Theory

Introduction to Cardiac Modeling

Lecture: Introduction to Cardiac Physiology and Modeling with Continuity 6.3

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Lecture: Modeling excitation, contraction and biochemical regulation

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Suggested Reading

• McCulloch AD (2005) Cardiac Biomechanics. Chapter 54 in: The Biomedical Engineering Handbook, 3rd Edition, Volume I, Bronzino JD, Editor-in-Chief, CRC Press, Boca Raton, FL: pages 54-1 to 54-27.

• Saucerman JJ, McCulloch AD (2004) Mechanistic systems models of cell signaling networks: a case study of myocyte adrenergic regulation. Progress in Biophysics and Molecular Biology 2004;85(2/3):261-278.

Meshes and Anatomic Fitting

Lecture: Finite element discretization and mesh fitting

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Suggested Reading

• Vetter FJ, McCulloch AD (1998). Three-dimensional analysis of regional cardiac anatomy. Progress in Biophysics and Molecular Biology 69:157-183.

• Mazhari R, Omens JH, Waldman LK, McCulloch AD (1998) Regional myocardial perfusion and mechanics: a model-based method of analysis. Annals of Biomedical Engineering 1998;26:743-755.

• Usyk TP, McCulloch AD (2003) Computational methods for soft tissue biomechanics. In Holzapfel GA, Ogden RW (Eds) Biomechanics of Soft Tissue in Cardiovascular Systems. Springer, Wien New York (CISM Courses and Lectures No. 441, International Center for Mechanical Sciences), pages 273-342.

Electrophysiology Models

Lecture: Monodomain modeling in cardiac electrophysiology

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Suggested Reading

• Rudy R, Silva JR (2006) Computational biology in the study of cardiac ion channels and cell electrophysiology. Quarterly Reviews of Biophysics, pages 1-60.

• Rogers JM, McCulloch AD (1994) A collocation-Galerkin finite element model of cardiac action potential propagation. IEEE Transactions on Biomedical Engineering 41:743-757.

• Belik ME, Usyk TP, McCulloch AD (2004) Computational methods for cardiac electrophysiology. In Ayache N, (Guest Ed) Computational Models for the Human Body, Special Volume of (Ciarlet PG, Ed) Handbook of Numerical Analysis, Volume XII. Elsevier B.V., pages 129-188.

Biomechanics and Electromechanics Models

Lecture: Biomechanics modeling

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Suggested Reading

• Costa KD, Hunter PJ, Rogers JM, Wayne JS, Guccione JM, Waldman LK, McCulloch AD (1996a,b) A three-dimensional finite element method for large elastic deformations of ventricular myocardium: Part I – Cylindrical and spherical polar coordinates and Part II – Prolate spheroidal coordinates. Journal of Biomechanical Engineering 118: 452-472.

• Vetter FJ, McCulloch AD (2000) Three-dimensional stress and strain in passive rabbit left ventricle: A model study. Annals of Biomedical Engineering 28:781-792.

• Kerckhoffs RCP, McCulloch AD (2006a) Cardiac Electromechanics, In: Chien et al (Eds) (in press)

• Kerckhoffs RCP, Healy SN, Usyk TP, McCulloch AD (2006b) Computational methods for cardiac electromechanics. Proceedings of the IEEE 94(4):769-783.