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For stationary first passage percolation in two dimensions, the existence and uniqueness of semi-infinite geodesics directed in particular directions or sectors has been considered by Damron and Hanson (Commun. Math. Phys., 2014), Ahlberg and Hoffman (preprint, 2016), and others. However the main results do not cover geodesics in the direction of corners of the limit shape $\mathcal{B}$, where two facets meet. We construct an example with the following properties: (i) the limiting shape is an octagon, (ii) semi-infinite geodesics exist only in the four axis directions, and (iii) in each axis direction there are multiple such geodesics. Consequently, the set of points of $\partial \mathcal{B}$ which are in the direction of some geodesic does not have all of $\mathcal{B}$ as its convex hull., 26 pages, 4 figures

Antipsychotics are a class of psychiatric medication that is primarily effective at reducing psychosis symptoms, particularly in schizophrenia and bipolar disorders. This study aims to formulate mixtures of the antipsychotic drugs quetiapine fumarate (QUE), nortriptyline (NOR), propranolol (PROP) and haloperidol (HAL) with excipients urea, niacin (NIA) and niacinamide (NIM) to obtain an enhanced bioavailability and therapeutic effect. The mixtures were prepared by the solvent method and are characterized by various analytical techniques such as differential scanning calorimetry, wide angle X-ray diffraction, scanning electron microscopy and dissolution studies. Out of the various mixtures that have been prepared and tested, five of them showed eutectic behavior and their eutectic points are as follows: quetiapine fumarate–urea (QUE–UREA) 20–80, w/w; nortriptyline–niacin (NOR–NIA) 70–30, w/w; propranolol–niacin (PROP–NIA) 80–20, w/w; propranolol–niacinamide (PROP–NIM) 40–60, w/w; and haloperidol–niacinamide (HAL–NIM) 20–80, w/w. DSC investigation has revealed the formation of an eutectic system and the phase diagrams and Tamman’s triangle construction along with the hot-stage microscopy confirmed their melting points. PXRD study indicated no chemical interaction between either of the mixtures, while SEM study showed the size reduction in these mixtures that has been achieved. In vitro studies of the five mixtures showed an appreciable increase in the dissolution rate compared to that of the drug alone. In conclusion, five simple eutectic mixtures have been formulated by the solvent method and were found to show better dissolution rates than that of the pure form of the drugs, thus improving the bioavailability of these poorly water-soluble drugs.

This project aims to study the nature of interaction and orientation of selected drugs such as dexamethorphan HBr (DXM), diphenhydramine HCl (DPH), and lidocaine HCl (LDC) inclusion complexes with hydroxyl-propyl s-cyclodextrin (HP-s-CD) using 1HNMR spectroscopy, 2D-NMR ROESY and molecular-modeling techniques. Freeze-drying technique was used to formulate the inclusion complexes between DXM, DPH and LDC with HP-s-CD (1:1 M ratio) in solid state. Inclusion complex formation was initially characterized by Fourier transform-infrared spectroscopy (FT-IR), differential scanning calorimetry (DSC), X-ray diffraction (XRD) and scanning electron microscopy (SEM) techniques. Further characterization of inclusion complexes to determine the interaction of DXM, DPH and LDC with HP-β-CD was performed using the 1HNMR spectroscopy, 2D-NMR ROESY and molecular modeling techniques. Inclusion complexes of DXM, DPH and LDC with HP-s-CD were successfully prepared using the freeze-drying technique. Preliminary studies with FT-IR, DSC, XRD and SEM indicated the formation of inclusion complexes of DXM, DPH and LDC with HP-β-CD at 1:1 M ratio. 1HNMR study showed a change in proton chemical shift upon complexation. 2D-NMR ROESY (two-dimensional) spectroscopy gave an insight into the spatial arrangement between the host and guest atoms. 2D-ROESY experiments further predicted the direction of orientation of guest molecules, indicating the probability that amino moieties of DXM, DPH and LDC are inside the hydrophobic HP-s-CD cavity. Cross-peaks of inclusion complexes demonstrated intermolecular nuclear Overhauser effects (NOE) between the amino protons in DXM, DPH and LDC and H-atoms of HP-s-CD. Molecular modeling studies further confirmed the NMR data, providing a structural basis of the individual complex formations. Microsecond time-level molecular dynamics and metadynamics simulations indicate much stronger binding of DXM to HP-s-CD and more dynamic behavior for DPH and LDC. In particular, LDC can exhibit multiple binding modes, and even spent some time (∼1-2%) out of the carrier, proving the dynamic nature of the complex. To conclude, 2D-NMR and molecular dynamic simulations elucidate the formation of inclusion complexes and intermolecular interactions of DXM, DPH and LDC with HP-s-CD.

The availability of suppositories in Hungary, especially in clinical pharmacy practice, is usually provided by extemporaneous preparations. Due to the known advantages of rectal drug administration, its benefits are frequently utilized in pediatrics. However, errors during the extemporaneous manufacturing process can lead to non-homogenous drug distribution within the dosage units. To determine the root cause of these errors and provide corrective actions, we studied suppository samples prepared with exactly known errors using both cerimetric titration and HPLC technique. Our results show that the most frequent technological error occurs when the pharmacist fails to use the correct displacement factor in the calculations which could lead to a 4.6% increase/decrease in the assay in individual dosage units. The second most important source of error can occur when the molding excess is calculated solely for the suppository base. This can further dilute the final suppository drug concentration causing the assay to be as low as 80%. As a conclusion we emphasize that the application of predetermined displacement factors in calculations for the formulation of suppositories is highly important, which enables the pharmacist to produce a final product containing exactly the determined dose of an active substance despite the different densities of the components.

