Modeling of slow glutamate diffusion and AMPA receptor activation in the cerebellar glomerulus

Journal of Theoretical Biology

Volumn 234, Issue 3, 2005, Pages 363-382

  Saftenku, E E ^a  

^a BOGOMOLETZ INSTITUTE OF PHYSIOLOGY   (Ukraine)

Author keywords

Cerebellar granule cells; Fractional Brownian motion; Glomerulus; Glutamate diffusion; Spillover

Indexed keywords

AMPA RECEPTOR; GLUTAMIC ACID;

BROWNIAN MOTION; GEOMETRY;

ARTICLE; CEREBELLUM; DIFFUSION COEFFICIENT; EXCITATORY POSTSYNAPTIC POTENTIAL; GEOMETRY; GLIA; GRANULE CELL; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; MOSSY FIBER; POROSITY; PRIORITY JOURNAL; PROTEIN EXPRESSION; SYNAPSE;

GLOMERULUS;

EID: 15244346246     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jtbi.2004.11.036     Document Type: Article

References (60)

1. S. Armano, P. Rossi, V. Taglietti, and E. D'Angelo Long-term potentiation of intrinsic excitability at the mossy fiber-granule cell synapse of rat cerebellum J. Neurosci. 20 2000 5208 5216
2. B. Barbour An evaluation of synapse independence J. Neurosci. 20 2001 7969 7984
3. B. Barbour, B.U. Keller, I. Llano, and A. Marty Prolonged presence of glutamate during excitatory synaptic transmission to cerebellar Purkinje cells Neuron 12 1994 1331 1343
4. M.C. Bellingham, and B. Walmsley A novel presynaptic inhibitory mechanism underlies paired pulse depression at a fast central synapse Neuron 23 1999 159 170
5. P.M. Burger, E. Mehl, P.L. Cameron, P.R. Maycox, M. Baumert, F. Lottspeich, P. De Camilli, and R. Jahn Synaptic vesicles immunoisolated from rat cerebral cortex contain high levels of glutamate Neuron 3 1989 715 720
6. A. Caspi, R. Granek, and M. Elbaum Enhanced diffusion in active intracellular transport Phys. Rev. Lett. 85 2000 5655 5658
7. L. Cathala, S. Brickley, S. Cull-Candy, and M. Farrant Maturation of EPSCs and intrinsic membrane properties enhances precision at a cerebellar synapse J. Neurosci. 23 2003 6074 6085
8. J.S. Diamond, and C.E. Jahr Transporters buffer synaptically released glutamate on a submillisecond time scale J. Neurosci. 17 1997 4672 4687
9. D.A. DiGregorio, Z. Nusser, and R.A. Silver Spillover of glutamate onto synaptic AMPA receptors enhances fast transmission at a cerebellar synapse Neuron 35 2002 521 533
10. D.M. Egelman, and P.R. Montague Calcium dynamics in the extracellular space of mammalian neural tissue Biophys. J. 76 1999 1858 1867
11. R.J. Ellis Macromolecular crowding obvious but underappreciated TIBS 26 2001 597 604
12. K.M. Franks, T.M. Bartol Jr., and T.J. Sejnowski A Monte Carlo model reveals independent signaling at central glutamatergic synapses Biophys. J. 83 2002 2333 2348
13. E. Hanse, and B. Gustafsson Paired-pulse plasticity at the single release site level an experimental and computational study J. Neurosci. 21 2001 8362 8369
14. M. Häusser, and A. Roth Dendritic and somatic glutamate receptor channels in rat cerebellar Purkinje cells J. Physiol. (Lond.) 501 1997 77 95
15. B. Hille Ionic Channels of Excitable Membranes 1992 Sinauer Sunderland
16. R.L. Jakab, and J. Hamori Quantitative morphology and synaptology of cerebellar glomeruli in the rat Anat. Embryol. (Berl.) 179 1988 81 88
17. P. Jonas, G. Major, and B. Sakmann Quantal components of unitary EPSCs at the mossy fibre synapse on CA3 pyramidal cells of the rat hippocampus J. Physiol. (Lond.) 472 1993 615 663
18. J. Kleinle, K. Voght, H.R. Luescher, L. Mueller, W. Senn, K. Wyler, and J. Streit Transmitter concentration profiles in the synaptic cleft. Analytical model of release and diffusion Byophys. J. 71 1996 2413 2426
