National Repository of Grey Literature 2 records found  Search took 0.00 seconds. 
Mathematical analysis of bone and vascular remodelling model
Matajová, Adéla ; Maršík, František (advisor) ; Souček, Ondřej (referee)
Bone is a tissue that is constantly being renewed during the whole life. This complex biological process, controling among others adaptation to environ- mental loads, is called bone remodelling. It is due to this complexity that the process hasn't been fully biomechanically described yet. However, sev- eral mathematical models of bone remodelling have been conjectured, one of which we will introduce and analyze in this thesis. The model describes bone metabolism by five chemical equations. Using the biothermodynamical laws we will derive from these equations a system of ordinary differential equations. Then we will effectuate a qualitative analysis, while focusing on existence, uniqueness and stability of a stationary solution. Finally the im- pact of the mechanical loading on bone remodelling will be outlined.We will also mention the relation with vascular remodelling. 1
Remodelace živé kosti – numerická simulace
Klika, V. ; Maršík, František ; Barsa, P.
The capacity of bone to adapt to functional mechanical requirements has been known for more than a century, and many theoretical and experimental models have been developed for bone remodelling. However, these models are still not able to sufficiently predict its behaviour. A thermodynamic model based on recent knowledge of biochemical control mechanisms is presented. Despite the complexity of the regulatory system of bone adaptation, the calculated results are in very good correlation with the experimental observations - the inner structure of bone can be elucidated, simulation of the influence of dynamic loading together with biochemical factors, e.g. the fundamental RAKL-RANK-OPG pathway.

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