Hyperelastic structures: A review on the mechanics and biomechanics

Khaniki, Hossein Bakhshi; Ghayesh, Mergen H.; Chin, Rey; Amabili, Marco

doi:10.1016/j.ijnonlinmec.2022.104275

Cited by 52 publications

(21 citation statements)

References 208 publications

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“…Frontiers in Cell and Developmental Biology frontiersin.org and heart valve replacements (Khaniki et al, 2023). The strong focus on biomedical engineering has led to the development of many sophisticated material models, for which the reader is referred to excellent reviews elsewhere (Holzapfel et al, 2019;Guo et al, 2022c).…”

Section: Tissue Integritymentioning

confidence: 99%

Modeling the extracellular matrix in cell migration and morphogenesis: a guide for the curious biologist

Crossley,

Johnson,

Tsingos

et al. 2024

Front. Cell Dev. Biol.

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The extracellular matrix (ECM) is a highly complex structure through which biochemical and mechanical signals are transmitted. In processes of cell migration, the ECM also acts as a scaffold, providing structural support to cells as well as points of potential attachment. Although the ECM is a well-studied structure, its role in many biological processes remains difficult to investigate comprehensively due to its complexity and structural variation within an organism. In tandem with experiments, mathematical models are helpful in refining and testing hypotheses, generating predictions, and exploring conditions outside the scope of experiments. Such models can be combined and calibrated with in vivo and in vitro data to identify critical cell-ECM interactions that drive developmental and homeostatic processes, or the progression of diseases. In this review, we focus on mathematical and computational models of the ECM in processes such as cell migration including cancer metastasis, and in tissue structure and morphogenesis. By highlighting the predictive power of these models, we aim to help bridge the gap between experimental and computational approaches to studying the ECM and to provide guidance on selecting an appropriate model framework to complement corresponding experimental studies.

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Section: Tissue Integritymentioning

confidence: 99%

Modeling the extracellular matrix in cell migration and morphogenesis: a guide for the curious biologist

Crossley,

Johnson,

Tsingos

et al. 2024

Front. Cell Dev. Biol.

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“…The hyperelastic models were proven to be suitable for capturing the mechanical behavior of biological tissues, leading to significant outcomes when combined with different continuum mechanics formulations. Consequently, they presented a comprehensive analysis of the mechanics of hyperelastic structures with focusing on the application of various strain energy function [28].…”

Section: Literature Reviewmentioning

confidence: 99%

Evaluation of Gelatin-PCL scaffold using polynomial model for skin tissue engineering

2024

IJATEE

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The mechanical behavior of the scaffold plays a crucial role in tissue engineering applications. This research aimed to fabricate a gelatin/polycaprolactone (PCL) scaffold for use in tissue engineering and evaluate the stress-strain relationship of the scaffold to analyze the shear modulus of the material. The scaffold was fabricated by blending gelatin with polycaprolactone and using the salt leaching technique to create a porous structure under various gelatin and PCL conditions. Uniaxial compression tests and uniaxial tension tests were conducted to determine the mechanical properties of the gelatin/PCL scaffolds. Data on applied pressure and displacement were used to establish the relationship between engineering stress and strain. The deformation characteristics of the scaffold include significant and non-linear behavior. The calculation of the shear modulus is based on a hyperelastic model that generates curves closely aligned with the engineering stress and strain curves. The polynomial model, a type of hyperelastic model, can predict the deformation behavior of materials under non-linear deformation. The constants of the polynomial model were analyzed to determine the shear modulus. The shear modulus of the gelatin/PCL scaffolds was found to range between 3.22 megapascals (MPa) and 60.00 MPa. The GP 82 scaffold exhibited the highest compression test value at 19.60 MPa, while the GP 91 scaffold showed the highest tension test value at 60.00 MPa. The GP 64 scaffold displayed the lowest value at 3.22 MPa. This polynomial model can predict the mechanical behavior of non-linearly deformed scaffolds, making it applicable for tissue engineering applications.

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“…Hyperelastic constitutive models, often referred to as strain energy density functions or material models, are fundamental tools in the field of biomechanics [59] and material science [60]. These models, rooted in the theory of elasticity, provide a systematic approach to characterize the behavior of materials, particularly those used in ankle-foot orthoses (AFO).…”

Section: Hyperelastic Constitutive Modelmentioning

confidence: 99%

An Overview of Mathematical Methods Applied in the Biomechanics of Foot and Ankle–Foot Orthosis Models

Nazha,

Szávai,

Juhre

2023

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Ankle–foot orthoses (AFOs) constitute medical instruments designed for patients exhibiting pathological gait patterns, notably stemming from conditions such as stroke, with the primary objective of providing support and facilitating rehabilitation. The present research endeavors to conduct a comprehensive review of extant scholarly literature focusing on mathematical techniques employed for the examination of AFO models. The overarching aim is to gain deeper insights into the biomechanical intricacies underlying these ankle–foot orthosis models from a mathematical perspective, while concurrently aiming to advance novel models within the domain. Utilizing a specified set of keywords and their configurations, a systematic search was conducted across notable academic databases, including ISI Web of Knowledge, Google Scholar, Scopus, and PubMed. Subsequently, a total of 23 articles were meticulously selected for in-depth review. These scholarly contributions collectively shed light on the utilization of nonlinear optimization techniques within the context of ankle–foot orthoses (AFOs), specifically within the framework of fully Cartesian coordinates, encompassing both kinematic and dynamic dimensions. Furthermore, an exploration of a two-degree-of-freedom AFO design tailored for robotic rehabilitation, which takes into account the interplay between foot and orthosis models, is delineated. Notably, the review article underscores the incorporation of shape memory alloy (SMA) elements in AFOs and overviews the constitutive elastic, viscoelastic, and hyperelastic models. This comprehensive synthesis of research findings stands to provide valuable insights for orthotists and engineers, enabling them to gain a mathematical understanding of the biomechanical principles underpinning AFO models and fostering the development of innovative AFO designs.

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Hyperelastic structures: A review on the mechanics and biomechanics

Cited by 52 publications

References 208 publications

Modeling the extracellular matrix in cell migration and morphogenesis: a guide for the curious biologist

Modeling the extracellular matrix in cell migration and morphogenesis: a guide for the curious biologist

Evaluation of Gelatin-PCL scaffold using polynomial model for skin tissue engineering

An Overview of Mathematical Methods Applied in the Biomechanics of Foot and Ankle–Foot Orthosis Models

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