Evidence for a novel bursting mechanism in rodent trigeminal neurons

Biophysical Journal

Volumn 75, Issue 1, 1998, Pages 174-182

  Del Negro, Christopher A ^a   Hsiao, Chie Fang ^a   Chandler, Scott H ^a,b   Garfinkel, Alan ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b 2851 Slichter Hall ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANIMAL CELL; ARTICLE; BRAIN SLICE; BRAIN STEM; CONTROLLED STUDY; GUINEA PIG; INTERNEURON; MATHEMATICAL MODEL; NERVE CELL MEMBRANE CONDUCTANCE; NERVE CELL MEMBRANE STEADY POTENTIAL; NEWBORN; NONHUMAN; PREDICTION; RAT; SPIKE; STEADY STATE; TRIGEMINAL NERVE; VOLTAGE CLAMP;

EID: 0031837976     PISSN: 00063495     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0006-3495(98)77504-6     Document Type: Article

References (32)

1. Ashcroft, F., and P. Rorsman. 1989. Electrophysiology of the pancreatic β-cell. Prog. Biophys. Mol. Biol. 54:87-143.
2. Atwater, I., C. M. Dawson, A. Scott, G. Eddlestone, and E. Rojas. 1980. The nature of the oscillatory behavior in electrical activity for pancreatic β-cells. In Biochemistry Biophysics of the Pancreatic β-Cell. G. Thieme, editor. Springer Verlag, New York. 100-107.
3. Av-Ron, E., H. Parnas, and L. A. Segel. 1993. A basic biophysical model for bursting neurons. Biol. Cybern. 69:87-95.
4. Baer, S. M., T. Erneux, and J. Rinzel. 1989. The slow passage through a Hopf bifurcation: delay, memory effects, and resonance. SIAM J. Appl. Math. 49:55-71.
5. Benson, J. A., and W. B. Adams. 1989. Ionic mechanisms of endogenous activity in molluscan burster neurons. In Neuronal and Cellular Oscillators. J. W. Jacklet, editor. Marcel Dekker, New York. 87-120.
6. Bertram, R., M. J. Butte, T. Kiemel, and A. Sherman. 1995. Topological and phenomenological classification of bursting oscillations. Bull. Math. Biol. 57:413-39.
7. Butera, R. J. 1998. Multistability in bursting neurons. Chaos. (in press).
8. Butera, R. J., Jr., J. W. Clark, Jr., and J. H. Byrne. 1996. Dissection and reduction of a modeled bursting neuron. J. Comput. Neurosci. 3:199-223.
9. Canavier, C. C., D. A. Baxter, J. W. Clark, and J. H. Byrne. 1993. Nonlinear dynamics in a model neuron provide a novel mechanism for transient synaptic inputs to produce long-term alterations of postsynaptic activity. J. Neurophysiol. 69:2252-2257.
10. Canavier, C. C., J. W. Clark, and J. H. Byrne. 1991. Simulation of the bursting activity of neuron R15 in Aplysia: role of ionic currents, calcium balance, and modulatory transmitters. J. Neurophysiol. 66: 2107-2124.
11. Chay, T. R., and D. L. Cook. 1988. Endogenous bursting patterns in excitable cells. Math. Biosci. 90:139-153.
12. Demir, S. S., R. J. Butera, Jr., A. A. DeFranceschi, J. W. Clark, Jr., and J. H. Byrne. 1997. Phase sensitivity and entrainment in a modeled bursting neuron. Biophys. J. 72:579-594.
13. Fitzhugh, R. 1961. Impulses and physiological states in models of nerve membrane. Biophys. J. 1:445-466.
14. Guckenheimer, J., R. Harris-Warrick, J. Peck, and A. Willms. 1997. Bifurcation, bursting, and spike frequency adaptation. J. Comput. Neurosci. 4:257-277.
15. Hindmarsh, J. L., and R. M. Rose. 1982. A model of the nerve impulse using two first-order differential equations. Nature. 296:162-164.
16. Hindmarsh, J. L., and R. M. Rose. 1984. A model of neuronal bursting using three coupled first order differential equations. Proc. R. Soc. Lond. Biol. 221:87-102.
17. Honerkamp, J., G. Mutschler, and R. Seitz. 1985. Coupling of a slow and a fast oscillator can generate bursting. Bull. Math. Biol. 47:1-21.
18. Hsiao, C.-F., C. A. Del Negro, P. R. Trueblood, and S. H. Chandler. 1998. The ionic basis for serotonin-induced bistable membrane properties in guinea pig trigeminal motoneurons. J. Neurophysiol. (in press).
19. Li, Y.-X., R. Bertram, and J. Rinzel. 1996. Modeling N-methyl-D-aspartate-induced bursting in dopamine neurons. Neuroscience. 71: 397-410.
20. Llinás, R., A. Grace, and Y. Yarom. 1991. In vitro neurons in mammalian cortical layer 4 exhibit intrinsic oscillatory activty in the 10-50-Hz frequency range. Proc. Natl. Acad. Sci. USA. 88:897-901.
21. Marder, E., and R. L. Calabrese. 1996. Principles of rhythmic motor pattern generation. Physiol. Rev. 76:687-717.
22. Pinault, D., and M. Deschenes. 1992. Voltage-dependent 40-Hz oscillations in rat reticular thalamic neurons in vivo. Neuroscience. 51: 245-258.
23. Rinzel, J. 1987. A formal classification of bursting mechanisms in excitable systems. In Mathematical Topics in Population Biology, Morphogenesis and Neurosciences. Lecture Notes in Biomathematics, Vol. 71. E. Teramoto and M. Yamaguti, editors. Springer Verlag, Berlin. 267-281.
24. Rinzel, J., and G. B. Ermentrout. 1989. Analysis of neural excitability and oscillations. In Methods in Neuronal Modeling. C. Koch and I. Segev, editors. MIT Press, Cambridge. 135-169.
25. Rinzel, J., and Y. S. Lee. 1986. On different mechanisms for membrane potential bursting. In Nonlinear Oscillations in Biology and Chemistry. Lecture Notes in Biomathematics, Vol. 66. H. G. Othmer, editor. Springer Verlag, New York. 19-33.
26. Rinzel, J., and Y. S. Lee. 1987. Dissection of a model for neuronal parabolic bursting. J. Math. Biol. 25:653-675.
27. Schwindt, P. C., and W. E. Crill. 1980. Role of a persistent inward current in motoneuron bursting during spinal seizures. J. Neurophysiol. 43: 1700-1724.
28. Smith, J. C. 1997. Integration of cellular and network mechanisms in mammalian oscillatory motor circuits: insights from the respiratory oscillator. In Neurons, Networks, and Motor Behavior. P. S. G. Stein, S. Grillner, A. I. Selverston, and D. G. Stuart, editors. MIT Press, Cambridge. 97-104.
29. Smith, T. G. 1975. Requirements for bursting pacemaker potential activity in molluscan neurones. Nature. 253:450-452.
30. Steriade, M., I. Timofeev, N. Durmuller, and F. Grenier. 1998. Dynamic properties of cortico-thalamic neurons and local cortical interneurons generating fast rhythmic (30-40 Hz) spike bursts. J. Neurophysiol. 79:483-490.
31. Wang, X.-J. 1993a. Genesis of bursting oscillations in the Hindmarsh-Rose model and homoclinicity to a chaotic saddle. Physica D. 62:263-274.
32. Wang, X. J. 1993b. Ionic basis for intrinsic 40 Hz neuronal oscillations. Neuroreport. 5:221-224.