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Rosiak N, Kilińska K, Skibiński R, Szymanowska D, Miklaszewski A, Lewandowska K, Bednarski W, Tykarska E, Zalewski P. Radiation sterilization as safe and effective way to obtain sterile biapenem. Radiat Phys Chem Oxf Engl 1993 2021. [DOI: 10.1016/j.radphyschem.2021.109363] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Roberto de Alvarenga Junior B, Lajarim Carneiro R. Chemometrics Approaches in Forced Degradation Studies of Pharmaceutical Drugs. Molecules 2019; 24:E3804. [PMID: 31652589 PMCID: PMC6833076 DOI: 10.3390/molecules24203804] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/11/2019] [Revised: 10/07/2019] [Accepted: 10/08/2019] [Indexed: 02/03/2023] Open
Abstract
Chemometrics is the chemistry field responsible for planning and extracting the maximum of information of experiments from chemical data using mathematical tools (linear algebra, statistics, and so on). Active pharmaceutical ingredients (APIs) can form impurities when exposed to excipients or environmental variables such as light, high temperatures, acidic or basic conditions, humidity, and oxidative environment. By considering that these impurities can affect the safety and efficacy of the drug product, it is necessary to know how these impurities are yielded and to establish the pathway of their formation. In this context, forced degradation studies of pharmaceutical drugs have been used for the characterization of physicochemical stability of APIs. These studies are also essential in the validation of analytical methodologies, in order to prove the selectivity of methods for the API and its impurities and to create strategies to avoid the formation of degradation products. This review aims to demonstrate how forced degradation studies have been actually performed and the applications of chemometric tools in related studies. Some papers are going to be discussed to exemplify the chemometric applications in forced degradation studies.
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Agudelo M, Rodriguez CA, Zuluaga AF, Vesga O. Nontherapeutic equivalence of a generic product of imipenem-cilastatin is caused more by chemical instability of the active pharmaceutical ingredient (imipenem) than by its substandard amount of cilastatin. PLoS One 2019; 14:e0211096. [PMID: 30726248 PMCID: PMC6364906 DOI: 10.1371/journal.pone.0211096] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/04/2017] [Accepted: 01/02/2019] [Indexed: 11/25/2022] Open
Abstract
Background We demonstrated therapeutic nonequivalence of “bioequivalent” generics for meropenem, but there is no data with generics of other carbapenems. Methods One generic product of imipenem-cilastatin was compared with the innovator in terms of in vitro susceptibility testing, pharmaceutical equivalence, pharmacokinetic (PK) and pharmacodynamic (PD) equivalence in the neutropenic mouse thigh, lung and brain infection models. Both pharmaceutical forms were then subjected to analytical chemistry assays (LC/MS). Results and conclusion The generic product had 30% lower concentration of cilastatin compared with the innovator of imipenem-cilastatin. Regarding the active pharmaceutical ingredient (imipenem), we found no differences in MIC, MBC, concentration or potency or AUC, confirming equivalence in terms of in vitro activity. However, the generic failed therapeutic equivalence in all three animal models. Its Emax against S. aureus in the thigh model was consistently lower, killing from 0.1 to 7.3 million less microorganisms per gram in 24 hours than the innovator (P = 0.003). Against K. pneumoniae in the lung model, the generic exhibited a conspicuous Eagle effect fitting a Gaussian equation instead of the expected sigmoid curve of the Hill model. In the brain infection model with P. aeruginosa, the generic failed when bacterial growth was >4 log10 CFU/g in 24 hours, but not if it was less than 2.5 log10 CFU/g. These large differences in the PD profile cannot be explained by the lower concentration of cilastatin, and rather suggested a failure attributable to the imipenem constituent of the generic product. Analytical chemistry assays confirmed that, besides having 30% less cilastatin, the generic imipenem was more acidic, less stable, and exhibited four different degradation masses that were absent in the innovator.
