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Transport and Structure pp 164–190Cite as

Inositol 1,4,5-trisphosphate induced calcium waves

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Part of the book series: Lecture Notes in Physics ((LNP,volume 532-532))

Abstract

Traveling waves of high concentration of Ca2+ are observed in many different cells and have attracted great interest in experimental and theoretical biological research in recent years. They are created by the nonlinear dynamics of the release and uptake of Ca2+ by intracellular Ca2+ stores like the endoplasmatic or sarcoplasmatic reticulum. Their characteristics depend on other cellular organelles and components like mitochondria and Ca2+ buffers too. Here, we present some mathematical models and results of recent research on intracellular Ca2+ waves generated by the inositol 1,4,5-trisphosphate receptor channel including the modeling of Calcium induced Calcium release, buffer dynamics, impact of mitochondria on wave formation and the effect of the spatial discreteness of the channels releasing Ca2+. Modeling of the communication of Ca2+ waves to adjacent cells through gap junctions concludes this report.

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References

  1. Alberts, B., D.Bray, J.Lewis, M.Raff, K.Roberts, J.D.Watson, 1994, Molecular Biology of the Cell, Garland Publishing, Inc. New York & London

    Google Scholar 

  2. Kandel, E.R., J.H. Schwartz, T.M. Jessel, 1991, Principles of Neural Science, Appleton & Lange, Norwalk, Connecticut Calspringer

    Google Scholar 

  3. Nuccitelli, R. 1991, How Do Sperm Activate Eggs?, Current Topics in Developmental Biology 25, 1–16

    Article  Google Scholar 

  4. Gu, X., N. Spitzer, 1995, Distinct aspects of neuronal differentiation encoded by frequency of spontaneous Ca2+ transients, Nature 375, 784–787

    Article  ADS  Google Scholar 

  5. Berridge, M.J., M.D. Bootman, P. Lipp, 1998, Calcium — a life and death signal, Nature 395, 645–648

    Article  ADS  Google Scholar 

  6. Ridgeway, E.B., J.C. Gilkey, L.F. Jaffe, 1977, Proc.Natl.Acad.Sci. USA 74, 623

    Article  ADS  Google Scholar 

  7. Lechleiter, J., S. Girard, E. Peralta, D. Clapham, 1991, Spiral calcium wave propagation and annihilation in Xenopus laevis oocytes, Science 252, 123–129

    Article  ADS  Google Scholar 

  8. Fontanilla, R.A., R. Nuccitelli, 1998, Characterization of the sperm-induced calcium wave in Xenopus eggs using confocal microscopy, Biophys.J. 75, 2079–2087

    Article  ADS  Google Scholar 

  9. Nathanson, H.N., A.D. Burgstahler, M.B. Fallon, 1994, Multistep Mechanism of polarized Ca2+ wave patterns in hepatocytes, Am. J. Physiol. 267, G338–G349

    Google Scholar 

  10. D’Andrea, P., F. Vittur, 1995, Spatial and Temporal Ca2+ Signalling in Articular Chondrocytes, Biochemical and Biophysical Research Communications, 215, 129–135

    Article  Google Scholar 

  11. Orchard, C.H., M.R. Mustafa, K. White, 1995, Oscillations and Waves of Intracellular [Ca2+] in Cardiac Muscle Cells, Chaos, Solitons & Fractals, 5, 447–458

    Article  MATH  ADS  Google Scholar 

  12. Wussling, M.H.P., H. Salz, 1996, Nonlinear Propagation of Spherical Calcium Waves in Rat Cardiac Myocytes, Biophys. J. 70, 1144–1153

    Article  ADS  Google Scholar 

  13. Jaffe, L.F., 1993, Classes and mechanisms of calcium waves, Cell Calcium 14, 736–745

    Article  Google Scholar 

  14. Charles, A.C., E.R. Dirksen, J.E. Merril, M.J. Sanderson, 1991, Intercellular signalling in glial cells: calcium waves and oscillations in reponse to mechanical stimulation and glutamate, Neuron 6, 983–992

