Using CellML in Computational Models of Multiscale Physiology

A computational modeling framework is presented which enables the integration of multiple physics and spatial scales in models of physiological systems. A novel aspect of the framework is the use of CellML to specify all model and simulation specific mathematical equations including cellular models and material constitutive relationships. Models of cardiac electromechanics at cellular, tissue, and organ spatial scales are used to illustrate the developed and implemented framework and other applications are discussed

[1]  A. McCulloch,et al.  Computational model of three-dimensional cardiac electromechanics , 2002 .

[2]  Carey Stevens An anatomically-based computational study of cardiac mechanics and myocardial infarction , 2002 .

[3]  G. Richard Christie,et al.  Modelling and visualising the heart , 2002 .

[4]  Martyn P. Nash,et al.  Mechanics and material properties of the heart using an anatomically accurate mathematical model. , 1998 .

[5]  P J Hunter,et al.  An anatomically based patient-specific finite element model of patella articulation: towards a diagnostic tool , 2005, Biomechanics and modeling in mechanobiology.

[6]  F. Fenton,et al.  Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: Filament instability and fibrillation. , 1998, Chaos.

[7]  Roy C. P. Kerckhoffs,et al.  Timing of Depolarization and Contraction in the Paced Canine Left Ventricle: , 2003, Journal of cardiovascular electrophysiology.

[8]  Roy C. P. Kerckhoffs,et al.  Homogeneity of Cardiac Contraction Despite Physiological Asynchrony of Depolarization: A Model Study , 2003, Annals of Biomedical Engineering.

[9]  P. Hunter,et al.  Mathematical model of geometry and fibrous structure of the heart. , 1991, The American journal of physiology.

[10]  A. Pullan,et al.  From cell to body surface: a fully coupled approach. , 2001, Journal of electrocardiology.

[11]  Andrew J. Pullan,et al.  A Finite Element Method for an Eikonal Equation Model of Myocardial Excitation Wavefront Propagation , 2002, SIAM J. Appl. Math..

[12]  P. Hunter,et al.  Computational Mechanics of the Heart , 2000 .

[13]  P. Hunter,et al.  Modelling the mechanical properties of cardiac muscle. , 1998, Progress in biophysics and molecular biology.

[14]  G. W. Beeler,et al.  Reconstruction of the action potential of ventricular myocardial fibres , 1977, The Journal of physiology.

[15]  P J Hunter,et al.  Modelling the passive and nerve activated response of the rectus femoris muscle to a flexion loading: a finite element framework. , 2005, Medical engineering & physics.

[16]  Y Rudy,et al.  Cellular consequences of HERG mutations in the long QT syndrome: precursors to sudden cardiac death. , 2001, Cardiovascular research.