A Monte Carlo simulation of tracer diffusion in amorphous polymers.

Tracer diffusion in amorphous polymers is a sought-after quantity for a range of technological applications. In this regard, a quantitative description of the so-called decoupling from the reverse proportionality between viscosity and diffusion coefficient into a fractional one remains a challenge requiring a deeper insight. This work employs a Monte Carlo simulation framework in 3 dimensions to investigate the consequences of different scenarios for estimating this fractional exponent on the diffusion coefficient of tracers in polymers near glass transition. To this end, we adopted a continuous-time random walk model for tracer diffusion in the supercooled liquid state. The waiting time distribution of the diffusants was computed based on the rotational correlation times of the polymer. This proposed procedure is of particular interest because it brings the quantity of waiting time (and its statistics) in connection with the measurable observable of rotational times. In the framework of our simulations the aforementioned fractional exponent appears in the relation between the diffusant's waiting time and the rotational time of the diffusion medium. A limited comparison with experimental diffusivities from the literature revealed a reasonable agreement with a fractional exponent on the basis of the molar volumes of the diffusant and the monomeric unit. Finally, an analysis of time-averaged mean squared displacement pointed to normal Brownian dynamics for tracer diffusion in polymers above the glass transition temperature.

Intrinsic dissolution rate modeling for the pharmacopoeia apparatus rotating disk compared to flow channel method.

For a solid understanding of drug characteristics, in vitro measurement of the intrinsic dissolution rate is important. Hydrodynamics are often emphasized as the decisive parameter influencing the dissolution. In this study, experiments and computational fluid dynamic (CFD) simulations showed that the mixing behavior in the rotating disc apparatus causes an inhomogeneous flow field and a systematic error in the calculation of the intrinsic dissolution rate. This error is affected by both the experimental time and the velocity. Due to the rotational movement around the tablet center, commonly utilized in pharmacopeia methods, a broad variance is present with regard to the impact of fluid velocity on individual particles of the specimen surface. As this is significantly reduced in the case of uniform overflow, the flow channel is recommended for investigating the dissolution behavior. It is shown that rotating disc measurements can be compared with flow channel measurements after adjusting the measured data for the rotating disc based on a proposed, representative Reynolds number and a suggested apparatus-dependent correction factor. Additionally, modeling the apparatus-independent intrinsic dissolution rate for different temperatures in the rotating disc apparatus is possible using the adapted Levich's equation.

Experimental and numerical characterization of screw elements used in twin-screw extrusion.

Hot melt extrusion by a co-rotating twin screw extruder is an important process in the pharmaceutical industry. Especially for quality by design aspects, a comprehensive process understanding is indispensable. The performance of conveying elements was determined as critical process parameter, and therefore an experimental and numerical framework was developed to analyze and compare variations. A test rig capable of measuring volume flow, pressure and torque with high accuracy and precision was designed and built. The 3D simulation was performed using computational fluid dynamics (CFD). A stationary model with impulse transmission and an apparent motion of the screws was applied. The experimental data were fitted to the model of Pawlowski, and parameters for the pressure (A1, A2) and power characteristics (B1, B2) were determined. Good agreement between experimental data and the model was observed. The simulation was significantly faster compared to common methods, and the results were consistent with the literature. Systematic investigations of a native and worn screw were performed with CFD resulting in a transport capacity increase and a pressure build up decrease for all tested screw elements. An experimental and simulation setup was generated to assess the performance of co-rotating twin screw elements. The experiments provided high-quality data, and the simulations exhibited high flexibility with low computational effort.

Molecular Dynamics and Diffusion in Amorphous Solid Dispersions Containing Imidacloprid.

