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General Commentary ARTICLE

Front. Bioeng. Biotechnol., 14 October 2015 | https://doi.org/10.3389/fbioe.2015.00163

Corrigendum: Musculoskeletal modeling of the lumbar spine to explore functional interactions between back muscle loads and intervertebral disk multiphysics

  • 1Institute for Bioengineering of Catalonia, Barcelona, Spain
  • 2Department of Information and Communication Technologies, Universitat Pompeu Fabra, Barcelona, Spain

A corrigendum on

Musculoskeletal modeling of the lumbar spine to explore functional interactions between back muscle loads and intervertebral disk multiphysics
by Toumanidou, T. and Noailly, J. (2015). Front. Bioeng. Biotechnol. 3:111. doi: 10.3389/fbioe.2015.00111

In Toumanidou and Noailly (2015), the general forms of the second Piola-Kirchhoff and Cauchy stress tensors on Eqs (12) and (16) in Materials and Methods were not reported correctly. This should read as follows:

S=2UC=G22J23I23I¯1CC1+KlnJC1+UFJ23λ¯f1NN13λ¯fC1

The Cauchy stress was related to the second Piola-Kirchhoff stress by:

σ=1JFSFT=G2J2B¯23I¯1CI+KlnJJI+1JUFλ¯fnn13λ¯fI

where n is the direction of the muscle fibers in the deformed fascicle, B¯ the deviatoric part of the left Cauchy-Green tensor B, and I the second-order unit tensor.

Conflict of Interest Statement

The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.

Keywords: constitutive muscle model, lumbar spine finite element model, intervertebral disk swelling, intervertebral disk-muscle interaction, standing, night rest

Citation: Toumanidou T and Noailly J (2015) Corrigendum: Musculoskeletal modeling of the lumbar spine to explore functional interactions between back muscle loads and intervertebral disk multiphysics. Front. Bioeng. Biotechnol. 3:163. doi: 10.3389/fbioe.2015.00163

Received: 18 September 2015; Accepted: 02 October 2015;
Published: 14 October 2015

Edited by:

Matthew B. Panzer, University of Virginia, USA

Reviewed by:

Jeffrey T. Somers, Wyle Science, Technology, and Engineering Group, USA

Copyright: © 2015 Toumanidou and Noailly. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

*Correspondence: Jérôme Noailly, jerome.noailly@upf.edu