Simplified dynamics of human and mammalian neocortical neurons

Journal of Theoretical Biology

Volumn 200, Issue 4, 1999, Pages 375-388

  Wilson, Hugh R ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CALCIUM ION; POTASSIUM ION; SODIUM ION;

ARTICLE; BRAIN NERVE CELL; CALCIUM CURRENT; DYNAMICS; ION CURRENT; MATHEMATICAL MODEL; NEOCORTEX; POTASSIUM CURRENT; PRIORITY JOURNAL; SODIUM CURRENT;

MAMMALIA;

EID: 0033592662     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1006/jtbi.1999.1002     Document Type: Article

References (38)

1. AGMON A., CONNORS B. W. Repetitive burst-firing neurons in the deep layers of mouse somatosensory cortex. Neurosci. Lett. 99:1989;137-141.
2. AVOLI M., HWA G. G. C., LACAILLE J.-C., OLIVIER A., VILLEMURE J.-G. Electrophysiological and repetitive firing properties of neurons in the superficial/middle layers of the human neocortex maintained in vitro. Exp. Brain Res. 98:1994;135-144.
3. BERTRAM R., BUTTE M. J., KIEMEL T., SHERMAN A. Topological and phenomenological classification of bursting oscillations. Bull. Math. Biol. 57:1995;413-439.
4. BOOTH V., RINZEL J. A minimal, compartmental model for a dendritic origin of bistability in motoneuron firing patterns. J. Comput. Neurosci. 2:1995;299-312.
5. COLLINS J. J., CHOW C. C., IMHOFF T. T. Stochastic resonance without tuning. Nature. 376:1995;236-238.
6. CONNORS B. W., GUTNICK M. J. Intrinsic firing patterns of diverse neocortical neurons. TINS. 13:1990;99-104.
7. CONNORS B. W., GUTNICK M. J., PRINCE D. A. Electrophysiological properties of neocortical neurons in vitro. J. Neurophysiol. 48:1982;1302-1320.
8. ERMENTROUT B. Neural networks as spatio-temporal pattern-forming systems. Rep. Prog. Phys. 61:1998;353-430.
9. FITZHUGH R. Impulses and physiological states in models of nerve membrane. Biophys. J. 1:1961;445-466.
10. FOEHRING R. C., LORENZON N. M., HERRON P., WILSON C. J. Correlation of physiologically and morphologically identified neuronal types in human association cortex in vitro. J. Neurophysiol. 66:1991;1825-1837.
11. FOEHRING R. C., WYLER A. R. Two patterns of firing in human neocortical neurons. Neurosci. Lett. 110:1990;279-285.
12. GIL Z., AMITAI Y. Properties of convergent thalamocortical and intracortical synaptic potentials in single neurons of neocortex. J. Neurosci. 16:1996;6567-6578.
13. GRAY C. M., McCORMICK D. A. Chattering cells: superficial pyramidal neurons contributing to the generation of synchronous oscillations in the visual cortex. Science. 274:1996;109-113.
14. GUTNICK M. J., CRILL W. E. The cortical neuron as an electrophysiological unit. Gutnick M. J., Moody I. The Cortical Neuron. 1995;33-51 Oxford University Press, New York.
15. HINDMARSH J. L., ROSE R. M. A model of the nerve impulse using two first-order differential equations. Nature. 296:1982;162-164.
16. HINDMARSH J. L., ROSE R. M. A model of neuronal bursting using three coupled first order differential equations. Proc. R. Soc. Lond. B. 221:1984;87-102.
17. HODGKIN A. L., HUXLEY A. F. A quantitative descritption of membrane current and its application to conduction and excitation in nerve. J. Physiol. 117:1952;500-544.
18. HODGKIN A. L., KATZ B. The effect of sodium ions on the electrical activity of the giant axon of the squid. J. Physiol. 108:1949;37-77.
19. KAPLAN D. T., CLAY J. R., MANNING T., GLASS L., GUEVARA M. R., SHRIER A. Subthreshold dynamics in periodically stimulated squid giant axons. Phys. Rev. Lett. 76:1996;4074-4077.
20. LONGTIN A. Synchronization of the stochastic Fitzhugh-Nagumo equations to periodic forcing. II Nuovo Cimento. 17:1995;835-846.
21. LORENZON N. M., FOEHRING R. C. Relationship between repetitive firing and afterhyperpolarizations in human neocortical neurons. J. Neurophysiol. 67:1992;350-363.
22. MAINEN Z. F., SEJNOWSKI T. J. Influence of dendritic structure on firing pattern in model neocortical neurons. Nature. 382:1996;363-366.
23. McCORMICK D. A. GABA as an inhibitory neurotransmitter in human cerebral cortex. J. Neurophysiol. 62:1989;1018-1027.
24. McCORMICK D. A. Membrane properties and neurotransmitter actions. Shepherd G. M. The Synaptic Organization of the Brain. 1998;37-75 Oxford University Press, New York.
25. McCORMICK D. A., CONNORS B. W., LIGHTHALL J. W., PRINCE D. A. Comparative electrophysiology of pyramidal and sparsely spiny stellate neurons of the neocortex. J. Neurophysiol. 54:1985;782-806.
26. McCORMICK D. A., WILLIAMSON A. Convergence and divergence of neurotransmitter action in human cerebral cortex. Proc. Nat. Acad. Sci. 86:1989;8098-8102.
27. MORRIS C., LECAR H. Voltage oscillations in the barnacle giant muscle fiber. Biophys. J. 35:1981;193-213.
28. NAGUMO J. S., ARIMOTO S., YOSHIZAWA S. An active pulse transmission line simulating a nerve axon. Proc. IRE. 50:1962;2061-2070.
29. NOBLE D. Ionic mechanisms in rhythmic firing of heart and nerve. TINS. 8:1985;499-504.
30. PINSKY P. F., RINZEL J. Intrinsic and network rhythmogenesis in a reduced Traub model for CA3 neurons. J. Comput. Neurosci. 1:1994;39-60.
31. RALL W. Distinguishing theoretical synaptic potentials computed for different soma-dendritic distributions of synaptic inputs. J. Neurophys. 30:1967;1138-1168.
32. RALL W. Cable theory for dendritic neurons. Koch C., Segev I. Methods in Neuronal Modeling: from Synapses to Networks. 1989;9-62 MIT Press, Cambridge.
33. RINZEL J. Excitation dynamics: insights from simplified membrane models. Fed. Proc. 44:1985;2944-2946.
34. RINZEL J. A formal classification of bursting mechanisms in excitable systems. Teramoto E., Yamaguti M. Mathematical Topics in Population Biology, Morphogenesis, and Neurosciences. 1987;267-281 Springer, Berlin.
35. RINZEL J., ERMENTROUT G. B. Analysis of neural excitability and oscillations. Koch C., Segev I. Methods in Neuronal Modelling: from Synapses to Networks. 1989;135-169 MIT Press, Cambridge.
36. ROSE R. M., HINDMARSH J. L. The assembly of ionic currents in a thalamic neuron, I. The three-dimensional model. Proc. R. Soc. Lond. B. 237:1989;267-288.
37. RUSH M. E., RINZEL J. Analysis of bursting in a thalamic neuron model. Biol. Cybernet. 71:1994;281-291.
38. WILSON H. R. Spikes, Decisions & Actions: Dynamical Foundations of Neuroscience. 1999;Oxford University Press, Oxford.