文章基本信息

标题：Variable Order Differential Models of Bone Remodelling
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作者：Joana Pinheiro Neto ; Rui Moura Coelho ; Duarte Valério 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2017
卷号：50
期号：1
页码：8066-8071
DOI：10.1016/j.ifacol.2017.08.1233
语种：English
出版社：Elsevier
摘要：AbstractBone is a living tissue undergoing a constant remodeling process that involves different cell types, in particular osteoclasts and osteoblasts. This process can be modeled using differential equations, accounting for the biochemical coupling between the referred bone cells. These models have also been extended to include the effects of bone diseases in its dynamics, such as tumor metastizations.Due to the high number of parameters involved in the existing physiological models for bone remodeling, a new approach to this system is here presented. Variable order derivatives are introduced as a method to simplify its structure, providing more compact models that lead to similar results to those of the original formulations. These new models also allow for anomalous diffusion to be accounted for.These models are expected to serve in clinical decision systems such as personalized therapy schemes.
关键词：KeywordsBone remodelingBone metastasisFractional derivativesVariable order derivatives