Modelling of simple and complex calcium oscillations from single-cell responses to intercellular signalling

European Journal of Biochemistry

Volumn 269, Issue 5, 2002, Pages 1333-1355

  Schuster, Stefan ^a,b   Marhl, Marko ^c   Höfer, Thomas ^b  

^a MAX DELBRÜCK CENTER FOR MOLECULAR MEDICINE   (Germany)

^b HUMBOLDT UNIVERSITY   (Germany)

^c UNIVERSITY OF MARIBOR   (Slovenia)

Author keywords

Bursting; Calcium oscillations; Calcium induced calcium release; Entrainment; Frequency encoding; Gap junctions; Homoclinic bifurcation; Hopf bifurcation; Inositol 1,4,5 trisphosphate; IP3 receptors

Indexed keywords

CALCIUM BINDING PROTEIN; CALCIUM ION; GUANINE NUCLEOTIDE BINDING PROTEIN; INOSITOL 1,4,5 TRISPHOSPHATE; INOSITOL 1,4,5 TRISPHOSPHATE RECEPTOR;

CALCIUM SIGNALING; CALCIUM TRANSPORT; CYTOPLASM; GAP JUNCTION; KINETICS; MATHEMATICAL MODEL; MITOCHONDRION; PHYSIOLOGY; PRIORITY JOURNAL; REVIEW;

ANIMALS; CALCIUM; CALCIUM CHANNELS; CALCIUM SIGNALING; HUMANS; INOSITOL 1,4,5-TRISPHOSPHATE; INOSITOL 1,4,5-TRISPHOSPHATE RECEPTORS; MATHEMATICS; MITOCHONDRIA; MODELS, BIOLOGICAL; PHOSPHORYLATION; RECEPTORS, CYTOPLASMIC AND NUCLEAR;

EID: 0036125304     PISSN: 00142956     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.0014-2956.2001.02720.x     Document Type: Review

References (246)

