substantially from those predicted by Fick's laws. In light of these results, a new diffusion mathematical model is proposed, which can reasonably explain the phenomenon and, at the same time, recovers the classical diffusion laws in the unconstrained case. Moreover, a physical description, derived from van der Waals equation of state, is presented, and it is compared with the results obtained by the mathematical model.

Arabinoxylan Gels: Impact of the Feruloylation Degree on Their Structure and Properties

Arabinoxylan (AX) samples of decreasing ferulic acid (FA) contents were chemically prepared from water-extractable wheat arabinoxylans without affecting their other structural properties. Gels were obtained from these partially feruloylated WEAX (PF-WEAX) by enzymatic covalent cross-linking of FA leading to the formation of diferulic (di-FA) and tri-ferulic acid (tri-FA). WEAX gelling ability was found related to the WEAX FA content whereas the gel structure and properties depended on the density of newly formed covalent cross-links. FA content of WEAX ranging from 1.4 to 2.3 microg/mg AX gave gels with di-FA cross-links contents from 0.20 to 0.43 microg/mg AX and G' values from 5 to 44 Pa. For WEAX gels with initial FA contents from 1.6 to 2.3 microg/mg AX, average mesh size ranging from 331 to 263 nm were calculated from swelling experiments. Cross-linking densities of gels, determined from swelling experiments, were higher than those that could be theoretically estimated from the di-FA and tri-FA content of WEAX gels. This result suggests that, in addition to di-FA and tri-FA, higher ferulate cross-linking and physical entanglements would contribute to the final WEAX gel structure.

Studies in formulation and pharmacotechnical evaluation of controlled release transdermal delivery system of bupropion

The objective of the present study was to design and evaluate unilaminate transdermal adhesive matrix systems capable of diffusing bupropion base at a constant rate over an extended period of time as an alternative route of administration. Unilaminate transdermal adhesive matrices have been fabricated with different concentrations of Eudragit E as the adhesive and rate-controlling polymer. The in vitro release and epidermal flux through human cadaver skin were studied. The release of drug from the matrices obeyed zero order release kinetics (r2 = 0.9810 to 0.9960). The delivery rate of bupropion ranged from 10.5 mg to 31.4 mg per day from a 3.14 cm2 area of matrix. The relation between concentration of bupropion base in matrix and epidermal flux, concentration of drug in matrix, and epidermal adsorption of bupropion during diffusion follow hyperbolic fashion. Triethylcitrate (TEC) and dibutylphthalate (DBP) have no influence on the diffusion of bupropion through human cadaver skin when used as plasticizers. Incorporation of succinic acid in the adhesive matrix retarded diffusion due to the formation of rigid cross linking of the polymer, while propylene glycol and myristic acid, alone or in combination, significantly enhanced the flux of bupropion through human cadaver skin.

Acrylic resins as rate-controlling membranes in novel formulation of a nine-day 17beta-estradiol transdermal delivery system: in vitro and release modifier effect evaluation

The feasibility of transdermal controlled delivery system of 17beta-estradiol was investigated by conducting in vitro release studies. Several new 17beta-estradiol unilaminate adhesive devices capable of releasing 17beta-estradiol in a controlled fashion over a 24-h, 36-h, 96-h, 104-h, 168-h, and 216-h period have been developed using acrylic resins (Eudragits E100, RSPO, and RLPO) as adhesive and rate-controlling polymers. The in vitro release profiles of 17beta-estradiol from various TDS unilaminate devices were characterized in a new developed dissolution tester vessel (total volume 200 ml), using a new paddle. The release of drug from different formulations was measured by a sensitive high-performance liquid chromatographic (HPLC) method. The release of drug from all prepared adhesive devices seems to obey zero-order kinetics (r > 0.98). The effect of two different plasticizers (acetyltriburyl citrate [ATBC] and triethyl citrate [TEC]) on the release patterns of 17beta-estradiol from TDS formulations was studied, and they were almost identical. The effect of two different release modifiers, propylene glycol (PG) and myristic acid (MA), on the release pattern of 17beta-estradiol from prepared unilaminate devices was evaluated. It was shown that the use of these release modifiers significantly increased the release of 17beta-estradiol from a TDS unilaminate patch. Furthermore, these data clearly demonstrated that the acrylic resins are suitable polymers for the preparation of 17beta-estradiol TDS adhesive devices.