We have observed unique variations in AC electrical conductivity of solids when studied with respect to temperature, time, and frequency. A wide range of solids were examined for this study e.g., organics, polymers, carbohydrates, active pharmacy ingredients (APIs), and amino acids. The observed dielectric analysis conductivity for this great number of organic materials follows an Arrhenius plot of log polar ionic conductivity which is linearly related to reciprocal temperature and the correlation of coefficient is 0.992–0.999. These experimental observations support the polaron hopping conduction model. Experimental results clearly show novel dielectric behavior of a linear increase in a log ionic conductivity versus temperature in the pre-melt/solid-state transition regions. We have differentiated the solids which show the conductivity variations in pre-melt from those which do not. Isothermal dielectric analysis was used to study the cause of this variation in solids which yielded the measure of behavior, i.e., the polarization time property. We have also studied the effect of various experimental factors (e.g., moisture and purity) on the results. Correlating dielectric with calorimetric analyses gave us a better understanding of solid-state properties. Calorimetric analysis was used to assure that the observed variations in the solid-state properties are not due to moisture or impurities present in the sample. The ASTM E698 “purity method” was employed to verify the purity of the chemicals. Activation energies were calculated based on Arrhenius behavior to better interpret the solid-state properties. As the different chemicals were heat–cool cycled they were more amorphous, as evidenced by the decreasing activation energy for charge transfer with an increasing amorphous content.

Background. Skin infections occur commonly and often present therapeutic challenges to practitioners due to the growing concerns regarding multidrug-resistant bacterial, viral, and fungal strains. The antimicrobial properties of zinc sulfate and copper sulfate are well known and have been investigated for many years. However, the synergistic activity between these two metal ions as antimicrobial ingredients has not been evaluated in topical formulations. Objective. The aims of the present study were to (1) formulate topical creams and gels containing zinc and copper alone or in combination and (2) evaluate the in vitro antibacterial activity of these metal ions in the formulations. Method. Formulation of the gels and creams was followed by evaluating their organoleptic characteristics, physicochemical properties, and in vitro antibacterial activity against Escherichia coli and Staphylococcus aureus. Results. Zinc sulfate and copper sulfate had a strong synergistic antibacterial activity in the creams and gels. The minimum effective concentration was found to be 3 w/w% for both active ingredients against the two tested microorganisms. Conclusions. This study evaluated and confirmed the synergistic in vitro antibacterial effect of copper sulfate and zinc sulfate in a cream and two gels.

Organogels have emerged as an alternative carrier for small and macromolecules via transdermal, oral, rectal and ophthalmic routes. Pluronic lecithin organogels (PLO gels) are lecithin-based organogels widely used in compounding pharmacies as a vehicle for enhancing the transdermal permeability of many therapeutic drugs. However, the scientific and systematic evidence in support of how well PLO gels help in transdermal delivery is scanty. Recently, some clinical studies have reported nearly complete lack of bioavailability of certain topically administered drugs from PLO gels. The present review aims at summarizing gels and organogels, with a focus on the use of PLO gels in transdermal drug delivery. A special emphasis is placed on controversies looming over the use of PLO gels as a delivery platform for drugs via transdermal route. This article is open to POST-PUBLICATION REVIEW. Registered readers (see “For Readers”) may comment by clicking on ABSTRACT on the issue’s contents page.

We study the intersection of two independent renewal processes, $\rho=\tau\cap\sigma$. Assuming that $\mathbf{P}(\tau_1 = n ) = \varphi(n)\, n^{-(1+\alpha)}$ and $\mathbf{P}(\sigma_1 = n ) = \tilde\varphi(n)\, n^{-(1+ \tilde\alpha)} $ for some $\alpha,\tilde \alpha \geq 0$ and some slowly varying $\varphi,\tilde\varphi$, we give the asymptotic behavior first of $\mathbf{P}(\rho_1>n)$ (which is straightforward except in the case of $\min(\alpha,\tilde\alpha)=1$) and then of $\mathbf{P}(\rho_1=n)$. The result may be viewed as a kind of reverse renewal theorem, as we determine probabilities $\mathbf{P}(\rho_1=n)$ while knowing asymptotically the renewal mass function $\mathbf{P}(n\in\rho)=\mathbf{P}(n\in\tau)\mathbf{P}(n\in\sigma)$. Our results can be used to bound coupling-related quantities, specifically the increments $|\mathbf{P}(n\in\tau)-\mathbf{P}(n-1\in\tau)|$ of the renewal mass function., Comment: 1 figure, 21 pages

Morphological and thermodynamic transitions in drugs as well as their amorphous and crystalline content in the solid state have been distinguished by thermal analytical techniques, which include dielectric analysis (DEA), differential scanning calorimetry (DSC), and macro-photomicrography. These techniques were used successfully to establish a structure versus property relationship with the United States Pharmacopeia standard set of active pharmaceutical ingredient (API) drugs. A distinguishing method is the DSC determination of the amorphous and crystalline content which is based on the fusion properties of the specific drug and its recrystallization. The DSC technique to determine the crystalline and amorphous content is based on a series of heat and cool cycles to evaluate the drugs ability to recrystallize. To enhance the amorphous portion, the API is heated above its melting temperature and cooled with liquid nitrogen to −120 °C (153 K). Alternatively a sample is program heated and cooled by DSC at a rate of 10 °C min−1. DEA measures the crystalline solid and amorphous liquid API electrical ionic conductivity. The DEA ionic conductivity is repeatable and differentiates the solid crystalline drug with a low conductivity level (10−2 pS cm−1) and a high conductivity level associated with the amorphous liquid (106 pS cm−1). The DSC sets the analytical transition temperature range from melting to recrystallization. However, analysis of the DEA ionic conductivity cycle establishes the quantitative amorphous and crystalline content in the solid state at frequencies of 0.10–1.00 Hz and to greater than 30 °C below the melting transition as the peak melting temperature. This describes the “activation energy method.” An Arrhenius plot, log ionic conductivity versus reciprocal temperature (K−1), of the pre-melt DEA transition yields frequency dependent activation energy (E a, J mol−1) for the complex charging in the solid state. The amorphous content is inversely proportional to the E a where the E a for the crystalline form is higher and lower for the amorphous form with a standard deviation of ±2%. There was a good agreement between the DSC crystalline melting, recrystallization, and the solid state DEA conductivity method with relevant microscopic evaluation. An alternate technique to determine amorphous and crystalline content has been established for the drugs of interest based on an obvious amorphous and crystalline state identified by macro-photomicrography and compared to the conductivity variations. This second “empirical method” correlates well with the “activation energy” method.

