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Tarumi Y, Higashiguchi Y, Sugano K. Correlation Between Dissolution Profiles of Salt-Form Drugs in Biorelevant Bicarbonate Buffer and Oral Drug Absorption: Importance of Dose/ Fluid Volume Ratio. Pharm Res 2025; 42:623-637. [PMID: 40186046 PMCID: PMC12055928 DOI: 10.1007/s11095-025-03854-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/27/2025] [Accepted: 03/26/2025] [Indexed: 04/07/2025]
Abstract
PURPOSE The purpose of this study was to investigate the correlation between the dissolution profiles of salt-form drugs in biorelevant bicarbonate buffer and oral drug absorption. METHODS Ciprofloxacin HCl (CPFX HCl), garenoxacin mesylate (GRNX MS), tosufloxacin tosylate (TFLX TS), levofloxacin free-form (LVFX FF), and sitafloxacin free-form (STFX FF) were employed as model drugs. Bicarbonate buffer fasted state simulated intestinal fluid (BCB-FaSSIF) was used as a biorelevant dissolution medium (pH 6.5, BCB 10 mM (floating lid method), taurocholic acid (3 mM) and lecithin (0.75 mM)). The fraction of a dose absorbed in humans (Fa) was predicted by a simple theoretical framework for oral drug absorption using equilibrium solubility at pH 6.5 (Seq,pH6.5) or average dissolved drug concentration in the dissolution tests (Cdissolv,AV). RESULTS Fa was adequately predicted using Seq,pH6.5 for LVFX FF and STFX FF, however, underpredicted for CPFX HCl (tenfold), GRNX MS (twofold), and TFLX TS (sevenfold). When compendial Dose/FV was used for the dissolution test of CPFX HCl, bulk pH (pHbulk) remained unchanged and Cdissolv,AV ≈ Seq,pH6.5, resulting in a tenfold underprediction of Fa. Using clinical Dose/FV, pHbulk was decreased, Cdissolv,AV was increased, resulting in adequate Fa prediction. Similarly, for GRNX MS and TFLX TS, Fa predictability was improved using Cdissolv,AV at clinical Dose/FV. In these conditions, Cdissolv,AV > Seq,pH6.5 due to decreased pHbulk below the first pKa of the drugs. CONCLUSION The use of clinical Dose/FV was important for improving the correlation between the biorelevant dissolution profiles and Fa for salt-form drugs.
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Affiliation(s)
- Yuki Tarumi
- Molecular Pharmaceutics Lab, College of Pharmaceutical Sciences, Ritsumeikan University, 1-1-1, Noji-Higashi, Kusatsu, Shiga, 525-8577, Japan
| | - Yuji Higashiguchi
- Molecular Pharmaceutics Lab, College of Pharmaceutical Sciences, Ritsumeikan University, 1-1-1, Noji-Higashi, Kusatsu, Shiga, 525-8577, Japan
| | - Kiyohiko Sugano
- Molecular Pharmaceutics Lab, College of Pharmaceutical Sciences, Ritsumeikan University, 1-1-1, Noji-Higashi, Kusatsu, Shiga, 525-8577, Japan.
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Meng F, Ibrahim F. Calculating pH-solubility profile and pH max for monoprotic salts of poorly water-soluble weak bases. Int J Pharm 2025; 673:125338. [PMID: 40010524 DOI: 10.1016/j.ijpharm.2025.125338] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/02/2025] [Revised: 02/03/2025] [Accepted: 02/09/2025] [Indexed: 02/28/2025]
Abstract
Pharmaceutical salts are a commonly used strategy to improve the bioavailability of poorly water-soluble active pharmaceutical ingredients (APIs). The selected salt form is expected to have high solubility to obtain optimal supersaturation and sufficient physical stability for adequate shelf life. In this paper, we aim to develop equations to describe critical parameters of salts, including pH-solubility profile and pHmax. The equations serve as a valuable tool to aid in the calculation of salt solubility at pH below the pHmax in the presence of common counter ions. This provides the knowledge to assess the risks of pre-selection of the salt formers without the necessity of salt synthesis. The solubilities calculated by this model demonstrate good agreement with experimental solubility results reported in the literature. Compared to the conventional approaches for salt solubility and pHmax calculation, our model stands out, especially for poorly water-soluble bases with low pKa values, which benefit the most from salt formation. Moreover, the equations are used to support the concept that salt selection should focus on finding salt forms with sufficient solubility, rather than the most soluble salt, as excessively high solubility could be detrimental to physical stability.