The main goal of this study is to develop an experimental toolbox to estimate the self-diffusion coefficient of active ingredients (AI) in single-phase amorphous solid dispersions (ASD) close to the glass transition of the mixture using dielectric spectroscopy (DS) and oscillatory rheology. The proposed methodology is tested for a model system containing the insecticide imidacloprid (IMI) and the copolymer copovidone (PVP/VA) prepared via hot-melt extrusion. For this purpose, reorientational and the viscoelastic structural (α-)relaxation time constants of hot-melt-extruded ASDs were obtained via DS and shear rheology, respectively. These were then utilized to extract the viscosity as well as the fragility index of the dispersions as input parameters to the fractional Stokes-Einstein (F-SE) relation. Furthermore, a modified version of Almond-West (AW) formalism, originally developed to describe charge diffusion in ionic conductors, was exercised on the present model system for the estimation of the AI diffusion coefficients based on shear modulus relaxation times. Our results revealed that, at the calorimetric glass-transition temperature (Tg), the self-diffusion coefficients of the AI in the compositional range from infinite dilution up to 60 wt % IMI content lied in the narrow range of 10-18-10-20 m2 s-1, while the viscosity values of the dispersions at Tg varied between 108 Pa s and 1010 Pa s. In addition, the phase diagram of the IMI-PVP/VA system was determined using the melting point depression method via differential scanning calorimetry (DSC), while mid-infrared (IR) spectroscopy was employed to investigate the intermolecular interactions within the solid dispersions. In this respect, the findings of a modest variation in melting point at different compositions stayed in agreement with the observations of weak hydrogen bonding interactions between the AI and the polymer. Moreover, IR spectroscopy showed the intermolecular IMI-IMI hydrogen bonding to have been considerably suppressed, as a result of the spatial separation of the AI molecules within the ASDs. In summary, this study provides experimental approaches to study diffusivity in ASDs using DS and oscillatory rheology, in addition to contributing to an enhanced understanding of the interactions and phase behavior in these systems.

Characterizing Phase Separation of Amorphous Solid Dispersions Containing Imidacloprid.

Amorphous-Amorphous phase separation (AAPS) is an important phenomenon that can impede the performance of amorphous solid dispersions (ASDs). The purpose of this study was to develop a sensitive approach relying on dielectric spectroscopy (DS) to characterize AAPS in ASDs. This includes detecting AAPS, determining the size of the active ingredient (AI) discrete domains in the phase-separated systems, and accessing the molecular mobility in each phase. Using a model system consisting of the insecticide imidacloprid (IMI) and the polymer polystyrene (PS), the dielectric results were further confirmed by confocal fluorescence microscopy (CFM). The detection of AAPS by DS was accomplished by identifying the decoupled structural (α-)dynamics of the AI and the polymer phase. The α-relaxation times corresponding to each phase correlated reasonably well with those of the pure components, implying nearly complete macroscopic phase separation. Congruent with the DS results, the occurrence of the AAPS was detected by means of CFM, making use of the autofluorescent property of IMI. Oscillatory shear rheology and differential scanning calorimetry (DSC) detected the glass transition of the polymer phase but not that of the AI phase. Furthermore, the otherwise undesired effects of interfacial and electrode polarization, which can appear in DS, were exploited to determine the effective domain size of the discrete AI phase in this work. Here, stereological analysis of CFM images probing the mean diameter of the phase-separated IMI domains directly stayed in reasonably good agreement with the DS-based estimates. The size of phase-separated microclusters showed little variation with AI loading, implying that the ASDs have presumably undergone AAPS upon manufacturing. DSC provided further support to the immiscibility of IMI and PS, as no discernible melting point depression of the corresponding physical mixtures was detected. Moreover, no signatures of strong attractive AI-polymer interactions could be detected by mid-infrared spectroscopy within this ASD system. Finally, dielectric cold crystallization experiments of the pure AI and the 60 wt % dispersion revealed comparable crystallization onset times, hinting at a poor inhibition of the AI crystallization within the ASD. These observations are in harmony with the occurrence of AAPS. In conclusion, our multifaceted experimental approach opens new venues for rationalizing the mechanisms and kinetics of phase separation in amorphous solid dispersions.

Modeling of Particle Dissolution Behavior Using a Geometrical Phase-Field Approach.

