Finite element analysis of diffusional drug release from complex matrix systems. II. Factors influencing release kinetics

Compartmental modeling of skin absorption and desorption kinetics: Donor solvent evaporation, variable diffusion/partition coefficients, and slow equilibration process within stratum corneum

This work expands the recently developed compartmental model for skin transport to model variable diffusion and/or partition coefficients, and the presence of slow equilibration/slow binding kinetics within stratum corneum. The model was validated by comparing it with the diffusion model which was solved numerically using the finite element method. It was found that the new compartmental model predictions agreed well with that of the diffusion model, providing a sufficient number of compartments was used. The compartmental model was applied to two previously published experimental data sets: water penetration and desorption data and the finite dose dermal penetration of testosterone. Significant improvement of the fitting quality for all these data sets was achieved using the compartmental model.

Triggered and controlled release of bioactives in food applications

Bioactive compounds (e.g., nutraceuticals, micronutrients, antimicrobial, antioxidant) are added to food products and formulations to enhance sensorial/nutritional attributes and/or shelf-life. Many of these bioactives are susceptible to degradation when exposed to environmental and processing factors. Others involve in undesirable interactions with food constituents. Encapsulation is a useful tool for addressing these issues through various stabilization mechanisms. Besides protection, another important requirement of encapsulation is to design a carrier that predictably releases the encapsulated bioactive at the target site to elicit its intended functionality. To this end, controlled release carrier systems derived from interactive materials have been developed and commercially exploited to meet the requirements of various applications. This chapter provides an overview on basic controlled and triggered release concepts relevant to food and active packaging applications. Different approaches to encapsulate bioactive compounds and their mode of release are presented, from simple blending with a compatible matrix to complex multiphase carrier systems. To further elucidate the mass transport processes, selected diffusion and empirical release kinetic models are presented, along with their brief historical significance. Finally, interactive carriers that are responsive to moisture, pH, thermal and chemical stimuli are presented to illustrate how these triggered release mechanisms can be useful for food applications.

An Inverse Problem Solution Scheme for Solving the Optimization Problem of Drug-Controlled Release from Multilaminated Devices

The optimization problem of drug release based on the multilaminated drug-controlled release devices has been solved in this paper under the inverse problem solution scheme. From the viewpoint of inverse problem, the solution of optimization problem can be regarded as the solution problem of a Fredholm integral equation of first kind. The solution of the Fredholm integral equation of first kind is a well-known ill-posed problem. In order to solve the severe ill-posedness, a modified regularization method is presented based on the Tikhonov regularization method and the truncated singular value decomposition method. The convergence analysis of the modified regularization method is also given. The optimization results of the initial drug concentration distribution obtained by the modified regularization method demonstrate that the inverse problem solution scheme proposed in this paper has the advantages of the numerical accuracy and antinoise property.

In vitro and in silico characterization of fibrous scaffolds comprising alternate colistin sulfate-loaded and heat-treated polyvinyl alcohol nanofibrous sheets

A multilayer mat for dispensing colistin sulfate through a body surface was prepared by electrospinning. The fabricated system comprised various polyvinyl alcohol fibrous layers prepared with or without the active ingredient. One of the electrospun layers contained water-soluble colistin sulfate and the other was prepared from the same polymer type and composition without the active drug and was finally heat-treated. The heat treatment modified the supramolecular structure and conferred the polymer nanofibre with the rate-controlling function. The microstructure of different layers was tracked by positron annihilation lifetime spectroscopy, and detailed morphological analysis of the fibre mats was performed using a scanning electron microscope. The drug-release profiles of various layer arrangements were studied in relation to their antimicrobial activity. The finite element method was applied to overcome the challenge of diffusion-controlled drug release from multilayer polymer scaffolds. The finite element method was first verified using analytical solutions for a simple arrangement (one drug-loaded swellable fibre and one rate-controlling nonswellable fibre) under perfect sink conditions and in a well-stirred finite volume. The effect of alternate layer arrangements on the drug-release profiles was also investigated to plan for controlled topical drug release from fibrous scaffolds. This design is expected to aid in increasing local effectiveness, thus reducing the systemic loading and the consequent side effects of colistin.