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Affiliation(s)
- Fan Meng
- Sanofi U.S., CMC Formulation, Synthetics Platform, 350 Water Street, MA 02141 Cambridge, USA.
| | - Fady Ibrahim
- Sanofi U.S., CMC Formulation, Synthetics Platform, 350 Water Street, MA 02141 Cambridge, USA
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3
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Avdeef A, Serajuddin ATM, Kandagatla HP. Aqueous Solubility of Sodium and Chloride Salts of Glycine─"Uncommon" Common-Ion Effects of Self-Titrating Solids. Mol Pharm 2025; 22:895-905. [PMID: 39754517 DOI: 10.1021/acs.molpharmaceut.4c01066] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2025]
Abstract
Although glycine is the simplest of the amino acids, its solution and solid-state properties are far from straightforward. The aqueous solubility of glycine plays an important role in various applications, including nutrition, food products, biodegradable plastics, and drug development. There is evidence that glycine in subsaturated pH 3-8 solutions forms a dimer, as suggested by several techniques. However, what takes place below pH 3 and above pH 8 in saturated solutions has been sparsely explored and is thought to exhibit complex properties. Although the solubility measurements in the pH 0-13 range have been reported by several groups, the interlaboratory variance between the data below pH 3 and above pH 8 has been high. In a couple of cases, there appears to be no pH dependence on solubility across the wide pH range, even though the reported glycine pKa values are 2.34 and 9.61. The solubility of the salt forms of glycine is largely uncharacterized. The solubility products of the simplest salts, glycine hydrochloride and sodium glycinate, appear not to have been published. In this study, five series of precision solubility measurements of glycine and its salts were performed at 25 °C, covering the range of pH -0.4 to 12.4, where in each case, just enough glycine was added to reach saturation. We have developed an equilibrium model to rationalize the complicated salt regions. Elemental analysis of isolated solids from saturated solutions supports the speciation model. At least three different salt forms have been indicated in acidic solutions and one salt form in alkaline solutions. Solubility products are reported here. The presence of a water-soluble cationic dimer is also proposed. Data analysis was performed with the aid of the pDISOL-X computer program. Activity corrections based on the Stokes-Robinson hydration theory have been implemented in saturated solutions with ionic strength in some cases exceeding 5 M. Although salt solubility is not a constant, since it depends on two independently controlled reactant concentrations, the salt solubility product is commonly expected to be a constant. However, in the glycine salt region below pH 3, our solubility measurements demonstrate that the solubility products depend on the total amount of added glycine in a saturated solution. We view this as an "uncommon" common-ion effect.