Material dissolution is a critical attribute of many products in a wide variety of industries. The idealized view of dissolution through established prediction tools should be reconsidered because the number of new substances with low aqueous solubility is increasing. Due to this, a fundamental understanding of the dissolution process is desired. The aim of this study was to develop a tool to predict crystal dissolution performance based on experimentally measurable physical parameters. A numerical simulation, called the phase-field method, was used to simultaneously solve the time evolution of the phase and concentration fields of dissolving particles. This approach applies to diffusion-limited as well as surface reaction-limited systems. The numerical results were compared to analytical solutions, and the influence of particle shape and interparticle proximity on the dissolution process was numerically investigated. Dissolution behaviors of two different substances were modeled. A diffusion-limited model compound, xylitol, with a high aqueous solubility and a surface reaction-limited model compound, griseofulvin, with a low aqueous solubility were chosen. The results of the simulations demonstrated that phase-field modeling is a powerful approach for predicting the dissolution behaviors of pure crystalline substances.

A novel approach of external lubrication in a rotary tablet press using electrostatics.

PURPOSE: In powder compaction on rotary tablet presses, the addition of a lubricant is normally mandatory. However, the typical internal lubrication method tends toward overlubrication, resulting in an alteration of the critical quality attributes of the product. In this study, the feasibility of an external lubrication system only using electrostatics for the application was investigated. METHODS: Three well-established lubricants were analyzed regarding their ability to accumulate and retain charge. In subsequent tableting experiments, the impact of different lubrication methods on critical quality attributes and process parameters was investigated. RESULTS: Due to material characteristics, the charge on magnesium stearate particles was most stable over time. The application of this lubricant on the punches via external lubrication with electrostatic forces resulted in a significant reduction of the ejection forces. Furthermore, the tensile strength of the tablets produced in these trials was significantly higher compared to tablets that were produced with internal lubrication. CONCLUSION: The external lubrication method with an electrostatically charged lubricant is a promising method for reducing both the necessary amount of lubricant and the impact of the lubricant on the product.

In-line monitoring of solid dispersion preparation in small scale extrusion based on UV-vis spectroscopy.

The poor solubility of a large number of active pharmaceutical ingredients (APIs) is a major challenge in pharmaceutical research. Therefore, the extrusion of amorphous solid dispersions (ASDs) is one promising approach to enhance the dissolution rate by molecularly dissolving the API in an amorphous carrier polymer. During ASD extrusion, crucial parameters as the dissolution of the API in the carrier polymer need to be monitored. Within this study, a small scale twin screw extruder was coupled with special ColVisTec UV-vis probes that are characterized by their small dimensions. This setup enables a systematic formulation design and optimization based on in-line monitoring of drug dissolution using small material quantities. In fact, sample quantities of about 5 mg were evaluated for each measurement, representing 50% of the material inside the die. The amount of undissolved drug particles was determined based on the lightness of the extrudates. It was shown that the temperature has a significant effect on the drug dissolution in the polymer. Furthermore, complete drug dissolution was shifted to lower temperatures if higher residence times were applied. Based on the courses of lightness, regime maps were modeled that specify the process conditions where ASDs are successfully manufactured.

Residence time and mixing capacity of a rotary tablet press feed frame.

PURPOSE: Most rotary tablet presses contain a feed frame to provide a continuous powder flow and to feed powder into the dies. The wide residence time distribution (RTD) of these feed frames is problematic, because it negatively affects material traceability in continuous manufacturing. In a rotary tablet press, different machine settings influence the RTD, which is characterized by the mean and the width of the distribution. This study focused on the effects of the rotational speed of the feed frame paddles and the rotary tablet press throughput on the RTD. METHODS: An in-line UV/Vis measurement method was developed for determining the RTD in the feed frame. A model based on a plug flow and a continuous stirred tank reactor was adapted to model the experimentally determined RTDs. Finally, the mixing capacity of a feed frame was evaluated and correlated with a model parameter of the RTD. RESULTS: Overall, the developed UV/Vis measurement method was suitable and could be used to obtain process information regarding content uniformity in real time. The experimentally-determined RTDs were described well by fitting an inverse mixing and a transport time. In addition, a correlation between the location and the shape of measured RTDs and tablet press throughput was found. In contrast, rotational feed frame paddle speed did not affect the RTDs. Split-feeding experiments indicated the mixing capacity of the rotary tablet press feed frame. CONCLUSION: The inverse mixing time can be used as an initial indicator for estimating the mixing capacity.