    Article  Google Scholar 

  15. Robb-Gaspers, L.D., A.P. Thomas, 1995, Coordination of Ca2+ signaling by intercellular propagation of Ca2+ waves in the intact liver, J.Biol.Chem. 270, 8102–8107

    Article  Google Scholar 

  16. Sanderson, M.J., A.C. Charles, S. Boitano, E.R. Dirksen, 1994, Mechanism and function of intercellular calcium signalling, Mol.Cell.Endocrinology, 98, 173–187

    Article  Google Scholar 

  17. Sanderson, M.J., A.C. Charles, E.R. Dirksen, 1990, Mechanical stimulation and intercellular communication increases intracellular Ca2+ in epithelial cells, Cell Regul. 1, 585–596

    Google Scholar 

  18. Harris-White, M.E., S.A. Zanotti, S.A. Frautschy, A.C. Charles, 1998, Spiral intercellular calcium waves in hippocampal slice cultures, J. Neurophysiol. 79, 1045–1052

    Google Scholar 

  19. Charles, A.C., Glia-neuron intercellular calcium signalling, 1994, Dev. Neurosci. 16, 196–206

    Article  Google Scholar 

  20. Hassinger, T.D., P.B. Atkinson, G.J. Strecker, L.R. Wahlen, F.E. Dudek, A.H. Kossel, S.B. Kater, 1995, Evidence for glutamate-mediated activation of hippocampal neurons by glial calcium waves, J. Neurobiol. 28, 159–170

    Article  Google Scholar 

  21. Marinos, E., 1985, Cell Differentiation 16, 139–143

    Article  Google Scholar 

  22. Marinos, E., F.S. Billet, 1981, J. Embryol. Exp. Morph. 62, 395–409

    Google Scholar 

  23. DeYoung, G.W., J. Keizer, 1992, A single-pool inositol 1,4,5-trisphosphate-receptor-based model for agonist-stimulated oscillations in Ca2+ concentration, Proc.Natl.Acad.Sci USA 89, 9895–9899

    Article  ADS  Google Scholar 

  24. Li, Y.-X., J. Rinzel, 1994, Equations for InsP3 receptor-mediated [Ca2+]i oscillations derived from a detailed kinetic model: A Hodgkin-Huxley like formalism, J.theor.Biol. 166, 461–473

    Article  Google Scholar 

  25. Keizer, J., G. DeYoung, 1994, Simplification of a realistic model of IP3-induced Ca2+ oscillations, J.theor.Biol. 166, 431–442

    Article  Google Scholar 

  26. Atri, A., J. Amundson, D. Clapham, J. Sneyd, 1993, A single pool model for Intracellular Calcium Oscillations and Waves in the Xenopus laevis Oocyte, Biophys. J. 65, 1727–1739

    Article  Google Scholar 

  27. Wootton, J., J. Corrie, T. Capiol, J. Feeney, D. Trentham, D. Ogden, 1995, Kinetic of cytosolic Ca2+ concentration after photolytic release of 1-D-inositol 14,-bisphosphate 5-phosphorohtioate from a caged derivative guinea pig hepatocytes. Biophys.J. 68, 2601–2607

    Article  ADS  Google Scholar 

  28. Gyorke, S., M. Fill, 1993, Ryanodine receptor adaptation: Control mechanism of calcium induced calcium release in heart, Science 260, 807–809

    Article  ADS  Google Scholar 

  29. Parys, J.B., S.W. Sernett, S. DeLisle, P.M. Snyder, M.J. Welsh, K. Campbell, 1992, Isolation, characterization, and localization of the inositol 1,4,5-trisphosphate receptor protein in Xenopus laevis oocytes, J.Biol.Chem, 267, 18776–18782

    Google Scholar 

  30. Tang, Y., J.L. Stephenson, H.G. Othmer, 1996, Simplification and analysis of models of calcium dynamics based on IP3-sensitive calcium channel kinetics, Biophys. J. 70, 246–263

