General analysis of mathematical models for bone remodeling

详细信息    查看全文

• 作者：Martin Zumsande^a ; ^{zumsande@mpipks-dresden.mpg.de} ; Dirk Stiefs^a ; Stefan Siegmund^b ; ^c ; Thilo Gross^a ; ^c
• 关键词：Modelling ; Bone remodeling ; Osteoclast ; Osteoblast
• 刊名：Bone
• 出版年：2011
• 出版时间：1 April 2011
• 年：2011
• 卷：48
• 期：4
• 页码：910-917
• 全文大小：651 K

文摘

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.