Design and Characterization of a Screw Extrusion Hot-End for Fused Deposition Modeling.

The filament is the most widespread feedstock material form used for fused deposition modeling printers. Filaments must be manufactured with tight dimensional tolerances, both to be processable in the hot-end and to obtain printed objects of high quality. The ability to successfully feed the filament into the printer is also related to the mechanical properties of the filament, which are often insufficient for pharmaceutically relevant excipients. In the scope of this work, an 8 mm single screw hot-end was designed and characterized, which allows direct printing of materials from their powder form and does not require an intermediate filament. The capability of the hot-end to increase the range of applicable excipients to fused deposition modeling was demonstrated by processing and printing several excipients that are not suitable for fused deposition modeling in their filament forms, such as ethylene vinyl acetate and poly(1-vinylpyrrolidone-co-vinyl acetate). The conveying characteristic of the screw was investigated experimentally with all materials and was in agreement with an established model from literature. The complete design information, such as the screw geometry and the hot-end dimensions, is provided in this work.

Slicing parameter optimization for 3D printing of biodegradable drug-eluting tracheal stents.

In 3D printing, the schematic representation of an object must be converted into machine commands. This process is called slicing. Depending on the slicing parameters, products with different properties are obtained. In this work, biodegradable drug-eluting tracheal stents consisting of a medical grade poly(lactic-co-glycolic acid) and a drug were printed by fused deposition modeling. A slicing parameter optimization method was proposed with the aim of obtaining a particularly low stent porosity and high mechanical strength while maintaining the stent dimensions, which is essential regarding patient-tailored implants. Depending on the three slicing parameters printing pattern, lateral strand distance and spatial fill, porosities of approximately 2-5% were obtained. The tensile strength was used as a measure for the mechanical strength of the implants and was found to be dependent on the porosity as well as the strand orientation relative to the load direction. Strand orientations in load direction yielded the highest tensile strengths of 40-46 MPa and the bonding between individual layers yielded the lowest tensile strengths of 20-24 MPa. In vitro dissolution tests of successfully printed stents were used to predict sustained release of the drug over several months.

Development of filaments for fused deposition modeling 3D printing with medical grade poly(lactic-co-glycolic acid) copolymers.

The manufacturing of custom implants and patient-tailored drug dosage forms with fused deposition modeling (FDM) three-dimensional (3D) printing is currently considered to be very promising. Most FDM printers are designed as an open filament system, for which filaments with a defined size are required. In addition to this processing requirement, the filament material must be of medical or pharmaceutical quality, in order to be suitable in these applications. In this work, filaments with nominal diameters of 1.75 mm and diameter tolerances of ±0.05 mm or lower were developed in a continuous extrusion process. The filaments were made from different medical grade poly(lactic-co-glycolic acid) (PLGA) copolymers. Thermal characterization of the material with differential scanning calorimetry (DSC) showed increased material degradation with increasing hydrophilicity. Mechanical characterization of the filaments showed tensile strengths in the range of 41-48 MPa and Young's moduli in the range of 2055-2099 MPa. Stress relaxation tests showed no irreversible change in filament diameter under processing conditions similar to the utilized 3D printer. Due to unexpected differences in processability in the 3D printer, the molecular weight of the materials was identified as an additional relevant parameter.

Scale-up of the rounding process in pelletization by extrusion-spheronization.

Previously described scaling models for the spheronization process of wet extrudates are incomplete, often concluding with an adjustment of the plate speed according to the spheronizer diameter, but neglecting to give guidelines on the adjustment of the load or the process duration. In this work, existing scaling models were extended to include the load and the process time. By analyzing the final particle size and shape distributions as well as the rounding kinetics for various loads and plate speeds in spheronizers with plate diameters of 0.12 m, 0.25 m and 0.38 m, the found scaling model was validated. The peripheral speed was found to be the main influence on the rounding kinetic, while the load and the plate diameter only showed minor influence. Higher peripheral speeds, higher loads and a larger spheronizer diameter led to an increase in rounding kinetic, allowing for shorter residence times and increased throughput. However, lower peripheral speed, lower loads and lower plate diameters led to particles of increased sphericity.