19. H. Korn, C. Sur, S. Charpier, P. Legendre, and D.S. Faber The one-vesicle hypothesis and multivesicular release L. Stjärke P. Greengard S. Grillner T. Hökfelt D. Ottison Molecular and Cellular Mechanisms of Neurotransmitter Release 1994 Raven New York 301 322
20. D.M. Landis, L.A. Weinstein, and J.J. Halperin Development of synaptic junctions in cerebellar glomeruli Brain Res. 284 1983 231 245
21. P. Longone, F. Impagnatiello, J.M. Mienville, E. Costa, and A. Guidotti Changes in AMPA receptor-spliced variant expression and shift in AMPA receptor spontaneous desensitization pharmacology during cerebellar granule cell maturation in vitro J. Mol. Neurosci. 11 1998 23 41
22. L. Longsworth Diffusion measurements, at 25°,of aqueous solutions of amino acids, peptides and sugars J. Am. Chem. Soc. 75 1953 5705 5709
23. E. Lutz Fractional Langevin equation Phys. Rev. E 64 2001 051106
24. B. Mandelbrot The Fractal Geometry of Nature 1992 Freeman San Francisco
25. J. Marienhagen, B.U. Keller, and A. Zippelius Kinetic model of excitatory synaptic transmission to cerebellar Purkinje cells J. Theor. Biol. 188 1997 227 240
26. J. Mathews, and R.L. Walker Mathematical Methods of Physics second ed 1964 W.A. Benjamin INC New-York-Amsterdam
27. V. Matveev, and X.J. Wang Implication of all-or-none synaptic transmission and short-term depression beyond vesicle depletion a computational study J. Neurocsi. 20 2000 1575 1588
28. R. Metzler, and J. Klafter The restaurant at the end of random walk recent developments in the description of anomalous transport by fractional dynamics J. Phys. A Math. Gen. 37 2004 R1 R47
29. S.J. Mitchell, and R.A. Silver Glutamate spillover suppresses inhibition by activating presynaptic mGluRs Nature 404 2000 498 502
30. J. Mosbacher, R. Schoepfer, H. Monyer, N. Burnashev, P.H. Seeburg, and J.P. Ruppersberg A molecular determinant for submillisecond desensitization in glutamate receptors Science 266 1994 1059 1062
31. E. Neher, and T. Sakaba Combining deconvolution and noise analysis for the estimation of transmitter release rates at the calyx of Held J. Neurosci. 21 2001 444 461
32. C. Nicholson, and E. Sykova Extracellular space structure revealed by diffusion analysis Trends Neurosci. 21 1998 207 215
33. T.A. Nielsen, D.A. DiGregorio, and R.A. Silver Modulation of glutamate mobility reveals the mechanism underlying slow-rising AMPAR EPSCs and the diffusion coefficient in the synaptic cleft Neuron 42 2004 757 771
34. T.S. Otis, Y.C. Wu, and L.O. Trussell Delayed clearance of transmitter and the role of glutamate transporters at synapses with multiple release sites J. Neurosci. 16 1996 1634 1644
35. L.S. Overstreet, G.A. Kinney, Y.B. Liu, D. Billups, and N.T. Slater Glutamate transporters contribute to the time course of synaptic transmission in cerebellar granule cells J. Neurosci. 19 1999 9663 9673
36. S.L. Palay, and V. Chan-Palay Cerebellar Cortex Cytology and Organization 1974 Springer-Verlag New York
37. I.T. Pedron, R.S. Mendes, L.C. Malacarne, and E.K. Lenzi Nonlinear anomalous diffusion equation and fractal dimension exact generalized Gaussian solution Phys. Rev. E 65 2002 041108
38. R.S. Petralia, Y.X. Wang, and R.J. Wenthold NMDA receptors and PSD-95 are found in attachment plaques in cerebellar granular layer glomeruli Eur. J. Neurocsi. 15 2002 583 587
39. W.H. Press, B.P. Flannery, S.A. Teukolski, and W.T. Veterling Numerical Recipes in Pascal second ed 1992 Cambridge University Press Cambridge
