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Mathematical Modeling and Analysis of Force Induced Bone Growth

Authors: Solvey Maldonado; Steffen Borchers; Rolf Findeisen; Frank Allgöwer;

Mathematical Modeling and Analysis of Force Induced Bone Growth

Abstract

Bone is a dynamic living tissue that undergoes continuous adaptation of its mass and structure in response to mechanical and biological environment demands. Studies of bone adaptation have focused on metabolic or mechanical stimulus, but mathematical models of bone adaptation considering both, are not available by now. In this paper, we propose a mathematical model of bone adaptation during a remodeling cycle due to mechanical stimulus with the introduction of osteocytes as mechanotransducers. The model captures qualitatively very well the bone adaptation and cell interactions during the bone remodeling.

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Keywords

Receptor Activator of Nuclear Factor-kappa B, Biomedical Engineering, Osteoprotegerin, Adaptation, Physiological, Mechanotransduction, Cellular, Models, Biological, Osteocytes, Dinoprostone, Biomechanical Phenomena, Feedback, Animals, Humans, Bone Remodeling, Stress, Mechanical, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
17
Average
Average
Average
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