Modeling of quantal neurotransmitter release kinetics in the presence of fixed and mobile calcium buffers

Journal of Computational Neuroscience

Volumn 25, Issue 2, 2008, Pages 296-307

  Gilmanov, Iskander R ^a   Samigullin, Dmitry V ^a   Vyskočil, František ^b,c   Nikolsky, Eugeny E ^a,d   Bukharaeva, Ellya A ^a,d  

^a KAZAN INSTITUTE OF BIOCHEMISTRY AND BIOPHYSICS   (Russian Federation)

^b CHARLES UNIVERSITY   (Czech Republic)

^c INSTITUTE OF PHYSIOLOGY   (Czech Republic)

^d KAZAN STATE MEDICAL UNIVERSITY   (Russian Federation)

Author keywords

Calcium buffers; Mathematical modeling; Neuromuscular junction; Time course of secretion

Indexed keywords

KINETICS; MAMMALS; NEUROPHYSIOLOGY;

ACTIVE ZONE; CALCIUM BUFFER; CALCIUM CONCENTRATION; CALCIUM INFLUX; MATHEMATICAL MODELING; NEUROMUSCULAR JUNCTIONS; NEUROTRANSMITTER RELEASE; RELEASE KINETICS; TIME COURSE; TIME COURSE OF SECRETION;

CALCIUM;

BUFFER; CALCIUM ION;

AMPLITUDE MODULATION; ARTICLE; CALCIUM CURRENT; CALCIUM TRANSPORT; COMPLEX FORMATION; COMPUTER MODEL; CONCENTRATION RESPONSE; CONTROLLED STUDY; CORRELATION ANALYSIS; DISSOCIATION; EXOCYTOSIS; MATHEMATICAL COMPUTING; NERVE POTENTIAL; NEUROMUSCULAR SYNAPSE; NEUROTRANSMITTER RELEASE; PRIORITY JOURNAL; QUANTUM MECHANICS; SYNAPSE; TIME; TRANSPORT KINETICS;

EID: 51349085999     PISSN: 09295313     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10827-008-0079-5     Document Type: Article

References (52)