The current United States Pharmacopeia (USP) test for the disintegration of drug tablets does not measure initial disintegration times and does not adequately describe tablet disintegration mechanisms. An Isothermal Mechanical Analysis (IsoTMA) method meeting USP specifications has been developed to measure the initial time and rate of drug disintegration. TMA monitors the physical dimension of the formulated drug tablet as a function of time, temperature, applied stress, and pH. TMA can be used to measure the swelling, shrinkage, or disintegration of a formulated tablet in a specified fluid. The focus of this study is to validate an efficient and precise IsoTMA method to measure dimensional stability of solid dose tablets. The precision of the method along with the effect of pH (1–10) and temperature (25–37 °C) on the rate of delivery was determined for nine drugs. Graphical representations of dimensional changes over time were created and compared. Drug delivery in a specific liquid medium was measured by UV analysis for the active pharmaceutical ingredient. An increase in temperature decreased the disintegration time and increased the disintegration rate (mm/min). For the drugs that are studied in this article, pH did not have an appreciable effect on the rate of disintegration.

Novel dielectric behavior of a linear increase in ionic conductivity prior to melt temperature was observed for active pharmaceutical ingredients (APIs), organic chemicals, amino acids, and carbohydrates. Though, there are solids like polyolefins and long chain organic compounds (tetracosane, pentacosane) which do not exhibit this premelt behavior (i.e., the temperature where the onset of increase in ionic conductivity to melt temperature). We have discovered novel electrical conductivity properties and other physical analytical variations which can lead to unique synthetic routes of certain chemical entities. The above-mentioned unique variations are not related to solid–solid transitions which are quite often observed in pharmaceutical crystalline solids. These new properties are related to amorphous crystalline behavior of a solid. We have also studied the effect of various experimental variables: such as amount of mass tested, applied frequency at a given electric field and heating rate, which results in varying the onset temperature of the increase in ionic conductivity. Melting of the solids was correlated using differential scanning calorimetry (DSC). Activation energies for all the solids were measured in the premelt region using an Arrhenius plot at a specific frequency since we observed changes in the conductivity with frequency. This study focused on frequencies 0.1 to 10 Hz, since the conductivity at these frequencies related to surface analysis. This new physical properties are leading to new electro synthetic procedures to modify or prepare chemicals.

We study the solid-on-solid interface model above a horizontal wall in three dimensional space, with an attractive interaction when the interface is in contact with the wall, at low temperatures. There is no bulk external field. The system presents a sequence of layering transitions, whose levels increase with the temperature, before reaching the wetting transition., Comment: 61 pages, 6 figures. Miscellaneous corrections and changes, primarily in Section 4. Figure 5 added.

A eutectic is formed from a mixture of two or more solids and has a melting point lower than that of each of its constituents. It is generally represented by a phase diagram where the liquid and solid phases impact upon each other with a value known as the eutectic point. In pharmaceuticals, poor water solubility is a major obstacle for releasing new dosage forms into the market. Eutectic formation overcomes these problems. Preparation of a phase diagram by Differential Scanning Calorimetry can determine eutectic properties, but it is tedious. A modified Van't Hoff (VH) equation was used in this study. Devalina Law developed a dimensionless index for the VH equation. The difference in melting points of an excipient polymer and drug are divided by the slope of the VH equation. In previous studies, five excipient-drug compositions were evaluated. The final index relationship was in good agree- ment except for the salt, quinine sulfate. In order to test the validity of the VH index, further studies of PEG with ace- tylsalicylic acid, acetaminophen, diflunisal, dimenhydri- nate, ketoconazole, and mefenamic acid were performed.

We consider a polymer with configuration modeled by the path of a Markov chain, interacting with a potential $u+V_n$ which the chain encounters when it visits a special state 0 at time $n$. The disorder $(V_n)$ is a fixed realization of an i.i.d. sequence. The polymer is pinned, i.e. the chain spends a positive fraction of its time at state 0, when $u$ exceeds a critical value. We assume that for the Markov chain in the absence of the potential, the probability of an excursion from 0 of length $n$ has the form $n^{-c}\phi(n)$ with $c \geq 1$ and $\phi$ slowly varying. Comparing to the corresponding annealed system, in which the $V_n$ are effectively replaced by a constant, it is known that the quenched and annealed critical points differ at all temperatures for $3/22$, but only at low temperatures for $c3/2$ with arbitrary temperature we provide a new proof that the gap is positive, and extend it to $c=2$., Comment: 33 pages

Eugenol is the main volatile compound extracted oil from clove bud, Syzygium aromaticum L., and used in traditional medicine, as a bactericide, fungicide, anesthetic, and others. Its extraction was performed using hydrodistillation which is the most common extraction technique. Its components and thermal behavior were evaluated using gas chromatography (GC) and differential scanning calorimetry (DSC), which provide a better characterization of these natural compounds. This extracted product was compared to the standard eugenol results. The GC results suggested ~90% eugenol was found in the total extracted oil, and some of its boiling characteristics were 270.1 °C for peak temperature and 244.1 J g−1 for the enthalpy variation.