    Article  Google Scholar 

  31. Bezprozvanny, I., J. Watras, B.E. Ehrlich, 1991, Bell-shaped calcium-response curves of Ins(1,4,5)P3-and calcium-gated channels from endoplasmatic reticulum of cerebellum, Nature 351, 751–754

    Article  ADS  Google Scholar 

  32. Watras, J., I. Bezprozvanny, B.E. Ehrlich, 1991, Inositol 1,4,5-trisphosphategated channels in cerebellum: presence of multiple conductance states, J.Neurosci. 11, 3239–3245

    Google Scholar 

  33. Li, Y.-X., J. Keizer, S. Stojilkovich, J. Rinzel, 1995, Ca2+ excitability of the ER membrane: an explanation for IP3-induced Ca2+ oscillations, Am.J.Physiol. 269, C1079–C1092

    Google Scholar 

  34. Berridge, M.J., Inositol trisphosphate and Diacylglycerol: Two Interacting Second Messengers, 1987, Ann. Rev. Biochem. 56, 159–93.

    Google Scholar 

  35. Berridge, M.J., Inositol trisphosphate and Calcium signalling, 1993, Nature 361, 315

    Article  ADS  Google Scholar 

  36. Bootman, M.D., M.J. Berridge, The elemental principles of Calcium signaling, 1995, Cell 83, 675–8.

    Article  Google Scholar 

  37. Lechleiter, J.D., L.M. John, P. Camacho, 1998, Ca2+ wave dispersion and spiral wave entrainment in Xenopus laevis oocytes overexpressing Ca2+ ATPases, J. Biophysical Chemistry 72, 123–129

    Article  Google Scholar 

  38. J.P. Keener, J.J. Tyson, 1986, Singular perturbation theory of traveling waves in excitable media, Physica D 32, 327–361.

    MathSciNet  Google Scholar 

  39. Lechleiter, J.D., D. Clapham, 1992, Molecular mechanism of intracellular Calcium excitability in Xenopus laevis oocytes, Cell 69, 283–294

    Article  Google Scholar 

  40. Lechleiter, J.D., S. Girard, D. Clapham, E. Peralta, 1991, Subcellular patterns of Calcium release determined by G-protein-specific residues of muscarinic receptors, Nature 350, 505–508

    Article  ADS  Google Scholar 

  41. Camacho, P., J. D. Lechleiter, in Calcium Waves, Gradients and Oscillations, Ciba F. Symposium, (Wiley, Chichester, 1995), vol. 188, pp. 66–84

    Google Scholar 

  42. Lehninger, A.L., The mitochondrion: molecular basis of structure and function, 1965, W.A.Benjamin, New York

    Google Scholar 

  43. Charles, A.C., C.G. Naus, D. Zhu, G.M. Kidder, E.R. Dirksen, M.J. Sanderson, Intercellular calcium signalling via gap junctions in glioma cells, 1992, J.Cell Biol. 118, 195–201

    Article  Google Scholar 

  44. Boitano, S., E.R. Dirksen, M.J. Sanderson, Intercellular propagation of Calcium waves mediated by inositol trisphosphate, 1992, Science 258, 292–294

    Article  ADS  Google Scholar 

  45. Dani, J.W., A. Cherjavsky, S.J. Smith, 1992, Neuronal activity triggers calcium waves in hippocampal astrocyte networks. Neuron 8, 429–440

    Article  Google Scholar 

  46. Falcke, M., M.Bär, J.D.Lechleiter, J.L.Hudson, 1998, Spiral breakup and defect dynamics in a model for intracellular Ca2+ dynamics, Physica D, im press

    Google Scholar 

  47. McKenzie, A., J.Sneyd, 1998, On the formation and Breakup of Spiral Waves of Calcium, International Journal of Bifurcations and Chaos, in press

    Google Scholar 

  48. Magnus, G., J. Keizer, Model of β-cell mitochondrial calcium handling and electrical activity. I. Cytoplasmic variables, 1998, Am.J.Physiol. 274, C1158–C1173