The Use of Cellulose Membrane to Eliminate Burst Release from Intravaginal Rings

Burst release was observed when ethylene vinyl acetate copolymer (EVA) intravaginal rings were tested for progesterone release in our previous work (Helbling et al. Pharm Res. 31(3):795-808, 2014). Burst release is undesirable in controlled delivery devices because release is uncontrollable and higher levels of active pharmaceutical ingredient could lead to the occurrence of adverse effect. The present contribution is about the use of membranes to coat EVA rings to eliminate burst release. Physicochemical state of progesterone in uncoated rings and the solubility and diffusion coefficient in membrane were studied. Hormone delivery from several rings of different sizes was compared. A mathematical model was used to analyze the effects of membrane properties on delivery rate. No chemical interactions were detected between hormone and polymer. Hormone was mainly forming amorphous aggregates inside rings, and migration to membrane was not observed during storage. Diffusion coefficient was smaller in membrane (∼10(-8) cm(2) s(-1)) than in matrix (∼10(-7) cm(2) s(-1)). Zero-order release kinetics were obtained for coated rings, and release rate decreases as the thickness of the coat increases. Cellulose membrane successfully eliminates burst release and controls the delivery from EVA rings. The equations developed can be used to determine the appropriate coat thickness to produce specific release rate.

Numerical modelling and experimental investigation of drug release from layered silicone matrix systems

Medical devices and polymeric matrix systems that release drugs or other bioactive compounds are of interest for a variety of applications. The release of the drug can be dependent on a number of factors such as the solubility, diffusivity, dissolution rate and distribution of the solid drug in the matrix. Achieving the goal of an optimal release profile can be challenging when relying solely on traditional experimental work. Accurate modelling complementing experimentation is therefore desirable. Numerical modelling is increasingly becoming an integral part of research and development due to the significant advances in computer simulation technology. This work focuses on numerical modelling and investigation of multi-layered silicone matrix systems. A numerical model that can be used to model multi-layered systems was constructed and validated by comparison with experimental data. The model could account for the limited dissolution rate and effect of the drug distribution on the release profiles. Parametric study showed how different factors affect the characteristics of drug release. Multi-layered medical silicone matrices were prepared in special moulds, where the quantity of drug in each layer could be varied, and release was investigated with Franz-diffusion cell setup. Data for long-term release was fitted to the model and the full depletion of the system predicted. The numerical model constructed for this study, whose input parameters are the diffusion, effective dissolution rate and dimensional solubility coefficients, does not require any type of steady-state approximation. These results indicate that numerical model can be used as a design tool for development of controlled release systems such as drug-loaded medical devices.

Formulation of a modified release metformin. HCl matrix tablet: influence of some hydrophilic polymers on release rate and in-vitro evaluation

Metformin hydrochloride is an antidiabetic agent which improves glucose tolerance in patients with type 2 diabetes and reduces basal plasma levels of glucose. In this study, a simplex centroid experimental design with 69 runs was used to select the best combination of some hydrophilic polymers that rendered a 24 h in-vitro release profile of metformin.HCl. The Korsmeyer-Peppas model was used to model the dissolution profiles since it presented the best fit to the experimental data. Further, a cubic model predicted the best formulation of metformin.HCl containing polyvinyl pyrrolidone, ethyl cellulose, hydroxypropyl methyl cellulose, carrageenan, sodium alginate, and gum arabic at 6.26, 68.7, 6.26, 6.26, 6.26 and 6.26 % levels, respectively. The validation runs confirmed the accuracy of the cubic model with six components for predicting the best set of components which rendered a once-a-day modified release hydrophilic matrix tablet in compliance with the USP specifications.

A promising drug controlled-release system based on diacetylene/phospholipid polymerized vesicles

