Simulation and parameter estimation study of a simple neuronal model of rhythm generation: Role of NMDA and non-NMDA receptors

Journal of Computational Neuroscience

Volumn 5, Issue 2, 1998, Pages 209-235

  Tabak, Joël ^a,c   Moore, L E ^b  

^a UNIVERSITÉ DE RENNES 1   (France)

^b Centre de Recherche Interdisciplinaire en Biologie   (France)

^c NATIONAL INSTITUTE OF NEUROLOGICAL DISORDERS AND STROKE   (United States)

Author keywords

Central pattern generation; Reciprocal inhibition; Voltage dependent NMDA channels; Xenopus embryo

Indexed keywords

NEURAL NETWORK MODELS; SENSITIVITY ANALYSIS;

'CURRENT; CENTRAL PATTERN GENERATION; D-ASPARTATE; N METHYL D ASPARTATE RECEPTOR; PATTERN GENERATION; RECIPROCAL INHIBITION; SIMPLE++; VOLTAGE DEPENDENCIES; VOLTAGE-DEPENDENT N-METHYL-D-ASPARTATE CHANNEL; XENOPUS EMBRYO;

NEURONS;

N METHYL DEXTRO ASPARTIC ACID; N METHYL DEXTRO ASPARTIC ACID RECEPTOR;

ACTION POTENTIAL; ARTICLE; EMBRYO; NERVE CELL NETWORK; NERVE CONDUCTION; NONHUMAN; PRIORITY JOURNAL; SIMULATION; SWIMMING; SYNAPSE; XENOPUS;

EID: 0031960410     PISSN: 09295313     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008826201879     Document Type: Article

References (51)

