A Mathematical Model of the Mouse Ventricular Myocyte Contraction

PLoS ONE

Volumn 8, Issue 5, 2013, Pages

  Mullins, Paula D ^a   Bondarenko, Vladimir E ^a  

^a GEORGIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CALCIUM ION; TROPOMYOSIN;

ACTION POTENTIAL; ARTICLE; CELL HETEROGENEITY; EXPERIMENTAL MODEL; HEART CONTRACTION; ION CURRENT; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; MOLECULAR DYNAMICS; MUSCLE CELL; NEUROMODULATION; PROTEIN BINDING; PROTEIN CONFORMATION; SARCOMERE;

ALGORITHMS; ANIMALS; CALCIUM; CALCIUM CHANNELS, L-TYPE; HEART VENTRICLES; MARKOV CHAINS; MEMBRANE POTENTIALS; MICE; MODELS, CARDIOVASCULAR; MYOCARDIAL CONTRACTION; MYOCYTES, CARDIAC; SARCOMERES; SODIUM CHANNELS; TROPOMYOSIN; TROPONIN;

EID: 84877325352     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0063141     Document Type: Article

References (45)

1. Splawski I, Timothy KW, Sharpe LM, Decher N, Kumar P, et al. (2004) Cav1.2 calcium channel dysfunction causes a multisystem disorder including arrhythmia and autism. Cell 119: 19-31, 2004.
2. Bader PL, Faizi M, Kim LH, Owen SF, Tadross MR, et al. (2011) Mouse model of Timothy syndrome recapitulates triad of autistic traits. Proc Natl Acad Sci USA 108: 15432-15437, 2011.
3. Orchard CH, McCall E, Kirby MS, Boyett MR, (1991) Mechanical alternans during acidosis in ferret heart muscle. Circ Res 68: 69-76.
4. London B, Baker LC, Petkova-Kirova P, Nerbonne JM, Choi BR, et al. (2007) Dispersion of repolarization and refractoriness are determinants of arrhythmia phenotype in transgenic mice with long QT. J Physiol 578: 115-129.
5. Fox JJ, McHarg JL, Gilmour RF Jr, (2002) Ionic mechanism of electrical alternans. Am J Physiol Heart Circ Physiol 282: H516-H530.
6. Valverde CA, Mundina-Weilenmann C, Reyes M, Kranias EG, Escobar AL, et al. (2006) Phospholamban phosphorylation sites enhance the recovery of intracellular Ca2+ after perfusion arrest in isolated, perfused mouse heart. Cardiovasc Res 70: 335-345.
7. Rice JJ, Jafri MS, Winslow RL, (2000) Modeling short-term interval-force relations in cardiac muscle. Am J Physiol Heart Circ Physiol 278: H913-H931.
8. Schneider NS, Shimayoshi T, Amano A, Matsuda T, (2006) Mechanism of the Frank-Starling law - A simulation study with a novel cardiac muscle contraction model that includes titin and troponin I. J Mol Cell Cardiol. 41: 522-536.
9. Rice JJ, Wang F, Bers DM, de Tombe PP, (2008) Approximate model of cooperative activation and crossbridge cycling in cardiac muscle using ordinary differential equations. Biophys J 95: 2368-2390.
10. Campbell SG, Flaim SN, Leem CH, McCulloch AD, (2008) Mechanisms of transmurally varying myocyte electromechanics in an integrated computational model. Phil Trans R Soc A 366: 3361-3380.
11. Land S, Niederer SA, Aronsen JM, Espe EKS, Zhang L, et al. (2012) An analysis of deformation-dependent electromechanical coupling in the mouse heart. J Physiol 590: 4553-4569.
12. Keener J, Sneyd J (2009) Mathematical Physiology. II. System Physiology. 2nd edition. New York: Springer Science+Business Media. Chapter 15.
13. Trayanova NA, Rice JJ, (2011) Cardiac electromechanical models: from cell to organ. Front Physiol 2: 43.