A novel polymerized vesicular carrier loaded with paclitaxel was developed by introducing the ultraviolet (UV) cross-linkable 10,12-pentacosadiynoic acid (PCDA) into bilayered phospholipid vesicles with the purpose of improving the physicochemical stability as well as the controlled-release property of liposomes. Dynamic light scattering (DLS) and transmission electron microscopy (TEM) results revealed the enhanced stability of PCDA-polymerized vesicles against Triton X-100. In particular, alteration in PCDA/phospholipids ratios and UV-irradiation time can modulate the cumulative paclitaxel released. For instance, vesicles composed of phospholipids only released 98.0 +/- 2.1% of paclitaxel within 24 h. Over the same time period, 72.0 +/- 5.8%, 43.9 +/- 6.5%, and 20.1 +/- 5.4% of paclitaxel was released from polymerized PCDA/phospholipid vesicles at molar ratios of 1:3, 1:1, and 3:1, respectively. Likewise, by increasing the UV-irradiation time from 20 to 40 min, the cumulative release of paclitaxel from polymerized PCDA/phospholipid vesicles at molar ratio of 1:1 decreased from 90.5 +/- 3.7% to 37.6 +/- 2.3% over a time period of experimental observation of 24 h. The influences of vesicle composition (i.e., PCDA/phospholipids ratio) and UV-irradiation time on the release rates of paclitaxel were further examined by finite element (FE) analyzed using Abaqus. Our results demonstrate that novel polymerized vesicles capable of regulating the release of anticancer drugs such as paclitaxel have been developed.

Percolative drug diffusion from cylindrical matrix systems with unsealed boundaries

Release of NaCl in both the axial and radial directions from cylindrical ethyl cellulose tablets were investigated by the alternating ionic current method. The pore structure of the investigated binary mixtures was examined by mercury porosimetry and scanning electron microscopy, and the nm range fractal surface dimension of tablet pore walls was extracted from krypton gas adsorption isotherms. The drug release was shown to consist of two overlapping processes of which the first was ascribed to dissolution of NaCl close to the tablet boundary followed by subsequent diffusion through a thin ethyl cellulose layer and a second from which a porosity percolation threshold of 0.22 could be extracted. As well, a cross-over to effective-medium behaviour at a porosity of approximately 0.44 was observed. The presented findings showed that drug release from matrix tablets with unsealed tablet walls substantially differs from earlier investigated release processes for which the drug has only been allowed to escape through one of the flat tablet surfaces. Thus, the present study brings forward knowledge important for the tailoring of controlled drug delivery vehicles with optimum release patterns.

Characterizing multilaminated hydrogels with spatially varying network structure and solute loading using confocal laser scanning microscopy

Multilaminated controlled release devices were formed through photopolymerization techniques to produce hydrogels with spatially varying solute loadings and network structures composed of poly(hydroxyl ethyl methacrylate) (PHEMA) and poly(ethylene glycol) (PEG). Using low molecular weight fluorescent dyes as model drugs, the distribution profiles were characterized non-invasively in pseudo-real-time with confocal laser scanning microscopy (CLSM) during release studies. For comparison, theoretical modeling based on Fickian diffusion theory was performed in conjunction with experimental work to identify any deviations from expected behavior and to guide in the development of future devices. In multilaminates composed of only PHEMA, the evolution of dye distribution during release and cumulative release profiles agreed well with theoretically predicted data, indicating continuity of diffusion and insignificant interfacial hindrance between layers. However, in devices composed of alternating layers of PHEMA and PEG, differences from predicted behavior were experimentally observed in both concentration profiles and release rates, suggesting interfacial obstruction of diffusion, possibly due to the formation of interpenetrating networks. Finally, the simultaneous release of two dyes at different rates from a PEG/PHEMA multilaminate was monitored to demonstrate the usefulness of CLSM in understanding the complex temporal changes in solute distributions in gel devices.

Finite element analysis of the release of slowly dissolving drugs from cylindrical matrix systems

Drug release from matrix systems of cylindrical shape is analyzed in detail by using the finite element method. The model used combines the Noyes-Whitney and diffusion equations, and thus takes the effects of a finite dissolution rate into account. The model is valid for all drug solubilities and dissolution rates, and allows accurate predictions of the drug release to be made. Anisotropic drug transport that may result from the manufacturing process is properly accounted for. Model calculations show that a finite dissolution rate may affect the release profile significantly, producing an initial delay. The equivalence between anisotropic release and isotropic release from a matrix with different dimensions is demonstrated. Comparisons are made with the predictions of a recently proposed pseudo-steady state (PSS) analysis of drug release from cylindrical matrices [Y. Zhou, J. S. Chu, T. Zhou, X. Y. Wu, Modeling of dispersed-drug release from two-dimensional matrix tablets, Biomaterials 26 (2005) 945-952]. This comparison reveals that important discrepancies exist between the numerical and analytical results, which are attributed to the simplifying assumption made in the PSS analysis that the region containing solid drug remains cylindrical in shape throughout the release process. The proposed model is shown to describe experimental release data well.

