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Investigation of Drug-Excipient Interactions in Biclotymol Amorphous Solid Dispersions Benjamin Schammé, Nicolas Couvrat, Vincent Tognetti, Laurent Delbreilh, Valérie Dupray, Eric Dargent, and Gérard Coquerel Mol. Pharmaceutics, Just Accepted Manuscript • DOI: 10.1021/acs.molpharmaceut.7b00993 • Publication Date (Web): 12 Jan 2018 Downloaded from http://pubs.acs.org on January 14, 2018
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Molecular Pharmaceutics
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Investigation of Drug-Excipient Interactions in
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Biclotymol Amorphous Solid Dispersions
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Benjamin Schammé † §, Nicolas Couvrat †, Vincent Tognetti ‡, Laurent Delbreilh § *, Valérie
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Dupray † *, Éric Dargent §, Gérard Coquerel †
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† Normandie Univ, UNIROUEN, Sciences et Méthodes Séparatives, 76000, Rouen, France
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§ Normandie Univ, UNIROUEN, INSA Rouen, CNRS, Groupe de Physique des Matériaux,
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76000 Rouen, France
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‡ Normandie Univ, UNIROUEN, INSA Rouen, CNRS, COBRA UMR 6014, 76821 Mont-Saint-
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Aignan, France
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* Corresponding authors:
[email protected]. Tel: +33 2 32 39 90 82 (V.D.)
[email protected]. Tel: +33 2 32 95 50 84 (L.D.)
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Table of Contents Graphic
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Abstract
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The effect of low molecular weight excipients on drug-excipient interactions, molecular mobility
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and propensity to recrystallization of an amorphous active pharmaceutical ingredient is
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investigated.
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Pentaacetylglucose), five different drug:excipient ratios (1:5, 1:2, 1:1, 2:1 and 5:1, w/w) and
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three different solid state characterization tools (Differential Scanning Calorimetry, X-Ray
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Powder Diffraction and Dielectric Relaxation Spectroscopy) were selected for the present
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research. Our investigation has shown that the excipient concentration likewise with its
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molecular structure reveal quasi-identical molecular dynamic behavior of solid dispersions
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above and below the glass transition temperature. Across to complementary quantum
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mechanical simulations, we pointed out a clear indication of a strong interaction between
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Biclotymol and the acetylated saccharides. Moreover, the thermodynamic study on these
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amorphous solid dispersions highlighted a stabilizing effect of α-Pentaacetylglucose regardless
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its quantity while an excessive concentration of β-Pentaacetylglucose reveal a poor
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crystallization inhibition. Finally, through long-term stability studies, we also showed the
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limiting excipient concentration needed to stabilize our amorphous API. Herewith, the developed
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procedure in this paper appears to be a promising tool for solid-state characterization of
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complex pharmaceutical formulations.
Two
structurally
related
excipients
(α-Pentaacetylglucose
and
β-
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Keywords
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Amorphous Solid Dispersion; Molecular Mobility; Dielectric Spectroscopy; Physical Stability;
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Biclotymol; Excipients; Density Functional Theory
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Molecular Pharmaceutics
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Introduction
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Formulation procedures involve the presence of crystalline matter, in particular in the pharmaceutical
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industry.1 Active substances currently developed have become more and more complex, with a
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decreasing solubility. Indeed, over half of potential new pharmaceuticals exhibits poor water
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solubility leading to a limited bioavailability.2 As this proportion is likely to increase, improving the
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biodisponibility of these new drugs presents a significant technological challenge for pharmaceutical
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scientists.3–6 Numerous strategies have been devised and put forward in order to transform a
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crystalline drug into a more soluble counterpart.7,8 Among them, formulation of amorphous solids is
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a promising one.9–12 In opposition to the three-dimensional order of crystalline matter, amorphous
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solids are the most energetic solid state of a material and result in higher dissolution rate.13 However,
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the higher free energy of amorphous compounds is accountable for inherent thermodynamic
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instability14 including structural relaxation and nucleation/crystal growth that may arise during
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storage or dissolution in the human organism.15,16 Indeed, during their storage, amorphous states (as
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well as metastable states) may undergo unintended transformations to stable crystalline forms,
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altering their therapeutic properties in an uncontrolled manner.17 Consequently, keeping the benefits
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and promoting the use of amorphous compounds in pharmaceutical formulations requires a correct
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mastering of the amorphous state along with innovative approaches to extend its lifetime.18
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In this sense, stabilization of amorphous active substances is of particular interest to the
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pharmaceutical industry.19–26 Among suppression of crystallization of labile Active
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Pharmaceutical Ingredients (APIs), preparation of homogeneous dispersions are often conducted
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with a thorough complex mix of an active substance and excipient.27–31 A miscible solid
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dispersion of a drug and an additive is set as a unique chemically homogeneous phase where all
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components are narrowly mixed at the molecular level.32 From there, properties of the formulation
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are different from the properties of the pure components. Crystallization of the pharmaceutical
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ingredient into the blend can generate non-miscibility as the drug is in a separate crystalline state.
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Moreover, a resulting phase separation could be demonstrated by two existing amorphous phases.
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Felodipine, for instance, is completely miscible with polyvinylpyrrolidone (PVP)33 allowing an
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inhibition of crystallization while with poly acrylic acid, the system tends to effortlessly crystallize
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due to a partial miscibility.34
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Experimental studies reported that association of an active pharmaceutical ingredient with specific
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excipients such as antiplasticizers, surfactants or polymers could yield to an amorphous solid
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dispersion with a greater resilience to crystallization during downstream operations and storage. Over
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several years, polymers have been shown to modify solid-state crystallization of amorphous APIs
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arising from their stabilizing effect.35,36 This stabilization stems from several possible explanations
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including specific polymer-drug interactions, destabilization of drug interactions or reduction of
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molecular mobility. Since crystallization has a complex character, all these mechanisms together
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must be viewed as a whole: stabilization effect cannot be attributed to a single mechanism. Among
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the polymer class, plenty of them own a high glass transition temperature typically greater than
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100 °C. Thus, a high Tg polymer combined with a drug with a low Tg, ensures a higher glass
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transition temperature as it obeys to the Gordon Taylor law.37 Moreover, a higher glass transition
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temperature might result in a lower tendency to recrystallize. Indeed, addition of a polymer can act as
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an antiplasticizer; molecular mobility of the amorphous drug would therefore be limited. Restrained
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drug molecules would not be able to generate a stable nucleus, limiting crystallization outcomes. Yet,
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increase of Tg of the solid dispersion could not be considered as the main factor preventing
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crystallization since studies indicated that inhibiting crystallization could be accomplished even when
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Tg is not decreased or affected.38,39 It therefore appears that specific molecular interactions between
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APIs and excipients exist and could be accountable for stabilization of amorphous active
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pharmaceuticals.