FTIR spectroscopic investigation and modeling of solute/polymer interactions in the hydrated state

Attenuated total reflectance infrared spectroscopy was used to investigate possible interactions during transport of oxprenolol x HCl, bovine serum albumin, alpha-chymotrypsin, and fibrinogen through poly(acrylic acid) and its random copolymeric gels. Carbonyl and carboxylate ion peak shifts were used to identify drug/gel binding due to electrostatic and hydrogen bond interactions between the polymer carrier and the drugs tested. These findings were used to interpret the decrease in calculated diffusion coefficients of drugs diffusing through these gels and the associated hindering of drug transport. A model was developed to analyze this transport process as a function of the binding heat of the drug with the polymer.

Effect of fractal dimension on drug permeation through porous ethylcellulose films

Fractal geometry was applied to quantify the complexity of an internal structure of a porous film prepared with ethylcellulose (EC) and diethylphthalate (DEP) as a plasticizer. EC was dissolved together with DEP in a water-ethanol mixture solution, and then evaporated on Teflon petri dishes in order to make porous EC films. Boundary lines of the porous structures in the EC film cross section were taken by a confocal laser microscope as image data, and these images were fed into a computer to estimate the fractal dimension. The porous structure in EC film was observed to be a typical fractal and its complexity was quantified as a non-integral fractal dimension. No clear correlation was observed between the fractal dimension and the porosity of EC films, suggesting that they were mutually independent parameters representing the porous structure in the EC films. The permeation of theophylline through the EC films was determined by using two-chamber diffusion cells. A fairly good relationship between the permeability coefficient of theophylline and the fractal dimensions was observed, suggesting the usefulness of the fractal dimension as a novel parameter for evaluating drug permeation through porous films.

A linear theory of transdermal transport phenomena

A theory of charge, fluid-mass, and solute (including macromolecular) transport through porous media is applied to describe transport phenomena across the external layer of mammalian skin. Linear relationships are derived between transport fluxes and applied fields. These relationships introduce six effective transdermal transport coefficients. Formulas for each of these coefficients are provided. The practical relevance of these parameters is emphasized in the specific context of transdermal drug delivery. By employing typical physiological values for the various geometrical and physicochemical parameters that appear in the formulas for the transdermal transport coefficients, predictions are made for transport rates of charge, fluid mass, and solute species across a uniform-thickness skin sample contained within a diffusion-cell apparatus. These results are used to explore transdermal phenomena involving forced convection, current flow, electroosmosis, iontophoresis, and molecular diffusion (including convective dispersion). Comparisons with existing transdermal drug delivery data are made. On the basis of these comparisons, the theory suggests that transdermal transport in the presence of an electrical field may occur through corneocytes of the stratum corneum. The theory confirms the importance of a shunt route for small ion transport, as well as an intercellular route of transport for passive diffusion of noncharged substances. These latter conclusions, also based on comparisons with experimental data, are consistent with previous statements in the literature. A new form of solute transport enhancement, termed transdermal convective dispersion, is included in the theory, and methods for its measurement are described. Generalizations and future applications of the theory are discussed.

Dextran permeation through poly(N-isopropylacrylamide) hydrogels

The permeation of macromolecules such as fluoroescein-labeled dextran fractions through thermally reversible hydrogels has been investigated. A permeation model has been formulated, which takes into account hydrogel porosity and tortuosity as well as the combined effect of a geometric restraint for a relatively large solute molecule at a pore entrance and the friction between solute molecules moving through the pores and pore walls. Based on this model, we have estimated the tortuosity and average pore size of a swollen hydrogel, poly(N-isopropylacrylamide) [poly(NIPAAm)] and a swollen heterogel, poly(N-isopropylacrylamide-co-vinyl-terminated dimethylsiloxane) [poly(NIPAAm-co-VTPDMS)]. The permeation data for dextran molecules up to the size of 43.5 A in radius show good agreement with the values predicted from the model.

Accessibility factors for diffusion-controlled drug delivery systems

The idea of accessibility factors or parameters is introduced to describe the ability of a planar or spherical controlled-release system to deliver a specific drug (with a known diffusion coefficient) within a desired period of time. The accessibility factors are the maximum and minimum values of the drug diffusion coefficient, the geometric dimensions of the system, and the release time. The solutions of the general diffusion equations are plotted as generalized diffusional diagrams, indicating the accessibility region for drug delivery. Deviations from the quasi-equilibrium conditions can be represented in these diagrams.