Prediction of kinetics of doxorubicin release from sulfopropyl dextran ion-exchange microspheres using artificial neural networks

The purpose of this work was to develop artificial neural networks (ANN) models to predict in vitro release kinetics of doxorubicin (Dox) delivered by sulfopropyl dextran ion-exchange microspheres. Four ANN models for responses at different time points were developed to describe the release profiles of Dox. Model selection was performed using the Akaike information criterion (AIC). Sixteen data sets were used to train the ANN models and two data sets for the validation. Good correlations were obtained between the observed and predicted release profiles for the two randomly selected validation data sets. The difference factor (f1) and similarity factor (f2) between the ANN predicted and the observed release profiles indicated good performance of the ANN models. The established models were then applied to predict release kinetics of Dox from the microspheres of various initial loadings in media of different ionic strengths and NaCl/CaCl2 ratios. The results suggested that ANN offered a flexible and effective approach to predicting the kinetics of Dox release from the ion-exchange microspheres.

Modeling of dispersed-drug release from two-dimensional matrix tablets

A mathematical model was developed and analytical solutions were obtained for dispersed-drug release from two-dimensional matrix tablets in a perfect sink. This model can be used to describe kinetics of solute release from matrices with isotropic or anisotropic properties. Moving boundaries of dispersed-drug in both radial and axial directions and release kinetics were predicted by the model. Various factors influencing release kinetics were analyzed including the ratio of initial solute loading (C0) to solute solubility (Cs), the anisotropy of the matrix and the aspect ratio of tablet radius to the half-thickness. The model is also applicable to 1-D planar or 1-D cylindrical geometries when R/H is larger than 100 or smaller than 0.01.

A new scleroglucan/borax hydrogel: swelling and drug release studies

The aim of the work was the characterization of a new polysaccharidic physical hydrogel, obtained from Scleroglucan (Sclg) and borax, following water uptake and dimension variations during the swelling process. Furthermore, the release of molecules of different size (Theophylline (TPH), Vitamin B12 (Vit. B12) and Myoglobin (MGB)) from the gel and from the dried system used as a matrix for tablets was studied. The increase of weight of the tablets with and without the loaded drugs was followed together with the relative variation of the dimensions. The dry matrix, in the form of tablets was capable, during the swelling process, to incorporate a relevant amount of solvent (ca. 20 g water/g dried matrix), without dissolving in the medium, leading to a surprisingly noticeable anisotropic swelling that can be correlated with a peculiar supramolecular structure of the system induced by compression. Obtained results indicate that the new hydrogel can be suitable for sustained drug release formulations. The delivery from the matrix is deeply dependent on the size of the tested model drugs. The experimental release data obtained from the gel were satisfactorily fitted by an appropriate theoretical approach and the relative drug diffusion coefficients in the hydrogel were estimated. The release profiles of TPH, Vit. B12 and MGB from the tablets have been analyzed in terms of a new mathematical approach that allows calculating of permeability values of the loaded drugs.

Theoretical analysis of drug release into a finite medium from sphere ensembles with various size and concentration distributions

Release kinetics for heterogeneous sphere ensembles with a dissolved drug, i.e., initial drug loading below or equal to the drug solubility in the matrix, in a finite external medium was modeled with consideration of heterogeneity among and within spheres. Numerical solutions were obtained using the finite element method for sphere ensemble with normal or log-normal distribution of particle size or initial drug loading among spheres. Exact series solutions were derived for ensembles with various initial loading distributions within spheres, namely linear, quadratic, sigmoidal and uniform distribution, using their mean or average radii. Simplified solutions retaining only one term of the series for non-uniform distributions and three terms for uniform distribution were suggested because of their good approximation to the exact solution. The results of finite element analysis showed that the release rate of an ensemble decreased with increasing standard deviation of particle size. Using weight-average radii in the exact solution gave a prediction of release profile closer to that from the actual size distribution than using mean radii. The three non-uniform loading patterns within spheres all showed reduced initial burst and release rate, leading to more steady release rates than uniform loading, among which the sigmoidal distribution offered the best near-zero order release. Non-uniform initial loading among spheres seemed to have insignificant influence on the release profiles. The volume ratio of liquid to a sphere ensemble played an important role in release kinetics. The derived analytical solutions are applicable to multiple spheres or a single sphere in a finite medium or in a perfect sink.

