Andren A, Brown AR, Mason PJ, Graf J, Schumann U. (1994). Large-eddy simulation of a neutrally stratified boundary layer: a comparison of four computer codes Q J R Meteorol Soc. 120
Beard DA et al. (2009). CellML metadata standards, associated tools and repositories. Philosophical transactions. Series A, Mathematical, physical, and engineering sciences. 367 [PubMed]
Benson AP, Halley G, Li P, Tong WC, Holden AV. (2007). Virtual cell and tissue dynamics of ectopic activation of the ventricles. Chaos (Woodbury, N.Y.). 17 [PubMed]
Bordas R et al. (2009). Simulation of cardiac electrophysiology on next-generation high-performance computers. Philosophical transactions. Series A, Mathematical, physical, and engineering sciences. 367 [PubMed]
Bueno-Orovio A, Cherry EM, Fenton FH. (2008). Minimal model for human ventricular action potentials in tissue. Journal of theoretical biology. 253 [PubMed]
Burggraf OR. (1966). Analytical and numerical studies of the structure of steady separated flows J Fluid Mech. 24
Cherry EM, Evans SJ. (2008). Properties of two human atrial cell models in tissue: restitution, memory, propagation, and reentry. Journal of theoretical biology. 254 [PubMed]
Cherry EM, Fenton FH. (2007). A tale of two dogs: analyzing two models of canine ventricular electrophysiology. American journal of physiology. Heart and circulatory physiology. 292 [PubMed]
Christie GR, Nielsen PM, Blackett SA, Bradley CP, Hunter PJ. (2009). FieldML: concepts and implementation. Philosophical transactions. Series A, Mathematical, physical, and engineering sciences. 367 [PubMed]
Clayton RH. (2001). Computational models of normal and abnormal action potential propagation in cardiac tissue: linking experimental and clinical cardiology. Physiological measurement. 22 [PubMed]
Clayton RH et al. (2011). Models of cardiac tissue electrophysiology: progress, challenges and open questions. Progress in biophysics and molecular biology. 104 [PubMed]
Clayton RH, Holden AV. (2004). Propagation of normal beats and re-entry in a computational model of ventricular cardiac tissue with regional differences in action potential shape and duration. Progress in biophysics and molecular biology. 85 [PubMed]
Clayton RH, Panfilov AV. (2008). A guide to modelling cardiac electrical activity in anatomically detailed ventricles. Progress in biophysics and molecular biology. 96 [PubMed]
Clerc L. (1976). Directional differences of impulse spread in trabecular muscle from mammalian heart. The Journal of physiology. 255 [PubMed]
Cliffe KA et al. (1993). Is the steady viscous incompressible two-dimensional flow over a backward-facing step at Re =800 stable? Int J Numer Methods Fluids. 17
Colli Franzone P, Pavarino LF, Taccardi B. (2005). Simulating patterns of excitation, repolarization and action potential duration with cardiac Bidomain and Monodomain models. Mathematical biosciences. 197 [PubMed]
Courant R, Friedrichs K, Lewy H. (1928). Uber die partiellen differenzengleichungen der mathematischen Physik. Mathematische Annalen. 100(1)
Dos_santos RW et al. (2011). Accelerating cardiac excitation spread simulations using graphics processing units Concurr. Comput.: Pract Exp. 23
Et al , Blankenbach B. (1989). A benchmark comparison for mantle convection codes Geophys J Int. 98
Et al , Frenk CS. (1999). The Santa Barbara cluster comparison project: a comparison of cosmological hydrodynamics solutions Astrophys J. 525
Et al , Pitt-francis J. (2009). Chaste: a test-driven approach to software development for biological modelling Comput Phys Commun. 180
Fenton FH, Cherry EM, Hastings HM, Evans SJ. (2002). Multiple mechanisms of spiral wave breakup in a model of cardiac electrical activity. Chaos (Woodbury, N.Y.). 12 [PubMed]
Fink M et al. (2011). Cardiac cell modelling: observations from the heart of the cardiac physiome project. Progress in biophysics and molecular biology. 104 [PubMed]
Heidenreich EA, Ferrero JM, Doblaré M, Rodríguez JF. (2010). Adaptive macro finite elements for the numerical solution of monodomain equations in cardiac electrophysiology. Annals of biomedical engineering. 38 [PubMed]
Hooks DA et al. (2002). Cardiac microstructure: implications for electrical propagation and defibrillation in the heart. Circulation research. 91 [PubMed]
Hucka M et al. (2003). The systems biology markup language (SBML): a medium for representation and exchange of biochemical network models. Bioinformatics (Oxford, England). 19 [PubMed]