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Affiliation(s)
- Alex Avdeef
- in-ADME Research, New York, New York 10128, United States
| | - Abu T M Serajuddin
- Department of Pharmaceutical Sciences, College of Pharmacy and Health Sciences, St. John's University, 8000 Utopia Parkway, Queens, New York 11439, United States
| | - Hari P Kandagatla
- Department of Pharmaceutical Sciences, College of Pharmacy and Health Sciences, St. John's University, 8000 Utopia Parkway, Queens, New York 11439, United States
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Tarumi Y, Sugano K. Dissolution profiles of high-dose salt-form drugs in bicarbonate buffer and phosphate buffer. J Pharm Sci 2025; 114:477-485. [PMID: 39486519 DOI: 10.1016/j.xphs.2024.10.025] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/29/2024] [Revised: 10/15/2024] [Accepted: 10/16/2024] [Indexed: 11/04/2024]
Abstract
The purpose of the present study was to compare the dissolution profiles of high-dose salt-form drugs in bicarbonate buffer (BCB) and phosphate buffer (PPB) focusing on the pH changes in the bulk phase. The pH titration curves of BCB and PPB (pH 6.5, buffer capacity (β) = 4.4 mmol/L/pH unit) were first theoretically calculated and experimentally validated. For dissolution tests, six drug salts with an acid counterion, one drug salt with a weak base counterion, and one free acid drug were employed (125-800 mg clinical dose). The dose/fluid volume ratio (Dose/FV) was aligned with the clinical condition. In the pH titration study, the pH value decreased below pH 6.0 by adding HCl > 2.8 mmol/L (BCB) or > 1.6 mmol/L (PPB) and increased above pH 7.0 by adding NaOH > 2.0 mmol/L (BCB) or > 2.4 mmol/L (PPB). In the dissolution test, even though the initial pH and β values were the same, the pH value at 4 h was lower in PPB than in BCB in all cases. For the drug salts with an acid counterion, the area under the dissolution curve was 1.2 to 2.6-fold lower in BCB than in PPB. A marked precipitation process was observed in BCB, but less pronounced or absent in PPB. The results of this study suggest the use of BCB and a clinically equivalent Dose/FV may be valuable in predicting the oral absorption of high-dose drug salts.
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Affiliation(s)
- Yuki Tarumi
- Molecular Pharmaceutics Lab., College of Pharmaceutical Sciences, Ritsumeikan University, 1-1-1, Noji-higashi, Kusatsu, Shiga 525-8577, Japan
| | - Kiyohiko Sugano
- Molecular Pharmaceutics Lab., College of Pharmaceutical Sciences, Ritsumeikan University, 1-1-1, Noji-higashi, Kusatsu, Shiga 525-8577, Japan.
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Zöller L, Avdeef A, Karlsson E, Borde A, Carlert S, Saal C, Dressman J. A comparison of USP 2 and µDISS Profiler™ apparatus for studying dissolution phenomena of ibuprofen and its salts. Eur J Pharm Sci 2024; 193:106684. [PMID: 38154507 DOI: 10.1016/j.ejps.2023.106684] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/27/2023] [Revised: 12/05/2023] [Accepted: 12/25/2023] [Indexed: 12/30/2023]
Abstract
BACKGROUND Pharmaceutical salts of poorly soluble drugs typically dissolve faster than their corresponding free acid or base, resulting in supersaturation under some circumstances. The key questions relevant to drug bioavailability "does the salt invoke the supersaturated state?" and, if so, "does precipitation occur?" remain. To answer these questions, different types of dissolution equipment are often used at different stages of the development process. AIM To compare the dissolution behaviour of ibuprofen and its sodium and lysine salts in the USP 2 apparatus and the µDISS Profiler™ apparatus. The dissolution, supersaturation of the salt forms and precipitation to the free acid of ibuprofen were characterized along with the dissolution of the free acid form. METHODS Media containing different concentrations of the salt-forming counterions - sodium and lysine - were used to investigate the influence of the type of dissolution apparatus used for the study on dissolution, supersaturation and precipitation behaviour. KEY RESULTS Supersaturation was observed for both the sodium and lysinate salts of ibuprofen in all USP 2 apparatus and µDISS Profiler™ experiments. However, precipitation tended to be far greater in the µDISS Profiler™ than in the USP 2 apparatus. The difference was most pronounced in pH 4.5 acetate buffer, in which precipitation was observed exclusively in experiments with the µDISS Profiler™. CONCLUSION Choice of dissolution apparatus can affect the dissolution/supersaturation/precipitation characteristics of pharmaceutical salts. This has to be carefully taken into account when investigating salts over different stages of pharmaceutical research and development.
