 |
||||
|
||||
|
||||
|
||||
Previous Article | Next Article
Volume 17, Number 18, Issue of September 15, 1997 pp. 6961-6973
Copyright ©1997 Society for NeuroscienceLinearized Buffered Ca2+ Diffusion in Microdomains and Its Implications for Calculation of [Ca2+] at the Mouth of a Calcium Channel
Received March 25, 1997; revised June 26, 1997; accepted June 30, 1997.
Mohammad Naraghi and Erwin Neher Department of Membrane Biophysics, Max-Planck-Institute for Biophysical Chemistry, D-37070 Göttingen, Germany
Immobile and mobile calcium buffers shape the calcium signal close to a channel by reducing and localizing the transient calcium increase to physiological compartments. In this paper, we focus on the impact of mobile buffers in shaping steady-state calcium gradients in the vicinity of an open channel, i.e. within its "calcium microdomain." We present a linear approximation of the combined reaction-diffusion problem, which can be solved explicitly and accounts for an arbitrary number of calcium buffers, either endogenous or added exogenously. It is valid for small saturation levels of the present buffers and shows that within a few hundred nanometers from the channel, standing calcium gradients develop in hundreds of microseconds after channel opening. It is shown that every buffer can be assigned a uniquely defined length-constant as a measure of its capability to buffer calcium close to the channel. The length-constant clarifies intuitively the significance of buffer binding and unbinding kinetics for understanding local calcium signals. Hence, we examine the parameters shaping these steady-state gradients. The model can be used to check the expected influence of single channel calcium microdomains on physiological processes such as excitation-secretion coupling or excitation-contraction coupling and to explore the differential effect of kinetic buffer parameters on the shape of these microdomains.
Key words: Ca2+ microdomains; Ca2+ diffusion; Ca2+ buffers; buffer kinetics; diffusion modeling; synaptic transmission
This article has been cited by other articles:
L.-Y. Wang, E. Neher, and H. Taschenberger
Synaptic Vesicles in Mature Calyx of Held Synapses Sense Higher Nanodomain Calcium Concentrations during Action Potential-Evoked Glutamate Release
J. Neurosci., December 31, 2008; 28(53): 14450 - 14458.
[Abstract] [Full Text] [PDF]
J. H. Wittig Jr and T. D. Parsons
Synaptic Ribbon Enables Temporal Precision of Hair Cell Afferent Synapse by Increasing the Number of Readily Releasable Vesicles: A Modeling Study
J Neurophysiol, October 1, 2008; 100(4): 1724 - 1739.
[Abstract] [Full Text] [PDF]
L. Royer, S. Pouvreau, and E. Rios
Evolution and modulation of intracellular calcium release during long-lasting, depleting depolarization in mouse muscle
J. Physiol., October 1, 2008; 586(19): 4609 - 4629.
[Abstract] [Full Text] [PDF]
L. Catacuzzeno, B. Fioretti, and F. Franciolini
Modeling Study of the Effects of Membrane Surface Charge on Calcium Microdomains and Neurotransmitter Release
Biophys. J., September 1, 2008; 95(5): 2160 - 2171.
[Abstract] [Full Text] [PDF]
S. L. Johnson, A. Forge, M. Knipper, S. Munkner, and W. Marcotti
Tonotopic Variation in the Calcium Dependence of Neurotransmitter Release and Vesicle Pool Replenishment at Mammalian Auditory Ribbon Synapses
J. Neurosci., July 23, 2008; 28(30): 7670 - 7678.
[Abstract] [Full Text] [PDF]
R. Bao, L. M. Lifshitz, R. A. Tuft, K. Bellve, K. E. Fogarty, and R. ZhuGe
A Close Association of RyRs with Highly Dense Clusters of Ca2+-activated Cl- Channels Underlies the Activation of STICs by Ca2+ Sparks in Mouse Airway Smooth Muscle
J. Gen. Physiol., July 1, 2008; 132(1): 145 - 160.
[Abstract] [Full Text] [PDF]
J. R. Groff and G. D. Smith
Ryanodine Receptor Allosteric Coupling and the Dynamics of Calcium Sparks
Biophys. J., July 1, 2008; 95(1): 135 - 154.