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Affiliation(s)
- Maria Agudelo
- GRIPE: Grupo Investigador de Problemas en Enfermedades Infecciosas, University of Antioquia (UdeA) Medical School, Medellín, Colombia
- Infectious Diseases Unit, Hospital Universitario San Vicente Fundación, Medellín, Colombia
| | - Carlos A. Rodriguez
- GRIPE: Grupo Investigador de Problemas en Enfermedades Infecciosas, University of Antioquia (UdeA) Medical School, Medellín, Colombia
- CIEMTO: Centro de Información de Medicamentos y Tóxicos, University of Antioquia (UdeA) Medical School, Medellín, Colombia
| | - Andres F. Zuluaga
- GRIPE: Grupo Investigador de Problemas en Enfermedades Infecciosas, University of Antioquia (UdeA) Medical School, Medellín, Colombia
- CIEMTO: Centro de Información de Medicamentos y Tóxicos, University of Antioquia (UdeA) Medical School, Medellín, Colombia
| | - Omar Vesga
- GRIPE: Grupo Investigador de Problemas en Enfermedades Infecciosas, University of Antioquia (UdeA) Medical School, Medellín, Colombia
- Infectious Diseases Unit, Hospital Universitario San Vicente Fundación, Medellín, Colombia
- * E-mail:
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Paczkowska M, Mizera M, Dzitko J, Lewandowska K, Zalewski P, Cielecka-Piontek J. Vibrational (FT-IR, Raman) and DFT analysis on the structure of labile drugs. The case of crystalline tebipenem and its ester. J Mol Struct 2017. [DOI: 10.1016/j.molstruc.2016.12.074] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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Dong J, Xiong W, Chen Y, Zhao Y, Lu Y, Zhao D, Li W, Liu Y, Chen X. Optimal dosing regimen of biapenem in Chinese patients with lower respiratory tract infections based on population pharmacokinetic/pharmacodynamic modelling and Monte Carlo simulation. Int J Antimicrob Agents 2016; 47:202-9. [PMID: 26895604 DOI: 10.1016/j.ijantimicag.2015.12.018] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/01/2015] [Revised: 11/27/2015] [Accepted: 12/29/2015] [Indexed: 01/23/2023]
Abstract
In this study, a population pharmacokinetic (PPK) model of biapenem in Chinese patients with lower respiratory tract infections (LRTIs) was developed and optimal dosage regimens based on Monte Carlo simulation were proposed. A total of 297 plasma samples from 124 Chinese patients were assayed chromatographically in a prospective, single-centre, open-label study, and pharmacokinetic parameters were analysed using NONMEN. Creatinine clearance (CLCr) was found to be the most significant covariate affecting drug clearance. The final PPK model was: CL (L/h)=9.89+(CLCr-66.56)×0.049; Vc (L)=13; Q (L/h)=8.74; and Vp (L)=4.09. Monte Carlo simulation indicated that for a target of ≥40% T>MIC (duration that the plasma level exceeds the causative pathogen's MIC), the biapenem pharmacokinetic/pharmacodynamic (PK/PD) breakpoint was 4μg/mL for doses of 0.3g every 6h (3-h infusion) and 1.2g (24-h continuous infusion). For a target of ≥80% T>MIC, the PK/PD breakpoint was 4μg/mL for a dose of 1.2g (24-h continuous infusion). The probability of target attainment (PTA) could not achieve ≥90% at the usual biapenem dosage regimen (0.3g every 12h, 0.5-h infusion) when the MIC of the pathogenic bacteria was 4μg/mL, which most likely resulted in unsatisfactory clinical outcomes in Chinese patients with LRTIs. Higher doses and longer infusion time would be appropriate for empirical therapy. When the patient's symptoms indicated a strong suspicion of Pseudomonas aeruginosa or Acinetobacter baumannii infection, it may be more appropriate for combination therapy with other antibacterial agents.
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Affiliation(s)
- Jing Dong
- Department of Pharmacy, Gongli Hospital of Pudong New Area in Shanghai, Shanghai, China; Center of Drug Metabolism and Pharmacokinetics, China Pharmaceutical University, Nanjing, China
| | | | - Yuancheng Chen
- Institute of Antibiotics, Huashan Hospital, Fudan University, Shanghai, China
| | - Yunfeng Zhao
- Department of Respiratory Medicine, Gongli Hospital of Pudong New Area in Shanghai, Shanghai, China
| | - Yang Lu
- Eshelman School of Pharmacy, University of North Carolina at Chapel Hill, Chapel Hill, NC, USA
| | - Di Zhao
- Center of Drug Metabolism and Pharmacokinetics, China Pharmaceutical University, Nanjing, China
| | - Wenyan Li
- Department of Pharmacy, Gongli Hospital of Pudong New Area in Shanghai, Shanghai, China
| | - Yanhui Liu
- Department of Pharmacy, Gongli Hospital of Pudong New Area in Shanghai, Shanghai, China
| | - Xijing Chen
- Center of Drug Metabolism and Pharmacokinetics, China Pharmaceutical University, Nanjing, China.