1. + conductance in bullfrog sympathetic ganglion cell is sensitive to intracellular anions
2. 2+
3. Repetitive transient rises in cytoplasmic free calcium in hormone-stimulated hepatocytes
4. Agonist-induced oscillations in cytoplasmic free calcium concentration in single rat hepatocytes
5. Calcium - A life and death signal
6. Calcium signalling
7. 2+ oscillations in the activation of the egg and development of the embryo in mammals
8. Cytosolic calcium oscillations and insulin release in pancreatic islets of Langerhans
9. Agonist-stimulated pathways of calcium signaling in pancreatic acinar cells
10. Stimulus-induced oscillations in guard-cell cytosolic free calcium
11. Molecular model for receptor-stimulated calcium spiking
12. Calcium spiking
13. Theoretical insights into the origin of signal-induced calcium oscillations
14. 2+ oscillations and for their frequency encoding through protein phosphorylation
15. Modelling receptor-controlled intracellular calcium oscillators
16. Hormone-induced calcium oscillations in liver cells can be explained by a simple one pool model
17. 2+ concentration
18. Mechanisms of calcium oscillations and waves: A quantitative analysis
19. 2+ transients
20. From calcium blips to calcium puffs: Theoretical analysis of the requirements for interchannel communication
21. Emergence of organized bursting in clusters of pancreatic Β-cells by channel sharing
22. Discrete stochastic modeling of calcium channel dynamics
23. 2+ release
24. Stochastic effects in intercellular calcium spiking in hepatocytes
25. Structured Biological Modelling: A method for the analysis and simulation of biological systems applied to oscillatory intracellular calcium waves
26. Crosstalk between cellular morphology and calcium oscillation patterns - Insights from a stochastic computer model
27. Symmetry breaking instabilities in dissipative systems II
28. A systematically designed homogeneous oscillating reaction: The arsenite-iodate-chlorite system
29. Smallest chemical reaction system with Hopf bifurcation
30. A minimal cascade model for the mitotic oscillator involving cyclin and cdc2 kinase
31. Modeling the fission yeast cell cycle: Quantized cycle times in wee1- cdc25Δ mutant cells
32. Mechanisms of cardiac fibrillation
33. How yeast cells synchronize their glycolytic oscillations: A perturbation analytic treatment
34. Effect of cellular interaction on glycolytic oscillations in yeast: A theoretical investigation
35. 2+ entry in Dictyostelium discoideum
36. Inositol trisphosphate and calcium signalling
37. Inositol 1,4,5-trisphosphate-gated channels in cerebellum: Presence of multiple conductance states
38. 3) receptor
39. Elementary and global aspects of calcium signalling
40. Structure, function, and control of phosphoinositide-specific phospholipase C
41. Cyclic ADP-ribose, the ADP-ribosyl cyclase pathway and calcium signalling
42. Calcium induced calcium release of calcium from the sarcoplasmic reticulum of skinned skeletal muscle fibres
43. Contractions induced by a calcium-triggered release of calcium from the sarcoplasmic reticulum of single skinned cardiac cells
44. Injections of porcine sperm extracts trigger fertilization-like calcium oscillations in oocytes of a marine worm
45. Protein kinase C as a molecular machine for decoding calcium and diacylglycerol signals
46. Inhibitors of protein kinase C prolong the falling phase of each free-calcium transient in a hormone-stimulated hepatocyte
47. Cross-talk between G-protein and protein kinase C modulation of N-type calcium channels is dependent on the G-protein b subunit isoform
48. 2+ release mechanisms: Multiple pathways having multiple functions within the same cell type?
49. Capacitative calcium entry
50. 2+ signalling requirements
51. 3)-gated Ca channels from cerebellum: Conduction properties for divalent cations, regulation by intraluminal calcium
52. Reversible desensitization of inositol trisphosphate-induced calcium release provides a mechanism for repetitive calcium spikes
53. 3 and calcium: Simulation of single channel kinetics based on ligand binding and electrophysiological analysis
54. Minimal requirements for calcium oscillations driven by the IP3 receptor
55. A role for calcium release-activated current (CRAC) in cholinergic modulation of electrical activity in pancreatic β-cells
56. Membrane potential changes in activated cells: Connection with cytosolic calcium oscillator
57. Effects of extracellular calcium on electrical bursting and intracellular and luminal calcium oscillations in insulin secreting pancreatic β-cells
58. 2+ oscillations in various kinds of cell on a theoretical level
59. Spontaneous calcium oscillations in embryonic stem cell-derived primitive endodermal cells
60. Extracellular calcium concentration controls the frequency of intracellular calcium spiking independently of inositol 1,4,5-trisphosphate production in HeLa cells
61. Serotonin-induced inter-cellular calcium waves in salivary glands of the blowfly Calliphora erythrocephala
62. 2+
63. Characterization of cytosolic calcium oscillations induced by phenylephrine and vasopressin in single fura-2-loaded hepatocytes
64. 2+-mobilizing purinoreceptors on rat hepatocytes
65. 2+ pump by carboxyeosin or glucagon-(19-29)
66. Calcium oscillations in electrically non-excitable cells
67. 2+ oscillations
68. Mitochondria as an important factor in the maintenance of constant amplitudes of cytosolic calcium oscillations
69. Switching from simple to complex oscillations in calcium signaling
70. 1-receptor stimulation regulate amplitude and frequenecy of calcium transients
71. 2+ response amplitude and duration
72. Coding effiency and information rates in transmembrane signaling