Eugenol is an allyl chain-substituted guaiacol in the biosynthesized phenylpropanoid compound class derived from Syzygium aromaticum L. and widely used in folk medicine. Nonetheless, its pharmacological use is limited by some problems, such as instability when exposed to light and high temperature. In order to enhance stability, the eugenol molecule was structurally modified, resulting in eugenyl acetate. The eugenyl acetate’s thermal behavior and crystal structure was then characterized by differential scanning calorimetry (DSC) and X-ray diffraction (XRD) and compared to a commercial sample.

Essential oils are good candidates for the substitution of conventional medicinal treatments. Many articles and patents for their use have been published in recent years. The most attractive aspects of using essential oils as medicaments are their natural source and rapid permeability. Besides permeability, the solubility behavior of a drug is a key determinant of its oral bioavailability. Based on these characteristics, the aim of this study was to synthesize an essential oil derivative compound, using the raw oil extracted from Syzygium aromaticum L., without previous purification. The Eugenol molecular modification may diminish the problems of water solubility and bioavailability. The Eugenyl acetate molecule was characterized and its molecular modification investigated, including its structural properties and stereochemistry. This study was performed applying techniques, such as carbon-13 nuclear magnetic resonance spectroscopy (C-13 NMR), X-ray crystallographic analysis (XRD), powder X-ray diffraction (PXRD) and microscopic recording. Eugenol and its structure have been known for many years, where as Eugenyl acetate’s structure has never been elucidated nor confirmed until now.

A water-insoluble complex between diltiazem HCl and Na deoxycholate was prepared to achieve sustained release dosage forms. Physicochemical characterization of the drug complex was carried out with differential scanning calorimetry, (1)H-nuclear magnetic resonance, and Fourier transform infrared spectroscopy. These techniques showed that the characteristic peaks in both the drug and the complexing agent (protonated amine and carboxylate) disappeared and new peaks appeared upon formation of the ionic complex. The release of diltiazem from drug-complex tablets was sustained for a long period of time (24 h) and was dependent on the pH of the dissolution medium. However, the dependence of drug release on pH was eliminated at pH 6-8 and minimized at pH 1.5 when drug-complex powders were incorporated in hydroxypropylmethylcellulose (HPMC) drug carriers. Unlike the release of diltiazem HCl from HPMC drug carriers, drug release from drug-complex/HPMC tablets was linear or near linear irrespective of the viscosity grade of the polymer (E15 to K4M). This is due to a shift in the controlling mechanism of drug release from drug diffusion to erosion of polymer. Also, drug release kinetics was not significantly affected by the water solubility of cationic drugs (diltiazem HCl, verapamil HCl, propranolol HCl, and labetalol HCl) ranging from 1.6 to 62% and the type of amine (i.e., secondary or tertiary). The same release characteristics were observed from the complexes between anionic drugs (Na salicylate, naproxen Na, and tolmetin Na) and benzathine diacetate as found from the complexes between cationic drugs and Na deoxycholate.

This project investigated the interaction between poly-L-lactic acid (PLLA) and several therapeutic agents. Low percentage crystallinity PLLA (melt-pressed, molded and drawn) was studied. X-ray diffraction (XRD) and differential scanning calorimetry (DSC) were used to characterize the crystallinity and thermal properties in a thermal cycling process. Repeatable melting and crystallization events were observed. The thermal properties of a drug-polymer combination using PLLA and an acidic, basic, neutral and zwitterionic material were investigated. A sufficient quantity of the drug must be present in the polymer to be observed thermally. Release of atropine sulfate from a PLLA tablet showed a two-phase process.

We study i.i.d. sums $\tau_k$ of nonnegative variables with index $0$: this means $\mathbf{P}(\tau_1=n) = \varphi(n) n^{-1}$, with $\varphi(\cdot)$ slowly varying, so that $\mathbf{E}(\tau_1^\varepsilon)=\infty$ for all $\varepsilon>0$. We prove a local limit and local (upward) large deviation theorem, giving the asymptotics of $\mathbf{P}(\tau_k=n)$ when $n$ is at least the typical length of $\tau_k$. A recent renewal theorem by Nagaev [21] is an immediate consequence: $\mathbf{P}(n\in\tau) \sim \mathbf{P}(\tau_1=n)/\mathbf{P}(\tau_1 > n)^2$ as $n\to\infty$. If instead we only assume regular variation of $\mathbf{P}(n\in\tau)$ and slow variation of $U_n:= \sum_{k=0}^n \mathbf{P}(k\in\tau)$, we obtain a similar equivalence but with $\mathbf{P}(\tau_1=n)$ replaced by its average over a short interval. We give an application to the local asymptotics of the distribution of the first intersection of two independent renewals. We further derive downward moderate and large deviations estimates, that is, the asymptotics of $\mathbf{P}(\tau_k \leq n)$ when $n$ is much smaller than the typical length of $\tau_k$., Comment: 19 pages. We are grateful to V. Wachtel for bringing the result of Nagaev to our attention, and to an anonymous referee for pointing out a shorter proof of Theorem 1.3. Several changes were made accordingly

