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Error structure for the HPLC analysis for atenolol,metoprolol and propranolol: a useful weighting method in parameter estimation
Institution:1. Department of Neurobiology and Biophysics, Vilnius University, Sauletekio ave. 7, LT-10222 Vilnius, Lithuania;2. Department of Neuroscience and Pharmacology, University of Copenhagen, Blegdamsvej 3B, DK-2200 Copenhagen, Denmark;1. Faculty of Engineering, Uşak University, Uşak, Turkey;2. Health CareEducation, Researchand Application Center, Uşak University, Uşak, Turkey;3. Department of Chemistry, Faculty of Science and Arts, Uşak University, Uşak, Turkey;4. Department of Analytical Chemistry,Faculty of Pharmacy, Ankara University, Ankara, Turkey;1. State Key Laboratory of Pollution Control and Resource Reuse, School of the Environment, Nanjing University, Nanjing 210023, People''s Republic of China;2. School of Environment, Henan Normal University, Key Laboratory for Yellow River and Huai River Water Environmental and Pollution Control, Ministry of Education, Henan Key Laboratory for Environmental Pollution Control, Xinxiang, Henan 453007, PR China;1. Norfeldt Consulting, Sofielundsvägen 23A, Malmö, Sweden;2. Department of Pharmacy, Faculty of Health and Medical Sciences, University of Copenhagen, Denmark;1. Department of Chemistry, SRM Institute of Science and Technology, Kattankulathur 603 203, India;2. Encube Ethicals Pvt. Ltd., Mumbai 400004, India
Abstract:Three reversed-phase high performance liquid chromatography (HPLC) methods with UV detection were developed and fully validated for the quantification of three β-blockers: atenolol, metoprolol and propranolol. After validation, error structures for the HPLC analysis were established using a convenient and practical procedure. The mean percentage of relative standard deviation (RSD) of the experimental concentrations (C), were less than 4.29% for proportionality and less than 3.68% for precision for any of the drugs, which allowed the quantitation of β-blockers assayed at concentrations in the range 25–0.78 μg·ml−1. The error structures for the HPLC analysis were: SD (μg·ml−1)=5.02×10−2+0.65×10−2 C for atenolol, SD (μg·ml−1)=4.55×10−2+0.63×10−2 C−7.58×10−6 C3 for metoprolol and SD (μg·ml−1)=2.73×10−2+1.46×10−2 C−3.49×10−4 C2 for propranolol. The reciprocal of the square of the SD of the drug concentrations measured within the calibration curve could be used as weighting methods in parameter estimation by non-linear regression.
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