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Molecular Pharmaceutics
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The significance of specific interactions between the amorphous state of a drug and an additive has
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also been broadly discussed in the background of crystallization from an amorphous matrix. On the
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basis of Fourier Transform Infrared (FTIR) and Raman spectroscopies, Indomethacin and
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Polyvinylpyrrolidone were shown to interoperate through intermolecular hydrogen bonding.40 It was
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postulated that drug / polymer hydrogen bonding interactions were relevant for stabilizing
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amorphous Indomethacin by disorganizing Indomethacin dimer’s self-association, even at low
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polymer concentrations where the antiplasticizing effect of the polymer is minimal. Likewise, FTIR
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analyses along with theoretical calculations have attested the presence of molecular interactions of
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hydrogen bonding type between Celecoxib and Polyvinylpyrrolidone.41
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More recently, the research work of Paluch and co-workers evidenced the considerable potential of
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low molecular weight excipients as carbohydrate derivatives with acetate groups (i.e. acetylated
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saccharides) to enhance the physical and chemical stability of amorphous drugs.42–52 Although
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several parameters are relevant for stabilization of amorphous dispersions, the group of Prof. Paluch
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indicated that the glass transition temperature might not be the only criterion for ensuring long-term
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stability of amorphous API in binary systems and highlighted the formation of inter and
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intramolecular interactions in the formed solid dispersions. However, despite examples of promising
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results between possible interaction among excipients and an amorphous drug, there can be specific
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cases where no particular interaction is observed between the amorphous drug substance and the
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excipient; physical stability could therefore be accounted to kinetic factors.
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As of now, a rationalization of interactions for APIs/excipients was still not reached due to the low
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number of molecular compounds analyzed. With this in mind, this current study investigates the
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effect of low molecular weight excipients on stabilization mechanism, molecular mobility and
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the inclination to recrystallization of amorphous Biclotymol. This active pharmaceutical
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ingredient which is used for the treatment of otolaryngology infections has been subject to
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several studies regarding its crystallization kinetics and stability.53,54 To investigate Biclotymol
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amorphous solid dispersions, we selected series of acetylated saccharides namely α-
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Pentaacetylglucose (α-acGLU) and β-Pentaacetylglucose (β-acGLU) (Figure 1). A specific
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feature of these two low molecular weight excipients is their chemical structure. When compared
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to non-modified saccharides, acetylated derivatives are found to possess acetyl groups instead of
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hydrogen atoms. As a matter of fact, this substitution towards acetyl groups has a significant
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influence on intermolecular interactions: non-modified glucose is a strongly associating liquid
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whereas acetylic systems are typical Van der Waals liquids. Acetylated derivatives are rich in
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oxygen which is a good acceptor for hydrogen bonds, but do not have proton donors. Therefore,
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acetylated derivatives cannot create hydrogen bonds on their own.
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To do so, impact of components concentration, molecular structure and size of the excipient and
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attainable interactions onto the molecular dynamics of the amorphous drug dosage were
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regarded. Then, for the purpose of selecting the appropriate API-excipient blend, critical
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characteristics of components are examined to provide insights into stabilization mechanisms as
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well as the impact of intermolecular interactions on the life expectancy of amorphous
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formulations.
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Experimental Methods
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Materials
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Biclotymol (C21H26Cl2O2, Mw = 381.32 g/mol) received as a crystalline white powder was kindly
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provided by Pharmasynthese (Inabata Group). No impurity was detected under high performance
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liquid chromatography-sustained conditions. The compound was consequently used without
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prepurification. An X-ray pattern of commercial Biclotymol was recorded and revealed a
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completely anhydrous crystalline form, in agreement with Rantsordas et al. (Cambridge
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Structural Database (CSD-MYCMPP).55 This Active Pharmaceutical Ingredient (API) exists in
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two crystalline varieties, one stable (Form I) and one metastable (Form II) in a monotropic
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relationship.56,53,57,54 α-Pentaacetylglucose (α-acGLU, C16H22O11, Mw = 390.34 g/mol) with
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purity greater than 99% was purchased from Sigma-Aldrich whereas β-Pentaacetylglucose (β-
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acGLU, C16H22O11, Mw = 390.34 g/mol) with purity greater than 98% was purchased from Alfa
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Aesar. These two compounds were used without prepurification. Developed formulae of
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Biclotymol, α-Pentaacetylglucose and β-Pentaacetylglucose are shown in Figure 1.
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Figure 1. Developed formulae of the Biclotymol molecule (A) and Haworth projection of
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chemical structures of α-Pentaacetylglucose (B) and β-Pentaacetylglucose (β-acGLU) (C).
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Preparation of Amorphous Systems
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The amorphous Biclotymol, α-Pentaacetylglucose (α-acGLU) and β-Pentaacetylglucose (β-
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acGLU) as well as binary systems with different weight fractions of acetylated saccharides were
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prepared by the quench cooling technique. In order to obtain homogeneous Biclotymol-
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acetylated saccharide solid dispersions, crystalline powders of both compounds were first
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thoroughly mixed by hand mortar and pestle milling for five minutes (operation was repeated
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twice). Crystalline mixtures were fully melted (Tm Biclotymol = 125.6 °C, Tm α-acGLU = 112.6 °C, Tm β-
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acGLU
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metal crucible to a very cold metal plate. Heating rates were only of 10 K/min while cooling
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rates were always greater than 50 K/min, with a time spent in the melt of two minutes.
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No separation, cracks or heterogeneity of the sample have been detected. Only completely
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amorphous samples obtained in this way were analyzed immediately after preparation to protect
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them from atmospheric moisture and any structural changes. A total of ten mixtures of
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Biclotymol with acetylated saccharides were investigated. For each excipient (α-acGLU and β-
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acGLU), various weight ratios as 5:1, 2:1, 1:1, 1:2 and 1:5 were prepared. The first number
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corresponds to the weight ratio of Biclotymol whereas second number corresponds to the weight
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ratio of excipients (α-acGLU or β-acGLU).