14. Huxley AF, (1957) Muscle structure and theories of contraction. Prog Biophys Biophys Chem 7: 255-318.
15. Rice JJ, Winslow RL, Hunter WC, (1999) Comparison of putative cooperative mechanisms in cardiac muscle: length dependence and dynamic responses. Am J Physiol Heart Circ Physiol 276: H1734-H1754.
16. Matsuoka S, Sarai N, Jo H, Noma A, (2004) Simulation of ATP metabolism in cardiac excitation-contraction coupling. Prog Biophys Mol Biol 85: 279-299.
17. Cortassa S, Aon MA, O'Rourke B, Jacques R, Tseng HJ, et al. (2006) A computational model integrating electrophysiology, contraction, and mitochondrial bioenergetics in the ventricular myocyte. Biophys J 91: 1564-1589.
18. Stuyvers BD, McCulloch AD, Guo J, Duff HJ, ter Keurs HEDJ, (2002) Effect of stimulation rate, sarcomere length and Ca2+ on force generation by mouse cardiac muscle. J Physiol 544: 817-830.
19. Bondarenko VE, Szigeti GP, Bett GCL, Kim SJ, Rasmusson RL, (2004) Computer model of action potential of mouse ventricular myocytes. Am J Physiol Heart Circ Physiol 287: H1378-H1403.
20. Petkova-Kirova PS, London B, Salama G, Rasmusson RL, Bondarenko VE, (2012) Mathematical modeling mechanisms of arrhythmias in transgenic mouse heart overexpressing TNF-α. Am J Physiol Heart Circ Physiol 302: H934-H952.
21. Bondarenko VE, Rasmusson RL, (2007) Simulations of propagated mouse ventricular action potentials: effects of molecular heterogeneity. Am J Physiol Heart Circ Physiol 293: H1816-H1832.
22. Bondarenko VE, Rasmusson RL, (2010) Transmural heterogeneity of repolarization and Ca2+ handling in a model of mouse ventricular tissue. Am J Physiol Heart Circ Physiol 299: H454-H469.
23. Prabhakar R, Boivin GP, Grupp IL, Hoit B, Arteaga G, et al. (2001) A familial hypertrophic cardiomyopathy α-tropomyosin mutation causes severe cardiac hypertropy and death in mice. J Mol Cell Cardiol 33: 1815-1828.
24. Bers DM (2001) Excitation-Contraction Coupling and Cardiac Contractile Force. 2nd edition. Dordrecht: Kluwer Academic Press. 427 p.
25. Konhilas JP, Irving TC, Wolska BM, Jweied EE, Martin AF, et al. (2003) Troponin I in the murine myocardium: influence on length-dependent activation and interfilament spacing. J Physiol 547: 951-961.
26. McCloskey DT, Turcato S, Wang GY, Turnbull L, Zhu BQ, et al. (2008) Expression of a Gi-coupled receptor in the heart causes impaired Ca2+ handling, myofilament injury, and dilated cardiomyopathy. Am J Physiol Heart Circ Physiol 294: H205-H212.
27. Gao WD, Perez NG, Seidman CE, Seidman GS, Marban E, (1999) Altere cardiac excitation-contraction coupling in mutant mice with familial hypertrophic cardiomyopathy. J Clin Invest 103: 661-666.
28. Kogler H, Soetgel DG, Murphy AM, Marban E, (2001) Maintained contractile reserve in a transgenic mouse model of myocardial stunning. Am J Physiol Heart Circul Physiol 280: H2623-H2630.
29. McCloskey DT, Turnbull L, Swigart P, O'Connell TD, Simpson PC, et al. (2003) Abnormal myocardial contraction in α1A- and α1B-adrenoceptor double-knockout mice. J Mol Cell Cardiol 35: 1207-1216.
30. Kirchhefer U, Neumann J, Bers DM, Buchwalow IB, Fabritz L, et al. (2003) Impaired relaxation in transgenic mice overexpressing junction. Cardiovasc Res 59: 369-379.