Modeling of drug release from partially coated matrices made of a high viscosity HPMC

A mathematical model able to describe the release kinetics of two model drugs (Diprophylline and Theophylline) from partially coated hydroxypropylmethylcellulose (HPMC, Methocel) K4M) matrices is presented. As solvent interaction with the system and drug release can only take place in one direction, the physical frame to be modeled turns out simpler. The model was developed starting from the established equation describing drug dissolution and taking into account the resistance to drug release given by the presence of a growing gel barrier around a matrix system. The model fits the release data obtained from both series of hydrophilic matrices containing increasing amounts (from 0.2 to 0.8 mass ratio) of the two xanthine derivatives. Differences were found in drug release rate according to the different solubility of the actives. Interestingly, however, there is no further reduction in the outer gel layer permeability when the polymer mass fraction exceeds a certain value, with both Theophylline and Diprophylline systems. Results confirm the importance of the fraction of the glassy/rubbery interface held by the active substance in defining the release rate from hydrophilic systems.

Modeling and analysis of dispersed-drug release into a finite medium from sphere ensembles with a boundary layer

Mathematical models were developed and analytical solutions were derived for describing kinetics of dispersed-drug release into a finite external medium from multi-particulate systems, such as ensembles of matrix spheres and microcapsules with a diffusion boundary layer. The solutions can be used to compute profiles of the moving boundary of a dispersed drug and the amount of drug released for multiparticulate ensembles with various ratios of initial drug loading (C(0)) to drug solubility (C(s)) in a finite to infinite medium. They are also applicable to a single sphere without a boundary layer in a perfect sink. The determinants of release kinetics, such as the liquid volume, the initial drug loading, the boundary layer thickness, and the number of spheres in a population, were analyzed using the derived solutions. The effect of coating thickness and material on the release profiles of microcapsules was studied as well. Criteria were established for finding the conditions when drug release would stall due to saturation of the medium, which can be used to determine suitable liquid volume and time for refreshing the medium.

Theoretical analyses of dispersed-drug release from planar matrices with a boundary layer in a finite medium

Analytical solutions for the kinetics of dispersed-drug release from planar matrices with a boundary layer in a well-stirred finite external medium were derived in a general and a simplified form. The general solutions are applicable for a broad range of the ratio of initial drug loading to drug solubility (e.g. C(0)/C(s)> or =3) till all dispersed drug is dissolved, while the simplified solutions describe the entire release process for higher C(0)/C(s) ratios (e.g. C(0)/C(s)> or =10). As the C(0)/C(s) ratio increased, the general solutions approached the exact solution from the lower bound, and the simplified solution from the upper bound. This property could be useful to find the lower and upper bound of an exact solution for the sink condition without a boundary layer when it is unknown. The current solutions can cover more scenarios than the existing analytical and approximate solutions. The formulas, with explicit expressions, can be readily applied to analyze determinants of release kinetics, including volume of external medium, initial drug loading, and boundary layer thickness. With the criterion established for finding the conditions of drug saturation in a medium, minimal liquid volume and maximal time for refreshing the medium can be determined.

On the optimization of drug release from multi-laminated polymer matrix devices

This work presents a systematic optimization framework to achieve desired release rates in drug delivery devices using multi-laminated layers. A simple mathematical model is used to describe the transient mass transfer between successive layers, laminated together to form matrices with different initial concentrations, drug diffusivities and thickness. First, an efficient analytical-based optimization approach is investigated to define the optimal nonuniform initial drug distribution for constant diffusivity profile. The results obtained are in a good agreement with relevant work from the literature resorting to advanced optimal control techniques. Then, a formal dynamic optimization approach is employed, to systematically explore the synergistic benefits when all the available controllable parameters are simultaneously optimized, in order to achieve a drug release profile as close to a desired profile as possible for the entire period of operation. The optimization results lead to significantly improved constant release profiles.

