Analysing cardiac excitation-contraction coupling with mathematical models of local control

Progress in Biophysics and Molecular Biology

Volumn 85, Issue 2-3, 2004, Pages 141-162

  Soeller, Christian ^a   Cannell, Mark B ^a  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

Author keywords

Biophysics; Calcium; Calcium induced calcium release; Calcium sparks; Heart; Mathematical modeling; Ryanodine receptor

Indexed keywords

CALCIUM CHANNEL L TYPE; RYANODINE RECEPTOR;

ADAPTATION; ANIMAL; BIOLOGICAL MODEL; CALCIUM SIGNALING; CELL MEMBRANE POTENTIAL; CHANNEL GATING; COMPUTER SIMULATION; CONFERENCE PAPER; FEEDBACK SYSTEM; HEART; HEART CONTRACTION; HUMAN; PHYSIOLOGY; SARCOPLASMIC RETICULUM;

ADAPTATION, PHYSIOLOGICAL; ANIMALS; CALCIUM CHANNELS, L-TYPE; CALCIUM SIGNALING; COMPUTER SIMULATION; FEEDBACK; HEART; HUMANS; ION CHANNEL GATING; MEMBRANE POTENTIALS; MODELS, CARDIOVASCULAR; MYOCARDIAL CONTRACTION; RYANODINE RECEPTOR CALCIUM RELEASE CHANNEL; SARCOPLASMIC RETICULUM;

EID: 2442445113     PISSN: 00796107     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.pbiomolbio.2003.12.006     Document Type: Conference Paper

References (90)

