ANALYSIS OF GLUTAMATERGIC AND GABAERGIC RECEPTOR DYNAMICS IN COUPLED OSCILLATOR NEURAL MODEL

Saleh Ramezani, Wu Chen, and Alan W.L. Chiu

References

  1. [1] T.W. Berger, M. Baudry, R.D. Brinton, J.-S. Liaw, V.Z.Marmarelis, A.Y. Park, B.J. Sheu, and A.R. Tanguay, Brain-implantable biomimetic electronics as the next era in neural prosthetics, Proc. IEEE, 89(7), 2001, 993–1012, DOI -10.1109/5.939806.
  2. [2] P. Andersen, The hippocampus book (Oxford, New York: OxfordUniversity Press, 2007).
  3. [3] M. Trevino, C. Vivar, and R. Gutierrez, Beta/gamma oscil-latory activity in the CA3 hippocampal area is depressed byaberrant GABAergic transmission from the dentate gyrus afterseizures, Journal of Neuroscience, 27(1), 2007, 251–259.
  4. [4] S.M. Montgomery and G. Buzs´aki, Gamma oscillations dynam-ically couple hippocampal CA3 and CA1 regions during memory task performance, Proc. National Academy of Sciences, 104(36), 2007, 14495–14500.
  5. [5] T.J. Sejnowski and O. Paulsen, Network oscillations: emerging computational principles, Journal of Neuroscience, 26(6), 2006, 1673–1676.
  6. [6] M. Yoshida, H. Hayashi, K. Tateno, and S. Ishizuka, Stochastic resonance in the hippocampal CA3-CA1 model: a possible memory recall mechanism, Neural Networks, 15(10), 2002,1171–1183.
  7. [7] R. Traub, R. Miles, and R. Wong, Model of the origin ofrhythmic population oscillations in the hippocampal slice,Science, 243(4896), 1989, 1319–1325.
  8. [8] L. Hodgkin and F. Huxley, A quantitative description of mem-brane current and its application to conduction and excitationin nerve, Journal of Physiology, 117, 1952, 500–544.
  9. [9] R. FitzHugh, Impulses and physiological states in theoretical models of nerve membrane, Biophysical Journal, 1(6), 1961, 445–466.
  10. [10] C. Morris and H. Lecar, Voltage oscillations in the barnacle giant muscle fiber, Biophysical Journal, 35(1), 1981, 193–213.
  11. [11] N. Brunel and V. Hakim, Fast global oscillations in networks of integrate-and-fire neurons with low firing rates, Neural Computation, 11(7), 2011, 1621–1671.
  12. [12] K. Alataris, T. Berger, and V. Marmarelis, A novel networkfor nonlinear modeling of neural systems with arbitrary point-process inputs, Neural Networks, 13(2), 2000, 255–266.
  13. [13] V.Z. Marmarelis and M.E. Orme, Modeling of neural systemsby use of neuronal modes, IEEE Transactions on BiomedicalEngineering, 40(11), 1993, 1149–1158.
  14. [14] O. Zalay and B. Bardakjian, Mapped clock oscillators as ring devices and their application to neuronal electrical rhythms, IEEE Transactions on Neural Systems and RehabilitationEngineering, 16(3), 2008, 233–244.
  15. [15] J. Cottrell, G. Dube, C. Egles, and G. Liu, Distribution,density, and clustering of functional glutamate receptors beforeand after synaptogenesis in hippocampal neurons, Journal ofNeurophysiology, 84(3), 2000, 1573–1587.
  16. [16] G. Riedel, B. Platt, and J. Micheau, Glutamate receptorfunction in learning and memory, Behavioural Brain Research,140(1–2), 2003, 1–47.
  17. [17] D. Bai, R.U. Muller, and J.C. Roder, Non-ionotropic cross-talk between AMPA and NMDA receptors in rodent hippocampalneurones, Journal of Physiology, 543(1), 2002, 23–33.
  18. [18] A. Watt, M. Rossum, K. MacLeod, S. Nelson, and G. Turri-giano, Activity coregulates quantal AMPA and NMDA currentsat neocortical synapses, Neuron, 26(3), 2000, 659–670.
  19. [19] H. Bertil, Ion channels of excitable membranes, 3rd ed.(Sunderland, MA: Sinauer Associates, 2001).
  20. [20] C. McBain and M. Mayer, N-methyl-d-aspartic acid receptorstructure and function, Physiological Review, 74(3), 1994,723–760.
  21. [21] L. Nowak, P. Bregestovski, P. Ascher, A. Herbet, and A.Prochiantz, Magnesium gates glutamate-activated channels inmouse central neurones, Nature, 307(5950), 1984, 462–465.
  22. [22] C. Jahr and C. Stevens, A quantitative description of NMDAreceptor-channel kinetic behavior, Journal of Neuroscience,10(6), 1990, 1830–1837.
  23. [23] J.A. Wolf, J.T. Moyer, M.T. Lazarewicz, D. Contreras, M.Benoit-Marand, P. O’Donnell, and L.H. Finkel, NMDA/AMPAratio impacts state transitions and entrainment to oscillationsin a computational model of the nucleus accumbens mediumspiny projection neuron, Journal of Neuroscience, 25(40), 2005,9080–9095.