Numerical and experimental investigation of the diffusional release of a dispersed solute from polymeric multilaminate matrices

In the present work the release behavior of special, multilaminate matrix-type polymer systems, is studied both theoretically and experimentally. Two different mathematical models have been employed to describe the release of a dispersed solute from both single- and multilayer matrices. A parameter sensitivity study shows that the incorporation of supersaturated matrices in the formation of multilaminate devices, with a nonuniform initial solute loading, can provide a delivery system with optimized performance compared to monolithic ones. Finally, the findings of this theoretical analysis show good agreement with measurements of the release rates of a model disperse dye from both single- and multilayer matrices.

Theoretical analysis of inward hemispheric release above and below drug solubility

A detailed analysis of inward diffusional drug release from devices with hemispheric and related geometries is presented. When drug is loaded below its solubility, an infinite series describes drug concentration profiles and release kinetics, with an excellent approximation resulting when only one term of this series is retained. A connection between this geometric setting and diffusion in constricted porous domains is pointed out, as is the utility of mean first passage times and mean residence times derived for this model. For the case of drug loaded above its solubility, the pseudosteady state (PSS) approximation of Béchard and McMullen [J. Pharm. Sci. 77 (1988) 222] is compared against numerical results calculated for the full model in which the PSS assumption is removed. A close match is observed. Asymptotic analysis of the PSS expressions shows that the previously used zero-order release assumption is not quite correct, even at later times, and this affects parameter estimation procedures. A comparison between the model of Béchard and McMullen and earlier obtained experimental data [J. Pharm. Sci. 72 (1983) 17] reveals some qualitative discrepancies that are yet to be explained.

In vitro studies and modeling of a controlled-release device for root canal therapy

Endodontic disease is caused primarily by bacteria that interact with periradicular host tissues. Therefore, treatment of endodontic disease aims at the exclusion of bacteria from the root canal system. This work focused on in vitro studies and modeling of a controlled-release device for delivering antimicrobial agents in root canals. A cylindrical, needle-shaped device was prepared consisting of a matrix core and a polymer coating, loaded with 30-45% chlorhexidine (CHX). The composition of the core, a blend of water-permeable polymers, and the thickness of the coating were tailored to impart various release rates. A relatively steady release rate for over 40 days after an initial burst was achieved using a formulation for long-term release, which is desirable for establishing and maintaining the necessary therapeutic levels. Mathematical models were developed for both in vitro and in vivo drug release into a liquid of limited volume, taking into account a moving boundary of the dispersed drug and a time-dependent boundary condition. A concentration-dependent effective diffusion coefficient was used to count increased porosity as the solid drug had dissolved. The finite element method and computer programs were applied to solve the differential equations and predict the in vitro and in vivo release kinetics. The model prediction agreed well with the in vitro experimental data and provided guidance for designing the device for in vivo release in root canals. The result of in vitro antimicrobial tests, performed using a bovine tooth model, suggested that the device was effective in reducing growth of microbes.

The pH-dependent biphasic release of azidothymidine from a layered composite of PVA disks and P(MMA/MAA) spheres

A composite device was developed to provide a biphasic drug release using poly(vinyl alcohol) (PVA) and poly(methylmethacrylate-co-methacrylic acid) (P(MMA/MAA)) spheres. Azidothymidine (AZT), an anti-HIV agent with a short biological half-life, was used as the model drug. Dynamic and equilibrium swelling of the polymers, and kinetics of AZT release from these polymers were determined in pH 1.2 and 6.8 buffer solutions. The swelling of PVA and release of AZT from PVA disks were fast and nearly pH-independent, whereas the swelling behavior and drug release kinetics of P(MMA/MAA) spheres were strongly pH-dependent. A swelling interface number for the spheres at pH 6.8 was determined to be Sw&z.Lt;1 and time dependent. Nevertheless, Fickian diffusion might also contribute to the drug release in this system. The composite disks consisting of PVA matrix and P(MMA/MAA) spheres provided prolonged (over 20 h) and more steady release profiles, differing profoundly from individual components. Such release profiles resulted from the second phase release at pH 6.8 and the presence of PVA layer. The relative drug loading in the matrix could be tailored to produce release profiles varying from a distinct bimodal release to a pseudo zero-order release with an initial burst.