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Affiliation(s)
- Laurin Zöller
- Fraunhofer Institute of Translational Medicine and Pharmacology, Theodor-Stern-Kai 7, 60596 Frankfurt am Main, Germany
| | | | - Eva Karlsson
- Oral Product Development, Pharmaceutical Technology & Development, Operations, AstraZeneca Gothenburg, Pepparedsleden 1, 43150 Mölndal, Sweden
| | - Anders Borde
- Oral Product Development, Pharmaceutical Technology & Development, Operations, AstraZeneca Gothenburg, Pepparedsleden 1, 43150 Mölndal, Sweden
| | - Sara Carlert
- Advanced Drug Delivery, Pharmaceutical Sciences, Bio-Pharmaceuticals R&D, AstraZeneca Gothenburg, Pepparedsleden 1, 43150 Mölndal, Sweden
| | - Christoph Saal
- Boehringer Ingelheim Pharma GmbH & Co. KG, Birkendorfer Strasse 65, 88400 Biberach an der Riss, Germany
| | - Jennifer Dressman
- Fraunhofer Institute of Translational Medicine and Pharmacology, Theodor-Stern-Kai 7, 60596 Frankfurt am Main, Germany.
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Shah HS, Michelle C, Xie T, Chaturvedi K, Kuang S, Abramov YA. Computational and Experimental Screening Approaches to Aripiprazole Salt Crystallization. Pharm Res 2023; 40:2779-2789. [PMID: 37127778 DOI: 10.1007/s11095-023-03522-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/23/2023] [Accepted: 04/12/2023] [Indexed: 05/03/2023]
Abstract
INTRODUCTION The screening of multicomponent crystal system (MCC) is a key method for improving physicochemical properties of active pharmaceutical ingredients (APIs). The challenges associated with experimental salt screening include a large number of potential counterions and solvent systems and tendency to undergo disproportionation to produce free form during crystallization. These challenges may be mitigated by a combination of experimental and computational approaches to salt screening. The goal of this study is to evaluate performance of the counterion screening methods and propose and validate novel approaches to virtual solvent screening for MCC crystallization. METHODS The actual performance of the ΔpKa > 3 rule for counterion selection was validated using multiple screenings reports. Novel computational models for virtual solvent screening to avoid MCC incongruent crystallization were proposed. Using the ΔpKa rule, 10 acid counterions were selected for experimental aripiprazole (APZ) salt screening using 10 organic solvents. The experimental results were used to validate the proposed novel virtual solvent screen models. RESULTS Experimental APZ salt screening resulted in a total of eight MCCs which included glucuronate, mesylate, oxalate, tartrate, salicylate and mandelate. The new model to virtually screen solvents provided a general agreement with APZ experimental findings in terms of selecting the optimal solvent for MCC crystallization. CONCLUSION The rational selection of counterions and organic solvents for MCC crystallization was presented using combined novel computational model as well as experimental studies. The current virtual solvent screen model was successfully implemented and validated which can be easily applied to newly discovered APIs.
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Affiliation(s)
- Harsh S Shah
- J-Star Research Inc., 6 Cedarbrook Drive, Cranbury, NJ, 08512, USA.
| | | | - Tian Xie
- J-Star Research Inc., 6 Cedarbrook Drive, Cranbury, NJ, 08512, USA
| | | | - Shanming Kuang
- J-Star Research Inc., 6 Cedarbrook Drive, Cranbury, NJ, 08512, USA
| | - Yuriy A Abramov
- J-Star Research Inc., 6 Cedarbrook Drive, Cranbury, NJ, 08512, USA.
- Eshelman School of Pharmacy, University of North Carolina, Chapel Hill, NC, USA.