We introduce the pinning model on a quenched renewal, which is an instance of a (strongly correlated) disordered pinning model. The potential takes value 1 at the renewal times of a quenched realization of a renewal process $\sigma$, and $0$ elsewhere, so nonzero potential values become sparse if the gaps in $\sigma$ have infinite mean. The "polymer" -- of length $\sigma_N$ -- is given by another renewal $\tau$, whose law is modified by the Boltzmann weight $\exp(\beta\sum_{n=1}^N \mathbf{1}_{\{\sigma_n\in\tau\}})$. Our assumption is that $\tau$ and $\sigma$ have gap distributions with power-law-decay exponents $1+\alpha$ and $1+\tilde \alpha$ respectively, with $\alpha\geq 0,\tilde \alpha>0$. There is a localization phase transition: above a critical value $\beta_c$ the free energy is positive, meaning that $\tau$ is \emph{pinned} on the quenched renewal $\sigma$. We consider the question of relevance of the disorder, that is to know when $\beta_c$ differs from its annealed counterpart $\beta_c^{\rm ann}$. We show that $\beta_c=\beta_c^{\rm ann}$ whenever $ \alpha+\tilde \alpha \geq 1$, and $\beta_c=0$ if and only if the renewal $\tau\cap\sigma$ is recurrent. On the other hand, we show $\beta_c>\beta_c^{\rm ann}$ when $ \alpha+\frac32\, \tilde \alpha \beta_c^{\rm ann}$. We additionally consider two natural variants of the model: one in which the polymer and disorder are constrained to have equal numbers of renewals ($\sigma_N=\tau_N$), and one in which the polymer length is $\tau_N$ rather than $\sigma_N$. In both cases we show the critical point is the same as in the original model, at least when $ \alpha>0$., Comment: 51 pages, 1 figure

Industrial manufacturing of solid oral dosage forms require quality tests, such as friability, hardness, and disintegration. The United States Pharmacopeia (USP) disintegration test uses 900mL of water. However, recent studies of orally disintegrating tablets (ODTs) have shown that this volume does not accurately portray the oral environment. In our study, various tests were conducted with a more moderate amount of water that accurately resembles the oral environment. A simulated wetting test was performed to calculate the water absorption ratio. Results showed that wetting was comparable to disintegration. Although the wetting test worked for most types of ODTs, it had limitations that produced inaccurate results. This led to the use of a modified shaking water bath test. This test was found to work for all types of ODT products and was not subject to the limitations of the wetting test. The shake test could provide disintegration times rather than water permeation times; however, it could not be used to calculate the water absorption ratio. A strong correlation was observed between the standardized shake test and the USP disintegration times for the tablets. This shake test could be used during the development stages and quality tests for ODTs with relative ease.

Granulations of dimenhydrinate (DMH) were prepared using various concentrations of ethyl cellulose (EC) by the solid dispersion technique. Characterization was done using thermal analysis, powder X-ray diffraction, infrared spectroscopy, optical microscopy and dissolution studies. Humidity studies were performed to investigate the effect of moisture on the drug and solid dispersions. It was seen that the crystalline drug was converted into its amorphous form in all the granulations. There was no chemical interaction between the DMH and EC. The thermal decomposition of drug in the granules was not affected. Dissolution studies revealed that the drug release from the granulations was significantly reduced as compared to the pure drug. As the amount of ethyl cellulose increased, the drug release rate decreased and the drug release kinetics showed a better fit to zero-order kinetics. Humidity studies showed that the drug and granulations remained stable in conditions not exceeding 70%RH. At high humidity of 100%RH, there was formation of the hydrate crystal forms of the drug in the pure drug samples and granules with 1:1 DMH-EC content whereas the granules with higher polymer content did not show any significant changes indicating better drug stability in the granules.

Differential scanning calorimetry (DSC) is a thermal analytical tool for preformulation studies. Extrapolated melting temperature (TP) and heat of fusion (ΔHf) can be used as parameters for optimizing the DSC performance. Two model pharmaceuticals acetaminophen and nicotinamide are used in this study. Using a factorial design for the experimental model and matrix analysis the results, the effect of sample mass, heating rate and the nitrogen flow rate were evaluated on the ΔHf values and TP values. Two levels for each of the procedural variables were used as a balanced experimental design with two sample sizes, two heating rates and two nitrogen flow rates. It was found that the change in the heating rate caused significant changes in the ΔHf values but not the Tp values for acetaminophen. However, no significant effect was found for the Tp value but ΔHf value was affected to a certain extent for nicotinamide.

We continue our study of colligative properties of solutions initiated in math-ph/0407034. We focus on the situations where, in a system of linear size $L$, the concentration and the chemical potential scale like $c=\xi/L$ and $h=b/L$, respectively. We find that there exists a critical value $\xit$ such that no phase separation occurs for $\xi\le\xit$ while, for $\xi>\xit$, the two phases of the solvent coexist for an interval of values of $b$. Moreover, phase separation begins abruptly in the sense that a macroscopic fraction of the system suddenly freezes (or melts) forming a crystal (or droplet) of the complementary phase when $b$ reaches a critical value. For certain values of system parameters, under ``frozen'' boundary conditions, phase separation also ends abruptly in the sense that the equilibrium droplet grows continuously with increasing $b$ and then suddenly jumps in size to subsume the entire system. Our findings indicate that the onset of freezing-point depression is in fact a surface phenomenon., Comment: 27 pages, 1 fig; see also math-ph/0407034 (both to appear in JSP)

Solid-state interaction between ibuprofen and nicotinamide was studied using thermal, spectroscopic, and microscopic techniques. Solubility enhancement was calculated by high-performance liquid chromatography and suspension was found to be the suitable choice of formulation. Ibuprofen-nicotinamide binary mixtures were prepared by solvent evaporation method. Differential scanning calorimetry was used to investigate the stoichiometry and thermal properties of the complex between ibuprofen and nicotinamide. A sharp, single endotherm was observed between the melting endotherms of the individual components at a composition of 60% ibuprofen and 40% nicotinamide (w/w). Several spectroscopic techniques such as ultraviolet-visible, Fourier transform infrared, nuclear magnetic resonance, and powder X-ray diffraction were used to investigate the type of interaction between the two components. Optical microscopy was performed to observe changes with regard to particle size and crystal habit. It was concluded that the interaction that occurred was Pi donor-Pi acceptor in nature and too weak to sustain the integrity of the complex in the liquid state. The solubility of ibuprofen was enhanced by 62 times in the suspension when the concentration of nicotinamide was 13.3 mg/mL. The suspension prepared in this study has potential of being a better medication for pain relief in patients with osteoarthritis.