[Abstract] [Full Text] [PDF]
R. Xiao, J. Tang, C. Wang, C. K. Colton, J. Tian, and M. X. Zhu
Calcium Plays a Central Role in the Sensitization of TRPV3 Channel to Repetitive Stimulations
J. Biol. Chem., March 7, 2008; 283(10): 6162 - 6174.
[Abstract] [Full Text] [PDF]
S. L. Johnson and W. Marcotti
Biophysical properties of CaV1.3 calcium channels in gerbil inner hair cells
J. Physiol., February 15, 2008; 586(4): 1029 - 1042.
[Abstract] [Full Text] [PDF]
M. Teagarden, J. F. Atherton, M. D. Bevan, and C. J. Wilson
Accumulation of cytoplasmic calcium, but not apamin-sensitive afterhyperpolarization current, during high frequency firing in rat subthalamic nucleus cells
J. Physiol., February 1, 2008; 586(3): 817 - 833.
[Abstract] [Full Text] [PDF]
D. Willoughby and D. M. F. Cooper
Organization and Ca2+ Regulation of Adenylyl Cyclases in cAMP Microdomains
Physiol Rev, July 1, 2007; 87(3): 965 - 1010.
[Abstract] [Full Text] [PDF]
M. J. Fedchyshyn and L.-Y. Wang
Activity-dependent changes in temporal components of neurotransmission at the juvenile mouse calyx of Held synapse
J. Physiol., June 1, 2007; 581(2): 581 - 602.
[Abstract] [Full Text] [PDF]
K. Dunlap
Calcium Channels Are Models of Self-Control
J. Gen. Physiol., April 30, 2007; 129(5): 379 - 383.
[Full Text] [PDF]
J. K. Foskett, C. White, K.-H. Cheung, and D.-O. D. Mak
Inositol Trisphosphate Receptor Ca2+ Release Channels
Physiol Rev, April 1, 2007; 87(2): 593 - 658.
[Abstract] [Full Text] [PDF]
D. J. Loane, P. A. Lima, and N. V. Marrion
Co-assembly of N-type Ca2+ and BK channels underlies functional coupling in rat brain
J. Cell Sci., March 15, 2007; 120(6): 985 - 995.
[Abstract] [Full Text] [PDF]
A. Y. Hung and N. S. Magoski
Activity-Dependent Initiation of a Prolonged Depolarization in Aplysia Bag Cell Neurons: Role for a Cation Channel
J Neurophysiol, March 1, 2007; 97(3): 2465 - 2479.
[Abstract] [Full Text] [PDF]
A. Muller, M. Kukley, M. Uebachs, H. Beck, and D. Dietrich
Nanodomains of Single Ca2+ Channels Contribute to Action Potential Repolarization in Cortical Neurons
J. Neurosci., January 17, 2007; 27(3): 483 - 495.
[Abstract] [Full Text] [PDF]
S. McDavid and K. P. M. Currie
G-Proteins Modulate Cumulative Inactivation of N-Type (CaV2.2) Calcium Channels
J. Neurosci., December 20, 2006; 26(51): 13373 - 13383.
[Abstract] [Full Text] [PDF]
G. B. Montalvo, A. R. Artalejo, and J. A. Gilabert
ATP from Subplasmalemmal Mitochondria Controls Ca2+-dependent Inactivation of CRAC Channels
J. Biol. Chem., November 24, 2006; 281(47): 35616 - 35623.
[Abstract] [Full Text] [PDF]
J. Guo and H. J. Duff
Calmodulin kinase II accelerates L-type Ca2+ current recovery from inactivation and compensates for the direct inhibitory effect of [Ca2+]i in rat ventricular myocytes
J. Physiol., July 15, 2006; 574(2): 509 - 518.
[Abstract] [Full Text] [PDF]
V. M. Shkryl and N. Shirokova
Transfer and Tunneling of Ca2+ from Sarcoplasmic Reticulum to Mitochondria in Skeletal Muscle
J. Biol. Chem., January 20, 2006; 281(3): 1547 - 1554.
[Abstract] [Full Text] [PDF]
R. Rizzuto and T. Pozzan
Microdomains of Intracellular Ca2+: Molecular Determinants and Functional Consequences
Physiol Rev, January 1, 2006; 86(1): 369 - 408.