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= 131.2 °C) and quenched either in-situ inside the DSC pan or ex-situ by a transfer of a
Dielectric Relaxation Spectroscopy (DRS)
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Measurements were carried out in a frequency range of 10−2 – 2.106 Hz with a Novocontrol
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Alpha Analyzer. Dielectric spectra were collected over a wide temperature range from -140 to
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100 °C, with appropriate successive steps. Accurate temperature control was implemented using
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the Quatro system (Novocontrol Technologies), allowing a temperature stability of ± 0.2 °C.
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Amorphous solid dispersions were analyzed using high-quality interdigitated electrodes from
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Novocontrol Technologies (sensor diameter 20 mm, gold-plated copper combs) as previously
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outlined in other papers.58–60
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X-ray Powder Diffraction (XRPD)
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XRPD analyses of solid mixtures were recorded on a benchtop INEL Equinox 100
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diffractometer, mounted with a copper micro focus tube (λ = 1.541 Å), equipped with a curved
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detector. The acquisitions are performed by reflexion in real time up to 110° in 2θ, at 40 kV, 10
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mA with a metal rotating sample holder. A spinning sample holder has been used to overcome
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preferential crystallization effects (Ø 15 mm in diameter and Ø 0.5 mm in thickness). XRPD
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duration was of 10 min and performed directly after the production of samples.
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Temperature-Modulated Differential Scanning Calorimetry (TM-DSC)
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The thermodynamic properties of solid dispersions were investigated by the TM-DSC technique.
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Calorimetric measurements were performed on a Q2000 DSC instrument (TA Instruments)
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coupled with a liquid-nitrogen cooling system. Temperature and enthalpy calibrations were
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carried out with both indium and benzophenone standards. Specific heat capacities were
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measured using sapphire as a reference. Baseline was calibrated from -20 to 200 °C, with an
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oscillation amplitude of ± 0.318 K, an oscillation period of 60 s, and a heating rate of 2 K/min
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used in the experiments. The samples (5.00 ± 0.05 mg) were enclosed in sealed hermetic
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aluminum pans Tzero, and the atmosphere was regulated by a nitrogen flow (50 mL/min).
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Raman Spectroscopy
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Raman analyzes were carried out with a Confocal Raman microscope (LabRam HR by Jobin-
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Yvon Horiba) coupled to an optical microscope (model BX41, Olympus) with xyz mapping
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stage. The excitation of Raman scattering was operated by a He-Ne laser at a wavelength of
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632.8 nm. The laser beam was focused on the sample by a microscope objective X50. The
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confocal pinhole was of 200 µm diameter. The Raman signal was analyzed using a 600 lines per
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mm grating and a spectrometer slit of 100 µm. A 25 µm x 25 µm area was analyzed by steps of 1
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µm. The resolution was estimated to 0.5 µm in (X,Y) and 9 µm in (Z). An exposure time of 15 s
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was used to record the Raman Spectra over the wavenumber range 2700-3200 cm-1 with a one-
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time accumulation. The duration of the data collection was adjusted in order to minimize the
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background signal.
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Computational details
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Theoretical calculations for molecular interactions of Biclotymol-α-acGLU and Biclotymol-β-
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acGLU were performed within the framework of density functional theory (DFT) using the
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Gaussian 09 package.61 The initial geometries for the isolated molecules were obtained from the
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respective crystalline structures of Biclotymol, α-Pentaacetylglucose (α-acGLU) and β-
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Pentaacetylglucose (β-acGLU), and were optimized with the dispersion corrected B97D exchange-
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correlation functional.62 Forty structures for the bimolecular complexes (twenty for the Biclotymol-
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α-acGLU and twenty for Biclotymol-β-acGLU) were generated using our own fully quantum
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simulated annealing63, based on high temperature semi-empirical PM6 molecular dynamics
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simulations, followed by root-mean-square deviation (RMSD) filtering and a subsequent DFT
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optimization with small basis sets, finally completed by a second RMSD filtering before final
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optimization at the high level of theory, for which the following basis set combination was
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chosen: 6-31+G(d) for Cl and O, 6-31G(d) for C and H. The nature of stationary points were
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checked by vibrational analysis (harmonic frequencies). Complexation energies, Ecomplexation,
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were calculated as Ecomplexation = E(AB) - E(A)opt - E(B)opt with E(AB) the energy of the complex
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A…B, and E(A)opt that for the optimized fragment A with the basis functions centered on A.
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Interaction energies, Einteraction, were corrected for basis set superposition error using the standard
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Boys−Bernardi counterpoise method64: Einteraction = E(AB) - EA…B (A) - EA…B (B) with EA…B (A)
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the self-consistent field (SCF) energy of fragment A with the full basis of A and B at the
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geometry A takes in the complex. Gibbs energies were evaluated using standard statistical
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physics formula based on the ideal gas partition function. However, in order to better describe
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entropy in condensed phase, all contributions for rotational and translational entropies were
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removed since mobility in such phases is considerably reduced.
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Molecular Pharmaceutics
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Results and Discussion
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Structural and Thermodynamic Characterization of Amorphous Solid Dispersions
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The first part of this section is dedicated to the safe preparation (without thermal decomposition)
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of amorphous acetylated saccharides alone and solid dispersions formed between acetylated
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saccharides and Biclotymol by quench cooling from the melt. Thermogravimetric measurements
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were carried on the commercial crystalline forms to check whether these compounds undergo
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thermal degradation during the melting process. We checked that the melting endotherms of the
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crystalline forms of α-acGLU (Tm α-acGLU = 112.6 °C) and β-acGLU (Tm β-acGLU = 131.2 °C) are
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located far from the range of their thermal decomposition. TGA curves indicate that the onset of
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thermal decomposition of α-acGLU and β-acGLU begins above 155 °C (see Figure S1,
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Supporting Information). Besides, Biclotymol (Tm Biclotymol = 127 °C) exhibits no degradation up
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to 180 °C.53 Therefore, these results show that melting the crystalline forms of Biclotymol as
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well as acetylated saccharides and preparing various amorphous compositions based on both
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compounds by vitrification from cooling the melt is safe. Moreover, it should be noted that the
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melting temperatures of Biclotymol and derived saccharides are very similar. Mixing of
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compounds in their liquid states could thus be promptly performed without the hazard of
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components overheating. A merely simple observation shows the creation of homogeneous
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solutions, in any weight ratio. It is worth noting that preparation of the solid dispersions by
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quench cooling of the melt does not consume a lot of time and does not require using any
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additional solvents in contrast to the other amorphous binary mixtures prepared for instance by
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the solvent evaporation and precipitation techniques. In order to confirm the amorphous nature of
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quench-cooled acetylated saccharides, the XRPD technique was applied. Figure 2 demonstrates
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that Biclotymol, α-acGLU and β-acGLU can be transformed into amorphous solids with the
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selected procedure.
