Impact of mitochondrial Ca2+ cycling on pattern formation and stability.

Energization of mitochondria significantly alters the pattern of Ca2+ wave activity mediated by activation of the inositol (1,4,5) trisphosphate (IP3) receptor (IP3R) in Xenopus oocytes. The number of pulsatile foci is reduced and spiral Ca2+ waves are no longer observed. Rather, target patterns of Ca2+ release predominate, and when fragmented, fail to form spirals. Ca2+ wave velocity, amplitude, decay time, and periodicity are also increased. We have simulated these experimental findings by supplementing an existing mathematical model with a differential equation for mitochondrial Ca2+ uptake and release. Our calculations show that mitochondrial Ca2+ efflux plays a critical role in pattern formation by prolonging the recovery time of IP3Rs from a refractory state. We also show that under conditions of high energization of mitochondria, the Ca2+ dynamics can become bistable with a second stable stationary state of high resting Ca2+ concentration.

[1]  K. Zahs,et al.  Calcium Waves in Retinal Glial Cells , 1997, Science.

[2]  M. Berridge Inositol trisphosphate and calcium signalling , 1993, Nature.

[3]  K. Reed,et al.  Cooperative interactions in energy-dependent accumulation of Ca2+ by isolated rat liver mitochondria. , 1971, Nature: New biology.

[4]  C. Fewtrell Ca2+ oscillations in non-excitable cells. , 1993, Annual review of physiology.

[5]  L. Blatter,et al.  Agonist-induced [Ca2+]i waves and Ca(2+)-induced Ca2+ release in mammalian vascular smooth muscle cells. , 1992, The American journal of physiology.

[6]  T. Gunter,et al.  Mechanisms by which mitochondria transport calcium. , 1990, The American journal of physiology.

[7]  Michael J. Sanderson,et al.  Mechanisms and function of intercellular calcium signaling , 1994, Molecular and Cellular Endocrinology.

[8]  L. Stryer,et al.  Range of messenger action of calcium ion and inositol 1,4,5-trisphosphate. , 1992, Science.

[9]  Haruo Kasai,et al.  Cytosolic Ca2+ gradients triggering unidirectional fluid secretion from exocrine pancreas , 1990, Nature.

[10]  S. M. Goldin,et al.  Calcium as a coagonist of inositol 1,4,5-trisphosphate-induced calcium release. , 1991, Science.

[11]  Keli Xu,et al.  Calcium oscillations increase the efficiency and specificity of gene expression , 1998, Nature.

[12]  Tullio Pozzan,et al.  Rapid changes of mitochondrial Ca2+ revealed by specifically targeted recombinant aequorin , 1992, Nature.

[13]  J Bures,et al.  Spiral waves of spreading depression in the isolated chicken retina. , 1983, Journal of neurobiology.

[14]  J. Keizer,et al.  A single-pool inositol 1,4,5-trisphosphate-receptor-based model for agonist-stimulated oscillations in Ca2+ concentration. , 1992, Proceedings of the National Academy of Sciences of the United States of America.

[15]  W. Loomis,et al.  Biochemistry of Aggregation in Dictyostelium. A review. , 1979, Developmental biology.

[16]  Y. Tang,et al.  Calcium dynamics and homeostasis in a mathematical model of the principal cell of the cortical collecting tubule , 1996, The Journal of general physiology.

[17]  James Watras,et al.  Bell-shaped calcium-response curves of lns(l,4,5)P3- and calcium-gated channels from endoplasmic reticulum of cerebellum , 1991, Nature.

[18]  G. Hajnóczky,et al.  Spatial organization of oscillating calcium signals in liver. , 1995, Biochemical Society transactions.

[19]  A. Charles,et al.  Spiral intercellular calcium waves in hippocampal slice cultures. , 1998, Journal of neurophysiology.

[20]  I. Parker,et al.  Ca2+ influx modulation of temporal and spatial patterns of inositol trisphosphate‐mediated Ca2+ liberation in Xenopus oocytes. , 1994, The Journal of physiology.

[21]  L. Rensing Oscillations and morphogenesis , 1993 .

[22]  A. Karma Electrical alternans and spiral wave breakup in cardiac tissue. , 1994, Chaos.

[23]  A Goldbeter,et al.  Signal-induced Ca2+ oscillations: properties of a model based on Ca(2+)-induced Ca2+ release. , 1991, Cell calcium.

[24]  J. Keizer,et al.  Model of beta-cell mitochondrial calcium handling and electrical activity. II. Mitochondrial variables. , 1998, The American journal of physiology.

[25]  S. Wang,et al.  Confocal imaging and local photolysis of caged compounds: Dual probes of synaptic function , 1995, Neuron.

[26]  M. Fallon,et al.  Ca2+ waves are organized among hepatocytes in the intact organ. , 1995, American Journal of Physiology.

[27]  S. Finkbeiner,et al.  Glutamate induces calcium waves in cultured astrocytes: long-range glial signaling. , 1990, Science.

[28]  P. Camacho,et al.  Ca2+ wave dispersion and spiral wave entrainment in Xenopus laevis oocytes overexpressing Ca2+ ATPases. , 1998, Biophysical Chemistry.

[29]  H G Othmer,et al.  A model of calcium dynamics in cardiac myocytes based on the kinetics of ryanodine-sensitive calcium channels. , 1994, Biophysical journal.

[30]  P. Camacho,et al.  Increased frequency of calcium waves in Xenopus laevis oocytes that express a calcium-ATPase. , 1993, Science.

