Doctoral thesis (Dissertations and theses)
Mathematical modeling of bone regeneration during fracture healing and implant osseointegration
Geris, Liesbet
2007
 

Files


Full Text
thesis_Geris_L.pdf
Author postprint (12.14 MB)
Request a copy

All documents in ORBi are protected by a user license.

Send to



Details



Abstract :
[en] Despite the extensive body of literature on bone regeneration, many questions remain on e.g. the regulatory mechanisms and potential treatment strategies of pathological regeneration cases. The hypothesis underlying this work states that mathematical models of bone regeneration can make a substantial contribution to this domain by proposing pathological regeneration mechanisms and designing therapies, which can subsequently be tested experimentally. In the first part of this work, existing mechanoregulatory and bioregulatory models of bone regeneration are implemented and applied to both implant osseointegration and fracture healing set-ups. A quantitative comparison with experimental results is performed. Thorough sensitivity analyses are carried out to assess the influence of various modelling aspects on the simulation outcome. Shortcomings of these models are identified and suggestions for improvements are made. In the second part of this work, a novel bioregulatory model of bone regeneration is developed in which several of the previously defined shortcomings are addressed. This model includes key aspects of the regeneration process such as intramembranous and endochondral ossification, angiogenesis and directed cell motion. The results obtained with this novel model are corroborated both qualitatively and quantitatively by comparison with experimental data for normal fracture healing. Cases of pathological fracture healing are simulated and experimentally testable therapeutic strategies are implemented. The last part of this work describes the establishment of a mathematical framework, based on the previously developed bioregulatory model, in which the regulatory influence of both biological and mechanical factors is combined. This is the first model of bone regeneration in which the coupling between mechanical loading and angiogenesis is made in an explicit and mechanistic manner. Several examples are given to illustrate the added value of this approach in simulating normal and pathological bone regeneration. In summary, this work demonstrates the potential of mathematical models in advancing the knowledge on bone regeneration and designing treatment strategies for pathological healing cases.
Disciplines :
Mechanical engineering
Author, co-author :
Geris, Liesbet  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Génie biomécanique
Language :
English
Title :
Mathematical modeling of bone regeneration during fracture healing and implant osseointegration
Defense date :
May 2007
Number of pages :
261
Institution :
K.U.Leuven, Belgium
Promotor :
Vander Sloten, Jos
Van Oosterwyck, Hans
Available on ORBi :
since 26 August 2010

Statistics


Number of views
189 (23 by ULiège)
Number of downloads
19 (14 by ULiège)

Bibliography


Similar publications



Contact ORBi