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Tower CW, Lay-Fortenbery A, Su Y, Munson EJ. Predicting the Stability of Formulations Containing Lyophilized Human Serum Albumin and Sucrose/Trehalose Using Solid-State NMR Spectroscopy. Mol Pharm 2024; 21:3163-3172. [PMID: 38781678 DOI: 10.1021/acs.molpharmaceut.3c01085] [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: 05/25/2024]
Abstract
Stabilization of proteins by disaccharides in lyophilized formulations depends on the interactions between the protein and the disaccharide (system homogeneity) and the sufficiently low mobility of the system. Human serum albumin (HSA) was lyophilized with disaccharides (sucrose and/or trehalose) in different relative concentrations. Solid-state nuclear magnetic resonance (ssNMR) spectroscopy 1H T1 and 1H T1ρ relaxation times were measured to determine the homogeneity of the lyophilized systems on 20-50 and 1-3 nm domains, respectively, with 1H T1 relaxation times also being used to determine the β-relaxation rate. HSA/sucrose systems had longer 1H T1 relaxation times and were slightly more stable than HSA/trehalose systems in almost all cases shown. HSA/sucrose/trehalose systems have 1H T1 relaxation times between the HSA/sucrose and HSA/trehalose systems and did not result in a more stable system compared with binary systems. Inhomogeneity was evident in a sample containing relative concentrations of 10% HSA and 90% trehalose, suggesting trehalose crystallization during lyophilization. Under these stability conditions and with these ssNMR acquisition parameters, a 1H T1 relaxation time below 1.5 s correlated with an unstable sample, regardless of the disaccharide(s) used.
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Affiliation(s)
- Cole W Tower
- Department of Industrial and Molecular Pharmaceutics, Purdue University, West Lafayette, Indiana 47907, United States
| | - Ashley Lay-Fortenbery
- Pharmaceutical Sciences and Clinical Supply, Merck & Co., Inc., Rahway, New Jersey 07065, United States
| | - Yongchao Su
- Analytical Research and Development, Merck & Co., Inc., Rahway, New Jersey 07065, United States
| | - Eric J Munson
- Department of Industrial and Molecular Pharmaceutics, Purdue University, West Lafayette, Indiana 47907, United States
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2
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Vallaster B, Engelsing F, Grohganz H. Influence of water and trehalose on α- and β-relaxation of freeze-dried lysozyme formulations. Eur J Pharm Biopharm 2024; 194:1-8. [PMID: 38029940 DOI: 10.1016/j.ejpb.2023.11.019] [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: 08/07/2023] [Revised: 11/22/2023] [Accepted: 11/23/2023] [Indexed: 12/01/2023]
Abstract
Molecular mobility in form of alpha and beta relaxations is considered crucial for characterization of amorphous lyophilizates and reflected in the transition temperatures Tgα and Tgβ. Based on an overview of applied methods to study beta relaxations, Dynamic Mechanical analysis was used to measure Tgα and Tgβ in amorphous freeze-dried samples. Lysozyme and trehalose as well as their mixtures in varying ratios were investigated. Three different residual moisture levels, ranging from roughly 0.5-7 % (w/w), were prepared via equilibration of the freeze-dried samples. Known plasticising effects of water on Tgα were confirmed, also via differential scanning calorimetry. In addition and contrary to expectations, an influence of water on the Tgβ also was observed. On the other hand, an increasing amount of trehalose lowered Tgα but increased Tgβ showing that Tgα and Tgβ are not paired. The findings were interpreted with regard to their underlying molecular mechanisms and a correlation with the known influences of water and trehalose on stability. The results provide encouraging hints for future stability studies of freeze-dried protein formulations, which are urgently needed, not least for reasons of sustainability.
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Affiliation(s)
- Bernadette Vallaster
- Department of Pharmacy, University of Copenhagen, Universitetsparken 2 2100, Copenhagen, Denmark
| | - Florian Engelsing
- Department of Pharmacy, University of Copenhagen, Universitetsparken 2 2100, Copenhagen, Denmark
| | - Holger Grohganz
- Department of Pharmacy, University of Copenhagen, Universitetsparken 2 2100, Copenhagen, Denmark.
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3
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Nadarajan J, Walters C, Pritchard HW, Ballesteros D, Colville L. Seed Longevity-The Evolution of Knowledge and a Conceptual Framework. PLANTS (BASEL, SWITZERLAND) 2023; 12:471. [PMID: 36771556 PMCID: PMC9919896 DOI: 10.3390/plants12030471] [Citation(s) in RCA: 12] [Impact Index Per Article: 12.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 12/22/2022] [Revised: 01/12/2023] [Accepted: 01/14/2023] [Indexed: 06/18/2023]
Abstract
The lifespan or longevity of a seed is the time period over which it can remain viable. Seed longevity is a complex trait and varies greatly between species and even seed lots of the same species. Our scientific understanding of seed longevity has advanced from anecdotal 'Thumb Rules,' to empirically based models, biophysical explanations for why those models sometimes work or fail, and to the profound realisation that seeds are the model of the underexplored realm of biology when water is so limited that the cytoplasm solidifies. The environmental variables of moisture and temperature are essential factors that define survival or death, as well as the timescale to measure lifespan. There is an increasing understanding of how these factors induce cytoplasmic solidification and affect glassy properties. Cytoplasmic solidification slows down, but does not stop, the chemical reactions involved in ageing. Continued degradation of proteins, lipids and nucleic acids damage cell constituents and reduce the seed's metabolic capacity, eventually impairing the ability to germinate. This review captures the evolution of knowledge on seed longevity over the past five decades in relation to seed ageing mechanisms, technology development, including tools to predict seed storage behaviour and non-invasive techniques for seed longevity assessment. It is concluded that seed storage biology is a complex science covering seed physiology, biophysics, biochemistry and multi-omic technologies, and simultaneous knowledge advancement in these areas is necessary to improve seed storage efficacy for crops and wild species biodiversity conservation.