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Figure 2. X-Ray powder diffraction patterns obtained for α-acGLU (blue line), β-acGLU (red
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line) and Biclotymol (purple line) (A) before melt-quenching and (B) after melt-quenching.
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Beam cut-off was located close to 6.5° (2θ).
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Amorphous nature of these excipients was also confirmed using TM-DSC analyses. Figure 3
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(upper black curves) shows the sharp endothermic events corresponding to the melting process
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of the commercial stable crystalline forms. After quenching from the melt, a subsequent
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temperature-modulated DSC heating scan from the glassy state reveals well-defined Cp jumps.
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For α-acGLU and β-acGLU, exothermic events are noticed corresponding to the emerging cold
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crystallization. At higher temperatures, it is followed by sharp endothermic event corresponding
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to the melting of the crystalline form obtained beforehand.
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Molecular Pharmaceutics
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Figure 3. TM-DSC measurements of crystalline and amorphous forms of Biclotymol (top panel),
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α-acGLU (left panel) and β-acGLU (right panel). (1) Melting of the commercial stable form, (2)
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glass transition region, (3) crystallization of the supercooled melt to the crystalline form, (4)
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melting of the crystalline form.
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It is remarkable that both pentaacetyl derivatives (differing only in location of the acetyl group
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attached to the first carbon in the sugar ring), α-acGLU and β-acGLU, possess different
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crystallization tendencies but practically the same values of Tg, fragilities and molecular
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dynamics as highlighted by a recent study of Kaminski and coworkers.42 This enabled these
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authors to postulate that, except for kinetic and thermodynamic factors, molecular conformation
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may play an important role in controlling crystallization abilities of glass-formers.
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To confirm the homogeneity of prepared amorphous solid dispersions, confocal Raman
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spectroscopy has been applied. In recent years, Raman mapping has been effectively applied to
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amorphous drug systems thanks to its high-spatial resolution.65,66 In this sense, spatial
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distribution of chemical species can be attained. In the framework of Biclotymol and acetylated
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saccharides solid dispersions, Raman spectrum analysis for characteristic bands associated with
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Biclotymol and α-acGLU / β-acGLU was performed. We selected the characteristic band of
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amorphous Biclotymol located at 2871 cm-1 as well as the one of acGLU and β-acGLU at 2939
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cm-1 (see Figure S2, Supporting Information). Raman mapping for all ten mixtures, measured at
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room temperature, showed homogeneous distribution in the selected wavenumber region,
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attesting the uniformity of our amorphous solid dispersions.
283 284
Figure 4 presents diffraction patterns of the physical mixtures after melt-quenching. In the case
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of the Biclotymol - α-acGLU mixtures no Bragg peaks are visible. Instead, broad amorphous
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halo patterns characteristic of materials having no long-range three-dimensional molecular order,
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were obtained. The crystalline Biclotymol fraction is not visible for compositions 2:1 and 5:1
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(i.e. enriched in Biclotymol) while it was clearly observed in the XRPD patterns of the
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crystalline mixtures (see Figure S3, Supporting Information). On the other hand, a totally
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different scenario was noticed for Biclotymol - β-acGLU mixtures. In Figure 4 (right panel),
291
sharp Bragg peaks are present indicating the presence of crystals in the investigated samples.
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However, Bragg peaks are only observable for physical mixtures of 1:2 and 1:5 ratios of
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Biclotymol - β-acGLU. With a closer scrutiny on Figure 4 (right panel), characteristic Bragg
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peaks of crystalline β-acGLU can be retrieved while no Bragg peaks of crystalline Form I or
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Form II of Biclotymol can be seen (see Figure S4, Supporting Information). However, one
296
cannot rule out the potential presence of a low fraction of crystallized Biclotymol in the solid
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dispersions, non-detectable by XRPD. Therefore, for enriched compositions in β-acGLU, the
298
resulting mixture seems to possess fast kinetics of crystallization towards the stable crystalline
299
form of β-acGLU, although XRPD have been recorded immediately after quenching.
300 301
Figure 4. X-ray Powder Diffraction patterns for melt-quenched representative mixtures: (left
302
panel) melt-quenched Biclotymol-α-acGLU and (right panel) melt-quenched Biclotymol-β-
303
acGLU. XRPD analysis was performed directly after the production of samples.
304
One prominent feature in the use of stabilizers is the possibility to suppress a potential
305
crystallization phenomenon. Figure 5 shows TM-DSC measurements recorded upon heating
306
fused-quenched mixtures. For Biclotymol - α-acGLU system, only one endothermic event
307
associated with the glass transition is noticed within the whole examined temperature range. No
308
additional event that could indicate an exothermic cold crystallization or the presence of
309
heterogeneity (segregation) in the sample was observed. Therefore, the non-occurrence of cold-
310
crystallization whatever the temperature, is an indication of the increased stability of amorphous
311
Biclotymol. Conversely, in Figure 5 (right panel), solid dispersions of 1:2 and 1:5 ratios of
312
Biclotymol - β-acGLU are characterized by a strong tendency toward cold-crystallization to the
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crystalline form of β-acGLU. The enthalpy of the exothermal processes increases with the
314
percentage of β-acGLU (∆Hc 1:2 = 25.4 J/g and ∆Hc 1:5 = 42.1 J/g) which seems to be in line with
315
our previous analyses. Solid dispersions of Biclotymol with the two investigated acetylated
316
disaccharides attest the presence of a single glass transition event, regardless the excipient’s
317
weight ratio. Besides, values of the glass transition temperatures for all investigated solid
318
dispersions are nearly the same, as attested by reversing heat capacity values of solid dispersions
319
(see Figures S5 and S6, Supporting Information). This finding is not surprising because even
320
tough amorphous solid dispersions conform to a Gordon-Taylor law, the Tg of pure components
321
are very similar.