Characterisation of fused deposition modeling 3D printers for pharmaceutical and medical applications.

Fused deposition modeling (FDM) is a promising 3D printing technique for the fabrication of personalized drug dosage forms and patient-specific implants. However, there are no market products produced by FDM available at this time. One of the reasons is the lack of a consistent and harmonized approval procedure. In this study, three FDM printers have been characterised with respect to printing parameters relevant for pharmaceutical and medical applications, namely the positioning, hot-end temperature, material residence time, printing velocity and volumetric material flow. The printers are the Ultimaker 2 (UM2), the PRotos v3 (PR3) as well as an in-house developed printer (IDP). The positioning results showed discrepancies between the printers, which are mainly based on different types of drive systems. Due to comparable utilised hot-ends and nozzle geometries, the results for the temperature and residence time distribution measurements were quite similar. The IDP has a high positioning accuracy but is limited with respect to printing velocity, while the achievable material volume flows were different for all printers. The presented characterisation method aims to contribute to the development of a harmonized equipment qualification framework for FDM printers, which could lead to an acceleration and facilitation of an approval procedure for 3D printed products.

Preparation and physicochemical characterization of matrix pellets containing APIs with different solubility via extrusion process.

In this study, a multiparticulate matrix system was produced, containing two different active pharmaceutical ingredients (APIs): enalapril-maleate and hydrochlorothiazide. The critical control points of the process were investigated by means of factorial design. Beside the generally used microcrystalline cellulose, ethylcellulose was used as matrix former to achieve modified drug release ensured by diffusion. The matrix pellets were made by extrusion-spheronization using a twin-screw extruder. Some pellet properties (aspect ratio, 10% interval fraction, hardness, deformation process) were determined. The aim of our study was to investigate how the two different APIs with different solubility and particle size influence the process. The amount of the granulation liquid plays a key role in the pellet shaping. A higher liquid feed rate is preferred in the pelletization process.

Insights into the Mechanism of Enhanced Dissolution in Solid Crystalline Formulations.

Solid dispersions are a promising approach to enhance the dissolution of poorly water-soluble drugs. Solid crystalline formulations show a fast drug dissolution and a high thermodynamic stability. To understand the mechanisms leading to the faster dissolution of solid crystalline formulations, physical mixtures of the poorly soluble drugs celecoxib, naproxen and phenytoin were investigated in the flow through cell (apparatus 4). The effect of drug load, hydrodynamics in the flow through cell and particle size reduction in co-milled physical mixtures were studied. A carrier- and drug-enabled dissolution could be distinguished. Below a certain drug load, the limit of drug load, carrier-enabled dissolution occurred, and above this value, the drug defined the dissolution rate. For a carrier-enabled behavior, the dissolution kinetics can be divided into a first fast phase, a second slow phase and a transition phase in between. This study contributes to the understanding of the dissolution mechanism in solid crystalline formulations and is thereby valuable for the process and formulation development.

Measuring and Modeling of Melt Viscosity for Drug Polymer Mixtures.

Melt viscosity is an essential property in pharmaceutical processes such as mixing, extrusion, fused deposition modeling, and melt coating. Measuring and modeling of the melt viscosity for drug/polymer mixtures is essential for optimization of the manufacturing process. In this work, the melt viscosity of nine formulations containing the drug substances acetaminophen, itraconazole, and griseofulvin, as well as the pharmaceutical polymers Eudragit EPO, Soluplus, and Plasdone S-630, were analyzed with a rotational and oscillatory rheometer. The shear rate, temperature, and drug fraction were varied systematically to investigate their influence on viscosity. The results for the pure polymers showed typical shear-thinning behavior and are fundamental for modeling with the Carreau and Arrhenius approaches. The investigations of the viscosity of the drug/polymer mixtures resulted in a plasticizing or a filler effect, depending on the type of drug and the phase behavior. A drug shift factor was proposed to model the change in viscosity as a function of the drug fraction. On this basis, a universal model to describe the melt viscosity of drug/polymer mixtures was developed, considering shear rate, temperature, and drug fraction.

