Skip to main content
Biophysical Journal logoLink to Biophysical Journal
. 1996 Sep;71(3):1256–1266. doi: 10.1016/S0006-3495(96)79325-6

A mathematical description of miniature postsynaptic current generation at central nervous system synapses.

V V Uteshev 1, P S Pennefather 1
PMCID: PMC1233593  PMID: 8874000

Abstract

Variation in the amplitude of miniature postsynaptic currents (mPSCs) generated by individual quanta of neurotransmitter is a major contributor to the variance of evoked synaptic responses. Here we explore the possible origins of this variability by developing a mathematical description of mPSC generation and consider the contribution of "off-center" release to this variability. By "off-center" release we mean variation in the distance between the position where a presynaptic vesicle discharges its content of neurotransmitter into the synaptic cleft and the center of a cluster of postsynaptic receptors (PRCs) that responds to those transmitter molecules by generating an mPSC. We show that when the time course of quantal discharge through a fusion pore (noninstantaneous release) is considered, elementary analytical descriptions of the subsequent diffusion of transmitter within the synaptic cleft (with or without uptake) predict the development of significant gradients of transmitter concentration during the rising phase of mPSCs. This description of diffusion is combined with a description of the pharmacodynamics of receptors in the PRC and of the time dependence of the gradient of transmitter concentration over the area of the PRC to reconstruct the time course and amplitude of an mPSC for a synapse of a given geometry. Within the constraints of known dimensions of presynaptic active zones and postsynaptic receptor clusters at CNS synapses, our analysis suggests that "off-center" release, produced by allowing release to occur anywhere within an anatomically defined presynaptic active zone, can be an important contributor to mPSC variability. Indeed, modulation of the influence of "off-center" release may be a novel way of controlling synaptic efficacy. We also show how noninstantaneous release can serve to focus the action of neurotransmitter within a given synapse and thereby reduce cross-talk between synapses.