The possibility of obtaining tolbutamide polymorphs was investigated using the solvents acetonitrile and 1-octanol. Tolbutamide is an oral hypoglycemic agent that exists in four polymorphic forms. Characterization of the various polymorphs was carried out by differential scanning calorimetry (DSC), powder X-ray diffraction (PXRD), infrared spectroscopy (FTIR), optical microscopy and dissolution studies. Form A, crystallized from acetonitrile, resembled the form I polymorph, while form O, crystallized from 1-octanol, resembled the form III polymorph. Tablets of both form A and form O were produced at compression pressures of 2500 lbs and 5000 lbs using cornstarch and talc and were exposed to 40%, 75% and 95% RH conditions. DSC and PXRD studies did not show any significant drug-excipient interaction. Moreover, the change in the crystalline state of either form upon exposure to humidity was not evident. Dissolution studies showed a significantly lower drug release rate from form O tablets compressed at 5000 lbs pressure and exposed to 95% RH. Pressure and humidity had no significant effect on the dissolution profiles on the form A tablets. It was concluded that form A was the robust choice for further formulation development.

The evaporative properties of adipic acid, triethanolamine (TEA), and glycolic acid have been studied by thermal analysis. Samples were heated in a simultaneous thermogravimetric–differential thermal analysis (TG–DTA) unit at 10 °C min −1 in a dry nitrogen atmosphere flowing at 100 mL min −1 . Benzoic acid was used to calculate a calibration constant which could then be inserted into a modified Langmuir equation to calculate vapor pressure curves for adipic acid, TEA, and glycolic acid. The results were compared to vapor pressure curves generated by use of Antoine constants, where these were available. Good correlation was obtained between the two sets of curves for adipic acid and TEA. Glycolic acid decomposed and evaporated in the same temperature range, thus, making calculations invalid.

Snake skin is a viable and readily available material as a model for human skin. Pharmaceutical applications use shed snake skin to study the effects of sunscreens on exposure to UV radiation (e.g. benzophenone on Boa integument). In order to understand the effects of radiation or drug transport through this model skin, one must determine its basic physical properties. This preliminary study evaluated two types of snake skin, namely Cuban Boa a 'dark' skin (Epicrates angulifer) and Green tree python a 'light' skin (Morelia viridis). Previous studies by other investigators have used pig, rabbit and snake skin as a human skin substitute. The structure of both snake skins was comparable based on IR spectroscopy and were functionally amino acids and moisture. Photomicrography by light and scanning electron microscopy revealed strong anatomic similarities. Morphologically there were two structures visible, namely a cellular and hinge-fibrous area. The thermal techniques indicated a phase transition at 35-75°C, which is associated with lipid melting. There was an 8 and 12% mass loss for the light skin and dark skin, respectively, which is interpreted, in part, as moisture loss at

Five poorly soluble drugs namely hydrochlorothiazide, menadione, propylthiouracil, quinine sulfate and sulfamerazine were used to evaluate the ability of an index (Ic) based on the van't Hoff equation to predict the eutectic composition at a higher heating rate than previously published. The term Ic is a dimensionless index which has been defined in the literature and is used to predict eutectic composition. This current work uses this study to determine if the correlation holds true at the higher heating rate of 10°C min-1. The maximum deviation was observed for quinine sulfate, for which the predicted eutectic composition was 10% lower than what was observed with the DSC. It can be concluded that the Index developed here has a good correlation with the experimentally determined eutectic composition.

This study attempts to identify the degradative process which folic acid undergoes in the solid-state under thermal stress. In order to facilitate the process, the various pieces of the chemical structure, namely, p-amino benzoic acid, pterin and glutamic acid as both its d- and l-isomers were investigated as separate entities. These structured solid-state pieces were then compared to the composite solid state folic acid degradative curves in order to identify the peaks seen and provide direction for the interpolation of the degradative mechanism. It was observed that none of the structural pieces could be superimposed as assumed earlier and hence an attempt was made to identify the decomposition products using various analytical techniques such as infrared spectroscopy, mass spectroscopy and X-ray diffraction which suggested that the glutamic acid fragment is lost first as evidenced by acid loss and amide enhancement in the IR spectra. The vitamin was ultimately degrading to carbon fragments and that further identification was not necessary.

The present study was aimed at determining the kinetics of evaporation and establishing vapor pressure curves for both single and multi-component systems by thermogravimetry (TG) and differential scanning calorimetry (DSC). Essential oils (e.g. lavender oil, orange oil, clove oil and eucalyptus oil, etc.) are typically multi-component systems consisting of various volatile pure components (e.g. linalyl acetate, limonene, cinnamaldehyde, etc.) which resemble single component systems. In this study linalyl acetate was taken as the calibration compound for TG. The vapor pressure curves for the pure substances were plotted using TG and vapor pressure plots for clove oil and eucalyptus oil were constructed using DSC. The thermodynamic and kinetic parameters of the pure compounds were compared to that of the multi-component systems to quantitatively and qualitatively measure the influence of different compounds on each other. The k-value from the vapor pressure data for linalyl acetate was calculated as 112006 Pa kg0.5mol0.5s-1 m-2 K-0.5. The vapor pressure values were used to determine the Antoine constants using the SPSS 10.0 software.