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Developing In Situ Chemometric Models with Raman Spectroscopy for Monitoring an API Disproportionation with a Complex Polymorphic Landscape. Pharmaceuticals (Basel) 2023. [DOI: 10.3390/ph16020327] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/24/2023] Open
Abstract
An in situ Raman method was developed to characterize the disproportionation of two salts involving a complex polymorphic landscape comprising up to two metastable and one stable freebase forms. Few precedents exist for Raman calibration procedures for solid form quantitation involving more than two polymorphs, while no literature examples were found for cases with multiple metastable forms. Therefore, a new Raman calibration procedure was proposed by directly using disproportionation experiments to generate multiple calibration samples encompassing a range of polymorph ratios through in-line Raman measurements complemented by off-line reference X-ray diffraction measurements. The developed Raman methods were capable of accurately quantitating each solid form in situ when solid concentration variation was incorporated into the calibration dataset. The kinetic understanding of the thermodynamically driven polymorphic conversions gained from this Raman method guided the selection of the salt best suited for the delivery of the active ingredient in the drug product. This work provided a spectroscopic and mathematical approach for simultaneously quantitating multiple polymorphs from a complex mixture of solids with the objective of real-time monitoring.
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Avdeef A, Kansy M. Trends in PhysChem Properties of Newly Approved Drugs over the Last Six Years; Predicting Solubility of Drugs Approved in 2021. J SOLUTION CHEM 2022. [DOI: 10.1007/s10953-022-01199-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
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9
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Kádár S, Csicsák D, Tőzsér P, Farkas A, Pálla T, Mirzahosseini A, Tóth B, Tóth G, Fiser B, Horváth P, Madarász J, Avdeef A, Takács-Novák K, Sinkó B, Borbás E, Völgyi G. Understanding the pH Dependence of Supersaturation State-A Case Study of Telmisartan. Pharmaceutics 2022; 14:pharmaceutics14081635. [PMID: 36015261 PMCID: PMC9412861 DOI: 10.3390/pharmaceutics14081635] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/14/2022] [Revised: 07/29/2022] [Accepted: 08/02/2022] [Indexed: 11/23/2022] Open
Abstract
Creating supersaturating drug delivery systems to overcome the poor aqueous solubility of active ingredients became a frequent choice for formulation scientists. Supersaturation as a solution phenomenon is, however, still challenging to understand, and therefore many recent publications focus on this topic. This work aimed to investigate and better understand the pH dependence of supersaturation of telmisartan (TEL) at a molecular level and find a connection between the physicochemical properties of the active pharmaceutical ingredient (API) and the ability to form supersaturated solutions of the API. Therefore, the main focus of the work was the pH-dependent thermodynamic and kinetic solubility of the model API, TEL. Based on kinetic solubility results, TEL was observed to form a supersaturated solution only in the pH range 3–8. The experimental thermodynamic solubility-pH profile shows a slight deviation from the theoretical Henderson–Hasselbalch curve, which indicates the presence of zwitterionic aggregates in the solution. Based on pKa values and the refined solubility constants and distribution of macrospecies, the pH range where high supersaturation-capacity is observed is the same where the zwitterionic form of TEL is present. The existence of zwitterionic aggregation was confirmed experimentally in the pH range of 3 to 8 by mass spectrometry.
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Affiliation(s)
- Szabina Kádár
- Department of Organic Chemistry and Technology, Budapest University of Technology and Economics, 3 Műegyetem rkp., 1111 Budapest, Hungary
| | - Dóra Csicsák
- Department of Pharmaceutical Chemistry, Semmelweis University, 9 Hőgyes Endre Street, 1092 Budapest, Hungary
| | - Petra Tőzsér
- Department of Organic Chemistry and Technology, Budapest University of Technology and Economics, 3 Műegyetem rkp., 1111 Budapest, Hungary
| | - Attila Farkas