1. Ascher P, Nowak L (1988) The role of divalent cations in the N-methyl-D-aspartate responses of mouse central neurones in culture. J. Physiol. 399:247-266.
2. Bower JM, Beaman D (1995) The Book of Genesis. Springer-Verlag.
3. Brodin L, Travén HGC, Lansner A, Wallén P, Ekeberg O, Grillner S (1991) Computer simulations of N-methyl-D-aspartate receptor-induced membrane properties in a neuron model. J. Neurophysiol. 66:473-484.
4. Byrne GD, Hindmarsh AC (1975) A polyalgorithm for the numerical solution of ordinary differential equations. ACM Trans. Math. Software 1:71-96.
5. Dale N (1985) Reciprocal inhibitory interneurones in the Xenopus embryo spinal cord. J. Physiol. 363:61-70.
6. Dale N (1991) The isolation and identification of spinal neurons that control movement in the Xenopus embryo. Eur. J. Neurosci. 3:1025-1035.
7. Dale N (1995a) Experimentally derived model of the locomotor pattern generator in the Xenopus embryo. J. Physiol. 489:489-510.
8. Dale N (1995b) Kinetic characterization of the voltage-gated currents possessed by Xenopus embryo spinal cord. J. Physiol. 489:473-488.
9. Dale N, Roberts A (1985) Dual-component amino-acid-mediated synaptic potentials: Excitatory drive for swimming in Xenopus embryos. J. Physiol. 363:35-59.
10. Destexhe A, Mainen ZF, Sejnowski TJ (1994) An efficient method for computing synaptic conductances based on a kinetic model of receptor binding. Neural Comput. 6:14-18.
11. Foster WR, Ungar LH, Schwaber JS (1993) Significance of conductances in Hodgkin-Huxley models. J. Neurophysiol. 70:2502-2518.
12. Hodgkin AL, Huxley AF (1952) A quantitative description of membrane currents and its application to conduction and excitation in nerve. J. Physiol. 117:500-544.
13. Kahn JA, Roberts A (1982a) The central nervous origin of the swimming motor pattern in embryos of Xenopus laevis. J. Experimental Biol. 99:185-196.
14. Kahn JA, Roberts A (1982b) Experiments on the central pattern generator for swimming in amphibian embryos. Phil. Trans. Roy. Soc. Lond. B 296:229-243.
15. Kirkpatrick S, Gelatt CD, Vecchi MP (1983) Optimization by simulated annealing. Science 220:671-680.
16. 2+ of NMDA responses in spinal cord neurones. Nature 309:261-263.
17. Moore LE, Christensen BN (1985) White noise analysis of cable properties of neuroblastoma cells and lamprey central neurons. J. Neurophysiol. 53:636-651.
18. Moore LE, Hill RH, Grillner S (1993) Voltage-clamp frequency domain analysis of NMDA-activated neurons. J. Exper. Biol. 175:59-87.
19. Moore LE, Buchanan JT, Murphey CR (1995) Localization and interaction of NMDA and non-NMDA receptors of lamprey spinal neurons. Biophys. J. 68:1-8.
20. Murphey CR, Moore LE, Buchanan JT (1995) Quantitative analysis of electrotonic structure and membrane properties of NMDA-activated lamprey spinal neurones. Neural Comput. 7:486-506.
21. Murphey CR, Tabak J, Moore LE, Buchanan JT (1996) Estimation of membrane properties from step current measurements of Xenopus neurons. In: J Bower, ed. Computational Neuroscience, Academic Press, pp. 107-112.
22. Nelder JA, Mead J (1965) A simplex algorithm for function minimization. Computer J. 7:308-313.
23. Nowak L, Bregestovski P, Ascher P, Herbet A, Prochiantz A (1984) Magnesium gates glutamate-activated channels in mouse central neurons. Nature 307:462-465.
24. Perrins R, Roberts A (1995) Cholinergic contribution to excitation in a spinal locomotor central pattern generator in Xenopus embryos. J. Neurophysiol. 73:1013-1019.
25. Press WH, Flannery BP, Teukolsky SA, Vetterling WT (1988) Numerical Recipes in C: The Art of Scientific Computing. Cambridge University Press, Cambridge.
26. Prime L (1994) Rôle des récepteurs au glutamate dans le réseau neuronal de la locomotion chez l'embryon de xénope. Mémoire de DEA Neurosciences Université Paris VI.
27. Roberts A (1990) How does a nervous system produce behaviour? A case study in neurobiology. In: Sci. Progress. Oxford University Press, Oxford, pp. 31-51.
28. Roberts A, Dale N, Söffe SR (1984) Sustained responses to brief stimuli: Swimming in Xenopus embryos. J. Exper. Biol. 112:321-335.
29. Roberts A, Söffe SR, Dale N (1986) Spinal interneurones and swimming in frog embryos. In: S Grillner, R Herman, PGS Stein, D Stuart, eds. Neurobiology of Vertebrate Locomotion. Macmillan, New York. pp. 279-306.
30. Roberts A, Tunstall MJ (1990) Mutual re-excitation with postinhibitory rebound: A simulation study on the mechanisms for locomotor rhythm generation in the spinal cord of Xenopus embryos. Eur. J. Neurosci. 2:11-23.
31. Roberts A, Tunstall MJ (1994) Longitudinal gradients in the spinal cord of Xenopus embryos and their possible role in coordination of swimming. Eur. J. Morphol. 32:293-298.
32. Roberts A, Tunstall MJ, Wolf E (1995) Properties of networks controlling locomotion and significance of voltage dependency of NMDA channels: Simulation study of rhythm generation sustained by positive feedback. J. Neurophysiol. 73:485-495.
33. Sands SB, Barrish ME, (1989) A quantitative description of excitatory amino acid neurotransmitter responses on cultured embryonic Xenopus spinal neurons. Brain Res. 502:375-386.
34. Schöner G, Kelso JAS (1988) Dynamic pattern generation in behavioral and neural systems. Science 239:1513-1520.
35. Sillar KT, Wedderburn JFS, Simmers AJ (1991) The development of swimming rhythmicity in post-embryonic Xenopus laevis. Proc. Roy. Soc. Lond. B 246:147-153.
36. Sillar KT, Simmers AJ, Wedderburn JFS (1992a) The post-embryonic development of cell properties and synaptic drive underlying locomotor rhythm generation in Xenopus larvae. Proc. Roy. Soc. Lond. B 249:65-70.
37. Sillar KT, Wedderburn JFS, Simmers AJ (1992b) Modulation of swimming rhythmicity by 5-hydroxytryptamine during post-embryonic development in Xenopus laevis. Proc. Roy. Soc. Lond. S 250:107-114.
38. Sillar KT, Simmers AJ (1994) 5HT induces NMDA receptor-mediated intrinsic oscillations in embryonic amphibian spinal neurons. Proc. Roy. Soc. Lond. B 255:139-145.
39. Skinner FK, Kopell N, Marder E (1994) Mechanisms for oscillations and frequency control in reciprocally inhibitory model neural networks. J. Comput. Neurosci. 1:69-87.
40. Soffe SR (1989) Roles of glycinergic inhibition and N-methyl-D-aspartate receptor mediated excitation in the locomotor rhythmicity of one half of the Xenopus embryo central nervous system. Eur. J. Neurosci. 1:561-571.
41. Soffe SR (1990) Active and passive membrane properties of spinal cord neurons that are rhythmically active during swimming in Xenopus embryos. Eur. J. Neurosci. 2:1-10.
42. Soffe SR, Roberts A (1989) The influence of magnesium ions on the NMDA mediated responses of ventral rhythmic neurons in the spinal cord of Xenopus embryos. Eur. J. Neurosci. 1:507-515.
43. Travén HGC, Brodin L, Lansner A, Ekeberg O, Wallén P, Grillner S (1993) Computer simulations of NMDA and non-NMDA receptor-mediated synaptic drive: Sensory and supraspinal modulation of neurons and small networks. J. Neurophysiol. 70:695-709.
44. Tunstall MJ, Roberts A (1994) A longitudinal gradient of synaptic drive in the spinal cord of Xenopus embryos and its role in coordination of swimming. J. Physiol. 474:393-405.
45. van Vreeswijk C, Abott LF, Ermentrout GB (1994) When inhibition not excitation synchronizes neural firing. J. Comput. Neurosci. 1:313-321.
46. Vibert J-F, Pakdaman K, Azmy N (1994) Interneural delay modification synchronizes biologically plausible neural networks. Neural Networks 7:589-607.
47. Wall MJ, Dale N (1994) A role for potassium currents in the generation of the swimming pattern of Xenopus embryos. J. Neurophysiol. 72:337-348.
48. Wallen P, Grillner S (1987) N-methyl-D-aspartate receptor-induced, inherent oscillatory activity in neurons active during fictive locomotion in the lamprey. J. Neurosci. 7:2745-2755.
49. Wang X-J, Rinzel J (1992) Alternating and synchronous rhythms in reciprocally inhibitory model neurons. Neural Comput. 4:84-97.
50. Wolf E, Roberts A (1995) The influence of premotor interneuron populations on the frequency of the spinal pattern generator for swimming in Xenopus embryos: A simulation study. European J. Neurosci. 7:671-678.
51. Zipser D (1992) Identification models of the nervous system. Neurosci. 47:853-862.