  24. [24] T.V.P. Bliss and G.L. Collingridge, A synaptic model ofmemory: long-term potentiation in the hippocampus, Nature,361(6407), 1993, 31–39.
  25. [25] A. Chiu, Hybrid neural networks: using artificial neural networks for the analysis and control of biological neural networks, M.S. thesis, University of Toronto, Toronto, Canada, 2002.
  26. [26] C.E. Jahr and C.F. Stevens, Voltage dependence of NMDA-activated macroscopic conductances predicted by single-channel kinetics, Journal of Neuroscience, 10(9), 1990, 3178–3182.
  27. [27] C. McBain and R. Dingledine, Dual-component miniatureexcitatory synaptic currents in rat hippocampal CA3 pyramidalneurons, Journal of Neurophysiology, 68(1), 1992, 16–27.
  28. [28] A. Roth and M. Rossum, Modeling synapses, in Computationalmodeling methods for neuroscientists, 1st ed. (Cambridge, MA:MIT Press, 2010).
  29. [29] A. Kapur, W.W. Lytton, K.L. Ketchum, and L.B. Haberly,Regulation of the NMDA component of EPSPs by differentcomponents of postsynaptic GABAergic inhibition: computersimulation analysis in piriform cortex, Journal of Neurophysi-ology, 78(5), 1997, 2546–2559.
  30. [30] G. Buzs´aki and A. Draguhn, Neuronal oscillations in cortical networks, Science, 304(5679), 2004, 1926–1929.
  31. [31] G. Buzsaki, D.L. Buhl, K.D. Harris, J. Csicsvari, B. Czeh, and A. Morozov, Hippocampal network patterns of activity in themouse, Neuroscience, 116(1), 2003, 201–211.
  32. [32] F.G. Pike, R.S. Goddard, J.M. Suckling, P. Ganter, N.Kasthuri, and O. Paulsen, Distinct frequency preferences ofdifferent types of rat hippocampal neurones in response tooscillatory input currents, Journal of Physiology, 529(1), 2000,205–213.
  33. [33] S. Hestrin, R.A. Nicoll, D.J. Perkel, and P. Sah, Analysis of excitatory synaptic action in pyramidal cells using whole-cell recording from rat hippocampal slices, Journal of Physiology, 422(1), 1990, 203–225.
  34. [34] O. Zalay, D. Serletis, P. Carlen, and B. Bardakjian, Systemcharacterization of neuronal excitability in the hippocampusand its relevance to observed dynamics of spontaneous seizure-like transitions, Journal of Neural Engineering, 7(3), 2010,036002 (15pp).
  35. [35] W. Chen, D.O. Cahoy, J.G. Tasker, and A.W.L. Chiu, Kernelduration and modulation gain in a coupled oscillator modeland their implications on the progression of seizures, Network:Computation in Neural Systems, 23(1–2), 2012, 59–75.
  36. [36] P.S. Mangan and J. Kapur, Factors underlying bursting be-havior in a network of cultured hippocampal neurons exposedto zero magnesium, Journal of Neurophysics, 91(2), 2004,946–957.
  37. [37] J.P. Margues, Applied statistics: using SPSS, STATISTICA,and MATLAB, vol. 1 (New York: Springer, 2003).
  38. [38] A. Wolf, J.B. Swift, H.L. Swinney, and J.A. Vastano, Deter-mining Lyapunov exponents from a time series, Physica D: Nonlinear Phenomena, 16(3), 1985, 285–317.
  39. [39] K.D. Harris, J. Csicsvari, H. Hirase, G. Dragoi, and G. Buzsaki, Organization of cell assemblies in the hippocampus, Nature, 424(6948), 2003, 552–556.
  40. [40] M.W. Slutzky and D.J. Mogul, Chaotic behavior in two hip-pocampal models of epilepsy, in Proceedings of the 20th AnnualInternational Conference of the IEEE Engineering in Medicineand Biology Society, 4, 1998, 2030–2033.
  41. [41] R.D. Traub, J.G. Jefferys, and M.A. Whittington, EnhancedNMDA conductance can account for epileptiform activity induced by low Mg2+ in the rat hippocampal slice, Journal of Physiology, 478(3), 1994, 379–393.
  42. [42] P.C. Bressloff and S. Coombes, Dynamics of strongly coupledspiking neurons, Neural Computation, 12(1), 2011, 91–129.
  43. [43] C. Lee, M. Anton, C. Poon, and G. McRae, A kinetic modelunifying presynaptic short-term facilitation and depression,Journal of Computational Neuroscience, 26(3), 2009, 459–473.
  44. [44] J.S. Dittman, A.C. Kreitzer, and W.G. Regehr, Interplaybetween facilitation, depression, and residual calcium at threepre-synaptic terminals, Journal of Neuroscience, 20(4), 2000,1374–1385.

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