- Department of Organic Chemistry and Technology, Budapest University of Technology and Economics, 3 Műegyetem rkp., 1111 Budapest, Hungary
| | - Tamás Pálla
- Department of Pharmaceutical Chemistry, Semmelweis University, 9 Hőgyes Endre Street, 1092 Budapest, Hungary
| | - Arash Mirzahosseini
- Department of Pharmaceutical Chemistry, Semmelweis University, 9 Hőgyes Endre Street, 1092 Budapest, Hungary
| | - Blanka Tóth
- Department of Inorganic and Analytical Chemistry, Budapest University of Technology and Economics, Műegyetem rkp. 3, 1111 Budapest, Hungary
| | - Gergő Tóth
- Department of Pharmaceutical Chemistry, Semmelweis University, 9 Hőgyes Endre Street, 1092 Budapest, Hungary
| | - Béla Fiser
- Institute of Chemistry, University of Miskolc, Miskolc-Egyetemváros, 3515 Miskolc, Hungary
- Ferenc Rákóczi II Transcarpathian Hungarian College of Higher Education, 90200 Berehove, Ukraine
| | - Péter Horváth
- Department of Pharmaceutical Chemistry, Semmelweis University, 9 Hőgyes Endre Street, 1092 Budapest, Hungary
| | - János Madarász
- Department of Inorganic and Analytical Chemistry, Budapest University of Technology and Economics, Műegyetem rkp. 3, 1111 Budapest, Hungary
| | - Alex Avdeef
- In-ADME Research, 1732 First Ave., #102, New York, NY 10128, USA
| | - Krisztina Takács-Novák
- Department of Pharmaceutical Chemistry, Semmelweis University, 9 Hőgyes Endre Street, 1092 Budapest, Hungary
| | - Bálint Sinkó
- Pion Inc., 10 Cook Street, Billerica, MA 01821, USA
| | - Enikő Borbás
- Department of Organic Chemistry and Technology, Budapest University of Technology and Economics, 3 Műegyetem rkp., 1111 Budapest, Hungary
- Correspondence: (E.B.); (G.V.)
| | - Gergely Völgyi
- Department of Pharmaceutical Chemistry, Semmelweis University, 9 Hőgyes Endre Street, 1092 Budapest, Hungary
- Correspondence: (E.B.); (G.V.)
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Marković OS, Patel NG, Serajuddin ATM, Avdeef A, Verbić TŽ. Nortriptyline Hydrochloride Solubility-pH Profiles in a Saline Phosphate Buffer: Drug-Phosphate Complexes and Multiple pH max Domains with a Gibbs Phase Rule "Soft" Constraints. Mol Pharm 2022; 19:710-719. [PMID: 35050628 DOI: 10.1021/acs.molpharmaceut.1c00919] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The solubility of a model basic drug, nortriptyline (Nor), was investigated as a function of pH in phosphate and/or a chloride-containing aqueous suspension using experimental practices recommended in the previously published "white paper" (Avdeef et al., 2016). The pH-Ramp Shake-Flask (pH-RSF) method, introduced in our earlier work (Marković et al., 2019), was applied. An improved and more detailed experimental design of the Nor solubility measurement allowed us to exploit the full capacity of the pH-RSF method. Complex equilibria in the aqueous phase (cationic and anionic complex formation between Nor and the phosphate) and solid-phase transformations (Nor free base, 1:1 Nor hydrochloride salt, 1:1 and 1:2 Nor phosphate salts) were characterized by a detailed analysis of the solubility measurements using the computer program pDISOL-X. The solid phases were characterized by thermogravimetric analysis, differential scanning calorimetry, powder X-ray diffraction, and elemental analyses. The results of the present investigation illustrate the influence of competing counterions, such as buffering agents, complexing agents, salt coformers, tonicity adjusters, and so forth, on the aqueous solubility of drugs and interconversion of salts. Careful attention given to these factors can be helpful in the formulation of drug products.
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Affiliation(s)
- Olivera S Marković
- Institute of Chemistry, Technology and Metallurgy, Department of Chemistry, University of Belgrade, Njegoševa 12, 11000 Belgrade, Republic of Serbia
| | - Nirali G Patel
- College of Pharmacy and Health Sciences, St. John's University, 8000 Utopia Parkway, Queens, New York 11439, United States
| | - Abu T M Serajuddin
- College of Pharmacy and Health Sciences, St. John's University, 8000 Utopia Parkway, Queens, New York 11439, United States
| | - Alex Avdeef
- in-ADME Research, 1732 First Avenue #102, New York, New York 10128, United States
| | - Tatjana Ž Verbić
- Faculty of Chemistry, University of Belgrade, Studentski trg 12-16, 11000 Belgrade, Republic of Serbia
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