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ENERGY-PRESERVING MUSCLE TISSUE MODEL: FORMULATION AND COMPATIBLE DISCRETIZATIONS

ENERGY-PRESERVING MUSCLE TISSUE MODEL: FORMULATION AND COMPATIBLE DISCRETIZATIONS

Authors :
Philippe Moireau
Michel Sorine
Patrick Le Tallec
Dominique Chapelle
Modeling, analysis and control in computational structural dynamics (MACS)
Inria Paris-Rocquencourt
Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)
Laboratoire de mécanique des solides (LMS)
École polytechnique (X)-Mines Paris - PSL (École nationale supérieure des mines de Paris)
Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)
SIgnals and SYstems in PHysiology & Engineering (SISYPHE)
École polytechnique (X)-MINES ParisTech - École nationale supérieure des mines de Paris
Source :
International Journal for Multiscale Computational Engineering, International Journal for Multiscale Computational Engineering, 2012, 10 (2), pp.189-211. ⟨10.1615/IntJMultCompEng.2011002360⟩, International Journal for Multiscale Computational Engineering, Begell House, 2012, 10 (2), pp.189-211. ⟨10.1615/IntJMultCompEng.2011002360⟩
Publication Year :
2012
Publisher :
Begell House, 2012.

Abstract

International audience; In this paper we propose a muscle tissue model -- valid for striated muscles in general, and for the myocardium in particular -- based on a multi-scale physiological description. This model extends and refines an earlier-proposed formulation by allowing to account for all major energy exchanges and balances, from the chemical activity coupled with oxygen supply to the production of actual mechanical work, namely, the biological function of the tissue. We thus perform a thorough analysis of the energy mechanisms prevailing at the various scales, and we proceed to propose a complete discretization strategy -- in time and space -- respecting the same balance laws. This will be crucial in future works to adequately model the many important physiological -- normal and pathological -- phenomena associated with these energy considerations.

Details

ISSN :
15431649
Volume :
10
Database :
OpenAIRE
Journal :
International Journal for Multiscale Computational Engineering
Accession number :
edsair.doi.dedup.....6b6e76861fa2dc8adc7a5e70dbfdedf6
Full Text :
https://doi.org/10.1615/intjmultcompeng.2011002360