322 323
Figure 5. TM-DSC thermograms obtained for melt-quenched Biclotymol-α-acGLU (left panel)
324
and melt-quenched Biclotymol-β-acGLU (right panel) solid dispersions during heating.
325
The structural (XRPD) and thermal (TM-DSC) findings presented above seem to indicate that
326
the amorphous solid dispersions exhibit a very different behaviour between the two selected
327
excipients in the presence of Biclotymol. In one case, there is no crystallization of either
328
Biclotymol and α-acGLU in the Biclotymol- α-acGLU solid dispersions while for Biclotymol-β-
329
acGLU, crystallization of β-acGLU occurs for 1:2 and 1:5 ratios. However, even if no trace of
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crystalline Biclotymol has been seen in above experiments, its presence cannot be totally
331
excluded. It might be argued that the difference between Tm and Tg could have a potential impact
332
on the evolution of the crystallization driving forces. In the same way, position of the maxima of
333
nucleation and growth of the solid dispersions made with either α-acGLU or β-acGLU will be
334
constrained differently due to the Tm - Tg difference.
335
To monitor the stability of amorphous solid dispersions, new freshly samples were prepared,
336
stored under normal conditions of use and structurally analyzed (Figure 6). It has been found that
337
for the highest concentration of acetylated saccharides (i.e. 1:2 and 1:5), presence of crystalline
338
α-acGLU (Figure 6, left panel) and β-acGLU (Figure 6, right panel) is still noticeable after four
339
months of storage. This is also the case for solid dispersions enriched in Biclotymol (i.e. 5:1)
340
where crystalline Form I of Biclotymol is detectable. In these two specific cases, one can note
341
the valuable information that recrystallization of Biclotymol toward its metastable Form II could
342
be inhibited by addition of modified saccharides. Thus, the right mixing ratio would be a drug
343
loading of Biclotymol two times larger than the selected excipient (ratio of 2:1) as no
344
crystallization was highlighted for both excipients.
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345 346
Figure 6. X-ray Powder Diffraction patterns for melt-quenched representative mixtures after 4
347
months of storage at 293 K, 30% RH: (left panel) melt-quenched Biclotymol-α-acGLU and
348
(right panel) melt-quenched Biclotymol-β-acGLU.
349
Molecular Dynamics of Amorphous Solid Dispersions
350
Various features can play a role on the stabilization mechanisms of amorphous materials. Among
351
them molecular mobility is widely considered.67 To characterize the molecular dynamics of our
352
amorphous solid dispersions at several temperatures, dielectric measurements were completed. It
353
has been proven in recent years that this experimental procedure provides a precise investigation
354
of glass-forming systems by looking at relaxation processes at temperatures lower and higher
355
than the glass transition temperature.68–71
356
Figure 7, Figure 8 and Figure 9 display selected dielectric spectra for pure Biclotymol, α-acGLU,
357
β-acGLU and as well as their representative amorphous solid dispersions.
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Figure 7. Imaginary (ε″) parts of the complex dielectric permittivity vs frequency in the glassy
360
(T < Tg) and supercooled liquid states (T > Tg) for (a) pure α-acGLU, (b) β-acGLU and (c) pure
361
Biclotymol. Left vertical axe corresponds to the imaginary permittivity of the α-process while
362
right vertical axe represents the γ-process.
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363 364
Figure 8. Dielectric loss spectra of representative amorphous solid dispersions between
365
Biclotymol and α-acGLU, analyzed above and below Tg. (a) Biclotymol - α-acGLU 1:5 (b)
366
Biclotymol - α-acGLU 1:2 (c) Biclotymol - α-acGLU 1:1 (d) Biclotymol - α-acGLU 2:1 (e)
367
Biclotymol - α-acGLU 5:1. Left vertical axe corresponds to the imaginary permittivity of the α-
368
process while right vertical axe represents the γ-process.
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Figure 9. Dielectric loss spectra of representative amorphous solid dispersions between
371
Biclotymol and β-acGLU, analyzed above and below Tg. (a) Biclotymol - β-acGLU 1:5 (b)
372
Biclotymol - β-acGLU 1:2 (c) Biclotymol - β-acGLU 1:1 (d) Biclotymol - β-acGLU 2:1 (e)
373
Biclotymol - β-acGLU 5:1. Left vertical axe corresponds to the imaginary permittivity of the α-
374
process while right vertical axe represents the γ-process.
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Key characteristics can be monitored: at low frequencies, dc-conductivity can be identified.
376
Moving toward higher frequencies, the structural α-relaxation associated with the dynamic glass
377
transition can be observed. These two phenomena were found to shift toward lower frequencies
378
upon cooling. In addition, below Tg, in the glassy state, one distinct secondary relaxation
379
(denoted γ-relaxation) was noticed for pure Biclotymol, α-acGLU, β-acGLU as well as for the
380
amorphous solid dispersions. As emphasized in Figure 7, Figure 8 and Figure 9, dielectric
381
spectra obtained illustrate the uniformity of all of our amorphous solid dispersions since one
382
single clearly discernible α-relaxation was highlighted. In addition, no Maxwell-Wagner
383
relaxation process (often emerging in phases separating systems) was detected along all our
384
blends, further confirming the overall homogeneity of as-prepared solid dispersions.72 Besides,
385
additional analysis of structural relaxation loss peaks across the one-sided Fourier transform of
386
the Kohlrausch−Williams−Watts (KWW)73 function revealed that stretching parameter βKWW
387
remains steady over the entire temperature range (βKWW
388
temperature has nearly no impact on the shape of the α-relaxation process but once more confirm
389
the uniformity of our amorphous blends (see Figure S7, Supporting Information).
mean value
= 0.62). This highlights that
390 391
Primary and secondary relaxations of pure compounds and amorphous solid dispersions were
392
analyzed by means of a single Vogel-Fulcher-Tammann74–76 (VTF) and an Arrhenius equation,
393
respectively (detailed description of the data fitting can be found in Supporting Information).
