R. Balaban, The role of Ca 2+ signaling in the coordination of mitochondrial ATP production with cardiac work, Biochimica et Biophysica ActaBioenergetics, issue.11, pp.17871334-1341, 2009.

D. Balzani, P. Neff, J. Schröder, and G. Holzapfel, A polyconvex framework for soft biological tissues. Adjustment to experimental data, International Journal of Solids and Structures, vol.43, issue.20, pp.6052-6070, 2006.
DOI : 10.1016/j.ijsolstr.2005.07.048

J. Bestel, Modèle différentiel de la contraction musculaire contrôlée Application au système cardio-vasculaire, 2000.

J. Bestel, F. Clément, and M. Sorine, A Biomechanical Model of Muscle Contraction, In Lecture Notes in Computer Science, vol.2208, 2001.
DOI : 10.1007/3-540-45468-3_143

F. Brezzi and M. Fortin, Mixed and Hybrid Finite Element Methods, 1991.
DOI : 10.1007/978-1-4612-3172-1

R. Chabiniok, D. Chapelle, P. Lesault, A. Rahmouni, and J. Deux, Validation of a biomechanical heart model using animal data with acute myocardial infarction, CI2BM09 - MICCAI Workshop on Cardiovascular Interventional Imaging and Biophysical Modelling, 2009.
URL : https://hal.archives-ouvertes.fr/inria-00418373

D. Chapelle, F. Clément, F. Génot, P. L. Tallec, M. Sorine et al., A Physiologically-Based Model for the Active Cardiac Muscle Contraction, In Lectures Notes in Computer Science Eds T. Katila, I.E. Magnin, P. Clarysse, J. Montagnat, J. Nenonen, vol.2230, 2001.
DOI : 10.1007/3-540-45572-8_18

D. Chapelle, M. Fernàndez, J. Gerbeau, P. Moireau, J. Sainte-marie et al., Numerical Simulation of the Electromechanical Activity of the Heart, Proceedings of Functional Imaging and Modeling of the Heart, pp.239-248, 2009.
DOI : 10.1016/j.compstruc.2006.05.003

URL : https://hal.archives-ouvertes.fr/inria-00542779

P. Ciarlet and G. Geymonat, Sur les lois de comportement enélasticitéenélasticité non linéaire, pp.423-426, 1982.

K. Costa, J. Holmes, and A. Mcculloch, Modelling cardiac mechanical properties in three dimensions, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.359, issue.1783, pp.1233-1250, 2001.
DOI : 10.1098/rsta.2001.0828

Y. Fung, Biomechanics: Mechanical Properties of Living Tissues, 1993.

S. Göktepe, S. Acharya, J. Wong, and E. Kuhl, Computational modeling of passive myocardium, International Journal for Numerical Methods in Biomedical Engineering, vol.37, issue.1, pp.1-12, 2011.
DOI : 10.1002/cnm.1402

O. Gonzales, Exact energy and momentum conserving algorithms for general models in nonlinear elasticity, Computer Methods in Applied Mechanics and Engineering, vol.190, issue.13-14, pp.13-141763, 2000.
DOI : 10.1016/S0045-7825(00)00189-4

P. Hauret and P. L. Tallec, Energy-controlling time integration methods for nonlinear elastodynamics and low-velocity impact, Computer Methods in Applied Mechanics and Engineering, vol.195, issue.37-40, pp.4890-4916, 2006.
DOI : 10.1016/j.cma.2005.11.005

URL : https://hal.archives-ouvertes.fr/hal-00111458

V. Hill, The Heat of Shortening and the Dynamic Constants of Muscle, Proc. Roy. Soc. London, pp.126-136, 1938.
DOI : 10.1098/rspb.1938.0050

G. Holzapfel and R. Ogden, Constitutive modelling of passive myocardium: a structurally based framework for material characterization, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.192, issue.Pt 2, pp.3445-3475, 2009.
DOI : 10.1016/0021-9290(87)90279-X

J. Humphrey, Cardiovascular Solid Mechanics: Cells, Tissues, and Organs, Applied Mechanics Reviews, vol.55, issue.5, 2002.
DOI : 10.1115/1.1497492

J. Humphrey, Continuum biomechanics of soft tissues, Proc. R. Soc. Lond. A, pp.3-46, 2002.

P. Hunter, A. Mcculloch, and H. Ter-keurs, Modelling the mechanical properties of cardiac muscle, Progress in Biophysics and Molecular Biology, vol.69, issue.2-3, pp.289-331, 1998.
DOI : 10.1016/S0079-6107(98)00013-3

A. Huxley, Muscle structure and theories of contraction, Progress in biophysics and biological chemistry, pp.255-318, 1957.

P. Krejci, J. Sainte-marie, M. Sorine, and J. Urquiza, Solutions to muscle fiber equations and their long time behaviour, Nonlinear Analysis: Real World Applications, vol.7, issue.4, pp.535-558, 2006.
DOI : 10.1016/j.nonrwa.2005.03.021

P. and L. Tallec, Numerical Analysis of Viscoelastic Problems, of Recherches en Mathématiques Appliquées. Masson, 1990.

P. and L. Tallec, Numerical methods for nonlinear three-dimensional elasticity, Handbook of Numerical Analysis, 1994.
DOI : 10.1016/S1570-8659(05)80018-3

L. Tallec and P. Hauret, Energy conservation in fluid structure interactions, Numerical Methods for Scientific Computing -Variational Problems and Applications, 2003.

I. Mirsky and W. Parmley, Assessment of Passive Elastic Stiffness for Isolated Heart Muscle and the Intact Heart, Circulation Research, vol.33, issue.2, pp.233-243, 1973.
DOI : 10.1161/01.RES.33.2.233

P. Moireau, Filtering based data assimilation for second order hyperbolic PDEs. Applications in cardiac mechanics, 2008.
URL : https://hal.archives-ouvertes.fr/tel-00358582

M. Nash and P. Hunter, Computational mechanics of the heart ? from tissue structure to ventricular function, Journal of Elasticity, vol.61, issue.1/3, pp.113-141, 2000.
DOI : 10.1023/A:1011084330767

P. Nelson, Biological Physics: Energy, Information, Life. W.H. Freeman & Company, 2003.
DOI : 10.1119/1.1783904

A. Raoult, Symmetry groups in nonlinear elasticity: an exercise in vintage mathematics, Communications on Pure and Applied Analysis, vol.8, issue.1, pp.435-456, 2009.
DOI : 10.3934/cpaa.2009.8.435

URL : https://hal.archives-ouvertes.fr/hal-00275450

R. Rivlin and J. Ericksen, Stress-deformation relations for isotropic materials, J. Rational Mech. Anal, vol.4, pp.323-425, 1955.

J. Sainte-marie, D. Chapelle, R. Cimrman, and M. Sorine, Modeling and estimation of the cardiac electromechanical activity, Computers & Structures, vol.84, issue.28, pp.1743-1759, 2006.
DOI : 10.1016/j.compstruc.2006.05.003

URL : https://hal.archives-ouvertes.fr/hal-00839206

V. Saks, R. Favier, R. Guzun, U. Schlattner, and T. Wallimann, Molecular system bioenergetics: regulation of substrate supply in response to heart energy demands, The Journal of Physiology, vol.103, issue.3, pp.769-777, 2006.
DOI : 10.1113/jphysiol.2006.120584

URL : https://hal.archives-ouvertes.fr/inserm-00390890

D. Veronda and R. Westmann, Mechanical characterization of skin???Finite deformations, Journal of Biomechanics, vol.3, issue.1, pp.114-124, 1970.
DOI : 10.1016/0021-9290(70)90055-2