A review of recent developments in mathematical modeling of bone remodeling

Della Corte, Alessandro; Giorgio, Ivan; Scerrato, Daria

Affiliations

¹International Research Center for the Mathematics and Mechanics of Complex Systems, University of L’Aquila, L’Aquila, Italy

²Department of Structural and Geotechnical Engineering, SAPIENZA Università di Roma, Rome, Italy

Abstract and keywords

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.

Keywords: Bone remodeling; bone biomechanics; bone cells; mathematical modeling; bone resorption; bone regeneration

Links

DOI: 10.1177/0954411919857599

PubMed: 31203749

WoS: 000517839200005

History

Received: 2018-10-20

Accepted: 2019-05-23

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Cited By (2)

Year	Entry
2021	Tiwari AK, Goyal A, Prasad J. Modeling cortical bone adaptation using strain gradients. Proc Inst Mech Eng Part H-J Eng Med. June 2021;235(6):636-654.
2021	Kolesnikov G. Damage function of a quasi-brittle material, damage rate, acceleration and jerk during uniaxial compression: model and application to analysis of trabecular bone tissue destruction. Symmetry. October 2021;13(10):1759.