31. Fentzke RC, Buck SH, Patel JR, Lin H, Wolska BM, et al. (1999) Impaired cardiomyocyte relaxation and diastolic function in transgenic mice expressing slow skeletal tropinin I in the heart. J Physiol 517: 143-157.
32. Huang L, Wolska BM, Montgomery DE, Burkart EM, Buttrick PM, et al. (2001) Increased contractility and altered Ca2+ transients of mouse heart myocytes conditionally expressing PKCβ. Am J Physiol Cell Physiol 280: C1114-C1120.
33. Ito K, Yan X, Tajima M, Su Z, Barry WH, et al. (2000) Contractile reserve and intracellular calcium regulation in mouse myocytes from normal and hypertrophied failing hearts. Circ Res 87: 588-595.
34. Ito K, Yan X, Feng X, Manning WJ, Dillmann WH, et al. (2001) Transgenic expression of sarcoplasmic reticulum Ca2+ ATPase modifies the transition from hypertrophy to early heart failure. Circ Res 89: 422-429.
35. Dilly KW, Rossow CF, Votaw VS, Meabon JS, Cabarrus JL, et al. (2006) Mechanisms underlying variations in excitation-contraction coupling across the mouse left ventricular free wall. J Physiol 572: 227-241.
36. Kushnir A, Shan J, Betzenhauser MJ, Reiken S, Marks AR, (2010) Role of CaMKIIδ phosphorylation of the cardiac ryanodine receptor in the force frequency relationship and heart failure. Proc Natl Acad Sci USA 107: 10274-10279.
37. Chu G, Carr AN, Young KB, Lester JW, Yatani A, et al. (2002) Enhanced myocyte contractility and Ca2+ handling in a calcineurin transgenic model of heart failure. Cardiovasc Res 54: 105-116.
38. Flagg TP, Cazorla O, Remedi MS, Haim TE, Tones MA, et al. (2009) Ca2+-independent alterations in diastolic sarcomere length and relaxation kinectics in a mouse model of lipotoxic diabetic cardiomyopathy. Circ Res 104: 95-103.
39. Mohler PJ, Schott JJ, Gramolini AO, Dilly KW, Guatimosim S, et al. (2003) Ankyrin-B mutation causes type 4 long-QT cardiac arrhythmia and sudden cardiac death. Nature 421: 634-639.
40. Preckel B, Mullenheim J, Moloschavij A, Thamer V, Schlack W, (2000) Xenon administration during early reperfusion reduces infarct size after regional ischemia in the rabbit heart in vivo. Anesth Analg 91: 1327-1332.
41. Jouven X, Empana JP, Schwartz PJ, Desnos M, Courbon D, et al. (2005) Heart-rate profile during exercise as a predictor of sudden death. N Engl J Med 352: 1951-1958.
42. Glukhov AV, Fedorov VV, Lou Q, Ravikumar VK, Kalish PW, et al. (2010) Transmural dispersion of repolarization in failing and nonfailing human ventricle. Circ Res 106: 981-991.
43. Brunet S, Aimond F, Li H, Guo W, Eldstrom J, et al. (2004) Heterogeneous expression of repolarizing, voltage-gated K+ currents in adult mouse ventricles. J Physiol 559: 103-120.
44. Jones LR, Suzuki YJ, Wang W, Kobayashi YM, Ramesh V, et al. (1998) Regulation of Ca2+ signaling in transgenic mouse cardiac myocytes overexpressing calsequestrin. J Clin Invest 101: 1385-139.
45. Ramirez-Correa GA, Cortassa S, Stanley B, Gao WD, Murphy AM, (2010) Calcium sensitivity, force frequency relationship and cardiac troponin I: Critical role of PKA and PKC phosphorylation sites. J Mol Cell Cardiol 48: 943-953.