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Affiliation(s)
- Jayanthi Nadarajan
- The New Zealand Institute for Plant and Food Research Limited, Food Industry Science Centre, Palmerston North 4410, New Zealand
| | - Christina Walters
- USDA—Agricultural Research Service, National Laboratory for Genetic Resources Preservation, Fort Collins, CO 80521, USA
| | - Hugh W. Pritchard
- Royal Botanic Gardens, Kew, Wakehurst, Ardingly, Haywards Heath RH17 6TN, UK
- Chinese Academy of Sciences, Kunming Institute of Botany, Kunming 650201, China
| | - Daniel Ballesteros
- Faculty of Farmacy, Department of Botany and Geology, University of Valencia, Av. Vicent Estelles s/n, 46100 Valencia, Spain
| | - Louise Colville
- Royal Botanic Gardens, Kew, Wakehurst, Ardingly, Haywards Heath RH17 6TN, UK
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Zhao P, Han W, Shu Y, Li M, Sun Y, Sui X, Liu B, Tian B, Liu Y, Fu Q. Liquid-liquid phase separation drug aggregate: Merit for oral delivery of amorphous solid dispersions. J Control Release 2023; 353:42-50. [PMID: 36414193 DOI: 10.1016/j.jconrel.2022.11.033] [Citation(s) in RCA: 5] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/20/2022] [Revised: 11/15/2022] [Accepted: 11/16/2022] [Indexed: 11/23/2022]
Abstract
As a promising strategy, amorphous solid dispersion has been extensively employed in improving the oral bioavailability of insoluble drugs. Despite the numerous advantages, the problems associated with supersaturation stability limit its further application. Recently, the formation and stability of the liquid-liquid phase separation drug aggregate (LLPS-DA) have been found to be vital for supersaturation maintenance. An in-depth review of LLPS-DA was required to further explore the supersaturation maintenance mechanism in vivo. Hence, this study aimed to present a short review to introduce the LLPS-DA, highlight the in vivo advantages for oral administration, and discuss the prospects to help understand the in vivo behavior of LLPS-DA.
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Affiliation(s)
- Peixu Zhao
- Wuya College of Innovation, Shenyang Pharmaceutical University, No. 103, Wenhua Road, Shenyang 110016, China
| | - Wen Han
- Wuya College of Innovation, Shenyang Pharmaceutical University, No. 103, Wenhua Road, Shenyang 110016, China
| | - Yecheng Shu
- Wuya College of Innovation, Shenyang Pharmaceutical University, No. 103, Wenhua Road, Shenyang 110016, China
| | - Mo Li
- Liaoning Institute for Drug Control, No. 7 Chongshan West Road, Shenyang 110016, China
| | - Yichi Sun
- School of Pharmacy, Shenyang Pharmaceutical University, No. 103, Wenhua Road, Shenyang 110016, China
| | - Xiaofan Sui
- Liaoning Institute for Drug Control, No. 7 Chongshan West Road, Shenyang 110016, China
| | - Bingyang Liu
- Wuya College of Innovation, Shenyang Pharmaceutical University, No. 103, Wenhua Road, Shenyang 110016, China
| | - Baocheng Tian
- School of Pharmacy, Binzhou Medical University, No. 346, Guanhai Road, Yantai 264003, China
| | - Yanhua Liu
- Department of Pharmaceutics, Ningxia Medical University, 1160 Shengli Street, Yinchuan 750004, China
| | - Qiang Fu
- Wuya College of Innovation, Shenyang Pharmaceutical University, No. 103, Wenhua Road, Shenyang 110016, China.
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5
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Tukra R, Gardner S, Topp EM. Effects of temperature and relative humidity in D 2O on solid-state hydrogen deuterium exchange mass spectrometry (ssHDX-MS). Int J Pharm 2021; 596:120263. [PMID: 33486024 DOI: 10.1016/j.ijpharm.2021.120263] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/26/2020] [Revised: 01/07/2021] [Accepted: 01/10/2021] [Indexed: 11/15/2022]
Abstract
Lyophilized powders containing myoglobin and various excipients were subjected to ssHDX-MS at different temperatures and D2O vapor activity (RH). Deuterium incorporation was fitted to a bi-exponential association model for each formulation and the dependence of regression parameters on temperature and RH was evaluated. Data fitted best to a simplified model in which the slow exponential term was considered invariant with temperature and RH while the fast exponential term retained its temperature and RH dependence. This suggests that rapid rate processes such as water vapor sorption and initial deuterium labeling may be more dependent on temperature and RH than slower processes such as sequential exchange and transport in the solid matrix.
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Affiliation(s)
- Rishabh Tukra
- Department of Industrial and Physical Pharmacy, College of Pharmacy, Purdue University, West Lafayette, IN 47907, United States
| | - Sam Gardner
- Wildstat Consulting LLC, Lafayette, IN 47905, United States
| | - Elizabeth M Topp
- Department of Industrial and Physical Pharmacy, College of Pharmacy, Purdue University, West Lafayette, IN 47907, United States; National Institute for Bioprocessing Research and Training, Belfield, Blackrock, Co., Dublin A94 X099, Ireland.