394
Determined relaxation times were plotted as a function of the inverse of the temperature as
395
displayed in the relaxation map in Figure 10 (temperature dependence of the fit parameters αHN
396
and βHN as well as enlarged view of the caption can be seen in Figures S8, S9 and S10). From the
397
estimated parameters of VTF fits, Tg can be readily estimated at dielectric relaxation time τα =
398
100 s (Table 1). It should be emphasized that all primary α-relaxation processes lie in the same
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399
temperature region, highlighting almost identical Tg values as well as the fragility component,
400
regardless of the selected excipient. Taking into account errors on fragility values, we could
401
consider that such a parameter is concentration-independent. Moreover, Tg values obtained by
402
DRS are somewhat lower compared to those obtained from TM-DSC measurements but are in
403
accordance with the value of Tg for τα = 10 s (corresponding to the equivalent frequency of the
404
TM-DSC analysis).77
405 406
Figure 10. Relaxation map of pure Biclotymol, pure α-acGLU, pure β-acGLU and amorphous
407
solid dispersions. Solid gray lines are the VTF fits to the of structural α-relaxation times,
408
illustrated by filled symbols. Temperature dependence of the secondary γ-relaxations is
409
illustrated by open symbols and was fitted by the Arrhenius equation.
410
Table 1. Glass transition temperatures (Tg) of pure Biclotymol and pure excipients (α-acGLU
411
and β-acGLU) determined from TM-DSC and DRS, fragilities obtained from DRS data and
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412
activation energy barriers Ea γ of the secondary relaxation observed in solid dispersion blends.
413
The uncertainty of the glass transition temperatures is ± 1 K while errors for fragility and
414
activation energies is of 10 %, standard error for polymers.78
Sample
Tg from TM-DSC (in K)
Tg from DRS (in K) (τα = 10 s)
Tg from DRS (in K) (τα = 100 s)
Fragility (from DRS)
Pure Biclotymol Pure α-acGLU Pure β-acGLU
293 290 294
293 286 292
290 283 288
88 97 85
Activation energy barriers of γrelaxation (in kJ/mol) 75.3 45.3 42.5
Biclotymol- α-acGLU 1:5 Biclotymol- α-acGLU 1:2 Biclotymol- α-acGLU 1:1 Biclotymol- α-acGLU 2:1 Biclotymol- α-acGLU 5:1
289 291 293 295 297
287 289 292 294 295
284 286 289 290 291
91 89 94 91 84
41.2 43.7 39.2 49.2 35.3
Biclotymol- β-acGLU 1:5 Biclotymol- β-acGLU 1:2 Biclotymol- β-acGLU 1:1 Biclotymol- β-acGLU 2:1 Biclotymol- β-acGLU 5:1
293 292 293 295 293
290 290 291 294 294
287 287 288 291 291
86 87 92 87 85
41.9 38.5 48.4 43.2 31.3
415 416
In order to analyze the progress of crystallization, the temperature dependence of the dielectric
417
strength (∆εα) of the α-relaxation versus temperature for all examined amorphous solid
418
dispersions as well as pure components was outlined in Figure 11. As defined by Onsager,
419
Fröhlich, and Kirkwood equation72, by increasing the temperature, the dielectric relaxation
420
strength ∆εα decreases for all samples.72,79 Similar trends can be seen for other glass-forming
421
systems as polymers80 and pharmaceutical substances.81
422 423
Interestingly, by contrast to similar glass transition temperatures obtained for all mixtures,
424
dielectric strength values for solid dispersions do not follow a classical mixing rule. As shown in
425
Figure 11 a), the dielectric strength of Biclotymol-α-acGLU amorphous solid dispersions is
426
relatively high and clustered around ∆εα = 8 to 11, except for the blend with an enriched
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427
Biclotymol composition which is consistently closer to pure Biclotymol. Relating to Biclotymol-
428
β-acGLU amorphous solid dispersions in Figure 11 b), blends made of 1:1, 2:1 and 5:1 possess
429
the same behavior pattern. In contrast, compositions enriched with excipients (1:2 and 1:5) have
430
lower ∆εα against other compositions. This certainly seems reasonable as the density of dipoles
431
involved in the relaxation process (i.e. amount of relaxing amorphous phase) should be falling
432
due to the onset of recrystallization of these formulations as displayed in Figure 5. This
433
difference in terms of ∆εα may originate from the spatial distribution of acetylated carbohydrates
434
with respect to Biclotymol molecules and may lead to a change of the strength of the
435
intermolecular interactions in amorphous solid dispersions.
436 437
Figure 11. Temperature dependence of the dielectric strength for α- relaxation (∆εα) versus
438
temperature for all investigated amorphous solid dispersions. Left panel a) corresponds to
439
Biclotymol-α-acGLU blends while right panel b) matches with Biclotymol-β-acGLU mixtures.
440
With reference to the glassy state of solid dispersions, pure Biclotymol demonstrates the highest
441
activation energy barrier Ea
442
Tripathi et al. (Ea = 75.5 kJ/mol).57 As for this API, the molecular origin of its secondary
443
relaxation was previously discussed. With the use of dielectric spectroscopy, Tripathi et al.
444
suggested a likely intramolecular secondary dynamic involving the hydrogen bonds formed by
γ-Biclotymol,
close to 75.3 kJ/mol in accordance with that found by
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445
the hydroxyl groups of Biclotymol. Pure acetylated saccharides, α-acGLU and β-acGLU, own
446
lower activation energy barriers of Ea
447
respectively. Those values are in the range determined by Kaminski et al.42 Addition of modified
448
saccharides, in whatever amount, give rise to a single secondary relaxation process. The
449
activation energy barriers ascertained for the γ-relaxations are comparable, within the range of 35
450
- 49 kJ/mol for Biclotymol-α-acGLU and 31 - 48 kJ/mol for Biclotymol-β-acGLU (Table 1).