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Li R, Wang F, Chen L, Zhu S, Wu L, Jiang S, Xu Q, Zhu D. Stability of an anti-stroke peptide: Driving forces and kinetics in chemical degradation. Int J Pharm 2014; 472:148-55. [DOI: 10.1016/j.ijpharm.2014.06.021] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/14/2014] [Revised: 05/24/2014] [Accepted: 06/10/2014] [Indexed: 11/24/2022]
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Cielecka-Piontek J, Zalewski P, Paczkowska M. The Chromatographic Approach to Kinetic Studies of Tebipenem Pivoxil. J Chromatogr Sci 2014; 53:325-30. [DOI: 10.1093/chromsci/bmu063] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/26/2022]
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CIELECKA-PIONTEK JUDYTA, ZALEWSKI PRZEMYSŁAW, GARBACKI PIOTR, JURA EWELINA, TALACZYŃSKA ALICJA. Kinetics of Degradation of Biapenem. INT J CHEM KINET 2014. [DOI: 10.1002/kin.20860] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
Affiliation(s)
- JUDYTA CIELECKA-PIONTEK
- Department of Pharmaceutical Chemistry; Faculty of Pharmacy, Poznan University of Medical Sciences; Grunwaldzka 6 60-780 Poznań Poland
| | - PRZEMYSŁAW ZALEWSKI
- Department of Pharmaceutical Chemistry; Faculty of Pharmacy, Poznan University of Medical Sciences; Grunwaldzka 6 60-780 Poznań Poland
| | - PIOTR GARBACKI
- Department of Pharmaceutical Chemistry; Faculty of Pharmacy, Poznan University of Medical Sciences; Grunwaldzka 6 60-780 Poznań Poland
| | - EWELINA JURA
- Department of Pharmaceutical Chemistry; Faculty of Pharmacy, Poznan University of Medical Sciences; Grunwaldzka 6 60-780 Poznań Poland
| | - ALICJA TALACZYŃSKA
- Department of Pharmaceutical Chemistry; Faculty of Pharmacy, Poznan University of Medical Sciences; Grunwaldzka 6 60-780 Poznań Poland
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Maggio RM, Calvo NL, Vignaduzzo SE, Kaufman TS. Pharmaceutical impurities and degradation products: uses and applications of NMR techniques. J Pharm Biomed Anal 2014; 101:102-22. [PMID: 24853620 DOI: 10.1016/j.jpba.2014.04.016] [Citation(s) in RCA: 47] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/25/2014] [Revised: 04/11/2014] [Accepted: 04/12/2014] [Indexed: 11/29/2022]
Abstract
Current standards and regulations demand the pharmaceutical industry not only to produce highly pure drug substances, but to achieve a thorough understanding of the impurities accompanying their manufactured drug substances and products. These challenges have become important goals of process chemistry and have steadily stimulated the search of impurities after accelerated or forced degradation procedures. As a result, impurity profiling is one of the most attractive, active and relevant fields of modern pharmaceutical analysis. This activity includes the identification, structural elucidation and quantitative determination of impurities and degradation products in bulk drugs and their pharmaceutical formulations. Nuclear magnetic resonance (NMR) spectroscopy has evolved into an irreplaceable approach for pharmaceutical quality assessment, currently playing a critical role in unequivocal structure identification as well as structural confirmation (qualitative detection), enabling the understanding of the underlying mechanisms of the formation of process and/or degradation impurities. NMR is able to provide qualitative information without the need of standards of the unknown compounds and multiple components can be quantified in a complex sample without previous separation. When coupled to separative techniques, the resulting hyphenated methodologies enhance the analytical power of this spectroscopy to previously unknown levels. As a result, and by enabling the implementation of rational decisions regarding the identity and level of impurities, NMR contributes to the goal of making better and safer medicines. Herein are discussed the applications of NMR spectroscopy and its hyphenated derivate techniques to the study of a wide range pharmaceutical impurities. Details on the advantages and disadvantages of the methodology and well as specific challenges with regards to the different analytical problems are also presented.