A rapid and sensitive high‐performance liquid chromatographic method was developed for the determination of propylthiouracil. The chromatographic system utilized a C8 column with the detector wavelength set at 276 nm. The mobile phase was composed of water and methanol in a 70:30 (v/v) ratio and was delivered at a flow rate of 0.5 mL/minute. The analytical run time was less than 7 min. The standard curves were linear over a range of 1–100 µg/mL with a correlation coefficient of 0.9958. The limit of quantification was assessed to be 15 ng and the limit of detection 4.5 ng. The RSD values for the intra‐ and inter‐day precision studies were 0.11–1.28% and 1.65%, respectively. The accuracy was ≤5% over the concentration range 1–100 µg/mL. The stability‐indicating nature of the assay method was determined by subjecting a stock solution of propylthiouracil to extremes of acidic and basic degradation. It was found that the method was specific for propylthiouracil. Hence, a simple, rapid, sensitive, stab...

We consider boundary roughness for the ``droplet'' created when supercritical two-dimensional Bernoulli percolation is conditioned to have an open dual circuit surrounding the origin and enclosing an area at least $l^2$, for large $l$. The maximum local roughness is the maximum inward deviation of the droplet boundary from the boundary of its own convex hull; we show that for large $l$ this maximum is at least of order $l^{1/3}(\log l)^{-2/3}$. This complements the upper bound of order $l^{1/3}(\log l)^{2/3}$ known for the average local roughness. The exponent 1/3 on $l$ here is in keeping with predictions from the physics literature for interfaces in two dimensions., 28 pages, 1 figure (.eps file). See also http://math.usc.edu/~alexandr/

The present study evaluates the effects of excipients, compression pressure, and relative humidity (RH) on the stability of sulfamerazine polymorphs (referred here as SMZ I and SMZ II) and their release from directly compressed tablets using differential scanning calorimetry (DSC), powder X-ray diffraction (PXRD), and dissolution analysis. SMZ I and SMZ II tablets were compressed with magnesium stearate (MGST), and microcrystalline cellulose (MCC) at 5000, 7500, and 10,000 lbs. pressures and stored at 40, 75, 95, and 100% RH conditions for 5 weeks. There were indications of possible drug-excipient interaction in the binary mixtures under different relative humidity conditions from the DSC data, but they could not be confirmed by PXRD because the crystal structures of the drug and excipients remained unaltered. The crystal structures of the polymorphs in the tablet also remained unaltered under the above conditions. There were, however, significant differences observed in the drug release properties of the two polymorphs. SMZ II was found in general to have a higher rate of drug release than SMZ I. Extensive gelation of MCC under higher moisture conditions, compression pressure during tableting, and inherent tabletability of the sulfamerazine crystals were factors that affected drug release. All these factors contributed towards prolonging the disintegration and deaggregation of the tablet particles and were therefore concluded to be the rate limiting steps for the dissolution process.

“Atypical Actives” are a class of excipients that serve as Active Pharmaceutical Ingredients (APIs) in over-the-counter (OTC) medications. Atypical actives are present in a variety of dosage forms administered through oral, topical, parenteral and ophthalmic routes. Most atypical actives are derived from a natural source and hence pose fewer side effects compared to prescription medications. In spite of the advantages associated with the use of atypical actives, they have never shared the spotlight with APIs and are continuously disregarded or ignored. This chapter intends to highlight atypical actives and non-medicinal agents in OTC drug products with an emphasis on their therapeutic properties.

We study the depinning transition of the $1+1$ dimensional directed polymer in a random environment with a defect line. The random environment consists of i.i.d. potential values assigned to each site of $\mathbb{Z}^2$; sites on the positive axis have the potential enhanced by a deterministic value $u$. We show that for small inverse temperature $\beta$ the quenched and annealed free energies differ significantly at most in a small neighborhood (of size of order $\beta$) of the annealed critical point $u_c^a=0$. For the case $u=0$, we show that the difference between quenched and annealed free energies is of order $\beta^4$ as $\beta\to 0$, assuming only finiteness of exponential moments of the potential values, improving existing results which required stronger assumptions., Comment: 22 pages. Changes to Proposition 3.8 make Proposition 4.1 unnecessary; minor corrections made

The importance of the amorphous state in studying bioavailability of poorly water-soluble drugs cannot be over-emphasized. The higher free energy and therefore the apparent high solubility of the amorphous phase are some of the advantages for promoting the amorphous phase, as compared to its crystalline counterpart. It is well known that the amorphous phase is thermodynamically unstable. This might result in the conversion of the metastable form to its stable crystalline form during storage. This conversion might also lead to product failure during storage owing to the poor dissolution properties of the crystalline form. Excipients can play a key role in preventing such a transformation during storage as well as maximizing the therapeutic efficacy of the amorphous material. This book chapter intends to highlight the delivery issues pertaining to amorphous drugs with a special emphasis on the most commonly used excipients in stabilizing amorphous drug substances in formulations.

Four non-polymeric plasticizers, propylene glycol, diethyl phthalate, triacetin, and glycerin have been subjected to rising temperature thermogravimetry for kinetic analysis and vaporization-based thermal stability evaluation. Since volatile loss of a substance is a function of its vapor pressure, the thermal stability of these plasticizers has been analyzed by generating vapor pressure curves using the Antoine and Langmuir equations. Unknown Antoine constants for the sample compounds, triacetin and glycerin have been derived by subjecting the vapor pressure curves to nonlinear regression. For the first time, the entire process of obtaining the unknown Antoine constants through thermogravimetry has been validated by developing an approach called the 'double reference method.' Based on this method, it has been possible to show that this technique is accurate even for structurally diverse compounds. Kinetic analysis on the volatilization of compounds revealed a predominant zero order process. The activation energy values for vaporization of propylene glycol, diethyl phthalate, triacetin, and glycerin, as deduced from the Arrhenius plots, have been determined to be 55.80, 66.45, 65.12, and 67.54 kJ/mol, respectively. The enthalpies of vaporization of the compounds have been determined from the Clausius-Clapeyron plots. Rising temperature thermogravimetry coupled with nonlinear regression analysis has been shown to be an effective and rapid technique for accurately predicting the vapor pressure behavior and thermal stability evaluation of volatile compounds.