Full text

PDF
1256

Images in this article

Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Bekkers J. M., Richerson G. B., Stevens C. F. Origin of variability in quantal size in cultured hippocampal neurons and hippocampal slices. Proc Natl Acad Sci U S A. 1990 Jul;87(14):5359–5362. doi: 10.1073/pnas.87.14.5359. [DOI] [PMC free article] [PubMed] [Google Scholar]
  2. Bekkers J. M., Stevens C. F. NMDA and non-NMDA receptors are co-localized at individual excitatory synapses in cultured rat hippocampus. Nature. 1989 Sep 21;341(6239):230–233. doi: 10.1038/341230a0. [DOI] [PubMed] [Google Scholar]
  3. Burger P. M., Mehl E., Cameron P. L., Maycox P. R., Baumert M., Lottspeich F., De Camilli P., Jahn R. Synaptic vesicles immunoisolated from rat cerebral cortex contain high levels of glutamate. Neuron. 1989 Dec;3(6):715–720. doi: 10.1016/0896-6273(89)90240-7. [DOI] [PubMed] [Google Scholar]
  4. Clements J. D., Lester R. A., Tong G., Jahr C. E., Westbrook G. L. The time course of glutamate in the synaptic cleft. Science. 1992 Nov 27;258(5087):1498–1501. doi: 10.1126/science.1359647. [DOI] [PubMed] [Google Scholar]
  5. Clements J. D. Transmitter timecourse in the synaptic cleft: its role in central synaptic function. Trends Neurosci. 1996 May;19(5):163–171. doi: 10.1016/s0166-2236(96)10024-2. [DOI] [PubMed] [Google Scholar]
  6. Craig A. M., Blackstone C. D., Huganir R. L., Banker G. The distribution of glutamate receptors in cultured rat hippocampal neurons: postsynaptic clustering of AMPA-selective subunits. Neuron. 1993 Jun;10(6):1055–1068. doi: 10.1016/0896-6273(93)90054-u. [DOI] [PubMed] [Google Scholar]
  7. ECCLES J. C., JAEGER J. C. The relationship between the mode of operation and the dimensions of the junctional regions at synapses and motor end-organs. Proc R Soc Lond B Biol Sci. 1958 Jan 1;148(930):38–56. doi: 10.1098/rspb.1958.0003. [DOI] [PubMed] [Google Scholar]
  8. Edwards F. A. Anatomy and electrophysiology of fast central synapses lead to a structural model for long-term potentiation. Physiol Rev. 1995 Oct;75(4):759–787. doi: 10.1152/physrev.1995.75.4.759. [DOI] [PubMed] [Google Scholar]
  9. Faber D. S., Young W. S., Legendre P., Korn H. Intrinsic quantal variability due to stochastic properties of receptor-transmitter interactions. Science. 1992 Nov 27;258(5087):1494–1498. doi: 10.1126/science.1279813. [DOI] [PubMed] [Google Scholar]
  10. Frerking M., Borges S., Wilson M. Variation in GABA mini amplitude is the consequence of variation in transmitter concentration. Neuron. 1995 Oct;15(4):885–895. doi: 10.1016/0896-6273(95)90179-5. [DOI] [PubMed] [Google Scholar]
  11. Herz A., Zieglgänsberger W., Färber G. Microelectrophoretic studies concerning the spread of glutamic acid and GABA in brain tissue. Exp Brain Res. 1969;9(3):221–235. doi: 10.1007/BF00234456. [DOI] [PubMed] [Google Scholar]
  12. Holmes W. R. Modeling the effect of glutamate diffusion and uptake on NMDA and non-NMDA receptor saturation. Biophys J. 1995 Nov;69(5):1734–1747. doi: 10.1016/S0006-3495(95)80043-3. [DOI] [PMC free article] [PubMed] [Google Scholar]
  13. Ichimura T., Hashimoto P. H. Structural components in the synaptic cleft captured by freeze-substitution and deep etching of directly frozen cerebellar cortex. J Neurocytol. 1988 Feb;17(1):3–12. doi: 10.1007/BF01735373. [DOI] [PubMed] [Google Scholar]
  14. Jonas P., Major G., Sakmann B. Quantal components of unitary EPSCs at the mossy fibre synapse on CA3 pyramidal cells of rat hippocampus. J Physiol. 1993 Dec;472:615–663. doi: 10.1113/jphysiol.1993.sp019965. [DOI] [PMC free article] [PubMed] [Google Scholar]
  15. Jones K. A., Baughman R. W. Both NMDA and non-NMDA subtypes of glutamate receptors are concentrated at synapses on cerebral cortical neurons in culture. Neuron. 1991 Oct;7(4):593–603. doi: 10.1016/0896-6273(91)90372-7. [DOI] [PubMed] [Google Scholar]
  16. Khanin R., Parnas H., Segel L. Diffusion cannot govern the discharge of neurotransmitter in fast synapses. Biophys J. 1994 Sep;67(3):966–972. doi: 10.1016/S0006-3495(94)80562-4. [DOI] [PMC free article] [PubMed] [Google Scholar]
  17. Kuffler S. W., Yoshikami D. The number of transmitter molecules in a quantum: an estimate from iontophoretic application of acetylcholine at the neuromuscular synapse. J Physiol. 1975 Oct;251(2):465–482. doi: 10.1113/jphysiol.1975.sp011103. [DOI] [PMC free article] [PubMed] [Google Scholar]
  18. Land B. R., Salpeter E. E., Salpeter M. M. Kinetic parameters for acetylcholine interaction in intact neuromuscular junction. Proc Natl Acad Sci U S A. 1981 Nov;78(11):7200–7204. doi: 10.1073/pnas.78.11.7200. [DOI] [PMC free article] [PubMed] [Google Scholar]