    Google Scholar 

  49. Magnus, G., J. Keizer, Model of β-cell mitochondrial calcium handling and electrical activity. II. Mitochondrial variables, 1998, Am.J.Physiol. 274, C1173–C1184

    Google Scholar 

  50. Magnus, G., J. Keizer, Minimal Model of β-cell mitochondrial Ca2+ handling, 1997, Am.J.Physiol. 273, C717–C733

    Google Scholar 

  51. Falcke, M., J.L.Hudson, P.Camacho, J.D.Lechleiter, Impact of mitochondrial Ca2+ cycling on pattern formation and stability, 1999, Biophys.J., in press

    Google Scholar 

  52. Selivanov, V.A., F. Ichas, E.L. Holmuhamedov, L.S. Jouaville, Y.V. Evtodienko, J.-P. Mazat, A model of mitochondrial Ca2+-induced Ca2+ release simulating the Ca2+ oscillations and spikes generated by mitochondria, 1998, Biophys.Chem. 72, 111–121

    Article  Google Scholar 

  53. Camacho P., J.D. Lechleiter, 1993, Increased Frequency of Calcium Waves in Xenopus laevis Oocytes That Express a Calcium-ATPase, Science 260, 226–229

    Article  ADS  Google Scholar 

  54. Allbritton, N.L., T. Meyer, L. Sryer, 1992, Range of messenger action of Calcium ion and inositol 1,4,5 trisphosphate, Science 258, 1812–1815

    Article  ADS  Google Scholar 

  55. Milner, R.E., K.S. Famulski, M. Michalak, 1992, Calcium binding proteins in the sarco/endoplasmatic reticulum of muscle and nonmuscle cells, Mol. Cell. Biochem. 112, 1–13

    Article  Google Scholar 

  56. Zhou, Z., E. Neher, 1993, Mobile and immobile calcium buffers in bovine adrenal chromaffin cells, J.Physiol. 469, 245–273

    Google Scholar 

  57. Neher, E., G.J. Augustine, 1992, Calcium gradients and buffers in bovine chromaffin cells, J.Physiol. 450, 273–301

    Google Scholar 

  58. Wagner, J., J. Keizer, 1994, Effects of rapid buffers on Ca2+ oscillations and Ca2+ diffusion, Biophys.J. 67, 447456

    Article  Google Scholar 

  59. Sneyd, J., P.D. Dale, A. Duffy, 1998, Traveling waves in buffered systems: Applications to calcium waves, SIAM J. on Applied Mathematics 58, 1178–1192

    Article  MATH  MathSciNet  Google Scholar 

  60. Sneyd, J., C. Charles, M.J. Sanderson, 1994, A model for the propagation of intercellular calcium waves, Am.J.Physiol. 266, C293–C302

    Google Scholar 

  61. Sneyd, J., B. Wetton, C. Charles, M.J. Sanderson, 1995, Intercellular calcium waves mediated by the diffusion of inositol trisphosphate: a two-dimensional model, Am.J.Physiol. 268, C1537–C1545

    Google Scholar 

  62. Wilkins, M., J. Sneyd, Intercellular spiral waves of calcium, 1998, J.Theor.Biol. 191, 299–308

    Article  Google Scholar 

  63. Jafri, M.S., J. Keizer, 1995, On the roles of Ca2+ diffusion, Ca2+ buffers and the endoplasmatic reticulum in IP3-induced Ca2+ waves, Biophys. J. 69, 2139–2153

    Article  ADS  Google Scholar 

  64. Gunter, T. E., D.R. Pfeiffer, 1990, Am. J. Physiol. 258, C755–C786

    Google Scholar 

  65. Rizzuto, R., A.V.M. Simpson, M. Brini, T. Pozzan, 1992, Nature 358, 325–327

    Article  ADS  Google Scholar 

  66. Rizzuto, R., M. Brini, M. Murgia, T. Pozzan, 1993, Microdomains with high Ca2+ close to IP3-sensitive channels that are sensed by neighboring mitochondria, Science 262, 744–747