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6
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Manibalan S, Thirukumaran K, Varshni M, Shobana A, Achary A. Report on biopharmaceutical profile of recent biotherapeutics and insilco docking studies on target bindings of known aptamer biotherapeutics. Biotechnol Genet Eng Rev 2021; 36:57-80. [PMID: 33393433 DOI: 10.1080/02648725.2020.1858395] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
Abstract
Accumulated Toxicity, disease recurrence and drug resistivity problems have been observed due to the synthetic and semisynthetic therapeutic practices, which alternatively led to focus on Bio-therapeutics production than xenobiotics. Quick plasma clearance and high potency are the reasons for trending research with huge pharma market of numerous Bio-therapeutics than ever before. Researchers proved that most of the nano and micro Bio-therapeutics have multiple beneficial therapeutic effects. We have analyzed the past, and present scenario of some notable clinically approved Bio-therapeutics to identify the future formulation needs with advanced techniques. Protein-related drugs are the foremost Bio-therapeutics such as antibodies, enzymes, and short, fragmented polypeptides show aggregation properties during storage, naked peptide moieties are resisted by the polar cell membrane, and also the antidrug antibodies were reported. Even though Nucleic acid nano-bodies are excellent target binders than proteins, they had only a few minutes of half-life. Maintaining homogeneousness upon storage of Bio-therapeutics is still a significant challenge in industrial-scale formulation. Notably, plant systems are identified as most useful cost-effective hosts to produce human enzymes than animal systems without any possible viral loads. Irrespective of numerous advancements in routes of administration and additives, subcutaneous is still a golden one to achieve better dynamics. Additionally, the interactions and effective bonds made by each class of well-known aptamer biotherapeutics which are considered as future drugs were studied.
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Affiliation(s)
- Subramaniyan Manibalan
- Center for Research, Department of Biotechnology, Kamaraj College of Engineering and Technology , Madurai, India
| | - Kandasamy Thirukumaran
- Center for Research, Department of Biotechnology, Kamaraj College of Engineering and Technology , Madurai, India
| | - Mathimaran Varshni
- Center for Research, Department of Biotechnology, Kamaraj College of Engineering and Technology , Madurai, India
| | - Ayyasamy Shobana
- Center for Research, Department of Biotechnology, Kamaraj College of Engineering and Technology , Madurai, India
| | - Anant Achary
- Center for Research, Department of Biotechnology, Kamaraj College of Engineering and Technology , Madurai, India
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7
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Nguyen KTT, Frijlink HW, Hinrichs WLJ. Inhomogeneous Distribution of Components in Solid Protein Pharmaceuticals: Origins, Consequences, Analysis, and Resolutions. J Pharm Sci 2019; 109:134-153. [PMID: 31606540 DOI: 10.1016/j.xphs.2019.10.010] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/17/2019] [Revised: 10/02/2019] [Accepted: 10/03/2019] [Indexed: 12/21/2022]
Abstract
Successful development of stable solid protein formulations usually requires the addition of one or several excipients to achieve optimal stability. In these products, there is a potential risk of an inhomogeneous distribution of the various ingredients, specifically the ratio of protein and stabilizer may vary. Such inhomogeneity can be detrimental for stability but is mostly neglected in literature. In the past, it was challenging to analyze inhomogeneous component distribution, but recent advances in analytical techniques have revealed new options to investigate this phenomenon. This paper aims to review fundamental aspects of the inhomogeneous distribution of components of freeze-dried and spray-dried protein formulations. Four key topics will be presented and discussed, including the sources of component inhomogeneity, its consequences on protein stability, the analytical methods to reveal component inhomogeneity, and possible solutions to prevent or mitigate inhomogeneity.
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Affiliation(s)
- Khanh T T Nguyen
- Department of Pharmaceutical Technology and Biopharmacy, University of Groningen, 9700 RB Groningen, the Netherlands
| | - Henderik W Frijlink
- Department of Pharmaceutical Technology and Biopharmacy, University of Groningen, 9700 RB Groningen, the Netherlands
| | - Wouter L J Hinrichs
- Department of Pharmaceutical Technology and Biopharmacy, University of Groningen, 9700 RB Groningen, the Netherlands.
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8
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Abstract
Dextranol, a reduced dextran, prevents damage to stored dry protein samples that unmodified dextran would otherwise cause. Desiccation protectants (xeroprotectants) like the polysaccharide dextran are critical for preserving dried protein samples by forming a rigid glass that protects entrapped protein molecules. Stably dried proteins are important for maintaining critical information in clinical samples like blood serum as well as maintaining activity of biologic drug compounds. However, we found that dextran reacts with both dried serum proteins and lyophilized purified proteins during storage, producing high-molecular weight Amadori-product conjugates. These conjugates appeared in a matter of days or weeks when stored at elevated temperatures (37° or 45°C), but also appeared on a timescale of months when stored at room temperature. We synthesized a less reactive dextranol by reducing dextran's anomeric carbon from an aldehyde to an alcohol. Serum samples dried in a dextranol-based matrix protected the serum proteins from forming high-molecular weight conjugates. The levels of four cancer-related serum biomarkers (prostate specific antigen, neuropilin-1, osteopontin, and matrix-metalloproteinase 7) decreased, as measured by immunoassay, when serum samples were stored for one to two weeks in dextran-based matrix. Switching to a dextranol-based xeroprotection matrix slightly reduced the damage to osteopontin and completely stopped any detectable damage during storage in the other three biomarkers when stored for a period of two weeks at 45°C. We also found that switching from dextran to dextranol in a lyophilization formulation eliminates this unwanted reaction, even at elevated temperatures. Dextranol offers a small and easy modification to dextran that significantly improves the molecule's function as a xeroprotectant by eliminating the potential for damaging protein-polysaccharide conjugation.