451
These values are similar to the ones of pure α-acGLU and β-acGLU, suggesting the involvement
452
of the same molecular motions. Owing to their relatively low Ea values, secondary processes in
453
our solid dispersions originate most likely from an intramolecular origin. According to an earlier
454
study, this stems from the motion of acetyl sequences in modified carbohydrates.82 We can
455
therefore consider that the secondary relaxation process occurring in solid dispersions is linked
456
to intramolecular mechanisms associated with short-range intermolecular interactions within
457
Biclotymol and the selected excipient. This is supported by the relaxation map in Figure 10,
458
depicting that the secondary γ-relaxations show nearly no energy variations but rather
459
temperature changes, supporting the potential impact of intermolecular interactions in
460
amorphous mixtures. In addition to this, by taking into account the possible formation of
461
hydrogen-bonds between Biclotymol and the acetylated saccharides, one would think that the
462
intramolecular γ-relaxation could be inhibited if some these H-bonds are related to the molecular
463
parts able to generate the relaxation (at least for some of the pure components in the mixture).
γ-α-acGLU =
45.3 kJ/mol and Ea
γ-β-acGLU =
42.5 kJ/mol,
464 465
It seems clear from the above findings that molecular mobility of investigated amorphous solid
466
dispersions made of Biclotymol and pentaacetyl derivatives are very alike. Investigated
467
formulations reveal a homogenous character with a single structural mechanism along with a
468
unique noticeable secondary relaxation process for all blends. In this way, the observed
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469
discrepancies by XRPD and DSC between solid dispersions made with α-acGLU and β-acGLU
470
were not spotlighted by dielectric measurements, known to finely characterize the amorphous
471
state. Hence, the excipient concentration likewise with its molecular structure tends to reveal
472
quasi-identical molecular dynamic behavior of solid dispersions above and below the glass
473
transition temperature. This indicates that a crystalline environment composed of β-acGLU, in
474
the case of unstable solid dispersions 1:2 and 1:5 of Biclotymol - β-acGLU, does not impact the
475
resulting amorphous fraction in terms of molecular mobility. On the other hand, the
476
thermodynamic study on solid dispersions highlighted a stabilizing effect of α-acGLU regardless
477
its quantity while an excessive concentration of β-acGLU (blends 1:2 and 1:5) would promote an
478
inclination to recrystallization to the crystalline form β-acGLU and physical instability. The
479
difference here with regard to a classical stabilization protocol83 lies in the fact that selected API
480
(i.e. Biclotymol) and excipients (i.e. α-acGLU and β-acGLU) possess quasi-identical glass
481
transition temperature, very close to room temperature. Therefore, the obtained results would
482
suggest that in solid dispersions, the glass transition temperature is not the only factor for the
483
stabilization and that molecular interactions between API and excipient could yield to greater
484
resilience to devitrification. With this viewpoint, complementary quantum mechanical
485
simulations have been conducted.
486 487
Modelling of Amorphous Solid Dispersions
488
Quantum simulations happen to become increasingly popular in the pharmaceutical field,
489
especially due to its usefulness in the interpretation of vibrational spectra (for experimental band
490
assignment mainly)84 or for the validation of molecular structures by means of identification of
491
conformational minima.85 Indeed, a significant increase in the use of density functional theory
492
(DFT) has been recorded over the past decades in computational chemistry, from medium to
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493
large molecules, including pharmaceuticals.86–89 Therefore, we performed DFT calculations in
494
order to provide a more complete picture of the interactions between Biclotymol and selected
495
acetylated saccharides.
496
To this aim, an extensive sampling of the potential energy surface was performed, leading to the
497
location of many energy minima, which are collected in the supplementary information file
498
(Figures S11 and S12). The most stable optimized structures of Biclotymol-α-acGLU and
499
Biclotymol-β-acGLU systems are displayed in Figure 12. The most negative values for the
500
calculated complexation energies for both systems were very alike, with values of -91.1 kJ/mol
501
for Biclotymol-α-acGLU and -95.8 kJ/mol for Biclotymol-β-acGLU. Besides, interaction
502
energies (which do not take into account the deformation energy necessary to form the complex
503
from the isolated molecules at their energy minimum) are even closer since they equal -110.70
504
kJ/mol for Biclotymol-α-acGLU and -110.13 kJ/mol Biclotymol-β-acGLU.
505
These results provide a clear indication of a strong interaction between Biclotymol and the
506
acetylated saccharides. With respect to non-covalent interactions, a single hydrogen bond (C40-
507
O43...H65-C64) was noticed with a distance of 1.97 Å for Biclotymol-α-acGLU complexes (Figure
508
12 (A)), while two hydrogen bonds were found for Biclotymol-β-acGLU: one of intramolecular
509
origin (C54-O64…H67-O66 = 1.75 Å) and one of intermolecular nature (C44-O45…H65-O64) with a
510
distance of 1.85 Å (Figure 12 (B)), which could account for the very slight higher stability of the
511
dimer formed by β-acGLU. However, on account of their complexity, it has proved difficult to
512
achieve detection of Raman bands related to the new hydrogen bonds in the recorded spectra.
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Molecular Pharmaceutics
513 514
Figure 12. Optimized structures of Biclotymol-α-acGLU (upper panel) and Biclotymol-β-
515
acGLU (lower panel) and corresponding complexation energies.
516
However, one should keep in mind that our DFT calculations, consistent with those in the
517
literature, were made on a ratio of one molecule of API with one molecule of excipient. Actually,
518
the hydrogen bonds network revealed by the DFT calculations suggests that collective effects
519
involving many molecules could be at stake, a behavior that fully unravel the drug loading effect
520
in the amorphous solid dispersions. Temperature certainly is an important factor to account for
521
the dynamics of these complexes. Even if our DFT calculations describe static properties,
522
temperature effects can actually be incorporated through the evaluation of standard Gibbs
523
complexation energies. Indeed, the most negative values were found to be equal to -93.7 kJ/mol
524
(Biclotymol-β-acGLU) and -109.9 kJ/mol (Biclotymol-α-acGLU). This not-negligible difference
525
can be ascribed to vibrational entropies (Svib), the –TSvib(AB) values amounting to -278.1 kJ/mol
526
and -287.5 kJ/mol, respectively. This indicates that even if interaction and complexation energies
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527
are almost identical, temperature-dependent properties could differ for the two mixings. This
528
could explain why the two systems could appear similar or different depending on the
529
experimental technics used to study them.