[Abstract] [Full Text] [PDF]
A. Ivanov, V. Gerzanich, S. Ivanova, R. DenHaese, O. Tsymbalyuk, and J. M. Simard
Adenylate cyclase 5 and KCa1.1 channel are required for EGFR up-regulation of PCNA in native contractile rat basilar artery smooth muscle
J. Physiol., January 1, 2006; 570(1): 73 - 84.
[Abstract] [Full Text] [PDF]
J. A. Goldberg and C. J. Wilson
Control of Spontaneous Firing Patterns by the Selective Coupling of Calcium Currents to Calcium-Activated Potassium Currents in Striatal Cholinergic Interneurons
J. Neurosci., November 2, 2005; 25(44): 10230 - 10238.
[Abstract] [Full Text] [PDF]
A. Y Estevez and K. Strange
Calcium feedback mechanisms regulate oscillatory activity of a TRP-like Ca2+ conductance in C. elegans intestinal cells
J. Physiol., August 15, 2005; 567(1): 239 - 251.
[Abstract] [Full Text] [PDF]
V. Beaumont, A. Llobet, and L. Lagnado
Expansion of calcium microdomains regulates fast exocytosis at a ribbon synapse
PNAS, July 26, 2005; 102(30): 10700 - 10705.
[Abstract] [Full Text] [PDF]
M. J. Fedchyshyn and L.-Y. Wang
Developmental Transformation of the Release Modality at the Calyx of Held Synapse
J. Neurosci., April 20, 2005; 25(16): 4131 - 4140.
[Abstract] [Full Text] [PDF]
A. Muller, M. Kukley, P. Stausberg, H. Beck, W. Muller, and D. Dietrich
Endogenous Ca2+ Buffer Concentration and Ca2+ Microdomains in Hippocampal Neurons
J. Neurosci., January 19, 2005; 25(3): 558 - 565.
[Abstract] [Full Text] [PDF]
A. A. Gerencser and V. Adam-Vizi
Mitochondrial Ca2+ Dynamics Reveals Limited Intramitochondrial Ca2+ Diffusion
Biophys. J., January 1, 2005; 88(1): 698 - 714.
[Abstract] [Full Text] [PDF]
W. Marcotti, S. L Johnson, and C. J Kros
A transiently expressed SK current sustains and modulates action potential activity in immature mouse inner hair cells
J. Physiol., November 1, 2004; 560(3): 691 - 708.
[Abstract] [Full Text] [PDF]
V. Shahrezaei and K. R. Delaney
Consequences of Molecular-Level Ca2+ Channel and Synaptic Vesicle Colocalization for the Ca2+ Microdomain and Neurotransmitter Exocytosis: A Monte Carlo Study
Biophys. J., October 1, 2004; 87(4): 2352 - 2364.
[Abstract] [Full Text] [PDF]
Z.-Y. Zhuang, H. Xu, D. E. Clapham, and R.-R. Ji
Phosphatidylinositol 3-Kinase Activates ERK in Primary Sensory Neurons and Mediates Inflammatory Heat Hyperalgesia through TRPV1 Sensitization
J. Neurosci., September 22, 2004; 24(38): 8300 - 8309.
[Abstract] [Full Text] [PDF]
D. Chaudhuri, S.-Y. Chang, C. D. DeMaria, R. S. Alvania, T. W. Soong, and D. T. Yue
Alternative Splicing as a Molecular Switch for Ca2+/Calmodulin-Dependent Facilitation of P/Q-Type Ca2+ Channels
J. Neurosci., July 14, 2004; 24(28): 6334 - 6342.
[Abstract] [Full Text] [PDF]
C. Kushmerick, G. D. Price, H. Taschenberger, N. Puente, R. Renden, J. I. Wadiche, R. M. Duvoisin, P. Grandes, and H. von Gersdorff
Retroinhibition of Presynaptic Ca2+ Currents by Endocannabinoids Released via Postsynaptic mGluR Activation at a Calyx Synapse
J. Neurosci., June 30, 2004; 24(26): 5955 - 5965.
[Abstract] [Full Text] [PDF]
W. Marcotti, S. L. Johnson, and C. J. Kros
Effects of intracellular stores and extracellular Ca2+ on Ca2+-activated K+ currents in mature mouse inner hair cells
J. Physiol., June 1, 2004; 557(2): 613 - 633.
[Abstract] [Full Text] [PDF]
V. Matveev, R. S. Zucker, and A. Sherman
Facilitation through Buffer Saturation: Constraints on Endogenous Buffering Properties
Biophys. J., May 1, 2004; 86(5): 2691 - 2709.