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9
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Economidou SN, Pere CPP, Reid A, Uddin MJ, Windmill JF, Lamprou DA, Douroumis D. 3D printed microneedle patches using stereolithography (SLA) for intradermal insulin delivery. MATERIALS SCIENCE & ENGINEERING. C, MATERIALS FOR BIOLOGICAL APPLICATIONS 2019; 102:743-755. [DOI: 10.1016/j.msec.2019.04.063] [Citation(s) in RCA: 90] [Impact Index Per Article: 18.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/08/2018] [Revised: 03/21/2019] [Accepted: 04/20/2019] [Indexed: 10/27/2022]
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10
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Ballesteros D, Hill LM, Lynch RT, Pritchard HW, Walters C. Longevity of Preserved Germplasm: The Temperature Dependency of Aging Reactions in Glassy Matrices of Dried Fern Spores. PLANT & CELL PHYSIOLOGY 2019; 60:376-392. [PMID: 30398653 DOI: 10.1093/pcp/pcy217] [Citation(s) in RCA: 17] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/20/2018] [Accepted: 11/01/2018] [Indexed: 05/15/2023]
Abstract
This study explores the temperature dependency of the aging rate in dry cells over a broad temperature range encompassing the fluid to solid transition (Tg) and well below. Spores from diverse species of eight families of ferns were stored at temperatures ranging from +45�C to approximately -176�C (vapor phase above liquid nitrogen), and viability was monitored periodically for up to 4,300 d (∼12 years). Accompanying measurements using differential scanning calorimetry (DSC) provide insights into structural changes that occur, such as Tg between +45 and -20�C (depending on moisture), and triacylglycerol (TAG) crystallization between -5 and -35�C (depending on species). We detected aging even at cryogenic temperatures, which we consider analogous to unscheduled degradation of pharmaceuticals stored well below Tg caused by a shift in the nature of molecular motions that dominate chemical reactivity. We occasionally observed faster aging of spores stored at -18�C (conventional freezer) compared with 5�C (refrigerator), and linked this with mobility and crystallization within TAGs, which probably influences molecular motion of dried cytoplasm in a narrow temperature range. Temperature dependency of longevity was remarkably similar among diverse fern spores, despite widely disparate aging rates; this provides a powerful tool to predict deterioration of germplasm preserved in the solid state. Future work will increase our understanding of molecular organization and composition contributing to differences in longevity.
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Affiliation(s)
- Daniel Ballesteros
- USDA-ARS National Laboratory for Genetic Resources Preservation, 1111 South Mason Street, Fort Collins, CO, USA
- Center for Conservation and Research of Endangered Wildlife (CREW), Cincinnati Zoo and Botanical Garden, 3400 Vine Street, Cincinnati, OH, USA
- Department of Comparative Plant and Fungal Biology, Royal Botanic Gardens, Kew, Wellcome Trust Millennium Building, Wakehurst Place, Ardingly, UK
| | - Lisa M Hill
- USDA-ARS National Laboratory for Genetic Resources Preservation, 1111 South Mason Street, Fort Collins, CO, USA
| | - Ryan T Lynch
- USDA-ARS National Laboratory for Genetic Resources Preservation, 1111 South Mason Street, Fort Collins, CO, USA
| | - Hugh W Pritchard
- Department of Comparative Plant and Fungal Biology, Royal Botanic Gardens, Kew, Wellcome Trust Millennium Building, Wakehurst Place, Ardingly, UK
| | - Christina Walters
- USDA-ARS National Laboratory for Genetic Resources Preservation, 1111 South Mason Street, Fort Collins, CO, USA
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11
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Mensink MA, Frijlink HW, van der Voort Maarschalk K, Hinrichs WL. How sugars protect proteins in the solid state and during drying (review): Mechanisms of stabilization in relation to stress conditions. Eur J Pharm Biopharm 2017; 114:288-295. [DOI: 10.1016/j.ejpb.2017.01.024] [Citation(s) in RCA: 213] [Impact Index Per Article: 30.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/17/2016] [Revised: 01/08/2017] [Accepted: 01/09/2017] [Indexed: 01/26/2023]
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12
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Chen L, Okuda T, Lu XY, Chan HK. Amorphous powders for inhalation drug delivery. Adv Drug Deliv Rev 2016; 100:102-15. [PMID: 26780404 DOI: 10.1016/j.addr.2016.01.002] [Citation(s) in RCA: 125] [Impact Index Per Article: 15.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/13/2015] [Revised: 12/23/2015] [Accepted: 01/02/2016] [Indexed: 11/25/2022]
Abstract
For inhalation drug delivery, amorphous powder formulations offer the benefits of increased bioavailability for poorly soluble drugs, improved biochemical stability for biologics, and expanded options of using various drugs and their combinations. However, amorphous formulations usually have poor physicochemical stability. This review focuses on inhalable amorphous powders, including the production methods, the active pharmaceutical ingredients and the excipients with a highlight on stabilization of the particles.