1. Ahmed, Z., & Connor, J. (1988). Calcium regulation by and buffer capacity of molluscan neurons during calcium transients. Cell Calcium, 9, 57-69.
2. 2+ channels at the crayfish inhibitory neuromuscular junction. Journal of Neurophysiology, 92, 1491-5000.
3. Augustine, G. J. (2001). How does calcium trigger neurotransmitter release? Current Opinion in Neurobiology, 11, 320-326.
4. Augustine, G. J., & Neher, E. (1992a). Calcium requirements for secretion in bovine chromaffin cells. Journal of Physiology, 450, 247-271.
5. 2+ signaling takes the local route. Current Opinion in Neurobiology, 2, 302-307.
6. Barrett, E. F., & Stevens, C. F. (1972). The kinetics of transmitter release at the frog neuromuscular junction. Journal of Physiology, 227, 691-708.
7. Bennett, M. R., Farnell, L., & Gibson, W. G. (2000). The probability of quantal secretion near a single calcium channel of an active zone. Biophysical Journal, 78, 2201-2221.
8. Bi, G., & Poo, M. (1998). Synaptic modifications in cultured hippocampal neurons: Dependence on spike timing, synaptic strength, and postsynaptic cell type. Journal of Neuroscience, 18, 10464-10472.
9. Bukharaeva, E., Samigullin, D., Nikolsky, E., & Magazanik, L. (2007). Modulation of the kinetics of evoked quantal release at mouse neuromuscular junctions by calcium and strontium. Journal of Neurochemistry, 100, 939-949.
10. Bukharaeva, E., Samigullin, D., Nikolsky, E., & Vyskočil, F. (2002). Protein kinase A cascade regulates quantal release dispersion at frog muscle endplate. Journal of Physiology, 538, 837-848.
11. 2+ buffers and synaptic efficacy. Cell Calcium, 37, 489-495.
12. 2+ concentration triggering exocytosis in neuroendocrine cells. Proceedings of the National Academy of Sciences of the United States of America, 91, 12765-12769.
13. 2+ signaling. Journal of Neuroscience, 25, 96-107.
14. 2+ in transmitter release at the neuromuscular junction. Journal of Physiology, 193, 419-432.
15. 2+ dynamics and the geometry of secretion. Pflügers Archiv-European Journal of Physiology, 443, 132-145.
16. Feher, J., Fulmer, C., & Fritzsch, G. (1989). Comparison of the enhanced steady-state diffusion of calcium by calbindin-D9K and calmodulin, possible importance in intestinal calcium absorption. Cell Calcium, 10, 189-203.
17. 2+ buffers in axons of cultured Aplysia neurons. Neuron, 18, 473-481.
18. Giniatullin, R., Kheeroug, L., & Vyskočil, F. (1995). Modelling endplate current: Dependence on quantum secretion probability and postsynaptic miniature current parameters. European Journal of Biophysics, 23, 443-446.
19. Hilt, D., & Kligman, D. (1991). The S-100 protein family, a biochemical and functional overview. Novel calcium-binding proteins (pp. 65-103). Berlin: Springer.
20. Katz, B. (1968). The role of calcium in neuromuscular facilitation. Journal of Physiology, 195, 481-492.
21. Katz, B., & Miledi, R. (1965). The measurement of synaptic delay, and the time course of acetylcholine release at the neuromuscular junction. Proceedings of the Royal Society of London. Series B, Biological Sciences, 161, 483-495.
22. Kits, K., de Vlieger, T., Kooi, B., & Mansvelder, H. (1999). Diffusion barriers limit the effect of mobile calcium buffers on exocytosis of large dense cored vesicles. Biophysical Journal, 76, 1693-1705.
23. 2+ diffusion near the membrane, implications for secretion in neuroendocrine cells. Biophysical Journal, 72, 674-690.
24. 2+] transients of neuronal dendrites. Journal of Physiology, 525, 419-432.
25. Lin, J. W., & Farber, S. (2002). Modulation of synaptic delay during synaptic plasticity. Trends in Neuroscience, 25, 449-455.
26. 2+ buffers at the presynaptic terminals of the crayfish neuromuscular junction. Journal of Neurophysiology, 94, 377-386.
27. Markram, H., Lubke, J., Frotscher, M., & Sakmann, B. (1997). Regulation of synaptic efficacy by coincidence of postsynaptic APs and EPSPs. Science, 275, 213-216.
28. Matveev, V., Sherman, A., & Zucker, R. (2002). New and corrected simulations of synaptic facilitation. Biophysical Journal, 83, 1368-1373.
29. Matveev, V., Zucker, R., & Sherman, A. (2004). Facilitation through buffer saturation, constraints on endogenous buffering properties. Biophysical Journal, 86, 2691-2709.
30. Meinrenken, C., Borst, J., & Sakmann, B. (2002). Calcium secretion coupling at Calyx of Held governed by nonuniform channel-vesicle topography. Journal of Neuroscience, 22, 1648-1667.
31. 2+ microdomains in hippocampal neurons. Journal of Neuroscience, 25, 558-565.
32. 2+ and short-term facilitation. Journal of Neuroscience, 27, 2261-2271.
33. 2+ signals in synaptic plasticity. Molecular Systems Biology, 1, 0027.
34. Neher, E. (1995). The use of fura-2 for estimating Ca buffers and Ca fluxes. Neuropharmacology, 34, 1423-1442.
35. Nowycky, M., & Pinter, M. (1993). Time courses of calcium and calcium-bound buffers following calcium influx in a model cell. Biophysical Journal, 64, 77-91.
36. Parnas, H., Dudel, J., & Parnas, I. (1986). Neurotransmitter release and its facilitation in crayfish. V. Another voltage-dependent process beside Ca entry controls the time course of phasic release. Pflügers Archiv, 406, 121-130.
37. Sabatini, B., & Regehr, W. (1999). Timing of synaptic transmission. Annuual Review Physiology, 61, 521-42
38. Sala, F., & Hernandez-Cruz, A. (1990). Calcium diffusion modeling in a spherical neuron. Relevance of buffering properties. Biophysical Journal, 57, 313-324.
39. Samigullin, D., Bukharaeva, E., Vyskočil, F., & Nikolsky, E. (2005). Calcium dependence of uni-quantal release latencies and quantal content at mouse neuromuscular junction. Physiological Researches, 54, 129-132.
40. 2+ kinetics in rodent Purkinje cells, role of parvalbumin and calbindin D28k. Journal of Physiology, 551, 13-32.
41. Schneggenburger, R., & Neher, E. (2000). Intracellular calcium dependence of transmitter release rates at a fast central synapse. Nature, 406, 889-893.
42. Schneggenburger, R., & Neher, E. (2005). Presynaptic calcium and control of vesicle fusion. Current Opinion in Neurobiology, 15, 266-274.
43. Segura, J., Gil, A., & Soria, B. (2000). Modeling study of exocytosis in neuroendocrine cells, influence of the geometrical parameters. Biophysical Journal, 79, 1771-1786.
44. 2+ microdomain and neurotransmitter exocytosis: A Monte Carlo study. Biophysical Journal, 87, 2352-2364.
45. 2+ from one or two channels controls fusion of a single vesicle at the frog neuromuscular junction. Journal of Neuroscience, 26, 13240-13249.
46. Soucek, B. (1971). Influence of latency fluctuations and the quantal process of transmitter release on the end-plate potential's amplitude distribution. Biophysical Journal, 11, 127-139.
47. Stockbridge, N., & Moore, J. (1984). Dynamics of intracellular calcium and its possible relationship to phasic transmitter release and facilitation at the frog neuromuscular junction. Journal of Neuroscience, 4, 803-811.
48. Stuenkel, E. (1994). Regulation of intracellular calcium and calcium buffering properties of rat isolated neurohypophysial nerve endings. Journal of Physiology, 481, 251-271.
49. Tang, Y., Schlumpberger, T., Kim, T., Lueker, M., & Zucker, R. (2000). Effects of mobile buffers on facilitation, experimental and computational studies. Biophysical Journal, 78, 2735-2751.
50. Van der Kloot, W. (1988). The kinetics of quantal releases during end-plate currents at the frog neuromuscular junction. Journal of Physiology, 402, 605-626.
51. Yamada, W., & Zucker, R. (1992). Time course of transmitter release calculated from simulations of a calcium diffusion model. Biophysical Journal, 61, 671-682.
52. Zhou, Z., & Neher, E. (1993). Mobile and immobile calcium buffers in bovine adrenal chromaffine cells. Journal of Physiology, 469, 245-273.