Direct and inverse identification of constitutive parameters from the structure of soft tissues. Part 1: micro- and nanostructure of collagen fibers

authored by: Michele Marino, Markus von Hoegen, Jörg Schröder, Peter Wriggers
Abstract: Soft tissues are characterized by a nonlinear mechanical response, highly affected by the multiscale structure of collagen fibers. The effectiveness and the calibration of constitutive models play a major role on the reliability and the applicability of computational models in biomechanics. This paper presents a procedure for the identification of the relationship between collagen-related structural features in soft tissues with model parameters of classical polynomial- and exponential-based constitutive models. Histological features at microscale, as well as biochemical and biophysical properties at nanoscale, are addressed by employing a multiscale structural description of soft tissue mechanics as benchmark data set. Both the direct (from structure to parameters) and the inverse (from parameters to structure) problem are addressed. Suitable optimization problems are introduced for accurate numerical and approximated analytical direct relationships. The inverse identification has been addressed by providing also a measure of the reliability of the computed estimates. Results show the effectiveness of the proposed strategies and allow to discuss the fitting capabilities of classical constitutive approaches in terms of parameters identification.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): University of Duisburg-Essen
Type: Article
Journal: Biomechanics and Modeling in Mechanobiology
Volume: 17
Pages: 1011-1036
No. of pages: 26
ISSN: 1617-7959
Publication date: 28.02.2018
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Biotechnology, Modelling and Simulation, Mechanical Engineering
Electronic version(s): https://doi.org/10.1007/s10237-018-1009-8 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{20a47f4763004d1e87f9edf3fe94a911,
title = "Direct and inverse identification of constitutive parameters from the structure of soft tissues. Part 1: micro- and nanostructure of collagen fibers",
abstract = "Soft tissues are characterized by a nonlinear mechanical response, highly affected by the multiscale structure of collagen fibers. The effectiveness and the calibration of constitutive models play a major role on the reliability and the applicability of computational models in biomechanics. This paper presents a procedure for the identification of the relationship between collagen-related structural features in soft tissues with model parameters of classical polynomial- and exponential-based constitutive models. Histological features at microscale, as well as biochemical and biophysical properties at nanoscale, are addressed by employing a multiscale structural description of soft tissue mechanics as benchmark data set. Both the direct (from structure to parameters) and the inverse (from parameters to structure) problem are addressed. Suitable optimization problems are introduced for accurate numerical and approximated analytical direct relationships. The inverse identification has been addressed by providing also a measure of the reliability of the computed estimates. Results show the effectiveness of the proposed strategies and allow to discuss the fitting capabilities of classical constitutive approaches in terms of parameters identification.",
keywords = "Constitutive models, Inverse analysis, Parameters identification, Soft tissue mechanics, Structure–mechanics relationship",
author = "Michele Marino and {von Hoegen}, Markus and J{\"o}rg Schr{\"o}der and Peter Wriggers",
note = "Funding Information: Acknowledgements M. Marino acknowledges that this work has been carried out within the framework of the SMART BIOTECS alliance between the Technical University of Braunschweig and the Leibniz University of Hannover. This initiative is financially supported by the Ministry of Economy and Culture (MWK) of Lower Saxony, Germany. Funding Information: M. Marino acknowledges that this work has been carried out within the framework of the SMART BIOTECS alliance between the Technical University of Braunschweig and the Leibniz University of Hannover. This initiative is financially supported by the Ministry of Economy and Culture (MWK) of Lower Saxony, Germany. Michele Marino and Markus von Hoegen have contributed equally to this work. The authors declare that they have no conflict of interest. Publisher Copyright: {\textcopyright} 2018, Springer-Verlag GmbH Germany, part of Springer Nature. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.",
year = "2018",
month = feb,
day = "28",
doi = "10.1007/s10237-018-1009-8",
language = "English",
volume = "17",
pages = "1011--1036",
journal = "Biomechanics and Modeling in Mechanobiology",
issn = "1617-7959",
publisher = "Springer Verlag",
number = "4",
}