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13
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Stärtzel P, Gieseler H, Gieseler M, Abdul-Fattah AM, Adler M, Mahler HC, Goldbach P. Freeze-Drying of l -Arginine/Sucrose-Based Protein Formulations, Part 2: Optimization of Formulation Design and Freeze-Drying Process Conditions for an l -Arginine Chloride-Based Protein Formulation System. J Pharm Sci 2015; 104:4241-4256. [DOI: 10.1002/jps.24658] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/02/2015] [Revised: 08/19/2015] [Accepted: 09/02/2015] [Indexed: 01/17/2023]
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14
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Stabilization of proteins in solid form. Adv Drug Deliv Rev 2015; 93:14-24. [PMID: 25982818 DOI: 10.1016/j.addr.2015.05.006] [Citation(s) in RCA: 114] [Impact Index Per Article: 12.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/29/2014] [Revised: 05/07/2015] [Accepted: 05/09/2015] [Indexed: 12/15/2022]
Abstract
Immunogenicity of aggregated or otherwise degraded protein delivered from depots or other biopharmaceutical products is an increasing concern, and the ability to deliver stable, active protein is of central importance. We review characterization approaches for solid protein dosage forms with respect to metrics that are intended to be predictive of protein stability against aggregation and other degradation processes. Each of these approaches is ultimately motivated by hypothetical connections between protein stability and the material property being measured. We critically evaluate correlations between these properties and stability outcomes, and use these evaluations to revise the currently standing hypotheses. Based on this we provide simple physical principles that are necessary (and possibly sufficient) for generating solid delivery vehicles with stable protein loads. Essentially, proteins should be strongly coupled (typically through H-bonds) to the bulk regions of a phase-homogeneous matrix with suppressed β relaxation. We also provide a framework for reliable characterization of solid protein forms with respect to stability.
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15
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Weers JG, Miller DP. Formulation Design of Dry Powders for Inhalation. J Pharm Sci 2015; 104:3259-88. [DOI: 10.1002/jps.24574] [Citation(s) in RCA: 85] [Impact Index Per Article: 9.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/21/2015] [Revised: 06/11/2015] [Accepted: 06/12/2015] [Indexed: 11/09/2022]
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16
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Malferrari M, Francia F, Venturoli G. Retardation of Protein Dynamics by Trehalose in Dehydrated Systems of Photosynthetic Reaction Centers. Insights from Electron Transfer and Thermal Denaturation Kinetics. J Phys Chem B 2015; 119:13600-18. [DOI: 10.1021/acs.jpcb.5b02986] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Marco Malferrari
- Laboratorio di Biochimica e Biofisica Molecolare, Dipartimento di
Farmacia e Biotecnologie, FaBiT, Università di Bologna, 40126 Bologna, Italy
| | - Francesco Francia
- Laboratorio di Biochimica e Biofisica Molecolare, Dipartimento di
Farmacia e Biotecnologie, FaBiT, Università di Bologna, 40126 Bologna, Italy
| | - Giovanni Venturoli
- Laboratorio di Biochimica e Biofisica Molecolare, Dipartimento di
Farmacia e Biotecnologie, FaBiT, Università di Bologna, 40126 Bologna, Italy
- Consorzio Nazionale
Interuniversitario per le Scienze Fisiche della Materia (CNISM), c/o
Dipartimento di Fisica, Università di Bologna, 40127 Bologna, Italy
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17
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Li D, Liu L, Yu H, Zhai Z, Zhang Y, Guo B, Yang C, Liu B. A molecular simulation study of the protection of insulin bioactive structure by trehalose. J Mol Model 2014; 20:2496. [DOI: 10.1007/s00894-014-2496-x] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/16/2013] [Accepted: 10/09/2014] [Indexed: 10/24/2022]
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18
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Hoe S, Boraey MA, Ivey JW, Finlay WH, Vehring R. Manufacturing and device options for the delivery of biotherapeutics. J Aerosol Med Pulm Drug Deliv 2013; 27:315-28. [PMID: 24299502 DOI: 10.1089/jamp.2013.1090] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/13/2022] Open
Abstract
Biotherapeutic aerosol formulations are an intense area of interest for systemic and local drug delivery. This article provides a short overview of typical factors required specifically for biotherapeutic aerosol formulation design, the processing options open for consideration, and the issue of inhalation device selection. Focusing on spray drying, four case studies are used to highlight the relevant issues, describing investigations into: (1) the mechanical stresses occurring in bacteriophage formulations during spray-dryer atomization; (2) modeling of the spray-dryer process and droplet drying kinetics, to assist process design and predictions of formulation stability; (3) a predictive approach to the design and processing of a five-component dry powder aerosol formulation; and (4) the survival of bacteriophages after pressurized metered dose inhaler atomization.
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Affiliation(s)
- Susan Hoe
- Department of Mechanical Engineering, University of Alberta , Edmonton, AB, Canada
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19
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Iyer LK, Moorthy BS, Topp EM. Photolytic labeling to probe molecular interactions in lyophilized powders. Mol Pharm 2013; 10:4629-39. [PMID: 24125175 DOI: 10.1021/mp4004332] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Local side-chain interactions in lyophilized protein formulations were mapped using solid-state photolytic labeling-mass spectrometry (ssPL-MS). Photoactive amino acid analogues (PAAs) were used as probes and either added to the lyophilized matrix or incorporated within the amino acid sequence of a peptide. In the first approach, apomyoglobin was lyophilized with sucrose and varying concentrations of photoleucine (L-2-amino-4,4'-azipentanoic acid; pLeu). The lyophilized solid was irradiated at 365 nm to initiate photolabeling. The rate and extent of labeling were measured using electrospray ionization/high-performance liquid chromatography/mass spectrometry (ESI-HPLC-MS), with labeling reaching a plateau at ~30 min, forming up to six labeled populations. Bottom-up MS/MS analysis was able to provide peptide-level resolution of the location of pLeu. ssPL-MS was also able to detect differences in side-chain environment between sucrose and guanidine hydrochloride formulations. In the second approach, peptide GCG (1-8)* containing p-benzoyl-L-phenylalanine (pBpA) in the amino acid sequence was lyophilized with various excipients and irradiated. Peptide-peptide and peptide-excipient adducts were detected using MS. Top-down MS/MS on the peptide dimer provided amino acid-level resolution regarding interactions and the cross-linking partner for pBpA in the solid state. The results show that ssPL-MS can provide high-resolution information about protein interactions in the lyophilized environment.
