General analysis of mathematical models for bone remodeling

M Zumsande, D Stiefs, S Siegmund, T Gross

Research output: Contribution to journalArticle (Academic Journal)peer-review

32 Citations (Scopus)


Bone remodeling is regulated by pathways controlling the interplay of osteoblasts and osteoclasts. In this work, we apply the method of generalized modelling to systematically analyse a large class of models of bone remodeling. Our analysis shows that osteoblast precursors can play an important role in the regulation of bone remodeling. Further, we find that the parameter regime most likely realized in nature lies very close to bifurcation lines, marking qualitative changes in the dynamics. Although proximity to a bifurcation facilitates adaptive responses to changing external conditions, it entails the danger of losing dynamical stability. Some evidence implicates such dynamical transitions as a potential mechanism leading to forms of Paget's disease.
Translated title of the contributionGeneral analysis of mathematical models for bone remodeling
Original languageEnglish
Pages (from-to)910 - 917
Publication statusPublished - 2011


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