    Article  ADS  Google Scholar 

  67. Jouaville, L.S., F. Ichas, E.L. Holmuhamedov, P. Camacho, J.D. Lechleiter, Synchronisation of calcium waves of mitochondrial substrates in Xenopus laevis oocytes, 1995, Nature 377, 438–441

    Article  ADS  Google Scholar 

  68. Bygrave F.L., K.C. Reed, T. Spencer, 1971, Nature New Biol. 230, 89

    Google Scholar 

  69. Scarpa, A., P. Grazzoti, 1973, J. Gen. Physiol. 258, C755

    Google Scholar 

  70. Satoh, T., C.A. Ross, A. Villa, S. Supattapone, T. Pozzan, S.H. Snyder, J. Meldolesi, 1990, J. of Cell Biology 111, 615–624

    Article  Google Scholar 

  71. Bugrim, A.E., A.M. Zhabotinsky, I.R. Epstein, 1997, Calcium waves in a model with random spatially discrete distribution of Ca2+ release sites, Biophys. J. 73, 2897–2906

    Article  Google Scholar 

  72. Keizer, J., G.D. Smith, 1998, Spark-to-wave transition: saltatory transmission of calcium waves in cardiac myocytes, 1998, Biophys. Chem. 72, 87–100

    Article  Google Scholar 

  73. Keizer, J., G.D. Smith, S. Ponce-Dawson, J.E. Pearson, 1998, Saltatory propagation of Ca2+ waves by Ca2+ sparks, 1998, Biophys. J. 75, 595–600

    Article  ADS  Google Scholar 

  74. Keener, J.P., 1987, Propagation and its failure in coupled systems of discrete excitable cells, SIAM J. Appl. Math. 47, 556–572

    Article  MATH  MathSciNet  Google Scholar 

  75. Wagner, J., Y.-X. Li, J. Pearson, J. Keizer, 1998, Simulation of the fertilization Ca2+ wave in Xenopus laevis eggs, Biophys. J. 75, 2088–2097

    Article  Google Scholar 

  76. Pearson, J.E., S. Ponce-Dawson, 1998, Crisis on skid row, Physica A 257, 141–148

    Article  Google Scholar 

  77. Mitkov, I., K. Kladko, J.E. Pearson, 1998, Tunable pinning of burst waves in extended systems with discrete sources, Phys. Rev. Lett. 81, 5453–5456

    Article  ADS  Google Scholar 

  78. Cheng, H., W.J. Lederer, M.B. Cannel, 1993, Calcium sparks and [Ca 2+i ] waves in cardiac myocytes, Am. J. Physiol. 270, C148–C159

    Google Scholar 

  79. Parker, I., Y. Yao, 1991, Proc. R. Soc. Lond. B 246, 269

    Article  ADS  Google Scholar 

  80. Parker, I., Y. Yao, 1995, Calcium puffs in Xenopus oocytes, In Calcium Waves, Gradients and Oscillations, G.R. Bock, K. Ackrill, editors, Wiley, Chichester, England

    Google Scholar 

  81. Parker, I., Y. Yao, 1996, Ca2+ transients associated with openings of inositol trisphosphate gated channels in Xenopus oocytes, J. Physiol.(Lond.) 491, 663–668

    Google Scholar 

  82. Keener, J.P,, J. Sneyd, “Mathematical Physiology” Springer, New York 1998

    MATH  Google Scholar 

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  1. Max Planck Institute for Physics of Complex Systems, Nöthnitzer Str. 38, 01187, Dresden, Germany

    M. Falcke

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  1. M. Falcke
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Stefan C. Müller Jürgen Parisi Walter Zimmermann

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Falcke, M. (1999). Inositol 1,4,5-trisphosphate induced calcium waves. In: Müller, S.C., Parisi, J., Zimmermann, W. (eds) Transport and Structure. Lecture Notes in Physics, vol 532-532. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0104226

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  • DOI: https://doi.org/10.1007/BFb0104226

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