Encoding with Bursting, Subthreshold Oscillations, and Noise in Mammalian Cold Receptors

Neural Computation

Volumn 8, Issue 2, 1996, Pages 215-255

  Longtin, André ^a   Hinzer, Karin ^a  

^a UNIVERSITY OF OTTAWA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ACTION POTENTIAL; ANIMAL; BIOLOGICAL MODEL; CAT; COLD; LINGUAL NERVE; NOISE; PERCEPTIVE THRESHOLD; PHYSIOLOGY; REVIEW; THERMORECEPTOR;

ACTION POTENTIALS; ANIMALS; CATS; COLD; LINGUAL NERVE; MODELS, NEUROLOGICAL; NOISE; SENSORY THRESHOLDS; THERMORECEPTORS;

EID: 0030584253     PISSN: 08997667     EISSN: None     Source Type: Journal    
DOI: 10.1162/neco.1996.8.2.215     Document Type: Article

References (70)

1. Adams, W. B., and Benson, J. A. 1985. The generation and modulation of endogeneous rhythmicity in the Aplysia bursting pacemaker neurone R15. Prog. Biophys. Mol. Biol. 46, 1-49.
2. Bade, H., Braun, H. A., and Hensel, H. 1979. Parameters of the static burst discharge of lingual cold receptors in the cat. Pflügers Arch. 382, 1-5.
3. Barish, M. E., and Thompson, S. H. 1983. Calcium buffering and slow recovery kinetics of calcium-dependent outward current in molluscan neurones. J. Physiol. 337, 201-219.
4. Bayly, E. J. 1968. Spectral analysis of pulse frequency modulation in the nervous system. IEEE Trans. Bio-Med. Eng. 15, 257-265.
5. Braun, H. A., Bade, H., and Hensel, H. 1980. Static and dynamic discharge patterns of bursting cold fibers related to hypothetical receptor mechanisms. Pflügers Arch. 386, 1-9.
6. Braun, H. A., Schäfer, K., Wissing, H., and Hensel, H. 1984a. Periodic transduction processes in thermosensitive receptors. In Sensory Receptor Mechanisms, W. Hamann and A. Iggo, eds., pp. 147-156. World Scientific, Singapore.
7. Braun, H. A., Schäfer, K., and Wissing, H. 1984b. Theorien und Modelle zum Übertragungsverhalten thermosensitiver Rezeptoren. Funkt. Biol. Med. 3, 26-36.
8. Braun, H. A., Schäfer, K., and Wissing, H. 1990. Theories and models of temperature transduction. In Thermoreception and Thermoregulation, J. Bligh and K. Voigt, eds., pp. 19-29. Springer Verlag, Berlin.
9. Braun, H. A., Wissing, H., Schäfer, K., and Hirsch, M. C. 1994. Oscillation and noise determine signal transduction in shark multimodal sensory cells. Nature (London) 367, 270-273.
10. Canavier, C. C., Clark, J. W., and Byrne, J. H. 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. Canavier, C. C., Baxter, D. A., Clark, J. W., and Byrne, J. H. 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.
12. Carpenter, D. O. 1967. Temperature effects on pacemaker generation, membrane potential, and critical firing threshold in Aplysia neurons. J. Gen. Physiol. 50, 1469-1484.
13. Carpenter, D. O. 1981. Ionic and metabolic bases of neuronal thermosensitivity. Fed. Proc. 40, 2808-2813.
14. + pump to membrane potential in Aplysia neurons. J. Gen. Physiol. 52, 1-21.
15. Chay, T. R. 1983. Eyring rate theory in excitable membranes: Application to neuronal oscillations. J. Phys. Chem. 87, 2935-2940.
16. Chay, T. R. 1984. Abnormal discharges and chaos in a neuronal model system. Biol. Cybern. 50, 301-311.
17. Chay, T. R., and Kang, H. S. 1987. Multiple oscillatory states and chaos in the endogeneous activity of excitable cells: Pancreatic β-cells as an example. In Chaos in Biological Systems, H. Degn, A. V. Holden, and L. F. Olsen, eds., pp. 173-181. Plenum, New York.
18. Chay, T. R., and Kang, H. S. 1988. Role of single-channel stochastic noise on bursting clusters of pancreatic β-cells. Biophys. J. 54, 427-435.
19. Chay, T. R., and Fan, Y. 1993. Evolution of periodic states and chaos in two types of neuronal models. In Chaos in Biology and Medicine, Proc. SPIE 2036, 100-114.
20. Chay, T. R., and Rinzel, J. 1985. Bursting, beating, and chaos in an excitable membrane model. Biophys. J. 47, 357-366.
