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骨重建的数学建模的最新进展综述。

A review of recent developments in mathematical modeling of bone remodeling.

机构信息

International Research Center for the Mathematics and Mechanics of Complex Systems, University of L'Aquila, L'Aquila, Italy.

Department of Structural and Geotechnical Engineering, SAPIENZA Università di Roma, Rome, Italy.

出版信息

Proc Inst Mech Eng H. 2020 Mar;234(3):273-281. doi: 10.1177/0954411919857599. Epub 2019 Jun 15.

Abstract

In this article, we summarize the developments in the mathematical modeling of the mechanics of bone and related biological phenomena. We will devote special attention to the results of the last 10-15 years, although we will cover some relevant classical work to better frame the more recent researches. We will propose a division of the literature based on the main aim of the model (mechanical/biomathematical) and the type of biological phenomena considered (stimulus, growth, cell population dynamics). Finally, we will suggest some possible directions for future investigations.

摘要

在本文中,我们总结了骨骼力学及其相关生物现象的数学建模方面的发展。我们将特别关注过去 10-15 年的研究成果,尽管我们也会涵盖一些相关的经典工作,以便更好地阐述最近的研究。我们将根据模型的主要目的(力学/生物数学)和所考虑的生物现象类型(刺激、生长、细胞群体动力学)对文献进行分类。最后,我们将提出一些未来研究的可能方向。

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