Design of biorelevant test setups for the prediction of diclofenac in vivo features after oral administration.

PURPOSE: Design of biorelevant test setups mimicking the physiological conditions experienced by drugs after oral administration along the passage through the mouth and the GI tract for the in vitro evaluation of diclofenac exhibiting multiple-peak phenomenon during absorption. METHODS: The biorelevant models simulated successively saliva (SSF, pH 6.2-6.75-7.4, 5 mL, 3 min), gastric (SGF-FaSSGF, pH 1.2-1.6, 50-250 mL, 30 min) and intestinal (FaSSIF, pH 6.8, 250 mL, 60 min) fluids. Applying these models, diclofenac free acid and its sodium/potassium salt were comparatively evaluated for dissolution and further characterized by HPLC, optical morphogranulometry, DSC and PXRD to elucidate peculiar behaviors. RESULTS: Diclofenac salts almost completely dissolved in SSF and showed a transitional dissolution pattern before complete precipitation in SGF/FaSSGF. This peculiar pattern correlated with simultaneous chemical modification and formation of agglomerates. With low dissolution in SSF and almost immediately complete precipitation, these behaviors were not observed with diclofenac free acid. Distinct diclofenac features were strongly determined by pH-modifications after oral administration. CONCLUSIONS: The multiple-peak phenomenon observed after administrating a solution, suspension or dispersible formulation of diclofenac salts are likely caused by drug precipitation and agglomeration in the stomach leading to irregular gastric-emptying. Diclofenac free acid may provide more reliable in vivo features.

Multiple batch manufacturing of theophylline pellets using the wet-extrusion/spheronization process with κ-carrageenan as pelletisation aid.

κ-Carrageenan has been suggested as a pelletisation aid for wet-extrusion/spheronization processes for several years. Until now there have been no systematic investigations regarding process development and stability for long-term production. The aim of this study was to develop a high drug-loaded pellet formulation with κ-carrageenan, so that a robust process cycle occurred over the course of several hours. Binary mixtures of κ-carrageenan and theophylline monohydrate were used and the drug content was varied from 90 to 95%. A twin-screw extruder was used; the power consumption and feed rates were recorded. The pellets were characterized by aspect ratio, diameter, 10% interval, tensile strength and dissolution behavior. The process ran on two occasions for 4.5 h each time. During the extrusion process neither the power consumption nor the feed rates differed significantly, so there was no need to stop the process or change the extrusion parameters. Regarding the spheronization, a cleaning of the spheroniser friction plate was necessary every five batches due to packing of the material on this plate. Overall the resulting pellets showed reproducible and adequate qualities regarding all investigated properties. In conclusion a robust pelletisation process over several hours could be verified. It was possible to produce 42 kg of pellets with adequate properties, without any problems during the process.

Predicting Residence Time and Melt Temperature in Pharmaceutical Hot Melt Extrusion.

Hot-melt extrusion is increasingly applied in the pharmaceutical area as a continuous processing technology, used to design custom products by co-processing drugs together with functional excipients. In this context, the residence time and processing temperature during extrusion are critical process parameters for ensuring the highest product qualities, particularly of thermosensitive materials. Within this study, a novel strategy is proposed to predict the residence time distribution and melt temperature during pharmaceutical hot-melt extrusion processes based on experimental data. To do this, an autogenic extrusion mode without external heating and cooling was applied to process three polymers (Plasdone S-630, Soluplus and Eudragit EPO) at different specific feed loads, which were set by the screw speed and the throughput. The residence time distributions were modeled based on a two-compartment approach that couples the behavior of a pipe and a stirred tank. The throughput showed a substantial effect on the residence time, whereas the influence of the screw speed was minor. On the other hand, the melt temperatures during extrusion were mainly affected by the screw speed compared to the influence of the throughput. Finally, the compilation of model parameters for the residence time and the melt temperature within design spaces serve as the basis for an optimized prediction of pharmaceutical hot-melt extrusion processes.