  19. Legendre P., Korn H. Glycinergic inhibitory synaptic currents and related receptor channels in the zebrafish brain. Eur J Neurosci. 1994 Oct 1;6(10):1544–1557. doi: 10.1111/j.1460-9568.1994.tb00545.x. [DOI] [PubMed] [Google Scholar]
  20. Liu G., Tsien R. W. Properties of synaptic transmission at single hippocampal synaptic boutons. Nature. 1995 Jun 1;375(6530):404–408. doi: 10.1038/375404a0. [DOI] [PubMed] [Google Scholar]
  21. Malgaroli A., Ting A. E., Wendland B., Bergamaschi A., Villa A., Tsien R. W., Scheller R. H. Presynaptic component of long-term potentiation visualized at individual hippocampal synapses. Science. 1995 Jun 16;268(5217):1624–1628. doi: 10.1126/science.7777862. [DOI] [PubMed] [Google Scholar]
  22. Mennerick S., Zorumski C. F. Presynaptic influence on the time course of fast excitatory synaptic currents in cultured hippocampal cells. J Neurosci. 1995 Apr;15(4):3178–3192. doi: 10.1523/JNEUROSCI.15-04-03178.1995. [DOI] [PMC free article] [PubMed] [Google Scholar]
  23. Nusser Z., Roberts J. D., Baude A., Richards J. G., Somogyi P. Relative densities of synaptic and extrasynaptic GABAA receptors on cerebellar granule cells as determined by a quantitative immunogold method. J Neurosci. 1995 Apr;15(4):2948–2960. doi: 10.1523/JNEUROSCI.15-04-02948.1995. [DOI] [PMC free article] [PubMed] [Google Scholar]
  24. Orrego F., Villanueva S. The chemical nature of the main central excitatory transmitter: a critical appraisal based upon release studies and synaptic vesicle localization. Neuroscience. 1993 Oct;56(3):539–555. doi: 10.1016/0306-4522(93)90355-j. [DOI] [PubMed] [Google Scholar]
  25. Otmakhov N., Shirke A. M., Malinow R. Measuring the impact of probabilistic transmission on neuronal output. Neuron. 1993 Jun;10(6):1101–1111. doi: 10.1016/0896-6273(93)90058-y. [DOI] [PubMed] [Google Scholar]
  26. Raastad Morten, Storm Johan F., Andersen Per. Putative Single Quantum and Single Fibre Excitatory Postsynaptic Currents Show Similar Amplitude Range and Variability in Rat Hippocampal Slices. Eur J Neurosci. 1992 Oct;4(1):113–117. doi: 10.1111/j.1460-9568.1992.tb00114.x. [DOI] [PubMed] [Google Scholar]
  27. Raman I. M., Trussell L. O. The kinetics of the response to glutamate and kainate in neurons of the avian cochlear nucleus. Neuron. 1992 Jul;9(1):173–186. doi: 10.1016/0896-6273(92)90232-3. [DOI] [PubMed] [Google Scholar]
  28. Rosahl T. W., Spillane D., Missler M., Herz J., Selig D. K., Wolff J. R., Hammer R. E., Malenka R. C., Südhof T. C. Essential functions of synapsins I and II in synaptic vesicle regulation. Nature. 1995 Jun 8;375(6531):488–493. doi: 10.1038/375488a0. [DOI] [PubMed] [Google Scholar]
  29. Spruce A. E., Breckenridge L. J., Lee A. K., Almers W. Properties of the fusion pore that forms during exocytosis of a mast cell secretory vesicle. Neuron. 1990 May;4(5):643–654. doi: 10.1016/0896-6273(90)90192-i. [DOI] [PubMed] [Google Scholar]
  30. Sur C., Triller A., Korn H. Morphology of the release site of inhibitory synapses on the soma and dendrite of an identified neuron. J Comp Neurol. 1995 Jan 9;351(2):247–260. doi: 10.1002/cne.903510205. [DOI] [PubMed] [Google Scholar]
  31. Südhof T. C. The synaptic vesicle cycle: a cascade of protein-protein interactions. Nature. 1995 Jun 22;375(6533):645–653. doi: 10.1038/375645a0. [DOI] [PubMed] [Google Scholar]
  32. Tang C. M., Margulis M., Shi Q. Y., Fielding A. Saturation of postsynaptic glutamate receptors after quantal release of transmitter. Neuron. 1994 Dec;13(6):1385–1393. doi: 10.1016/0896-6273(94)90423-5. [DOI] [PubMed] [Google Scholar]
  33. Tong G., Jahr C. E. Block of glutamate transporters potentiates postsynaptic excitation. Neuron. 1994 Nov;13(5):1195–1203. doi: 10.1016/0896-6273(94)90057-4. [DOI] [PubMed] [Google Scholar]
  34. Traynelis S. F., Silver R. A., Cull-Candy S. G. Estimated conductance of glutamate receptor channels activated during EPSCs at the cerebellar mossy fiber-granule cell synapse. Neuron. 1993 Aug;11(2):279–289. doi: 10.1016/0896-6273(93)90184-s. [DOI] [PubMed] [Google Scholar]
  35. Van der Kloot W. The rise times of miniature endplate currents suggest that acetylcholine may be released over a period of time. Biophys J. 1995 Jul;69(1):148–154. doi: 10.1016/S0006-3495(95)79884-8. [DOI] [PMC free article] [PubMed] [Google Scholar]
  36. Vogt K., Lüscher H. R., Streit J. Analysis of synaptic transmission at single identified boutons on rat spinal neurons in culture. Pflugers Arch. 1995 Oct;430(6):1022–1028. doi: 10.1007/BF01837420. [DOI] [PubMed] [Google Scholar]
  37. Wahl L. M., Pouzat C., Stratford K. J. Monte Carlo simulation of fast excitatory synaptic transmission at a hippocampal synapse. J Neurophysiol. 1996 Feb;75(2):597–608. doi: 10.1152/jn.1996.75.2.597. [DOI] [PubMed] [Google Scholar]

Articles from Biophysical Journal are provided here courtesy of The Biophysical Society

RESOURCES