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Bovendeerd, P. H. M., Arts, T., Huyghe, J. M., van Campen, D. H., and Reneman, R. S. (1992). Dependence of local left ventricular wall mechanics on myocardial fiber orientation: A model study. J. Biomech. 25:1129–1140.
Engelbrecht, J., Vendelin, M., and Maugin, G. A. (2000). Hierarchical internal variables reflecting microstructural properties: Application to cardiac muscle contraction. J. Non-Equilib. Thermodyn. 25:119–130.
Glass, L., Hunter, P., and McCulloch, A., eds. (1991). Theory of Heart. Biomechanics, Biophysics, and Nonlinear Dynamics of Cardiac Function. New York: Springer.
Hill, T. L. (1974). Theoretical formalism for the sliding filament model of contraction of striated muscle. part I. Prog. Biophys. Molec. Biol. 28:267–340.
Humphrey, J. D. (2003). Continuum biomechanics of soft biological tissues. Proc. R. Soc. Lond. A 459:3–46.
Hunter, P. J., Pullan, A. J., and Smaill, B. H. (2003). Modeling total heart function. Ann. Rev. Biomed. Eng. 5:147–177.
Huxley, A. F. (1957). Muscle structure and theories of contraction. Prog. Biophys. and Biophys. Chem. 7:257–318.
Kohl, P., Noble, D., Winslow, R. L., and Hunter, P. (2000). Computational modelling of biological systems: tools and visions. Philos. Trans. R. Soc. Lond. A 358:579–610.
Kolston, P. J. (2000). Finite-element modelling: a new toll for a biologist. Philos. Trans. R. Soc. Lond. A 358:611–631.
Maugin, G. A., and Engelbrecht, J. (1994). A thermodynamical viewpoint on nerve pulse dynamics. J. Non-Equilib. Thermodyn. 19:9–23.
Maugin, G. A., and Muschik, W. (1994). Thermodynamics with internal variables. J. Non-Equilib. Thermodyn. 19:217–249, 250–289. in two parts.
Maugin, G. A. (1990). Internal variables and dissipative structures. J. Non-Equilib. Thermodyn. 15:173–192.
van Campen, D. H., Huyghe, J. M., Boverndeerd, P. H. M., and Arts, T. (1994). Biomechanics of heart muscle. Eur. J. Mech. A/Solids 13(suppl):19–41.
van Leeuwen, J., and Aerts, P. (2003). Modelling in biomechanics. Philos. Trans. R. Soc. Lond. B 358:1425–1603.
Olsen, C. O., Rankin, J. S., Arentzen, C. E., Ring, W. S., McHale, P. A., and Anderson, R. W. (1981). The deformational characteristics of the left ventricle in the conscious dog. Circ. Res. 49:843–855.
Streeter, D. D., and Hanna, W. T. (1973). Engineering mechanics for successive states in canine left ventricular myocardium. I. cavity and wall geometry. Circ. Res. 33(6):639–655.
Vendelin, M., Bovendeerd, P. H. M., Arts, T., Engelbrecht, J., and van Campen, D. H. (2000). Cardiac mechanoenergetics replicated by cross-bridge model. Ann. Biomed. Eng. 28:629–640.
Vendelin, M., Bovendeerd, P. H. M., Engelbrecht, J., and Arts, T. (2002). Optimizing ventricular fibers: uniform strain or stress, but not ATP consumption, leads to high efficiency. Am. J. Physiol. Heart Circ. Physiol. 283:H1072–H1081.
Zipes, D. P., and Jalife, J., eds. (1995). Cardiac Electrophysiology: From Cell to Bedside. Philadelphia: Saunders.
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Engelbrecht, J., Vendelin, M. (2006). Mathematical Modelling of Cardiac Mechanoenergetics. In: Holzapfel, G.A., Ogden, R.W. (eds) Mechanics of Biological Tissue. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-31184-X_26
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DOI: https://doi.org/10.1007/3-540-31184-X_26
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