21. Chay, T. R., Lee, Y. S., and Fan, Y. 1995. Bursting, spiking, chaos, fractals and universality in biological rhythms. Int. J. Bifurc. Chaos (in press).
22. Chialvo, D. R., and Apkarian, V. 1993. Modulated noisy biological dynamics: Three examples. J. Stat. Phys. 70, 375-391.
23. Clay, J. R. 1977. Monte Carlo simulation of membrane noise: An analysis of fluctuations in graded excitation of nerve membrane. J. Theor. Biol. 64, 671-680.
24. DeFelice, L. J. 1981. Introduction to Membrane Noise. Plenum, New York.
25. Douglass, J. K., Wilkens, L., Pantazelou, E., and Moss, F. 1993. Noise enhancement of information transfer in crayfish mechanoreceptors by stochastic resonance. Nature (London) 365, 337-340.
26. Dykes, R. W. 1975. Coding of steady and transient temperatures by cutaneous "cold" fibers serving the hand of monkeys. Brain Res. 98, 485-500.
27. Fox, R. F., Gatland, I. R., Roy, R., and Vemuri, G. 1988. Fast, accurate algorithm for numerical simulation of exponentially correlated colored noise. Phys. Rev. A 38, 5938-5940.
28. French, A. S., and Holden, A. V. 1971. Alias-free sampling of neuronal spike trains. Kybernetik 8, 165-171.
29. French, A. S., Holden, A. V., and Stein, R. B. 1972. The estimation of the frequency response function of a mechanoreceptor. Kybernetik 11, 15-23.
30. Gerstein, G., and Mandelbrot, B. 1964. Random walk models for the spike activity of a single neuron. Biophys. J. 4, 41-68.
31. Hensel, H. 1974. Thermoreceptors. Annu. Rev. Physiol. 36, 233-249.
32. Hindmarsh, J. L., and Rose, R. M. 1984. A model of neuronal bursting using three coupled first order differential equations. Proc. Roy. Soc. London B221, 87-102.
33. Hochmair-Desoyer, I. J., Hochmair, E. S., Motz, H., and Rattay, F. 1984. A model for the electrostimulation of the nervus acusticus. Neuroscience 13, 553-562.
34. Hodgkin, A. L., and Huxley, A. F. 1952. A quantitative description of membrane current and its application to conduction and excitation in nerve. J. Physiol. (London) 117, 500-544.
35. Hodgkin, A. L., and Katz, B. 1949. The effect of temperature on the electrical activity of the giant axon of the squid. J. Physiol. (London) 109, 240-249.
36. Hodgkin, A. L., and Keynes, R. D. 1955. Active transport of cations in giant axons from Sepia and Loligo. J. Physiol. (London) 128, 28-60.
37. Horsthemke, W., and Lefever, R. 1984. Noise-Induced Transitions. Theory and Applications in Physics, Chemistry, and Biology. Springer Series in Synergetics, Vol. 15. Springer, Berlin.
38. Huxley, A. F. 1959. Ion movements during nerve activity. Ann. N.Y. Acad. Sci. 81, 221-246.
39. Iggo, A., and Iggo, B. J. 1971. Impulse coding in primate cutaneous thermoreceptors in dynamic thermal conditions. J. Physiol. (Paris) 63, 287-290.
40. Junge, D., and Stephens, C. L. 1973. Cyclic variation of potassium conductance in a burst-generating neurone in Aplysia. J. Physiol. (London) 235, 155-181.
41. Kramer, R. A., and Zucker, R. S. 1985. Calcium-induced inactivation of calcium current causes the inter-burst hyperpolarization of Aplysia bursting neurones. J. Physiol. 362, 131-160.
42. Laüger, P. 1991. Electrogenic Ion Pumps. Sinauer, New York.
43. Lecar H., and Nossal, R. 1971. Theory of threshold fluctuations in nerves. 1. Relationship between electrical noise and fluctuations in axon firing. Biophys. J. 11, 1049-1067.
44. Longtin, A. 1993. Stochastic resonance in neuron models. J. Stat. Phys. 70, 309-327.
45. Longtin, A. 1995a. Mechanisms of stochastic phase-locking. Chaos 5, 209-215.
46. Longtin, A. 1995b. Synchronization of the stochastic Fitzhugh-Nagumo equations to periodic forcing. Il Nuovo Cimento D (in press).
47. Longtin, A., Bulsara, A., Pierson, D., and Moss, F. 1994. Bistability and the dynamics of periodically forced sensory neurons. Biol. Cybern. 70, 569-578.
