Constitutive modeling of menisci tissue: a critical review of analytical and numerical approaches
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REVIEW PAPER
Constitutive modeling of menisci tissue: a critical review of analytical and numerical approaches Milad Imeni1 · Behzad Seyfi1 · Nasser Fatouraee1 · Abbas Samani2,3,4 Received: 16 January 2020 / Accepted: 28 May 2020 © Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract Menisci are fibrocartilaginous disks consisting of soft tissue with a complex biomechanical structure. They are critical determinants of the kinematics as well as the stability of the knee joint. Several studies have been carried out to formulate tissue mechanical behavior, leading to the development of a wide spectrum of constitutive laws. In addition to developing analytical tools, extensive numerical studies have been conducted on menisci modeling. This study reviews the developments of the most widely used continuum models of the meniscus mechanical properties in conjunction with emerging analytical and numerical models used to study the meniscus. The review presents relevant approaches and assumptions used to develop the models and includes discussions regarding strengths, weaknesses, and discrepancies involved in the presented models. The study presents a comprehensive coverage of relevant publications included in Compendex, EMBASE, MEDLINE, PubMed, ScienceDirect, Springer, and Scopus databases. This review aims at opening novel avenues for improving menisci modeling within the framework of constitutive modeling through highlighting the needs for further research directed toward determining key factors in gaining insight into the biomechanics of menisci which is crucial for the elaborate design of meniscal replacements. Keywords Menisci · Mechanical properties · Constitutive modeling · Analytical and numerical models · Whole knee models · Literature review
1 Introduction The stability of the knee joint, as the main weight bearing joint in the human body, stems from its complex structure consisting of different parts such as bones, ligaments, articular cartilages, menisci, and muscle forces to appropriately respond to diverse types of mechanobiological loads (Pena et al. 2006). In both sexes, the threshold of physical activity associated with good physical health is more than 8000 steps/day in which the knee joint experiences loads * Behzad Seyfi [email protected] 1
Biomedical Engineering Department, Amirkabir University of Technology, Tehran, Iran
2
Department of Electrical and Computer Engineering, University of Western Ontario, London, Canada
3
Department of Medical Biophysics, University of Western Ontario, London, Canada
4
Graduate Program in Biomedical Engineering, University of Western Ontario, London, Canada
amounting to several-folds the bodyweight (Paul 1976; Aoyagi and Shephard 2009). Particularly, due to shape-induced relative incongruence of the articular surfaces, the meniscus plays a vital role in increasing the conformity between femoral and tibial surfaces and subsequently in bearing and transferring load and stress distribution within the joint throughout its whole range of mot
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