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Affiliation(s)
- Rubén M Maggio
- Instituto de Química Rosario (IQUIR, CONICET-UNR) and Área Análisis de Medicamentos, Facultad de Ciencias Bioquímicas y Farmacéuticas, Universidad Nacional de Rosario, Suipacha 531, Rosario S2002LRK, Argentina
| | - Natalia L Calvo
- Instituto de Química Rosario (IQUIR, CONICET-UNR) and Área Análisis de Medicamentos, Facultad de Ciencias Bioquímicas y Farmacéuticas, Universidad Nacional de Rosario, Suipacha 531, Rosario S2002LRK, Argentina
| | - Silvana E Vignaduzzo
- Instituto de Química Rosario (IQUIR, CONICET-UNR) and Área Análisis de Medicamentos, Facultad de Ciencias Bioquímicas y Farmacéuticas, Universidad Nacional de Rosario, Suipacha 531, Rosario S2002LRK, Argentina
| | - Teodoro S Kaufman
- Instituto de Química Rosario (IQUIR, CONICET-UNR) and Área Análisis de Medicamentos, Facultad de Ciencias Bioquímicas y Farmacéuticas, Universidad Nacional de Rosario, Suipacha 531, Rosario S2002LRK, Argentina.
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Forced degradation and impurity profiling: Recent trends in analytical perspectives. J Pharm Biomed Anal 2013; 86:11-35. [DOI: 10.1016/j.jpba.2013.07.013] [Citation(s) in RCA: 100] [Impact Index Per Article: 9.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/09/2013] [Revised: 06/28/2013] [Accepted: 07/07/2013] [Indexed: 11/23/2022]
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Cielecka-Piontek J. Derivative spectrophotometry for the determination of faropenem in the presence of degradation products: an application for kinetic studies. APPLIED SPECTROSCOPY 2013; 67:703-708. [PMID: 23816120 DOI: 10.1366/12-06779] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/02/2023]
Abstract
A simple and selective derivative spectrophotometric method was developed for the quantitative determination of faropenem in pure form and in pharmaceutical dosage. The method is based on the zero-crossing effect of first-derivative spectrophotometry (λ = 324 nm), which eliminates the overlapping effect caused by the excipients present in the pharmaceutical preparation, as well as degradation products, formed during hydrolysis, oxidation, photolysis, and thermolysis. The method was linear in the concentration range 2.5-300 μg/mL (r = 0.9989) at λ = 341 nm; the limits of detection and quantitation were 0.16 and 0.46 μg/mL, respectively. The method had good precision (relative standard deviation from 0.68 to 2.13%). Recovery of faropenem ranged from 97.9 to 101.3%. The first-order rate constants of the degradation of faropenem in pure form and in pharmaceutical dosage were determined by using first-derivative spectrophotometry. A statistical comparison of the validation results and the observed rate constants for faropenem degradation with these obtained with the high-performance liquid chromatography method demonstrated that both were compatible.
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Affiliation(s)
- Judyta Cielecka-Piontek
- Department of Pharmaceutical Chemistry, Faculty of Pharmacy, Poznan University of Medical Sciences, Grunwaldzka 6, 60-780 Poznań, Poland.
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Michalska K, Cielecka-Piontek J, Pajchel G, Tyski S. Determination of biapenem in a medicinal product by micellar electrokinetic chromatography with sweeping in an enhanced electric field. J Chromatogr A 2013; 1282:153-60. [DOI: 10.1016/j.chroma.2013.01.042] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/22/2012] [Revised: 12/27/2012] [Accepted: 01/08/2013] [Indexed: 10/27/2022]
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Cielecka-Piontek J, Lewandowska K, Barszcz B, Paczkowska M. The use of UV, FT-IR and Raman spectra for the identification of the newest penem analogs: solutions based on mathematic procedure and the density functional theory. SPECTROCHIMICA ACTA. PART A, MOLECULAR AND BIOMOLECULAR SPECTROSCOPY 2013; 103:435-441. [PMID: 23218399 DOI: 10.1016/j.saa.2012.09.035] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/02/2012] [Accepted: 09/16/2012] [Indexed: 06/01/2023]
Abstract
The application of ultraviolet, FT-IR and Raman spectra was proposed for identification studies of the newest penem analogs (doripenem, biapenem and faropenem). An identification of the newest penem analogs based on their separation from related substances was achieved after the application of first derivative of direct spectra in ultraviolet which permitted elimination of overlapping effects. A combination of experimental and theoretical studies was performed for analyzing the structure and vibrational spectra (FT-IR and Raman spectra) of doripenem, biapenem and faropenem. The calculations were conducted using the density functional theory with the B3LYP hybrid functional and 6-31G(d,p) basis set. The confirmation of the applicability of the DFT methodology for interpretation of vibrational IR and Raman spectra of the newest penem analogs contributed to determination of changes of vibrations in the area of the most labile bonds. By employing the theoretical approach it was possible to eliminate necessity of using reference standards which - considering the instability of penem analogs - require that correction coefficients are factored in.