1. Bauer P.J. The local Ca concentration profile in the vicinity of a Ca channel. Cell. Biochem. Biophys. 35:2001;49-61
2. Berlin J.R., Cannell M.B., Lederer W.J. Cellular origins of the transient inward current in cardiac myocytes. Role of fluctuations and waves of elevated intracellular calcium. Circ. Res. 65:1989;115-126
3. Bers D.M. Cardiac excitation-contraction coupling. Nature. 415:2002;198-205
4. 2+ sparks in cardiac muscle. Proc. Natl. Acad. Sci. USA. 94:1997;4176-4181
5. 2+ sparks evoked by action potentials in mouse ventricular myocytes. J. Physiol. 518:1999;469-478
6. Cannell M.B., Soeller C. Numerical analysis of ryanodine receptor activation by L-type channel activity in the cardiac muscle diad. Biophys. J. 73:1997;112-122
7. Cannell M.B., Berlin J.R., Lederer W.J. Effect of membrane potential changes on the calcium transient in single rat cardiac muscle cells. Science. 238:1987;1419-1423
8. i during excitation-contraction coupling in cardiac myocytes. Biophys. J. 67:1994;1942-1956
9. Cannell M.B., Cheng H., Lederer W.J. The control of calcium release in heart muscle. Science. 268:1995;1045-1049
10. 2+ channels. Annu. Rev. Cell. Dev. Biol. 16:2000;521-555
11. Cheng H., Lederer W.J., Cannell M.B. Calcium sparks. elementary events underlying excitation-contraction coupling in heart muscle Science. 262:1993;740-744
12. 2+ release channel adaptation. Science. 267:1995;2009-2010
13. i waves in cardiac myocytes. Am. J. Physiol. 270:1996;C148-159
14. 2+ release events in rat ventricular myocytes. J. Physiol. 516:1999;117-128
15. Faber G.M., Rudy Y. Action potential and contractility changes in [Na(+)](i) overloaded cardiac myocytes. a simulation study Biophys. J. 78:2000;2392-2404
16. Fabiato A. Calcium-induced release of calcium from the cardiac sarcoplasmic reticulum. Am. J. Physiol. 245:1983;C1-14
17. Fabiato A. Time and calcium dependence of activation and inactivation of calcium-induced release of calcium from the sarcoplasmic reticulum of a skinned canine cardiac Purkinje cell. J. Gen. Physiol. 85:1985;247-289
18. Fill M., Zahradnikova A., Villalba-Galea C.A., Zahradnik I., Escobar A.L., Gyorke S. Ryanodine receptor adaptation. J. Gen. Physiol. 116:2000;873-882
19. Forbes M.S., Sperelakis N. Bridging junctional processes in coupling of skeletal, cardiac and smooth muscle. Muscle & Nerve. 5:1982;674-681
20. Franzini-Armstrong C., Protasi F. Ryanodine receptors of striated muscles. a complex channel capable of multiple interactions Physiol. Rev. 77:1997;699-729
21. Franzini-Armstrong C., Protasi F., Ramesh V. Shape, size, and distribution of Ca(2+) release units and couplons in skeletal and cardiac muscles. Biophys. J. 77:1999;1528-1539
22. Gomez A.M., Valdivia H.H., Cheng H., Lederer M.R., Santana L.F., Cannell M.B., McCune S.A., Altschuld R.A., Lederer W.J. Defective excitation-contraction coupling in experimental cardiac hypertrophy and heart failure. Science. 276:1997;800-806
23. 2+ release. Biophys. J. 83:2002;2918-2945
24. Guatimosim S., Dilly K., Santana L.F., Saleet Jafri M., Sobie E.A., Lederer W.J. Local Ca(2+) signaling and EC coupling in heart. Ca(2+) sparks and the regulation of the [Ca(2+)](i) transient J. Mol. Cell. Cardiol. 34:2002;941-950
25. Gyorke S., Gyorke I., Lukyanenko V., Terentyev D., Viatchenko-Karpinski S., Wiesner T.F. Regulation of sarcoplasmic reticulum calcium release by luminal calcium in cardiac muscle. Front. Biosci. 7:2002;d1454-1463
26. Hess P., Tsien R.W. Mechanism of ion permeation through calcium channels. Nature. 309:1984;453-456
27. Hilgemann D.W., Noble D. Excitation-contraction coupling and extracellular calcium transients in rabbit atrium. reconstruction of basic cellular mechanisms Proc. R. Soc. Lond. B. 230:1987;163-205
28. Hinch, R., 2002. Mathematical models of the heart. Ph.D. Thesis, University of Oxford.
29. Ikemoto N., Ronjat M., Meszaros L.G., Koshita M. Postulated role of calsequestrin in the regulation of calcium release from sarcoplasmic reticulum. Biochemistry. 28:1989;6764-6771
30. 2+ channels. Neuron. 12:1994;1301-1318
31. 2+ channels Circ. Res. 92:2003;532-538
32. 2+ sparks. Biophys. J. 80:2001;88-102