73. Appearance of phase-locked Wenckebach-like rhythms, devil's staircase and universality in intracellular calcium spikes in non-excitable cell models
74. Activation of calcium oscillations by thapsigargin in parotid acinar cells
75. Increased frequency of calcium waves in Xenopus laevis oocytes that express a calcium ATPase
76. Acceleration of intracellular calcium waves in Xenopus oocytes by calcium influx
77. 2+ release
78. 2+ oscillation in a sympathetic neurone
79. Allosteric regulation, cooperativity, and biochemical oscillations
80. Model of intercellular calcium oscillations in hepatocytes: Synchronization of heterogeneous cells
81. i oscillations in sympathetic neurons: An experimental test of a theoretical model
82. 2+ oscillations
83. Calcium channels, stores and oscillations
84. Capacitive calcium entry revisited
85. i oscillations derived from a detailed kinetic model: A Hodgkin-Huxley like formalism
86. 2+-binding sites along the permeation pathway
87. Bifurcation analysis of calcium oscillations: Time-scale separation, canards, and frequency lowering
88. 2+ channel: An allosteric model
89. 2+
90. Agonist-dependent phosphorylation of the inositol 1,4,5-trisphosphate receptor: A possible mechanism for agonist-specific calcium oscillations in pancreatic acinar cells
91. 3- and calcium-gated channels from endoplasmic reticulum of cerebellum
92. Calcium as a coagonist of inositol 1,4,5-trisphosphate-induced calcium release
93. Mechanism of intracellular calcium transients
94. Model of intracellular calcium oscillations activated by inositol trisphosphate
95. A single-pool model for intracellular calcium oscillations and waves in the Xenopus laevis oocyte
96. A quantitative description of the membrane current and its application to conduction and excitation in nerve
97. 2+ oscillations
98. 3-sensitive Calcium channel kinetics
99. 2+ oscillations
100. 2+ oscillations
101. 2+ waves
102. Agonist-induced calcium waves in oscillatory cells: A biological example of Burgers' equation
103. 2+ diffusion: A theoretical study
104. Validity of the rapid buffering approximation near a point source of calcium ions
105. 2+] at the mouth of a calcium channel
106. A membrane model for cytosolic calcium oscillations. A study using Xenopus oocytes
107. A membrane potential model with counterionsforcytosoliccalciumoscillations
108. Modelling the interrelations between calcium oscillations and ER membrane potential oscillations
109. 2+ sequestering ER subcompartments
110. Complex calcium oscillations and the role of mitochondria and cytosolic proteins
111. Molecular tuning of ion binding to calcium signaling proteins
112. Intrinsic cytosolic calcium buffering properties of single rat cardiac myocytes
113. 2+-binding proteins
114. Extracellular calcium-binding proteins
115. Influence of calcium binding to proteins on calcium oscillations and ER membrane potential oscillations. A mathematical model
116. 2+ mobilization?
117. The mechanism of voltage-sensitive dye responses on sarcoplasmic reticulum
118. 2+] gradient across endoplasmic reticulum membranes by a null-point method
119. Pulsatile intracellular calcium release does not depend on fluctuations in inositol trisphosphate concentration
120. 2+ oscillations
121. 2+ oscillations
122. 2+ mobilization patterns
123. Intracellular control of inositol phosphates by their metabolizing enzymes
124. Receptor-specific messenger oscillations
125. Computer simulation of a cytosolic calcium oscillator
126. 2+ oscillations
127. Noise enhanced hormonal signal transduction through intracellular calcium oscillations
128. Purified inositol 1,4,5-trisphosphate receptor mediates calcium flux in reconstituted lipid vesicles
129. Oscillations waves in a model of calcium dynamics
130. 2+-binding sites along the permeation pathway
131. Traveling waves of calcium in pancreatic acinar cells: Model construction and bifurcation analysis
132. 3 receptor channel stays open in the presence of increased calcium
133. 3 receptor subtypes
134. The effect of calcium on the respiratory and phosphorylative activities of heart-muscle sarcosomes
135. 2+ uptake by rat kidney mitochondria and its dependence on respiration and phosphorylation
136. Intracellular calcium homeostasis
137. Mechanisms by which mitochondria transport calcium
138. Molecular and cellular physiology of intracellular calcium stores
139. The permeability transition pore as a mitochondrial calcium release channel: A critical appraisal
140. Involvement of mitochondria in intracellular calcium sequestration by rat gonadotropes
141. 2+ network
142. Synchronization of calcium waves by mitochondrial substrates in Xenopus laevis oocytes
143. Mitochondria as biosensors of calcium microdomains
144. 2+ release - An intimate connection
145. Calcium and hormone action
146. 2+ regulation in neuronal and glia cell signalling
147. 2+ responses in rat oligodendrocyte progenitors
148. 2+ responses
149. 2+] in rat pulmonary artery smooth muscle cells
150. 2+ signaling
151. Mitochondrial calcium spiking: A transduction mechanism based on calcium-induced permeability transition involved in cell calcium signalling
152. Mitochondria are excitable organelles capable of generating and conveying electrical and calcium signals
153. Modulation of cell calcium signals by mitochondria
154. Electrical bursting and luminal calcium oscillation in excitable cell models
155. 2+ oscillations and spikes generated by mitochondria
156. Birhythmicity, trirhythmicity and chaos in bursting calcium oscillations
157. 2+ handling
158. Model of b-cell mitochondrial calcium handling and electrical activity. I. Cytoplasmic variables
159. Model of b-cell mitochondrial calcium handling and electrical activity. II. Mitochondrial variables