48. Moffett, S., and Wachtel, H. 1976. Correlations between temperature effects on behavior in Aplysia and firing patterns of identified neurons. Mar. Behav. Physiol. 4, 61-74.
49. Nobile, M., Carbone, E., Lux, H. D., and Zucker, H. 1990. Temperature sensitivity of Ca currents in chick sensory neurones. Pflügers Arch. 415, 658-663.
50. Pierau, F. K., Torrey, P., and Carpenter, D. O. 1975. Effect of ouabain and potassium-free solution on mammalian thermosensitive afferents in vitro. Pflügers Arch. 359, 349-356.
51. ++ on bursting neurons: A modeling study. Biophys. J. 21, 217-237.
52. Plant, R. E. 1981. Bifurcation and resonance in a model for bursting nerve cells. J. Math. Biol. 11, 15-32.
53. Plant, R. E., and Kim, M. 1976. Mathematical description of a bursting pacemaker neuron by a modification of the Hodgkin-Huxley equations. Biophys. J. 16, 227-244.
54. Poulos, D. A. 1981. Central processing of cutaneous temperature information. Fed. Proc. 40, 2825-2829.
55. Rinzel, J. 1987. A formal classification of bursting mechanisms in excitable systems. In Mathematical Topics in Population Biology, Morphogenesis and Neurosciences, Teramoto, E., and Yamaguti, M., eds., Lecture Notes in Biomathematics Vol. 71, pp. 267-281. Springer, New York.
56. Rinzel, J., and Lee, Y. S. 1986. In Nonlinear Oscillations in Biology and Chemistry, H. G. Othmer, ed., Lecture Notes in Biomathematics Vol. 66, pp. 19-33. Springer-Verlag, Berlin.
57. Rinzel, J., and Lee Y. S. 1987. Dissection of a model for neuronal parabolic bursting. J. Math. Biol. 25, 653-675.
58. Rose, J., Brugge, J., Anderson, D., and Hind, J. 1967. Phase-locked response to low frequency tones in single auditory fibers of the squirrel monkey. J. Neurophysiol. 30, 769-793.
59. Schäfer, K., Braun, H. A., and Hensel, H. 1982. Static and dynamic activity of cold receptors at various calcium levels. J. Neurophysiol. 47, 1017-1028.
60. Schäfer, K., Braun, H. A., and Rempe, L. 1988. Classification of a calcium conductance in cold receptors. Prog. Brain Res. 74, 29-36.
61. Schäfer, K., Braun, H. A., and Rempe, L. 1990. Mechanisms of sensory transduction in cold receptors. In Thermoreception and Thermoregulation, J. Bligh and K. Voigt, eds., pp. 30-36. Springer-Verlag, Berlin.
62. Scheich, H., Bullock, T. H., and Hamstra, R. H. Jr. 1973. Coding properties of two classes of afferent nerve fibers: High-frequency electroreceptors in the electric fish, Eigenmannia. J. Neurophysiol. 36, 39-60.
63. Shadlen, M. N., and Newsome, W. T. 1994. Noise, neural codes and cortical organization. Curr. Opin. Neurobiol. 4, 569-579.
64. Sigeti, D., and Horsthemke, W. 1989. Pseudo-regular oscillations induced by external noise. J. Stat. Phys. 54, 1217-1222.
65. Spekreijse, H. 1969. Rectification in the goldfish retina: Analysis by sinusoidal and auxiliary stimulation. Vision Res. 9, 1461-1472.
66. Stevens, C. F. 1972. Inferences about membrane properties from electrical noise measurements. Biophys. J. 12, 1028-1047.
67. Usher, M., Stemmler, M., Koch, C., and Olami, Z. 1994. Network amplification of local fluctuations causes high spike rate variability, fractal patterns and oscillatory local field potentials. Neural Comp. 5, 795-836.
68. Wiederhold, M. L., and Carpenter, D. O. 1982. In Cellular Pacemakers. Vol. 2: Function in Normal and Diseased States, D. O. Carpenter, ed., pp. 27-58. Wiley-Interscience, New York.
69. Willis, J. A., Gaubatz, G. L., and Carpenter, D. O. 1974. The role of the electrogenic sodium pump in modulation of pacemaker discharge of Aplysia neurons. J. Cell. Physiol. 84, 463-471.
70. Wilson, W. A., and Wachtel, H. 1974. Negative resistance characteristic essential for the maintenance of slow oscillations in bursting neurons. Science 186, 932-934.