The aim of this book is to unite the seemingly disparate topics of Clifford algebras, analysis on manifolds and harmonic analysis. The authors show how algebra, geometry and differential equations all play a more fundamental role in Euclidean Fourier analysis than has been fully realized before. Their presentation of the Euclidean theory then links up naturally with the representation theory of semi-simple Lie groups. By keeping the treatment relatively simple, the book will be accessible to graduate students, yet the more advanced reader will also appreciate the wealth of results and insights made available here.
Chitosan is a biopolymer that exhibits osteoconductive, enhanced wound healing and antimicrobial properties which make it attractive for use as a bioactive coating to improve osseointegration of orthopaedic and craniofacial implant devices. Coatings made from 91.2% de-acetylated chitosan were chemically bonded to titanium coupons via silane-glutaraldehyde molecules. The bond strength of the coatings was evaluated in mechanical tensile tests, and their dissolution and cytocompatibility were evaluated in vitro using cell-culture medium and UMR 106 osteoblastic cells, respectively. The results showed that the chitosan coatings were chemically bonded to the titanium substrate and that the bond strengths (1.5-1.8 MPa) were not affected by gas sterilization. However, the chitosan bond strengths were less than those reported for calcium-phosphate coatings. The gas-sterilized coatings exhibited little dissolution over 8 weeks in cell-culture solution, and the attachment and growth of the UMR 106 osteoblast cells was greater on the chitosan-coated samples than on the uncoated titanium. These results indicated that chitosan has the potential to be used as a biocompatible, bioactive coating for orthopaedic and craniofacial implant devices.
One of the most important factors in any tissue-engineering application is the cell substrate. The purpose of this study was the initial evaluation of chitosan, a derivative of the abundant, naturally occurring biopolymer chitin, as a cell scaffold for cartilage tissue engineering. Chitosan scaffolds having an interconnecting porous structure were easily fabricated by simple freezing and lyophilization of a chitosan solution. After rehydration of scaffolds, porcine chondrocytes were seeded onto scaffolds and cultured for up to 28 days in a rotating-wall bioreactor. Chitosan scaffolds supported cell attachment and maintenance of a rounded cell morphology. After 18 days, cells within the scaffolds had synthesized extracellular matrix in which proteoglycan and type II collagen were detected by toluidine blue staining and immunohistochemistry, respectively. Abundant extracellular matrix was found almost exclusively in the periphery of the scaffolds, as scaffold microstructure prevented cells from penetrating to interior regions. Nonetheless, the results suggest that chitosan scaffolds may be a useful alternative to synthetic cell scaffolds for cartilage tissue engineering.
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