<> "The repository administrator has not yet configured an RDF license."^^ . <> . . "Analysis of Bone Remodeling\r\nAn Application for Tooth Movement"^^ . "Abstract\r\nThis thesis investigates a mathematical model that tries to consider most processes\r\ninvolved in bone formation and bone resorption. It takes the solid bone matrix\r\nand the fluid phase as bone marrow into account as well as the influences of bone\r\ncell populations on the bone remodeling cycle. The role of parathyroid hormone\r\nand calcium homeostasis and the signaling pathways between bone cells are also\r\nstudied.\r\nA complex mathematical model is derived which results in a free boundary problem\r\nas bone is constantly changing its shape and architecture. We find in the model on\r\nthe macroscopic level equations for linear elasticity and Navier-Stokes equation.\r\nOn the basic unit level we study equations for diffusion and transport, chemotaxis\r\nand partial differential equations for bone cell populations.\r\nThe general complex model for bone remodeling is then simplified and applied to\r\na chosen problem in orthodontics, the movement of a tooth through bone. Tooth\r\nmovement caused by braces is a possible application of our general model. Here\r\nthe equations of Biot for a porous medium, the periodontal ligament, are used and\r\ncombined with a free boundary. We use the homogenized system and are able to\r\nderive effective equations for the displacement and pressure.\r\nWe suggest for the analysis the Rothe method and prove in this thesis the existence\r\nof solutions for the Rothe iteration step. The full convergence proof for the free\r\nboundary problem is a problem for itself."^^ . "2013" . . . . . . . "Martina Christine"^^ . "Kihn"^^ . "Martina Christine Kihn"^^ . . . . . . "Analysis of Bone Remodeling\r\nAn Application for Tooth Movement (PDF)"^^ . . . "Disskihnfinal2.pdf"^^ . . . "Analysis of Bone Remodeling\r\nAn Application for Tooth Movement (Other)"^^ . . . . . . "indexcodes.txt"^^ . . . "Analysis of Bone Remodeling\r\nAn Application for Tooth Movement (Other)"^^ . . . . . . "lightbox.jpg"^^ . . . "Analysis of Bone Remodeling\r\nAn Application for Tooth Movement (Other)"^^ . . . . . . "preview.jpg"^^ . . . "Analysis of Bone Remodeling\r\nAn Application for Tooth Movement (Other)"^^ . . . . . . "medium.jpg"^^ . . . "Analysis of Bone Remodeling\r\nAn Application for Tooth Movement (Other)"^^ . . . . . . "small.jpg"^^ . . "HTML Summary of #14602 \n\nAnalysis of Bone Remodeling \nAn Application for Tooth Movement\n\n" . "text/html" . . . "510 Mathematik"@de . "510 Mathematics"@en . .