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  General analysis of mathematical models for bone remodeling

Zumsande, M., Stiefs, D., Siegmund, S., & Gross, T. (2011). General analysis of mathematical models for bone remodeling. Bone, 48(4), 910-917.

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Zumsande, M.1, Author           
Stiefs, D.1, Author           
Siegmund, S., Author
Gross, T.1, Author           
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1Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288              

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 MPIPKS: YB 2012
 Abstract: Bone remodeling is regulated by pathways controlling the interplay of osteoblasts and osteoclasts. In this work, we apply the method of generalized modeling 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 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. (C) 2010 Elsevier Inc. All rights reserved.

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 Dates: 2011-04-01
 Publication Status: Issued
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 Identifiers: eDoc: 608298
ISI: 000288920900029
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Title: Bone
Source Genre: Journal
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Pages: - Volume / Issue: 48 (4) Sequence Number: - Start / End Page: 910 - 917 Identifier: ISSN: 8756-3282