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Affiliation(s)
- J Cielecka-Piontek
- Department of Pharmaceutical Chemistry, Faculty of Pharmacy, Poznan University of Medical Sciences, Grunwaldzka 6, 60-780 Poznań, Poland.
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Cielecka-Piontek J, Lewandowska K, Barszcz B, Czartek A. Solid-state stability studies of faropenem based on chromatography, spectroscopy and theoretical analysis. Drug Dev Ind Pharm 2013; 40:136-43. [DOI: 10.3109/03639045.2012.752498] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/13/2022]
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Cielecka-Piontek J, Krause A, Zalewski P, Lunzer A, Jelińska A. Development and validation of a stability-indicating LC-UV method for the determination of doripenem and biapenem in pharmaceutical dosage forms. ACTA CHROMATOGR 2012. [DOI: 10.1556/achrom.24.2012.2.4] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Cielecka-Piontek J, JelińSka A, Dołhań A, Zalewski P. Kinetic and thermodynamic analysis of degradation of doripenem in the solid state. INT J CHEM KINET 2012. [DOI: 10.1002/kin.20722] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
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Affiliation(s)
- R. K. Gilpin
- Department of Chemistry, Wright State University, Dayton, Ohio 45435, United States
| | - C. S. Gilpin
- Select-O-Sep, LLC, 111 West Main Street, Freeport, Ohio 43973, United States
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Stability-indicating derivative spectrophotometry method for the determination of biapenem in the presence of its degradation products. OPEN CHEM 2011. [DOI: 10.2478/s11532-010-0125-9] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022] Open
Abstract
AbstractA first-derivative UV spectrophotometric method, with or without the subtraction technique, was developed for the determination of biapenem in pharmaceutical dosage form in the presence of its degradation products. The method was based on the measurement of first-derivative amplitudes at zero crossing point (λ = 312 nm) and the peak-to-zero technique and validated with regard to linearity, limits of detection and quantitation, selectivity and precision. The observed rate constants for the degradation of biapenem were comparable to those obtained in the stability-indicating HPLC method.
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Catalytic effect of buffers on the degradation of doripenem in aqueous solutions. REACTION KINETICS MECHANISMS AND CATALYSIS 2010. [DOI: 10.1007/s11144-010-0249-0] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Sun C, Wu J, Pan Y. Characterization of novel hydrolysis products of carbapenems by electrospray ionization mass spectrometry. RAPID COMMUNICATIONS IN MASS SPECTROMETRY : RCM 2009; 23:3205-3212. [PMID: 19718775 DOI: 10.1002/rcm.4240] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/28/2023]
Abstract
Carbapenems, including meropenem and imipenem, exhibit low stability against acid or base reagents. The fragmentation behavior of meropenem and its acid hydrolysis products was investigated by Fourier transform ion cyclotron resonance electrospray ionization tandem mass spectrometry and ion trap tandem multi-stage mass spectrometry in both positive and negative ion mode. Only one neutral loss of CO(2) was observed from the precursor ion to the MS(4) product ions for the acid hydrolysis product and this behavior did not correspond to that expected for the previously accepted 1-pyrroline or 2-pyrroline structure with two carbonyl acid units. The unknown product was then proposed to be 2-(4-(5-(dimethylcarbamoyl)pyrrolidin-3-ylthio)-5-imino-3-methyl-6-oxotetrahydro-2H-pyran-2-yl)-3-hydroxybutanoic acid on the basis of the multi-stage mass spectrometric and accurate mass data. A similar acid hydrolysis product of imipenem was also identified by mass spectrometry, confirming that these carbapenems had the same acid hydrolysis behavior. The proposed structures were further confirmed by NMR experiments.
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Affiliation(s)
- Cuirong Sun
- Department of Chemistry, Zhejiang University, Hangzhou 310027, China
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