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Affiliation(s)
- Lavanya K Iyer
- Department of Industrial and Physical Pharmacy, Purdue University , West Lafayette, Indiana 47901, United States
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Effect of pH and Excipients on Structure, Dynamics, and Long-Term Stability of a Model IgG1 Monoclonal Antibody upon Freeze-Drying. Pharm Res 2012. [DOI: 10.1007/s11095-012-0933-z] [Citation(s) in RCA: 40] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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21
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Effects of Excipients on the Chemical and Physical Stability of Glucagon during Freeze-Drying and Storage in Dried Formulations. Pharm Res 2012; 29:3278-91. [DOI: 10.1007/s11095-012-0820-7] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/15/2011] [Accepted: 06/22/2012] [Indexed: 01/31/2023]
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22
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Baird JA, Taylor LS. Evaluation of amorphous solid dispersion properties using thermal analysis techniques. Adv Drug Deliv Rev 2012; 64:396-421. [PMID: 21843564 DOI: 10.1016/j.addr.2011.07.009] [Citation(s) in RCA: 324] [Impact Index Per Article: 27.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/27/2010] [Revised: 07/25/2011] [Accepted: 07/28/2011] [Indexed: 11/28/2022]
Abstract
Amorphous solid dispersions are an increasingly important formulation approach to improve the dissolution rate and apparent solubility of poorly water soluble compounds. Due to their complex physicochemical properties, there is a need for multi-faceted analytical methods to enable comprehensive characterization, and thermal techniques are widely employed for this purpose. Key parameters of interest that can influence product performance include the glass transition temperature (T(g)), molecular mobility of the drug, miscibility between the drug and excipients, and the rate and extent of drug crystallization. It is important to evaluate the type of information pertaining to the aforementioned properties that can be extracted from thermal analytical measurements, in addition to considering any inherent assumptions or limitations of the various analytical approaches. Although differential scanning calorimetry (DSC) is the most widely used thermal analytical technique applied to the characterization of amorphous solid dispersions, there are many established and emerging techniques which have been shown to provide useful information. Comprehensive characterization of fundamental material descriptors will ultimately lead to the formulation of more robust solid dispersion products.
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Affiliation(s)
- Jared A Baird
- Department of Industrial and Physical Pharmacy, College of Pharmacy, Purdue University, West Lafayette, Indiana 47907, USA
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23
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Yoshioka S, Forney KM, Aso Y, Pikal MJ. Effect of sugars on the molecular motion of freeze-dried protein formulations reflected by NMR relaxation times. Pharm Res 2011; 28:3237-47. [PMID: 21706266 DOI: 10.1007/s11095-011-0512-8] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/23/2010] [Accepted: 06/10/2011] [Indexed: 11/30/2022]
Abstract
PURPOSE To relate NMR relaxation times to instability-related molecular motions of freeze-dried protein formulations and to examine the effect of sugars on these motions. METHODS Rotating-frame spin-lattice relaxation time (T(1ρ)) was determined for both protein and sugar carbons in freeze-dried lysozyme-sugar (trehalose, sucrose and isomaltose) formulations using solid-state (13)C NMR. RESULTS The temperature dependence of T(1ρ) for the lysozyme carbonyl carbons in lysozyme with and without sugars was describable with a model that includes two different types of molecular motion with different correlation times (τ(c)) for the carbon with each τ(c) showing Arrhenius temperature dependence. Both relaxation modes have much smaller relaxation time constant (τ(c)) and temperature coefficient (Ea) than structural relaxation and may be classified as β-relaxation and γ-relaxation. The τ(c) and Ea for γ-relaxation were not affected by sugars, but those for β-relaxation were increased by sucrose, changed little by trehalose, and decreased by isomaltose, suggesting that the β-mobility of the lysozyme carbonyl carbons is decreased by sucrose and increased by isomaltose. CONCLUSION T(1ρ) determined for the lysozyme carbonyl carbons can reflect the effect of sugars on molecular mobility in lysozyme. However, interpretation of relaxation time data is complex and may demand data over an extended temperature range.
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Affiliation(s)
- Sumie Yoshioka
- School of Pharmacy, University of Connecticut, Storrs, Connecticut 06269-3092, USA.