Hunter P et al. (2010). A vision and strategy for the virtual physiological human in 2010 and beyond. Philosophical transactions. Series A, Mathematical, physical, and engineering sciences. 368 [PubMed]
Hunter PJ, Borg TK. (2003). Integration from proteins to organs: the Physiome Project. Nature reviews. Molecular cell biology. 4 [PubMed]
Hunter PJ, Christie GR, Blackett SA, Bullivant DP. (2002). Modelling and visualising the heart Comput Visual Sci. 4
Johnson TA, Patel VC. (1999). Flow past a sphere up to a Reynolds number of 300 J Fluid Mech. 378
Kim J, Le H, Moin P. (1997). Direct numerical simulation of turbulent flow over a backwardfacing step J Fluid Mech. 330
LeGrice IJ et al. (1995). Laminar structure of the heart: ventricular myocyte arrangement and connective tissue architecture in the dog. The American journal of physiology. 269 [PubMed]
Lee J et al. (2009). Coupling contraction, excitation, ventricular and coronary blood flow across scale and physics in the heart. Philosophical transactions. Series A, Mathematical, physical, and engineering sciences. 367 [PubMed]
Maleckar MM et al. (2008). Polarity reversal lowers activation time during diastolic field stimulation of the rabbit ventricles: insights into mechanisms. American journal of physiology. Heart and circulatory physiology. 295 [PubMed]
Nash MP et al. (2006). Whole heart action potential duration restitution properties in cardiac patients: a combined clinical and modelling study. Experimental physiology. 91 [PubMed]
Niederer SA, Land S, Smith NP. (2011). Efficient computational methods for strongly coupled cardiac electromechanics. IEEE Trans. Biomed. Eng..
Niederer SA et al. (2011). Length-dependent tension in the failing heart and the efficacy of cardiac resynchronization therapy. Cardiovascular research. 89 [PubMed]
Noble D. (2008). Computational models of the heart and their use in assessing the actions of drugs. Journal of pharmacological sciences. 107 [PubMed]
Pathmanathan P et al. (2010). A numerical guide to the solution of the bi-domain equations of cardiac electrophysiology. Progress in biophysics and molecular biology. 102 [PubMed]
Pathmanathan P, Southern J, Mirams GR, Whitely JP. (2011). The significant effect of the choice of ionic current integration method in cardiac electro-physiological simulations Int. J. Numer. Methods Biomed. Eng..
Plank G et al. (2008). From mitochondrial ion channels to arrhythmias in the heart: computational techniques to bridge the spatio-temporal scales. Philosophical transactions. Series A, Mathematical, physical, and engineering sciences. 366 [PubMed]
Pullan AJ et al. (2003). Mathematical models and numerical methods for the forward problem in cardiac electrophysiology Comput Visual Sci. 5
Roberts A, Hatton L. (1994). How accurate is scientific software Ieee Trans Softw Eng. 20
Roberts DE, Hersh LT, Scher AM. (1979). Influence of cardiac fiber orientation on wavefront voltage, conduction velocity, and tissue resistivity in the dog. Circulation research. 44 [PubMed]
Sachse FB, Seemann G, Karl M, Weiss DL, Dössel_heuveline V. (2008). Framework for modular, flexible and efficient solving the cardiac bidomain equations using PETSc Progress In Industrial Mathematics At Ecmi. 15
Skavhaug O, Mardal KA, Lines GT, Ødegård_staff GA. (2007). Using Python to solve partial differential equations Comput Sci Eng. 9
Smith N, Gianni D, McKeever S. (2009). euHeartDB: a web-enabled database for geometrical models of the heart Proc. 5th Int. Conf., FIMH 2009, Nice, France, 3-5 June 2009. 5528
Sundnes J et al. (2006). On the computational complexity of the bidomain and the monodomain models of electrophysiology. Annals of biomedical engineering. 34 [PubMed]
Vigmond EJ, Aguel F, Trayanova NA. (2002). Computational techniques for solving the bidomain equations in three dimensions. IEEE transactions on bio-medical engineering. 49 [PubMed]
Vigmond EJ, Hughes M, Plank G, Leon LJ. (2003). Computational tools for modeling electrical activity in cardiac tissue. Journal of electrocardiology. 36 Suppl [PubMed]
Williamson CHK. (1996). Vortex dynamics in the cylinder wake Annu Rev Fluid Mech. 28
ten Tusscher KH, Panfilov AV. (2006). Alternans and spiral breakup in a human ventricular tissue model. American journal of physiology. Heart and circulatory physiology. 291 [PubMed]