First order release rate from porous PLA microspheres with limited exit holes on the exterior surface

We applied the finite element method (FEM) to calculate release profiles from computer simulated slabs, one with a limited number of exit holes on the exterior surface, and the other with uniform structure. The former slab showed a first order release rate, and a nearly uniform drug concentration distribution within the device during the release process. It was concluded that circulation of the drug molecules within the slab resulted in the uniform concentration and consequently first order release rate. This theoretical work was used to explain the first order release rate of an active ingredient (flourescin-4-isothiocyanate-dextran, M(W)=71000 Da) from porous PLA (poly(D,L)-lactic acid) microspheres, which by canning electron microscopy (SEM) examination showed only a few exit holes on their exterior surface. Calculations indicated that the internal surface adsorption of the active ingredient, or the pore size distribution of the microspheres, could not influence the mechanism for the first order release rate, and the small number of exit holes on the exterior surface was likely to be the rate-determining factor. The exit holes could be observed by SEM and their size and number is consistent with our interpretations.

Studies of diffusional release of a dispersed solute from polymeric matrixes by finite element method

This paper presents systematic analyses by the finite element method of release kinetics of a dispersed solute from various matrixes (i.e. , slab, sphere, cylinder, and convex tablet), with or without boundary-layer resistance, into a finite or an infinite external volume. In the case of sink conditions, the numerical results agree well with the existing analytical solutions. For the problems of solute release into a finite external volume, where the analytical solutions are not available, this work has provided numerical solutions of the differential equations describing the release kinetics, moving boundaries, and concentration profiles. This work has also revealed the dependence of release kinetics on the initial solute loading, the external volume, and the boundary-layer thickness. The method presented here can describe the entire process of diffusional release before and after the dispersed solute has been dissolved without the pseudo steady-state assumption and it is applicable to both small and large ratio of initial solute loading to the solute solubility in the matrix.

Bimodal release of theophylline from "seed-matrix" beads made of acrylic polymers

The purpose of this research was to design a "seed-matrix" structure for an in vitro bimodal theophylline release profile and to investigate the mechanism and kinetics of drug release as well as the influence of various factors on the properties of the theophylline-containing microspheres. "Seed" microspheres with high theophylline content were prepared from Eudragit L100 and Eudragit S100, copolymers of methyl methacrylate and methacrylic acid, by the solvent removal process. The seed-matrix beads were subsequently prepared by incorporation of the seed microspheres into Eudragit RL100, a copolymer of acrylic and methacrylic acid esters with a low content of quaternary ammonium group. Increasing the size of encapsulated drug particles and the rate of agitation during the preparation, or decreasing the amount of surfactants led to an increase in the size of the microspheres produced. Scanning electron microscopy revealed porous morphology of the microspheres. The release rate of theophylline was enhanced as the content of methacrylic acid in the copolymer increased and the size of the microspheres decreased. The kinetics of drug release from the microspheres was controlled by swelling at the early stage and by diffusion in the later stage. The drug was released from the matrix of the seed-matrix beads at pH 1.2 and from both the matrix and the seeds at pH 6.8. A bimodal release profile of theophylline was obtained from the seed-matrix beads made of acrylic polymers.

Effect of interparticulate interaction on release kinetics of microsphere ensembles

The release kinetics of microsphere ensembles is complicated by the mutual influence of the microspheres which are entrapped in small compartments such as body cavities. This work focused on the effect of interparticulate interaction on the release kinetics of microsphere ensembles with limited spreading. Experiments and finite element modeling were conducted to investigate diffusional drug release from a single sphere, a monolayer, and multiple layers of microspheres. Poly(methyl methacrylate-co-methacrylic acid) (P(MMA/MAA)) microspheres and azidothymidine (AZT) were used in the experiments. The order of the release rate of AZT from various microsphere populations was observed to be single sphere > monolayer > multiple layers. This evidenced the importance of interparticulate interaction. The finite element simulations elucidated the influence of various factors on the release kinetics of microsphere ensembles including the separation distance, location of the spheres, and the drug accumulation in the medium. Calibration of overall release kinetics for the neighboring effect was proposed on the basis of the spreading factor. Overall release profiles of microsphere ensembles were predicted using the release profiles of individual microspheres at various locations.