[Abstract] [Full Text] [PDF]
B. Rosati and D. McKinnon
Regulation of Ion Channel Expression
Circ. Res., April 16, 2004; 94(7): 874 - 883.
[Abstract] [Full Text] [PDF]
W. H. duBell and T. B. Rogers
Protein phosphatase 1 and an opposing protein kinase regulate steady-state L-type Ca2+ current in mouse cardiac myocytes
J. Physiol., April 1, 2004; 556(1): 79 - 93.
[Abstract] [Full Text] [PDF]
K. M. M. Kaiser, J. Lubke, Y. Zilberter, and B. Sakmann
Postsynaptic Calcium Influx at Single Synaptic Contacts between Pyramidal Neurons and Bitufted Interneurons in Layer 2/3 of Rat Neocortex Is Enhanced by Backpropagating Action Potentials
J. Neurosci., February 11, 2004; 24(6): 1319 - 1329.
[Abstract] [Full Text] [PDF]
V. De Crescenzo, R. ZhuGe, C. Velazquez-Marrero, L. M. Lifshitz, E. Custer, J. Carmichael, F. A. Lai, R. A. Tuft, K. E. Fogarty, J. R. Lemos, et al.
Ca2+ Syntillas, Miniature Ca2+ Release Events in Terminals of Hypothalamic Neurons, Are Increased in Frequency by Depolarization in the Absence of Ca2+ Influx
J. Neurosci., February 4, 2004; 24(5): 1226 - 1235.
[Abstract] [Full Text] [PDF]
J. M. McHugh and J. L. Kenyon
An Excel-based model of Ca2+ diffusion and fura 2 measurements in a spherical cell
Am J Physiol Cell Physiol, February 1, 2004; 286(2): C342 - C348.
[Abstract] [Full Text]
D. E. Strier, A. C. Ventura, and S. P. Dawson
Saltatory and Continuous Calcium Waves and the Rapid Buffering Approximation
Biophys. J., December 1, 2003; 85(6): 3575 - 3586.
[Abstract] [Full Text] [PDF]
J. Reisert, P. J. Bauer, K.-W. Yau, and S. Frings
The Ca-activated Cl Channel and its Control in Rat Olfactory Receptor Neurons
J. Gen. Physiol., August 25, 2003; 122(3): 349 - 364.
[Abstract] [Full Text] [PDF]
D. Novo, M. DiFranco, and J. L. Vergara
Comparison between the Predictions of Diffusion-Reaction Models and Localized Ca2+ Transients in Amphibian Skeletal Muscle Fibers
Biophys. J., August 1, 2003; 85(2): 1080 - 1097.
[Abstract] [Full Text] [PDF]
F. Brette, A. Lacampagne, L. Salle, I. Findlay, and J.-Y. Le Guennec
Intracellular Cs+ activates the PKA pathway, revealing a fast, reversible, Ca2+-dependent inactivation of L-type Ca2+ current
Am J Physiol Cell Physiol, August 1, 2003; 285(2): C310 - C318.
[Abstract] [Full Text] [PDF]
P. Tosetti, N. Pathak, M. H. Jacob, and K. Dunlap
RGS3 mediates a calcium-dependent termination of G protein signaling in sensory neurons
PNAS, June 10, 2003; 100(12): 7337 - 7342.