530
Conclusions
531
In this paper, amorphous solid dispersions formed by a series of low molecular weight
532
excipients, i.e. acetylated saccharides, and Biclotymol were investigated. Effect of these
533
excipients on drug-excipient interactions, molecular mobility and recrystallization outcomes
534
were considered. We have shown that homogeneous amorphous solid dispersions can be safely
535
prepared and analyzed by means of various experimental techniques and also investigated by
536
molecular modelling techniques. Our findings show that the molecular mobility above and below
537
the glass transition temperature cannot be considered as the only factor for stabilization of solid
538
dispersions. Indeed, the glass transition temperatures of the solid dispersions, irrespective of the
539
ratio, are very close, a feature that was related to very similar interaction and complexation
540
energies (close to 100 kJ/mol in absolute value) as revealed by density functional theory
541
calculations. In addition, stability study showed the limiting excipient concentration needed to
542
stabilize our amorphous API for several months under classical storage conditions. The results of
543
the above study acted as the basis for further analyses, in particular toward a deeper
544
characterization of other complex formulations of molecular alloys, structured by a network of
545
intramolecular and intermolecular hydrogen bonds, before and after the cold-crystallization for
546
instance.
547
Supporting Information Description
548
TGA analysis, Raman spectra, XRPD patterns, TM-DSC analyses, DRS spectra and fitting
549
procedure, molecular complexes simulated by DFT.
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Molecular Pharmaceutics
550
Acknowledgement
551
The Region Normandie is acknowledged for financial support to B. S. via the E.D. No. 591
552
(PSIME). The authors would like also to acknowledge the high-performance computing facility
553
(CRIANN) funded by the Region Haute Normandie.
554
Author Contributions
555
The manuscript was written through contributions of all authors. All authors have given approval
556
to the final version of the manuscript.
557
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558
References
559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604
(1) (2)
(3) (4)
(5)
(6)
(7)
(8) (9)
(10)
(11)
(12)
(13)
(14)
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Molecular Pharmaceutics
Figure 1. Developed formulae of the Biclotymol molecule (A) and Haworth projection of chemical structures of α-Pentaacetylglucose (B) and β-Pentaacetylglucose (β-acGLU) (C). 163x115mm (150 x 150 DPI)
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Molecular Pharmaceutics 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
Figure 2. X-Ray powder diffraction patterns obtained for α-acGLU (blue line), β-acGLU (red line) and Biclotymol (purple line) (A) before melt-quenching and (B) after melt-quenching. Beam cut-off was located close to 6.5° (2θ). 272x208mm (300 x 300 DPI)
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Molecular Pharmaceutics
Figure 3. TM-DSC measurements of crystalline and amorphous forms of Biclotymol (top panel), α-acGLU (left panel) and β-acGLU (right panel). (1) Melting of the commercial stable form, (2) glass transition region, (3) crystallization of the supercooled melt to the crystalline form, (4) melting of the crystalline form. 272x208mm (300 x 300 DPI)
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Molecular Pharmaceutics 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
Figure 4. X-ray Powder Diffraction patterns for melt-quenched representative mixtures: (left panel) meltquenched Biclotymol-α-acGLU and (right panel) melt-quenched Biclotymol-β-acGLU. XRPD analysis was performed directly after the production of samples. 272x208mm (300 x 300 DPI)
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Molecular Pharmaceutics
Figure 5. TM-DSC thermograms obtained for melt-quenched Biclotymol-α-acGLU (left panel) and meltquenched Biclotymol-β-acGLU (right panel) solid dispersions during heating. 272x208mm (300 x 300 DPI)
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Molecular Pharmaceutics 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
Figure 6. X-ray Powder Diffraction patterns for melt-quenched representative mixtures after 4 months of storage at 293 K, 30% RH: (left panel) melt-quenched Biclotymol-α-acGLU and (right panel) melt-quenched Biclotymol-β-acGLU. 272x208mm (300 x 300 DPI)
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Molecular Pharmaceutics
Figure 7. Imaginary (ε″) parts of the complex dielectric permittivity vs frequency in the glassy (T < Tg) and supercooled liquid states (T > Tg) for (a) pure α-acGLU, (b) β-acGLU and (c) pure Biclotymol. Left vertical axe corresponds to the imaginary permittivity of the α-process while right vertical axe represents the γprocess. 272x208mm (300 x 300 DPI)
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Molecular Pharmaceutics 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
Figure 8. Dielectric loss spectra of representative amorphous solid dispersions between Biclotymol and αacGLU, analyzed above and below Tg. (a) Biclotymol - α-acGLU 1:5 (b) Biclotymol - α-acGLU 1:2 (c) Biclotymol - α-acGLU 1:1 (d) Biclotymol - α-acGLU 2:1 (e) Biclotymol - α-acGLU 5:1. Left vertical axe corresponds to the imaginary permittivity of the α-process while right vertical axe represents the γ-process. 272x208mm (300 x 300 DPI)
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Molecular Pharmaceutics
Figure 9. Dielectric loss spectra of representative amorphous solid dispersions between Biclotymol and βacGLU, analyzed above and below Tg. (a) Biclotymol - β-acGLU 1:5 (b) Biclotymol - β-acGLU 1:2 (c) Biclotymol - β-acGLU 1:1 (d) Biclotymol - β-acGLU 2:1 (e) Biclotymol - β-acGLU 5:1. Left vertical axe corresponds to the imaginary permittivity of the α-process while right vertical axe represents the γ-process. 272x208mm (300 x 300 DPI)
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Molecular Pharmaceutics 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
Figure 10. Relaxation map of pure Biclotymol, pure α-acGLU, pure β-acGLU and amorphous solid dispersions. Solid gray lines are the VTF fits to the of structural α-relaxation times, illustrated by filled symbols. Temperature dependence of the secondary γ-relaxations is illustrated by open symbols and was fitted by the Arrhenius equation. 288x201mm (300 x 300 DPI)
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Molecular Pharmaceutics
Figure 11. Temperature dependence of the dielectric strength for α- relaxation (∆εα) versus temperature for all investigated amorphous solid dispersions. Left panel a) corresponds to Biclotymol-α-acGLU blends while right panel b) matches with Biclotymol-β-acGLU mixtures. 272x208mm (300 x 300 DPI)
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Molecular Pharmaceutics 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
Figure 12. Optimized structures of Biclotymol-α-acGLU (upper panel) and Biclotymol-β-acGLU (lower panel) and corresponding complexation energies. 272x208mm (300 x 300 DPI)
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