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24
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Perez-Moral N, Adnet C, Noel T, Parker R. The aggregative stability of β-lactoglobulin in glassy mixtures with sucrose, trehalose and dextran. Eur J Pharm Biopharm 2011; 78:264-70. [DOI: 10.1016/j.ejpb.2011.02.002] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/24/2010] [Revised: 02/01/2011] [Accepted: 02/04/2011] [Indexed: 11/26/2022]
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25
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Ohtake S, Wang YJ. Trehalose: Current Use and Future Applications. J Pharm Sci 2011; 100:2020-53. [DOI: 10.1002/jps.22458] [Citation(s) in RCA: 316] [Impact Index Per Article: 24.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/29/2010] [Revised: 12/05/2010] [Accepted: 12/06/2010] [Indexed: 12/30/2022]
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26
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Bhattacharya S, Suryanarayanan R. Molecular Motions in Sucrose-PVP and Sucrose-Sorbitol Dispersions: I. Implications of Global and Local Mobility on Stability. Pharm Res 2011; 28:2191-203. [DOI: 10.1007/s11095-011-0447-0] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/24/2010] [Accepted: 04/05/2011] [Indexed: 11/29/2022]
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27
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Sadrzadeh N, Miller DP, Lechuga-Ballesteros D, Harper NJ, Stevenson CL, Bennett DB. Solid-State Stability of Spray-Dried Insulin Powder for Inhalation: Chemical Kinetics and Structural Relaxation Modeling of Exubera Above and Below the Glass Transition Temperature. J Pharm Sci 2010; 99:3698-710. [DOI: 10.1002/jps.21936] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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28
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Bhattacharya S, Suryanarayanan R. Local Mobility in Amorphous Pharmaceuticals—Characterization and Implications on Stability. J Pharm Sci 2009; 98:2935-53. [DOI: 10.1002/jps.21728] [Citation(s) in RCA: 175] [Impact Index Per Article: 11.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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29
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Schantz S, Hoppu P, Juppo A. A Solid-State NMR Study of Phase Structure, Molecular Interactions, and Mobility in Blends of Citric Acid and Paracetamol. J Pharm Sci 2009; 98:1862-70. [DOI: 10.1002/jps.21559] [Citation(s) in RCA: 30] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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30
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Luthra SA, Pikal MJ, Utz M. Solid State 13C NMR Investigation of Impact of Annealing in Lyophilized Glasses. J Pharm Sci 2008; 97:4336-46. [DOI: 10.1002/jps.21316] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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31
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Chatterjee K, Shalaev EY, Suryanarayanan R, Govindarajan R. Correlation between chemical reactivity and the Hammett acidity function in amorphous solids using inversion of sucrose as a model reaction. J Pharm Sci 2008; 97:274-86. [PMID: 17828730 DOI: 10.1002/jps.21081] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
Abstract
The goal was to evaluate the effects of acidity, expressed as the Hammett acidity function, on chemical reactivity in freeze-dried materials (lyophiles). Dextran-sucrose-citrate and polyvinyl pyrrolidone (PVP)-sucrose-citrate aqueous solutions, adjusted to pH values of 2.6, 2.8, and 3.0 were freeze dried, and characterized by X-ray powder diffractometry, DSC, isothermal microcalorimetry, and Karl Fischer titrimetry. Lyophiles were also prepared from identical solutions but containing bromophenol blue (BB). Diffuse reflectance-visible spectroscopy was used to measure the extent of BB protonation from which the Hammett acidity functions were determined. The stability studies were performed at 60 degrees C. All the freeze-dried samples were observed to be X-ray amorphous with <0.15% w/w water content. The T(g) of dextran lyophiles were approximately 20 degrees C higher than that of PVP lyophiles whereas enthalpy relaxation rates at 60 degrees C were similar. The Hammett acidity functions were significantly lower (i.e., higher acidity) for dextran systems (<2.2-2.6) when compared with PVP systems (3.3-3.9). The rate of sucrose inversion was significantly (an order of magnitude) higher in dextran lyophiles. This study showed that in amorphous matrices with comparable water content and structural relaxation times, chemical reactivity could be significantly different depending on the matrix "acidity".
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Affiliation(s)
- Koustuv Chatterjee
- College of Pharmacy, 308, Harvard St. S.E., University of Minnesota, Minneapolis, MN 55455, USA
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32
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Maltesen MJ, van de Weert M. Drying methods for protein pharmaceuticals. DRUG DISCOVERY TODAY. TECHNOLOGIES 2008; 5:e81-e88. [PMID: 24981095 DOI: 10.1016/j.ddtec.2008.11.001] [Citation(s) in RCA: 66] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
Removal of water is a common method to prolong the storage stability of protein formulations. Traditionally, freeze-drying has been the method of choice, but spray drying and supercritical drying have gained increased interest in the past decade. The proper choice of drying technology has a significant impact on the final pharmaceutical product and on the overall economy of the process.:
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Affiliation(s)
- Morten Jonas Maltesen
- Department of Pharmaceutics and Analytical Chemistry, Faculty of Pharmaceutical Sciences, University of Copenhagen, Copenhagen, Denmark.
| | - Marco van de Weert
- Department of Pharmaceutics and Analytical Chemistry, Faculty of Pharmaceutical Sciences, University of Copenhagen, Copenhagen, Denmark
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33
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Abdul-Fattah AM, Kalonia DS, Pikal MJ. The challenge of drying method selection for protein pharmaceuticals: product quality implications. J Pharm Sci 2007; 96:1886-916. [PMID: 17252608 DOI: 10.1002/jps.20842] [Citation(s) in RCA: 101] [Impact Index Per Article: 5.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Abstract
Numerous drying methods are used to dry solutions of proteins in the laboratory and/or in pharmaceutical manufacturing. In this review article, we will discuss many of these drying methods. We will briefly introduce and compare the unit operations involved in the drying methods to give an insight on thermal history, and the different stresses that a drying method can present to an active ingredient, particularly for protein molecules. We will review and compare some important physico-chemical properties of the dried powder that result from using different drying methods such as specific surface area, molecular dynamics, secondary structure (for protein molecules), and composition heterogeneity. We will discuss some factors that might lead to differences in the physico-chemical properties of different powders of the same formulation prepared by different techniques. We will examine through a literature review how differences in some of these properties can affect storage stability. Also, we will review process modifications of the basic drying methods and how these modifications might impact physico-chemical properties, in-process stability and/or storage stability of the dried powders.