[Abstract] [Full Text] [PDF]
C. M. Hackney, S. Mahendrasingam, E. M. C. Jones, and R. Fettiplace
The Distribution of Calcium Buffering Proteins in the Turtle Cochlea
J. Neurosci., June 1, 2003; 23(11): 4577 - 4589.
[Abstract] [Full Text] [PDF]
H. Schmidt, E. B. Brown, B. Schwaller, and J. Eilers
Diffusional Mobility of Parvalbumin in Spiny Dendrites of Cerebellar Purkinje Neurons Quantified by Fluorescence Recovery after Photobleaching
Biophys. J., April 1, 2003; 84(4): 2599 - 2608.
[Abstract] [Full Text] [PDF]
I. Baran
Integrated Luminal and Cytosolic Aspects of the Calcium Release Control
Biophys. J., March 1, 2003; 84(3): 1470 - 1485.
[Abstract] [Full Text] [PDF]
J. Trommershauser, R. Schneggenburger, A. Zippelius, and E. Neher
Heterogeneous Presynaptic Release Probabilities: Functional Relevance for Short-Term Plasticity
Biophys. J., March 1, 2003; 84(3): 1563 - 1579.
[Abstract] [Full Text] [PDF]
R. Dolmetsch
Excitation-Transcription Coupling: Signaling by Ion Channels to the Nucleus
Sci. Signal., January 21, 2003; 2003(166): pe4 - pe4.
[Abstract] [Full Text] [PDF]
M. Falcke
Buffers and Oscillations in Intracellular Ca2+ Dynamics
Biophys. J., January 1, 2003; 84(1): 28 - 41.
[Abstract] [Full Text] [PDF]
K. Fujimoto, T. Shibasaki, N. Yokoi, Y. Kashima, M. Matsumoto, T. Sasaki, N. Tajima, T. Iwanaga, and S. Seino
Piccolo, a Ca2+ Sensor in Pancreatic beta -Cells. INVOLVEMENT OF cAMP-GEFII{middle dot}Rim2{middle dot}PICCOLO COMPLEX IN cAMP-DEPENDENT EXOCYTOSIS
J. Biol. Chem., December 20, 2002; 277(52): 50497 - 50502.
[Abstract] [Full Text] [PDF]
R. ZhuGe, K. E. Fogarty, R. A. Tuft, and J. V. Walsh Jr
Spontaneous Transient Outward Currents Arise from Microdomains Where BK Channels Are Exposed to a Mean Ca2+ Concentration on the Order of 10 {micro}M during a Ca2+ Spark
J. Gen. Physiol., June 10, 2002; 120(1): 15 - 28.
[Abstract] [Full Text] [PDF]
S. Suzuki, M. Osanai, N. Mitsumoto, T. Akita, K. Narita, H. Kijima, and K. Kuba
Ca2+-Dependent Ca2+ Clearance Via Mitochondrial Uptake and Plasmalemmal Extrusion in Frog Motor Nerve Terminals
J Neurophysiol, April 1, 2002; 87(4): 1816 - 1823.
[Abstract] [Full Text] [PDF]
C. J. Meinrenken, J. G. G. Borst, and B. Sakmann
Calcium Secretion Coupling at Calyx of Held Governed by Nonuniform Channel-Vesicle Topography
J. Neurosci., March 1, 2002; 22(5): 1648 - 1667.
[Abstract] [Full Text] [PDF]
L. L. Haak, L.-S. Song, T. F. Molinski, I. N. Pessah, H. Cheng, and J. T. Russell
Sparks and Puffs in Oligodendrocyte Progenitors: Cross Talk between Ryanodine Receptors and Inositol Trisphosphate Receptors
J. Neurosci., June 1, 2001; 21(11): 3860 - 3870.
[Abstract] [Full Text] [PDF]
M. Umemiya, N. Chen, L. A. Raymond, and T. H. Murphy
A Calcium-Dependent Feedback Mechanism Participates in Shaping Single NMDA Miniature EPSCs
J. Neurosci., January 1, 2001; 21(1): 1 - 9.
[Abstract] [Full Text] [PDF]
M. Prakriya and C. J. Lingle
Activation of BK Channels in Rat Chromaffin Cells Requires Summation of Ca2+ Influx From Multiple Ca2+ Channels
J Neurophysiol, September 1, 2000; 84(3): 1123 - 1135.
[Abstract] [Full Text] [PDF]
