Abstract.
The standard view of the synaptic function in excitatory synapses has been deeply questioned by recent experimental data on hippocampal glutamate synapses both for possible receptor nonsaturation and for larger and non-Gaussian peak amplitude fluctuations. Our previous investigations of the mechanisms involved in the variability of the response of hippocampal glutamatergic synapses, carried out by computer simulation of simple Brownian models of glutamate diffusion, furnished initial evidence about their presynaptic character. A new, refined model, reported here, assumes a collision volume for the glutamate molecule and a more realistic description of receptors and their binding dynamics. Based on this model, conditions for AMPA and NMDA receptor saturation have been investigated and new miniature (or quantal) EPSC parameters have been computed. The results corroborate the hypothesis that the lack of AMPA and NMDA receptor saturation and the EPSC stochastic variability are attributable to the small volume of glutamatergic synaptic vesicles and hence to the small number of glutamate molecules diffusing in the cleft after a vesicle release. The investigations better characterize some not well-known elements of the synaptic structure, such as the fusion pore, and provide useful information on AMPA receptor dynamics. Indeed, a nice fit between computed EPSCs and some miniature EPSCs in recent experimental literature allowed for the computation of new transition time values among the different AMPA receptor states through a trial-and-error optimization procedure. Moreover, the model has been used to evaluate two hypotheses on the genesis of the long-term potentiation phenomenon.
Similar content being viewed by others
References
Agmon N, Edelstein AL (1997) Collective binding properties of receptor arrays. Biophys J 72: 1582–1594
Armstrong N, Gouaux E (2000) Mechanisms for activation and antagonism of an AMPA-sensitive glutamate receptor: crystal structures of the GluR2 ligand binding core. Neuron 28: 165–181
Armstrong N, Sun Y, Chen GQ, Gouaux E (1998) Structure of a glutamate-receptor ligand-binding core in complex with kainate. Nature 395: 913–917
Auger C, Marty A (2000) Quantal currents at single-site central synapses. J Physiol 526: 3–11
Bartol TM Jr, Land BR, Salpeter EE, Salpeter MM (1991) Monte Carlo simulation of miniature endplate current generation in the vertebrate neuromuscular junction. Biophys J 59: 1290–1307
Bekkers JM, Richerson GB, Stevens CF (1990) Origin of variability in quantal size in cultured hippocampal neurons and hippocampal slices. Proc Natl Acad Sci USA 87: 5359–5362
Bruns D, Jahn R (1995) Real-time measurement of transmitter release from single synaptic vesicles. Nature 377: 62–65
Clements JD (1996) Transmitter timecourse in the synaptic cleft: its role in central synaptic function. Trends Neurosci 19: 163–171
Clements JD, Lester RA, Tong J, Jahr CE, Westbrook GL (1992) The time course of glutamate in the synaptic cleft. Science 258: 11498–11501
Colquhoun D, Jonas P, Sakmann B (1992) Action of brief pulses of glutamate on AMPA/kainate receptors in patches from different neurons of rat hippocampal slices. J Physiol Lond 458: 261–287
Diamond JS, Jahr CE (1997) Transporters buffer synaptically released glutamate on a submillisecond time scale. J Neurosci 17: 4672–4687
Edelstein AL, Agmon N (1997) Brownian simulation of many-particle binding to a reversible receptor array. J Comput Phys 132: 260–275
Forti L, Bossi M, Bergamaschi A, Villa A, Malgaroli A (1997) Loose-patch recordings of single quanta at individual hippocampal synapses. Nature 388: 874–878
Gegelashvili G, Dehnes Y, Danbolt NC, Schousboe A (2000) The high-affinity glutamate transporters GLT1, GLAST, and EAAT4 are regulated via different signalling mechanisms. Neurochem Int 37: 163–170
Gillespie DT (1996) The mathematics of Brownian motion and Johnson noise. Am J Phys 64: 225–240
Glavinovic MI (1999) Monte carlo simulation of vesicular release, spatiotemporal distribution of glutamate in synaptic cleft and generation of postsynaptic currents. Pflugers Arch 437: 462–470
Hanse E, Gustafsson B (2001) Quantal variability at glutamatergic synapses in area CA1 of the rat neonatal hippocampus. J Physiol 531: 467–480
Holmes WR (1995) Modeling the effect of glutamate diffusion and uptake on NMDA and non-NMDA receptor saturation. Biophys J 69: 1734–1747
Jahn K, Bufler J, Franke C (1998) Kinetics of AMPA-type glutamate receptor channels in rat caudate-putamen neurons show a wide range of desensitization but distinct recovery characteristics. Eur J Neurosci 10: 664–672
Jayaraman V, Keesey R, Madden DR (2000) Ligand–protein interactions in the glutamate receptor. Biochemistry 39: 8693–8697
Jonas P, Major G, Sakmann B (1993) Quantal components of unitary EPSCs at the mossy fibre synapse on CA3 pyramidal cells of rat hippocampus. J Physiol Lond 472 C: 615–663
Jonas P, Spruston N (1994) Mechanisms shaping glutamate-mediated excitatory postsynaptic currents in the CNS. Curr Opin Neurobiol 4: 366–372
