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ENERGY-PRESERVING MUSCLE TISSUE MODEL: FORMULATION AND COMPATIBLE DISCRETIZATIONS
ENERGY-PRESERVING MUSCLE TISSUE MODEL: FORMULATION AND COMPATIBLE DISCRETIZATIONS
- 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.
- Subjects :
- Muscle tissue
Engineering
Mathematical optimization
Discretization
Computer Networks and Communications
0206 medical engineering
Computational Mechanics
Energy balance
02 engineering and technology
muscle tissue modeling
Striated Muscles
01 natural sciences
myocardium
medicine
time and space discretizations
0101 mathematics
multi scale
Chemical activity
Oxygen supply
Spacetime
business.industry
energy balance
020601 biomedical engineering
010101 applied mathematics
medicine.anatomical_structure
Control and Systems Engineering
business
[MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Energy (signal processing)
Subjects
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