Reference : A hybrid bioregulatory model of angiogenesis during bone fracture healing
Scientific journals : Article
Engineering, computing & technology : Computer science
Life sciences : Microbiology
http://hdl.handle.net/2268/70894
A hybrid bioregulatory model of angiogenesis during bone fracture healing
English
Peiffer, Veronique [> >]
Gerisch, Alf [Institut fur Mathematik, Martin-Luther-Universitat Halle-Wittenberg, 06099 Halle (Saale), Germany > > > >]
Vandepitte, Dirk mailto [> >]
VanOosterwyck, Hans mailto [K.U. Leuven, Faculty of Engineering, Division of Biomechanics and Engineering Design, Celestijnenlaan 200A, B-3000 Leuven, Belgium > > > >]
Geris, Liesbet mailto [Université de Liège - ULg > Département d'aérospatiale et mécanique > Génie biomécanique >]
2011
Biomechanics & Modeling in Mechanobiology
Springer Science & Business Media B.V.
10
3
383-395
Yes (verified by ORBi)
International
1617-7959
1617-7940
[en] Bone regeneration ; Endothelial cell ; VEGF ; partial differential equation ; treatment strategy
[en] Bone fracture healing is a complex process in which angiogenesis or the development of a blood vessel net work plays a crucial role. In this paper, a mathematicalmodel is presented that simulates the biological aspects of fracture healing including the formation of individual blood vessels. The model consists of partial differential equations, several of which describe the evolution in density of the most important cell types, growth factors, tissues and nutrients. The other equations determine the growth of blood vessels as a result of themovement of leading endothelial (tip) cells. Branching
and anastomoses are accounted for in the model. The model is applied to a normal fracture healing case and subjected to a sensitivity analysis. The spatiotemporal evolution of soft tissues and bone, as well as the development of a blood vessel network are corroborated by comparison with experimental data. Moreover, this study shows that the proposed mathematical framework can be a useful tool in the research of impaired healing and the design of treatment strategies.
Researchers ; Professionals ; Students
http://hdl.handle.net/2268/70894
10.1007/s10237-010-0241-7

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