It has been observed that hindered settling experiments usually lead to voluminous data, which is usually characterized as “poorly reproducible”. Many factors might affect these techniques. The ability to control these parameters may result in a better analysis of the outcome and the correct estimation of the particle size. An attempt was made to investigate calcium oxalate monohydrate stability in the presence and absence of cholesterol, while determining the factors which may undermine the results obtained. The data may provide interesting information which may be used in other similar investigations to reduce the negative compacts caused by the low reproducibility. *Posthumously.

A new viscosity–capillary dipometer was designed and used in this investigation. Comparing this piece of equipment with other viscometers, the capillary dipometer is accurate, easy to operate, and much less expensive. The viscosities for calcium hydrogen phosphate and calcium oxalate suspensions are determined using the capillary dipometer. The data shows that this method is suitable for suspensions. This method could also be applied to other liquid dosage forms (i.e., emulsions) to provide quick and accurate results.

The drug acetazolamide (C4H6N4O3S2) was studied using a simultaneous thermogravimetric–differential thermal analysis (TG–DTA) unit. The study covered the temperature range of ambient to 600 °C. The DTA showed a melting point of 258.5 °C followed by a three-stage decomposition. The TG–DTG plots clearly show the decomposition when subjected to heat treatment in a nitrogen atmosphere. A kinetic analysis of all stages was attempted, where a zero-order process appeared to be the best fit mechanism and plots of ln k versus T−1 show this. The values of Eact are shown to vary throughout each stage as the reaction progressed.

This study attempts to identify the degradative process which folic acid undergoes under thermal stress. In order to facilitate the process, the various pieces of the chemical structure, namely, p -amino benzoic acid (PABA), pterin and glutamic acid as both its d - and l -isomers were investigated as separate entities. These structured pieces were then compared to the composite folic acid degradative thermogram in order to identify the peaks seen and provide direction for the interpolation of the degradative mechanism [Thermal stability of folic acid and associated excipients, M.Sc. thesis, 2001]. It was observed that none of the structural pieces could be superimposed as assumed earlier, and hence, an attempt was made to identify the decomposition products using various analytical techniques such as infrared (IR) spectroscopy, mass spectroscopy (MS) and X-ray diffraction (XRD) which suggested that the glutamic acid fragment is lost first as evidenced by acid loss and amide enhancement in the IR spectra. The vitamin was ultimately degraded to carbon fragments and that further identification was not necessary.

There are a number of substances used to calibrate various instruments with benzoic acid being an IUPAC recommended calibration material. It has gained recognition as a reference material because it exhibits an ‘‘ideal’’ behavior. Hence, benzoic acid is often used to aid in determining the enthalpy of sublimation values for various organic substances. In this study, the thermal behavior of benzoic acid is observed from a simultaneous thermogravimetry–differential thermal analysis (TG–DTA) unit. A series of tests under various experimental conditions is performed, and the results allow for the determination of the enthalpy of sublimation values for benzoic acid. The purpose of this study is to investigate the influence of experimental parameters, such as sample preparation procedures, heating rates, atmospheric conditions, and gas flow rates, on the calculated enthalpy of sublimation values. Enthalpy of vaporization for benzoic acid was also calculated. # 2002 Elsevier Science B.V. All rights reserved.

The Langmuir equation was used to construct vapor pressure curves for the sublimation phase of nicotinic acid. Three different approaches were used to calculate the pressure values. In the first, the ‘k’ term of the Langmuir equation was eliminated by comparing the sample with the reference compound, in the second, the actual values of the ‘k’ term were used and in the third approach, the ‘k’ term was kept constant. The vapor pressure curve constructed using the actual values of ‘k’ was in close agreement with the first. This indicates that the ‘k’ term of the Langmuir equation cannot be assumed to be constant and the systematic variation in the values of the ‘k’ term with temperature has to be taken into consideration.

The three naturally occurring available carbonates in northwest Ohio are magnesite, calcite and dolomite. Dolomite is a double carbonate containing calcium and magnesium carbonate in equimolar concentrations. All three carbonates decompose via a single stage process in an atmosphere of nitrogen. The thermal behavior and the kinetics of decomposition were studied using the Arrhenius equation applied to solid-state reactions. It was found that calcite and dolomite supposedly decompose via a zero order mechanism while magnesite decomposes via a first order process. The energy of activation for the decomposition of magnesite, calcite and dolomite were 226.34, 192.50 and 175.05 kJ/mol, respectively. Similarly the ln A-values for magnesite, calcite and dolomite decomposition were 30.70, 20.73 and 18.76, respectively. Finally, the effect of procedural variables on the kinetic parameters of dolomite decomposition was investigated. The three procedural variables studied included flow rate, heating rate and sample size. The kinetic parameters and mechanism remain unaffected by a change in these variables. # 2002 Elsevier Science B.V. All rights reserved.

The thermal behavior of cinnamyl alcohol, which is used in the perfume industry to create a sweet, balsamic and hyacinth-like fragrance, was examined with a simultaneous thermogravimetric–differential thermal analysis (TG–DTA) unit. The sample was subjected to a controlled rising temperature regime under a regulated purge gas flow rate. The evaporation rates and coefficient of evaporation were calculated from TG–DTG data. From the DTG curve, it was found that the evaporation of cinnamyl alcohol is a zero-order process. The activation energy and enthalpy of vaporization for the evaporation process were determined by the use of the Arrhenius and Clausius–Clapeyron equations, respectively. The enthalpy value was calculated to be 68.10±0.84 kJ, while the energy of activation was found to be 66.34±0.84 kJ. The Langmuir equation was applied to the evaporation data, enabling the vapor pressure curves to be determined.