Kleinle J, Vogt K, Luscher HR, Muller L, Senn W, Wyler K, Streit J (1996) Transmitter concentration profiles in the synaptic cleft: an analytical model of release and diffusion. Biophys J 71: 2413–2426
Kruk PJ, Korn H, Faber DS (1997) The effects of geometrical parameters on synaptic transmission: a Monte Carlo simulation study. Biophys J 73: 2874–2890
Kullmann DM (2003) Silent synapses: what are they telling us about long-term potentiation? Philos Trans R Soc Lond B Biol Sci 358: 727–733
Liu G (2003) Presynaptic control of quantal size: kinetic mechanisms and implications for synaptic transmission and plasticity. Curr Opin Neurobiol 13: 324–331
Liu G, Choi S, Tsien RW (1999) Variability of neurotransmitter concentration and nonsaturation of postsynaptic AMPA receptor at synapses in hippocampal cultures and slices. Neuron 22: 395–409
Longsworth LG (1953) Diffusion measurements at 25° of aqueous solutions of amino acids, peptides and sugars. J Am Chem Soc 75: 5705–5709
Mainen ZF, Malinow R, Svoboda K (1999) Synaptic calcium transients in single spines indicate that NMDA receptors are not saturated. Nature 399: 151–155
McAllister AK, Stevens CF (2000) Nonsaturation of AMPA and NMDA receptors at hippocampal synapses. Proc Natl Acad Sci USA 97: 6173–6178
Montgomery JM, Pavlidis P, Madison DV (2001) Pair recordings reveal all-silent synaptic connections and the postsynaptic expression of long-term potentiation. Neuron 29: 691–701
Murphy TH, Baraban JM, Wier WG (1995) Mapping miniature synaptic currents to single synapses using calcium imaging reveals heterogeneity in postsynaptic output. Neuron 15: 159–168
Paas Y, Devillers-Thiery A, Teichberg VI, Changeux JP, Eisenstein M (2000) How well can molecular modelling predict the crystal structure: the case of the ligand-binding domain of glutamate receptors. Trends Pharmacol Sci 21: 87–92
Palfrey HC, Artalejo CR (2003) Secretion: kiss and run caught on film. Curr Biol 13: R397–399
Poncer JC, Malinow R (2001) Postsynaptic conversion of silent synapses during LTP affects synaptic gain and transmission dynamics. Nat Neurosci 4: 989–996
Reigada D, Diez-Perez I, Gorostiza P, Verdaguer A, Gomez de Aranda I, Pineda O, Vilarrasa J, Marsal J, Blasi J, Aleu J, Solsona C (2003) Control of neurotransmitter release by an internal gel matrix in synaptic vesicles. Proc Natl Acad Sci USA 100: 3485–3490
Rusakov DA, Kullmann DM (1998) Extrasynaptic glutamate diffusion in the hippocampus: ultrastructural constraints, uptake, and receptor activation. J Neurosci 18: 3158–3170
Schikorski T, Stevens CF (1997) Quantitative ultrastructural analysis of hippocampus excitatory synapses. J Neurosci 17: 5858–5867
Shupliakov O, Brodin L, Cullheim S, Ottersen OP, Storm-Mathisen J (1992) Immunogold quantification of glutamate in two types of excitatory synapse with different firing patterns. J Neurosci 12: 3789–3803
Stevens CF, Wang Y (1994) Changes in reliability of synaptic function as a mechanism for plasticity. Nature 371: 704–707
Stevens CF, Williams JH (2000) ‘‘Kiss and run’’ exocytosis at hippocampal synapses. Proc Natl Acad Sci USA 97: 12828–12833
Trommershauser J, Marienhagen J, Zippelius A (1999) Stochastic model of central synapses: slow diffusion of transmitter interacting with spatially distributed receptors and transporters. J Theor Biol 198: 101–120
Umemiya M, Senda M, Murphy TH (1999) Behaviour of NMDA and AMPA receptor-mediated miniature EPSCs at rat cortical neuron synapses identified by calcium imaging. J Physiol Lond 521(Pt 1): 113–122
Uteshev VV, Pennefather PS (1996) A mathematical description of miniature postsynaptic current generation at central nervous system synapses. Biophys J 71: 1256–1266
Ventriglia F, Di Maio V (2000a) A Brownian simulation model of glutamate synaptic diffusion in the femtosecond time scale. Biol Cybern 83: 93–109
Ventriglia F, Di Maio V (2000b) A Brownian model of glutamate diffusion in excitatory synapses of Hippocampus. Biosystems 58: 67–74
Ventriglia F, Di Maio V (2002) Stochastic fluctuations of the synaptic function. Biosystems 67: 287–294
Ventriglia F, Di Maio V (2003a) Synaptic fusion pore structure and AMPA receptor activation according to Brownian simulation of glutamate diffusion. Biol Cybern 88: 201–209
Ventriglia F, Di Maio V (2003b) Stochastic fluctuations of the quantal EPSC amplitude in computer simulated excitatory synapses of hippocampus. Biosystems 71: 195–204
Ventriglia F, Di Maio V, Talamo O (1999) A model of synaptic diffusion by brownian simulation. In: Abstracts of the workshop on neural coding, 11–15 October 1999, Osaka, Japan, pp 5–7
Wahl LM, Pouzat C, Stratford KJ (1996) Monte Carlo simulation of fast excitatory synaptic transmission at a hippocampal synapse. J Neurophysiol 75: 597–608
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ventriglia, F. Saturation in excitatory synapses of hippocampus investigated by computer simulations. Biol. Cybern. 90, 349–359 (2004). https://doi.org/10.1007/s00422-004-0476-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00422-004-0476-4