33. Izu L.T., Wier W.G., Balke C.W. Evolution of cardiac calcium waves from stochastic calcium sparks. Biophys. J. 80:2001;103-120
34. 2+ dynamics. the roles of ryanodine receptor adaptation and sarcoplasmic reticulum load Biophys. J. 74:1998;1149-1168
35. 2+-release channel/ryanodine receptor is localized in junctional and corbular sarcoplasmic reticulum in cardiac muscle. J. Cell Biol. 120:1993;969-980
36. Josephson I.R., Guia A., Lakatta E.G., Stern M.D. Modulation of the conductance of unitary cardiac L-type Ca(2+) channels by conditioning voltage and divalent ions. Biophys. J. 83:2002;2587-2594
37. Josephson I.R., Guia A., Lakatta E.G., Stern M.D. Modulation of the gating of unitary cardiac L-type Ca(2+) channels by conditioning voltage and divalent ions. Biophys. J. 83:2002;2575-2586
38. 2+ oscillations. Biophys. J. 71:1996;3477-3487
39. Keizer J., Smith G.D. Spark-to-wave transition. saltatory transmission of calcium waves in cardiac myocytes Biophys. Chem. 72:1998;87-100
40. 2+ sparks. Biophys. J. 75:1998;595-600
41. Langer G.A., Peskoff A. Calcium concentration and movement in the diadic cleft space of the cardiac ventricular cell. Biophys. J. 70:1996;1169-1182
42. 2+ sparks in rat ventricular myocytes. J. Physiol. 507:1998;667-677
43. Luo C.H., Rudy Y. A dynamic model of the cardiac ventricular action potential. I. Simulations of ionic currents and concentration changes. Circ. Res. 74:1994;1071-1096
44. Marx S.O., Gaburjakova J., Gaburjakova M., Henrikson C., Ondrias K., Marks A.R. Coupled gating between cardiac calcium release channels (ryanodine receptors). Circ. Res. 88:2001;1151-1158
45. McDonald T.F., Cavalie A., Trautwein W., Pelzer D. Voltage-dependent properties of macroscopic and elementary calcium channel currents in guinea pig ventricular myocytes. Pflugers Arch. 406:1986;437-448
46. McDonald T.F., Pelzer S., Trautwein W., Pelzer D.J. Regulation and modulation of calcium channels in cardiac, skeletal, and smooth muscle cells. Physiol. Rev. 74:1994;365-507
47. 2+ current through cardiac ryanodine receptor channels under quasi-physiological ionic conditions. J. Gen. Physiol. 113:1999;177-186
48. 2+] at the mouth of a calcium channel. J. Neurosci. 17:1997;6961-6973
49. New W., Trautwein W. The ionic nature of slow inward current and its relation to contraction. Pflugers Arch. 334:1972;24-38
50. Page E., Buecker J.L. Development of dyadic junctional complexes between sarcoplasmic reticulum and plasmalemma in rabbit left ventricular myocardial cells. Morphometric analysis. Circ. Res. 48:1981;519-522
51. Page E., Surdyk-Droske M. Distribution, surface density, and membrane area of diadic junctional contacts between plasma membrane and terminal cisterns in mammalian ventricle. Circ. Res. 45:1979;260-267
52. 2+ release sites along Z-lines in rat heart cells. J. Physiol. 497:1996;31-38
53. Peskoff A., Post J.A., Langer G.A. Sarcolemmal calcium binding sites in heart. II. Mathematical model for diffusion of calcium released from the sarcoplasmic reticulum into the diadic region J. Membr. Biol. 129:1992;59-69
54. 2+-dependent inactivation of L-type calcium channels. Neuron. 22:1999;549-558
55. Peterson B.Z., Lee J.S., Mulle J.G., Wang Y., de Leon M., Yue D.T. Critical determinants of Ca(2+)-dependent inactivation within an EF-hand motif of L-type Ca(2+) channels. Biophys. J. 78:2000;1906-1920
56. Post J.A., Langer G.A. Sarcolemmal calcium binding sites in heart. I. Molecular origin in "gas-dissected" sarcolemma J. Membr. Biol. 129:1992;49-57
57. Pratusevich V.R., Balke C.W. Factors shaping the confocal image of the calcium spark in cardiac muscle cells. Biophys. J. 71:1996;2942-2957
58. Priebe L., Beuckelmann D.J. Simulation study of cellular electric properties in heart failure. Circ. Res. 82:1998;1206-1223
59. 2+ release in the functional unit of the cardiac diadic space. Biophys. J. 77:1999;1871-1884
60. Rios E., Stern M.D. Calcium in close quarters. microdomain feedback in excitation-contraction coupling and other cell biological phenomena Annu. Rev. Biophys. Biomol. Struct. 26:1997;47-82
61. 2+ sparks of frog skeletal muscle. J. Gen. Physiol. 114:1999;31-48
62. 2+ release channel adaptation. Science. 267:1995;2010-2011