160. Mitochondrial participation in the modulation of calcium transients in DRG neurons
161. 2+ in perfused liver is independent of the permeability transition pore
162. On repetitive activity in nerve
163. Singular Hopf bifurcation to relaxation oscillations
164. The potassium A-current, low firing rates and rebound excitation in Hodgkin-Huxley models
165. Calcium wave propagation by calcium-induced calcium release: An unusual excitable system
166. Channel sharing in pancreatic β-cells revisited: Enhancement of emergent bursting by noise
167. Frequency encoding in excitable systems with applications to calcium oscillations
168. 2+ spike frequency can optimize gene expression
169. The AM and FM of calcium signalling
170. Neural codes: Firing rates and beyond
171. + current in rat gonadotropes
172. 2+ oscillations
173. Calcium signalling: Up, down, up, down1/4 what's the point?
174. Protein phosphorylation driven by intracellular calcium oscillations: A kinetic analysis
175. An amplified sensitivity arising from covalent modification in biological systems
176. Quantification of information transfer via cellular signal transduction pathways
177. 2+ oscillations: A theoretical study
178. Decoding of intracellular calcium spike trains
179. 2+ reponses of hepatocytes to ATP, but not to ADP
180. Complex intracellular calcium oscillations. A theoretical exploration of possible mechanisms
181. Multiple bifurcations in a polynomial model of bursting oscillations
182. From simple to complex oscillatory behavior in metabolic and genetic control networks
183. 2+ oscillations in a new model for non-excitable cells
184. Subcellular organization of calcium signaling in hepatocytes and the intact liver
185. 2+ signals in multicellular systems of rat hepatocytes
186. Coordination of hormone-induced calcium signals in isolated rat hepatocyte couplets; demonstration with confocal microscopy
187. 2+ waves in the intact liver
188. Coordination of calcium signalling by endothelial-derived nitric oxide in the intact liver
189. Coordinated intercellular calcium waves induced by noradrenaline in rat hepatocytes: Dual control by gap junction permeability and agonist
190. Mechanism of receptor-oriented intercellular calcium wave propagation in hepatocytes
191. Receptor-oriented intercellular calcium waves evoked by vasopressin in rat hepatocytes
192. Intercellular calcium waves in rat-pancreatic acini: Mechanism of transmission
193. Gap junctions mediate intercellular calcium signalling in cultured articular chondrocytes
194. 2+ waves in mechanically stimulated articular chondrocytes
195. 2+ oscillations induced in Madin Darby canine kidney cells by bradykinin and thrombin but not by ATP
196. Intercellular calcium waves mediated by inositol trisphosphate
197. Intercellular calcium waves in glia
198. Intercellular calcium signaling and gap junctional communication in astrocytes
199. Intercellular calcium signaling via gap junctions in glioma cells
200. Control of gap-junctional communication in astrocytic networks
201. Spatial and temporal aspects of cellular calcium signaling
202. Intercellular calcium signaling via gap junction in connexin-43-transfected cells
203. An extracellular signaling component in propagation of astrocytic calcium waves
204. Isolated rat hepatocytes can signal to other hepatocytes and bile duct cells by release of nucleotides
205. Gap junctional communication coordinates vasopressin-induced glycogenolysis in rat hepatocytes
206. Range of messenger action of calcium ion and inositol 1,4,5-trisphosphate
207. Intracellular calcium waves
208. 2+ waves in single cardiac cells: Role of the spatial heterogeneity created by the nucleus
209. Hepatocyte gap junctions are permeable to the second messenger, inositol 1,4,5-trisphosphate, and to calcium ions
210. 2+ in cultured human corporal smooth muscle cells
211. Gap junctional conductance and permeability are linearly related
212. Quantitative determination of gap junctional permeability in the lens cortex
213. Determining ionic permeabilities of gap junction channels
214. 2+ signals between connected hepatocytes
215. Intercellular spiral waves of calcium
216. Calcium oscillations increase the effeciency and specificity of gene expression
217. Hydrogen peroxide inhibits gap junctional coupling and modulates intracellular free calcium in cochlear Hensen cells
218. Frequency encoded biochemical regulation is more accurate than amplitude dependent control
219. Electromagnetic field absorption in stochastic cellular systems - Enhanced signal detection in ion channels and calcium oscillators
220. Cardiac chaos: Implications for congestive heart failure
221. Decrease of cardiac chaos in congestive heart failure
222. Chaos and heart rate variability
223. Hierarchical organization of calcium signals in hepatocytes: From experiments to models
224. Phosphoinositide kinases
225. The calcium store in the nuclear envelope
226. Kinetic and thermodynamic analyses of the reversible version of the smallest chemical reaction system with Hopf bifurcation
227. Metabolic control theory: A structural approach
228. Detection of elementary flux modes in biochemical networks: A promising tool for pathway analysis and metabolic engineering
229. Control analysis of periodic phenomena in biological systems
230. Cellular information transfer regarded from a stoichiometry and control analysis perspective
231. Chaos or noise: Difficulties of a distinction
232. Analytical approach to the stochastic FitzHugh-Nagumo system and coherence resonance
233. The theory of oscillating reactions
234. De l'existence d'un cycle limite dans l'évolution des systèmes chimiques ouverts