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Affiliation(s)
- Ahmad M Abdul-Fattah
- Department of Pharmaceutical Sciences, University of Connecticut, Storrs, Connecticut 06269, USA
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Abdul-Fattah AM, Truong-Le V, Yee L, Nguyen L, Kalonia DS, Cicerone MT, Pikal MJ. Drying-induced variations in physico-chemical properties of amorphous pharmaceuticals and their impact on stability (I): stability of a monoclonal antibody. J Pharm Sci 2007; 96:1983-2008. [PMID: 17286290 DOI: 10.1002/jps.20859] [Citation(s) in RCA: 56] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
Abstract
The present study was conducted to investigate the impact of drying method and formulation on the storage stability of IgG1. Formulations of IgG1 with varying levels of sucrose with and without surfactant were dried by different methods, namely freeze drying, spray drying, and foam drying. Dried powders were characterized by thermal analysis, scanning electron microscopy, specific surface area (SSA) analysis, electron spectroscopy for chemical analysis (ESCA), solid state FTIR, and molecular mobility measurements by both isothermal calorimetry and incoherent elastic neutron scattering. Dried formulations were subjected to storage stability studies at 40 degrees C and 50 degrees C (aggregate levels were measured by size exclusion chromatography initially and at different time points). Both drying method and formulation had a significant impact on the properties of IgG1 powders, including storage stability. Among the drying methods, SSA was highest and perturbations in secondary structure were lowest with the spray-dried preparations. Sucrose-rich foams had the lowest SSA and the lowest protein surface accumulation. Also, sucrose-rich foams had the lowest molecular mobility (both fast dynamics and global motions). Stability studies showed a log-linear dependence of physical stability on composition. Preparations manufactured by "Foam Drying" were the most stable, regardless of the stabilizer level. In protein-rich formulations, freeze-dried powders showed the poorest storage stability and the stability differences were correlated to differences in secondary structure. In stabilizer-rich formulations, stability differences were best correlated to differences in molecular mobility (fast dynamics) and total protein surface accumulation.
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Affiliation(s)
- Ahmad M Abdul-Fattah
- Department of Pharmaceutical Sciences, University of Connecticut, Storrs, Connecticut 06269, USA
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Yoshioka S, Aso Y. Correlations between molecular mobility and chemical stability during storage of amorphous pharmaceuticals. J Pharm Sci 2007; 96:960-81. [PMID: 17455355 DOI: 10.1002/jps.20926] [Citation(s) in RCA: 168] [Impact Index Per Article: 9.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Abstract
Recent studies have demonstrated that molecular mobility is an important factor affecting the chemical stability of amorphous pharmaceuticals, including small-molecular-weight drugs, peptides and proteins. However, quantitative correlations between molecular mobility and chemical stability have not yet been elucidated. The purpose of this article is to review literature describing the effect of molecular mobility on chemical stability during storage of amorphous pharmaceuticals, and to seek a better understanding of the relative significance of molecular mobility and other factors for chemical reactivity. We first consider the feature of chemical stability often observed for amorphous pharmaceuticals; changes in temperature dependence of chemical stability around matrix glass transition temperature (Tg), and greater stability associated with higher Tg. Secondly, we review papers which quantitatively studied the effects of the global mobility (often referred to as structural relaxation or -relaxation) of amorphous pharmaceuticals on chemical stability, and discuss correlations between chemical stability and global mobility using various equations that have thus far been proposed. Thirdly, the significance of local mobility of drug and excipient molecules in chemical reactivity is discussed in comparison with that of global mobility. Furthermore, we review literature reports which show no relationship between chemical stability and molecular mobility. The lack of apparent relationship is discussed in terms of the effects of the contribution of excipient molecules as reactants, the specific effects of water molecules, the heterogeneity of the matrix, and so on. The following summary has been obtained; the chemical stability of amorphous pharmaceuticals is affected by global mobility and/or local mobility, depending on the length scale of molecular mobility responsible for the chemical reactivity. In some cases, when activation energy for degradation processes is high and when other factors such as the specific effects of water and/or excipients contribute the degradation rate, stability seems to be largely independent of molecular mobility.
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Affiliation(s)
- Sumie Yoshioka
- National Institute of Health Sciences, 1-18-1 Kamiyoga, Setagaya-ku, Tokyo 158-8501, Japan.
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Affiliation(s)
- R K Gilpin
- Brehm Research Laboratory, University Park, Wright State University, Fairborn, Ohio 45324-2031, USA
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37
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Yoshioka S, Miyazaki T, Aso Y. Degradation Rate of Lyophilized Insulin, Exhibiting an Apparent Arrhenius Behavior around Glass Transition Temperature Regardless of Significant Contribution of Molecular Mobility. J Pharm Sci 2006; 95:2684-91. [PMID: 16892208 DOI: 10.1002/jps.20689] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Abstract
The relative influences of chemical activation energy and molecular mobility in determining chemical reactivity were evaluated for insulin lyophilized with alpha,beta-poly(N-hydroxyethyl)-L-aspartamide (PHEA), and compared with that for insulin lyophilized with trehalose, which had been found to have the ability to decrease the molecular mobility of insulin at low humidity. The ratio of the observed rate constant k(obs) to the chemical activation energy-controlled rate constant k(act) (k(obs)/k(act)) at glass transition temperature (T(g)) was estimated to be approximately 0.6 and 0.8 at 6% RH and 12% RH, respectively, indicating that the degradation rate is significantly affected by molecular mobility at lower humidity conditions. However, these k(obs)/k(act) values at T(g) were larger than those for the insulin-trehalose system, and changes in the temperature-dependent slope around T(g) were less obvious than those for the insulin-trehalose system. Thus, the contribution of molecular mobility to the degradation rate in the insulin-PHEA system appeared to be less intense than that in the insulin-trehalose system. The subtle change in the temperature-dependent slope around T(g) observed in the insulin-PHEA system brought about a significant bias in shelf-life estimation when the reaction rate was extrapolated from temperatures above T(g) according to the Arrhenius equation.
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Affiliation(s)
- Sumie Yoshioka
- National Institute of Health Sciences, 1-18-1 Kamiyoga, Setagaya-ku, Tokyo 158-8501, Japan.
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