[31]  J. Meldolesi,et al.  Molecular and cellular physiology of intracellular calcium stores. , 1994, Physiological reviews.

[32]  F. Billett,et al.  Mitochondrial number, cytochrome oxidase and succinic dehydrogenase activity in Xenopus laevis oocytes. , 1981, Journal of embryology and experimental morphology.

[33]  J. Pearson,et al.  Simulation of the fertilization Ca2+ wave in Xenopus laevis eggs. , 1998, Biophysical journal.

[34]  Alexander S. Mikhailov,et al.  Foundations of Synergetics II , 1990 .

[35]  J. Putney,et al.  Spatial and temporal aspects of cellular calcium signaling , 1996, FASEB journal : official publication of the Federation of American Societies for Experimental Biology.

[36]  G. Bock,et al.  Calcium waves, gradients and oscillations , 1995 .

[37]  B. Hille,et al.  Dominant Role of Mitochondria in Clearance of Large Ca2+ Loads from Rat Adrenal Chromaffin Cells , 1996, Neuron.

[38]  Roger Y. Tsien,et al.  Cell-permeant caged InsP3 ester shows that Ca2+ spike frequency can optimize gene expression , 1998, Nature.

[39]  M. Iino,et al.  Biphasic Ca2+ dependence of inositol 1,4,5-trisphosphate-induced Ca release in smooth muscle cells of the guinea pig taenia caeci , 1990, The Journal of general physiology.

[40]  J. Rinzel,et al.  Equations for InsP3 receptor-mediated [Ca2+]i oscillations derived from a detailed kinetic model: a Hodgkin-Huxley like formalism. , 1994, Journal of theoretical biology.

[41]  W. Baxter,et al.  Stationary and drifting spiral waves of excitation in isolated cardiac muscle , 1992, Nature.

[42]  A P Thomas,et al.  Coordination of Ca2+ Signaling by Intercellular Propagation of Ca2+ Waves in the Intact Liver (*) , 1995, The Journal of Biological Chemistry.

[43]  A. Atri,et al.  A single-pool model for intracellular calcium oscillations and waves in the Xenopus laevis oocyte. , 1993, Biophysical journal.

[44]  R Y Tsien,et al.  Calcium channels, stores, and oscillations. , 1990, Annual review of cell biology.

[45]  M. Welsh,et al.  Inositol trisphosphate is required for the propagation of calcium waves in Xenopus oocytes. , 1992, The Journal of biological chemistry.

[46]  A. Scarpa,et al.  Mechanisms for Intracellular Calcium Regulation in Heart , 1973, The Journal of general physiology.

[47]  T. Pozzan,et al.  Microdomains with high Ca2+ close to IP3-sensitive channels that are sensed by neighboring mitochondria. , 1993, Science.

[48]  E. Marinos The number of mitochondria in Xenopus laevis ovulated oocytes. , 1985, Cell differentiation.

[49]  James P. Keener,et al.  Dispersion of traveling waves in the Belousov-Zhabotinskii reaction , 1988 .

[50]  J. Putney,et al.  The inositol phosphate-calcium signaling system in nonexcitable cells. , 1993, Endocrine reviews.

[51]  James D. Lechleiter,et al.  Synchronization of calcium waves by mitochondrial substrates in Xenopus laevis oocytes , 1995, Nature.

[52]  J. Keizer,et al.  Model of β-cell mitochondrial calcium handling and electrical activity. I. Cytoplasmic variables. , 1998, American journal of physiology. Cell physiology.

[53]  N. Spitzer,et al.  Distinct aspects of neuronal differentiation encoded by frequency of spontaneous Ca2+ transients , 1995, Nature.

[54]  J. Keizer,et al.  Minimal model of beta-cell mitochondrial Ca2+ handling. , 1997, The American journal of physiology.

[55]  S A MacKay,et al.  Quantitative analysis of cyclic AMP waves mediating aggregation in Dictyostelium discoideum. , 1983, Developmental biology.

[56]  R. Nuccitelli,et al.  Characterization of the sperm-induced calcium wave in Xenopus eggs using confocal microscopy. , 1998, Biophysical journal.

[57]  David E. Clapham,et al.  Molecular mechanisms of intracellular calcium excitability in X. laevis oocytes , 1992, Cell.

[58]  D. Clapham,et al.  Spiral calcium wave propagation and annihilation in Xenopus laevis oocytes. , 1991, Science.

[59]  H G Othmer,et al.  Simplification and analysis of models of calcium dynamics based on IP3-sensitive calcium channel kinetics. , 1996, Biophysical journal.

[60]  B. Hille,et al.  Involvement of mitochondria in intracellular calcium sequestration by rat gonadotropes. , 1996, Cell calcium.

[61]  S. Snyder,et al.  The inositol 1,4,5,-trisphosphate receptor in cerebellar Purkinje cells: quantitative immunogold labeling reveals concentration in an ER subcompartment , 1990, The Journal of cell biology.

[62]  I. Parker,et al.  Inhibition by Ca2+ of inositol trisphosphate-mediated Ca2+ liberation: a possible mechanism for oscillatory release of Ca2+. , 1990, Proceedings of the National Academy of Sciences of the United States of America.

[63]  J. Lechleiter,et al.  Subcellular patterns of calcium release determined by G protein-specific residues of muscarinic receptors , 1991, Nature.

[64]  A. Trewavas,et al.  Calcium Waves and Dynamics Visualized by Confocal Microscopy in Xenopus Oocytes Expressing Cloned TRH Receptors , 1994, Journal of neuroendocrinology.