A Three-Component Model for Magnetization Transfer. Solution by Projection-Operator Technique,and Application to Cartilage |
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| Institution: | 1. Neuroscience Research Group, Medical Research Institute, Faculty of Medicine, University of Antioquia (UdeA), Calle 70 No. 52-21, and Calle 62 # 52-59, Building 1, Room 412, SIU Medellin, Colombia;2. Neuroscience Research Institute, Department of Molecular Cellular Developmental Biology, University of California, Santa Barbara, CA, 93106, USA;1. Department of Bio-Medical Sciences, Human Anatomy and Histology Section, School of Medicine, University of Catania, Catania, Italy;2. Department of Veterinary Preclinical Sciences, School of Veterinary Medicine, Faculty of Health and Medical Sciences, University of Surrey, Guildford, United Kingdom;3. Arthritis Research UK Centre for Sport, Exercise and Osteoarthritis, Arthritis Research UK Pain Centre, Medical Research Council and Arthritis Research UK Centre for Musculoskeletal Ageing Research, University of Nottingham, Queen''s Medical Centre, Nottingham, United Kingdom;4. Center of Excellence in Genomic Medicine Research (CEGMR), King Fahd Medical Research Center (KFMRC), King AbdulAziz University, Jeddah, Kingdom of Saudi Arabia;5. Department of Medical and Pediatric Sciences, Internal Medicine Division, University of Catania, Catania, Italy;6. Department of Bio-Medical Sciences, Section of Physiology, University of Catania, Catania, Italy;7. Department of Surgery, Orthopaedics and Traumatology Division, University of Catania, Catania, Italy;1. Integrative Pathobiology Graduate Group, University of California, Davis, Davis, CA;2. Henry Samueli School of Engineering, Department of Biomedical Engineering, University of California, Irvine, Irvine, CA;1. Genomics Research Center, Academia Sinica, Taipei, Taiwan;2. Department of Medical Research, Taichung Veterans General Hospital, Taichung, Taiwan;3. Division of Endocrinology and Metabolism, Department of Internal Medicine, Taichung Veterans General Hospital, Taichung, Taiwan;4. Department of Biotechnology and Laboratory Science in Medicine, National Yang-Ming University, Taipei, Taiwan;1. PhyMedExp, University of Montpellier, INSERM, CNRS, Montpellier, France;2. Pediatric and Congenital Cardiology Department, M3C Regional Reference CHD Centre, Clinical Investigation Centre, Montpellier University Hospital, Montpellier, France;3. Pediatric Neurology Department, Reference Center for Neuromuscular Diseases AOC, Clinical Investigation Centre, Montpellier University Hospital, Montpellier, France;4. IRMB, Univ Montpellier, INSERM, CHU Montpellier, Montpellier France;5. SAFE-iPSC Facility INGESTEM, CHU de Montpellier, Montpellier, France;6. Laboratory of Genome and Stem Cell Plasticity in Development and Aging, INSERM, Montpellier, France |
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| Abstract: | A projection-operator technique is applied to a general three-component model for magnetization transfer, extending our previous two-component model R. S. Adler and H. N. Yeung,J. Magn. Reson. A104,321 (1993), and H. N. Yeung, R. S. Adler, and S. D. Swanson,J. Magn. Reson. A106,37 (1994)]. The PO technique provides an elegant means of deriving a simple, effective rate equation in which there is natural separation of relaxation and source terms and allows incorporation of Redfield–Provotorov theory without any additional assumptions or restrictive conditions. The PO technique is extended to incorporate more general, multicomponent models. The three-component model is used to fit experimental data from samples of human hyaline cartilage and fibrocartilage. The fits of the three-component model are compared to the fits of the two-component model. |
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