63. 2+ sparks and local control theories for cardiac excitation-contraction coupling. Circ. Res. 78:1996;166-171
64. 2+ inactivation of canine reconstituted cardiac sarcoplasmic reticulum Ca(2+)-release channels. J. Physiol. 489:1995;337-348
65. 2+ release by a local inactivation of ryanodine receptors in cardiac myocytes. Proc. Natl. Acad. Sci. USA. 95:1998;15096-15101
66. 2+ reserve Circ. Res. 93:2003;40-45
67. 2+ release from the sarcoplasmic reticulum in guinea-pig ventricular myocytes. J. Physiol. 508:1998;439-451
68. 2+ channel. Biophys. J. 71:1996;3064-3072
69. Smith G.D., Keizer J.E., Stern M.D., Lederer W.J., Cheng H. A simple numerical model of calcium spark formation and detection in cardiac myocytes. Biophys. J. 75:1998;15-32
70. Snyder S.M., Palmer B.M., Moore R.L. A mathematical model of cardiocyte Ca(2+) dynamics with a novel representation of sarcoplasmic reticular Ca(2+) control. Biophys. J. 79:2000;94-115
71. Sobie E.A., Dilly K.W., dos Santos Cruz J., Lederer W.J., Jafri M.S. Termination of cardiac Ca(2+) sparks. an investigative mathematical model of calcium-induced calcium release Biophys. J. 83:2002;59-78
72. Soeller C., Cannell M.B. Numerical simulation of local calcium movements during L-type calcium channel gating in the cardiac diad. Biophys. J. 73:1997;97-111
73. Soeller C., Cannell M.B. Examination of the transverse tubular system in living cardiac rat myocytes by 2-photon microscopy and digital image-processing techniques. Circ. Res. 84:1999;266-275
74. 2+ sparks. Biophys. J. 82:2002;2396-2414
75. Soeller C., Cannell M.B. A numerical study of ryanodine receptor gating in the cardiac diad and comparison with experimental data. Biophys. J. 84:2003;432a
76. Sommer J.R., Waugh R.A. The ultrastructure of the mammalian cardiac muscle cell - with special emphasis on the tubular membrane systems. A review. Am. J. Pathol. 82:1976;192-232
77. Song L.S., Wang S.Q., Xiao R.P., Spurgeon H., Lakatta E.G., Cheng H. Beta-Adrenergic stimulation synchronizes intracellular Ca(2+) release during excitation-contraction coupling in cardiac myocytes. Circ. Res. 88:2001;794-801
78. Stern M.D. Buffering of calcium in the vicinity of a channel pore. Cell Calcium. 13:1992;183-192
79. Stern M.D. Theory of excitation-contraction coupling in cardiac muscle. Biophys. J. 63:1992;497-517
80. Stern M.D. The model of Snyder, et al. does not simulate graded Ca(2+) release from the cardiac sarcoplasmic reticulum in intact cells. Biophys. J. 79:2000;3353-3354
81. Stern M.D., Lakatta E.G. Excitation-contraction coupling in the heart. the state of the question FASEB J. 6:1992;3092-3100
82. Stern M.D., Song L.S., Cheng H., Sham J.S., Yang H.T., Boheler K.R., Rios E. Local control models of cardiac excitation-contraction coupling. A possible role for allosteric interactions between ryanodine receptors. J. Gen. Physiol. 113:1999;469-489
83. Tang Y., Othmer H.G. A model of calcium dynamics in cardiac myocytes based on the kinetics of ryanodine-sensitive calcium channels. Biophys. J. 67:1994;2223-2235
84. Wang S.Q., Song L.S., Xu L., Meissner G., Lakatta E.G., Rios E., Stern M.D., Cheng H. Thermodynamically irreversible gating of ryanodine receptors in situ revealed by stereotyped duration of release in Ca(2+) sparks. Biophys. J. 83:2002;242-251
85. Wier W.G., Balke C.W. Ca(2+) release mechanisms, Ca(2+) sparks, and local control of excitation-contraction coupling in normal heart muscle. Circ. Res. 85:1999;770-776
86. Wier W.G., Egan T.M., Lopez-Lopez J.R., Balke C.W. Local control of excitation-contraction coupling in rat heart cells. J. Physiol. 474:1994;463-471
87. Williams A.J., West D.J., Sitsapesan R. Light at the end of the Ca(2+)-release channel tunnel. structures and mechanisms involved in ion translocation in ryanodine receptor channels Q. Rev. Biophys. 34:2001;61-104
88. 2+. J. Gen. Physiol. 95:1990;911-939
89. Zahradnikova A., Zahradnik I. A minimal gating model for the cardiac calcium release channel. Biophys. J. 71:1996;2996-3012
90. Zahradnikova A., Zahradnik I., Gyorke I., Gyorke S. Rapid activation of the cardiac ryanodine receptor by submillisecond calcium stimuli. J. Gen. Physiol. 114:1999;787-798