Giving form to the function of the heart: Embedding cellular models in an anatomical framework

Japanese Journal of Physiology

Volumn 54, Issue 6, 2004, Pages 541-544

  Smith, Nicolas ^a   Hunter, Peter ^a  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

Cardiac function; Computer simulation; Mathematical modeling

Indexed keywords

COMPUTER SIMULATION; CORONARY ARTERY BLOOD FLOW; ELECTRIC CURRENT; EMBEDDING; HEART CONTRACTION; HEART ELECTROPHYSIOLOGY; HEART FUNCTION; HEART MUSCLE; HEART MUSCLE POTENTIAL; NONHUMAN; REVIEW; STRESS STRAIN RELATIONSHIP;

ANIMALS; COMPUTER SIMULATION; HEART; MODELS, ANATOMIC; MODELS, CARDIOVASCULAR; MYOCARDIUM;

EID: 15744377120     PISSN: 0021521X     EISSN: None     Source Type: Journal    
DOI: 10.2170/jjphysiol.54.541     Document Type: Review

References (20)

1. LeGrice IJ, Smaill BH, Chai LZ, Edgar SG, Gavin JB, and Hunter PJ: Laminar structure of the heart: ventricular myocyte arrangement and connective tissue architecture in the dog. Am J Physiol 269(2 Pt 2): H571-H582, 1995
2. Nielsen PM, Le Grice IJ, Smaill BH, and Hunter PJ: Mathematical model of geometry and fibrous structure of the heart. Am J Physiol 260: H1365-H1378, 1991
3. Bradley CP, Pullan AJ, and Hunter PJ: Geometric modeling of the human torso using cubic hermite elements. Ann Biomed Eng 25: 96-111, 1997
4. Bradley CP, Pullan AJ, and Hunter PJ: Effects of material properties and geometry on electrocardiographic forward simulations. Ann Biomed Eng 28: 721-741, 2000
5. Vetter FJ, and McCulloch AD: Three-dimensional analysis of regional cardiac function: a model of rabbit ventricular anatomy. Prog Biophys Mol Biol 69: 157-183, 1998
6. Stevens C, and Hunter PJ: Sarcomere length changes in a 3D mathematical model of the pig ventricles. Prog Biophys Mol Biol 82: 229-241, 2003
7. Hunter PJ, McCulloch AD, and ter Keurs HE: Modelling the mechanical properties of cardiac muscle. Prog Biophys Mol Biol 69: 289-331, 1998
8. Noble D, Varghese A, Kohl P, and Noble P: Improved guinea-pig ventricular cell model incorporating a diadic space, IKr and IKs, and length- and tension-dependent processes. Can J Cardiol 14: 123-134, 1998
9. Matsuoka S, Sarai N, Jo H, and Noma A: Simulation of ATP metabolism in cardiac excitation-contraction coupling. Prog Biophys Mol Biol 85: 279-299, 2004
10. Nickerson D, Smith NP, and Hunter PJ: A model of cardiac cellular electromechanics. Phil Trans R. Soc Lond A 359: 1159-1172, 2001
11. Kohl P, Day K, and Noble D: Cellular mechanisms of cardiac mechano-electric feedback in a mathematical model. Can J Cardiol 14: 111-119, 1998
12. Smith NP, Buist ML, and Pullan AJ: Altered T wave dynamics in a contracting cardiac model. J Cardiol Electrophys 14: 203-209, 2003
13. Smith NP: From Sarcomere to cell: an efficient algorithm for linking mathematical models of muscle contraction. Bull Math Biol 65: 1141-1162, 2003
14. Ch'en FF, Vaughan-Jones RD, Clarke K, and Noble D: Modelling myocardial ischaemia and reperfusion. Prog Biophys Mol Biol 69: 515-538, 1998
15. Smith NP, and Crampin EJ: Development of models of active ion transport for whole-cell modelling: cardiac sodium-potassium pump as a case study. Prog Biophys Mol Biol 85: 387-405, 2004
16. Shaw RM, and Rudy Y: Electrophysiologic effects of acute myocardial ischemia: a theoretical study of altered cell excitability and action potential duration. Cardiovasc Res 35: 256-272, 1997
17. Smith NP, Pullan AJ, and Hunter PJ: The generation of an anatomically accurate geometric coronary model. Ann Biomed Eng 28: 14-25, 2000
18. Smith NP, Pullan AJ, and Hunter PJ: An anatomically based model of transient coronary blood flow in the heart. SIAM J Appl Math 62: 990-1018, 2002
19. Smith NP, Stevens C, and Hunter PJ: Modelling computational ventricular energetics. Appl Mech Rev 2004 (in press)
20. Nash MP, and Hunter PJ: Computational mechanics of the heart. J Elasticity 61: 113-141, 2001