40. F. Qin, A. Auerbach, and F. Sachs Estimating single-channel kinetics parameters from idealized patch-clamp data containing missed events Biophys. J. 70 1996 264 280
41. I.M. Raman, and L.O. Trussell The mechanisms of alpha-amino-3-hydroxy-5- methyl-4-isoxazolepropionate receptor desensitization after removal of glutamate Biophys. J. 68 1995 137 146
42. N. Riveros, J. Fiedler, N. Lagos, C. Munoz, and F. Orrego Glutamate in rat brain cortex synaptic vesicles influence of the vesicle isolation procedure Brain Res. 386 1986 405 408
43. O. Rose, C. Grund, S. Reinhardt, A. Sturzinski-Powitz, and W.W. Franke Contactus adherens, a special type of plaque-bearing adhering junction containing M-cadherin, in the granule cell layer of the cerebellar glomerulus Proc. Natl Acad. Sci. USA 92 1995 6022 6026
44. P. Rossi, E. Sola, V. Taglietti, Th. Borchardt, F. Steigerwald, J.K. Utvik, O.P. Ottersen, G. Köhr, and E. D'Angelo NMDA receptor 2 (NR2) C-terminal control of NR open probability regulates synaptic transmission and plasticity at a cerebellar synapse J. Neurosci. 22 2002 9687 9697
45. 2+ depletion Biophys. J. 81 2001 1947 1959
46. D.A. Rusakov, and D.M. Kullmann Geometric and viscosous components of the tortuosity of the extracellular space in the brain Proc. Natl Acad. Sci. USA 95 1998 8975 8980
47. D.A. Rusakov, and D.M. Kullmann Extrasynaptic glutamate diffusion in the hippocampus ultrastructural constraints, uptake and receptor activation J. Neurosci. 18 1998 3158 3170
48. Sargent, P.B., Nielsen, T., DiGregorio, D.A., Silver, R.A., 2003. Time course of uniquantal release at the cerebellar mossy fiber-granule cell synapse. The Society for Neuroscience Annual Meeting. Abstract.
49. M.J. Saxton Anomalous diffusion due to obstacles a Monte Carlo study Biophys. J. 66 1994 394 401
50. M.J. Saxton Anomalous diffusion due to binding a Monte Carlo study Biophys. J. 70 1996 1250 1262
51. R.A. Silver, D. Colquhoun, S.G. Cull-Candy, and B. Edmonds Deactivation and desensitization of non-NMDA receptors in patches and the time course of EPSCs in rat cerebellar granule cells J. Physiol. (Lond.) 493 1996 167 173
52. R.A. Silver, S.G. Cull-Candy, and T. Takahashi Non-NMDA glutamate receptor occupancy and open probability at a rat cerebellar synapse with single and multiple release sites J. Physiol. (Lond.) 494 1996 231 250
53. E. Sola, F. Prestori, P. Rossi, V. Taglietti, and E. D'Angelo Increased neurotransmitter release during long-term potentiation at mossy-fibre-granule cell synapses in rat cerebellum J. Physiol. (Lond.) 557 2004 843 861
54. J. Trommershauser, J. Marienhagen, and A. Zippelius Stochastic model of central synapses slow diffusion of transmitter interacting with spatially distributed receptors and transporters J. Theor. Biol. 198 1999 101 119
55. Tsodyks, M., Uziel, A., Markram, H., 2000. Synchrony generation in recurrent networks with frequency-dependent synapses. J. Neurosci. 20, RC50: 1-5.
56. J.I. Wadiche, and C.E. Jahr Multivesicular release at climbing fiber-Purkinje cell synapses Neuron. 32 2001 301 313
57. R.F. Waldeck, A. Pereda, and D.S. Faber Properties and plasticity of paired-pulse depression at a central synapse J. Neurosci. 20 2000 5312 5320
58. M.J. Wall, A. Robert, J.R. Howe, and M.M. Usowicz The speeding of EPSC kinetics during maturation of a central synapse Eur. J. Neurosci. 15 2002 785 797
59. X.L. Wu, and A. Libchaber Particle diffusion in a quasi-two-dimensional bacterial bath Phys. Rev. Lett. 84 2000 3017 3022
60. M. Xu-Friedman, and W.G. Regehr Ultrastructural contributions to desensitization at cerebellar mossy fiber to granule cell synapses J. Neurosci. 23 2003 2182 2192