Spike timing precision and neural error correction: Local behavior

Neural Computation

Volumn 17, Issue 7, 2005, Pages 1577-1601

  Stiber, Michael ^a  

^a UNIVERSITY OF WASHINGTON BOTHELL   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACTION POTENTIAL; ARTICLE; METHODOLOGY; NERVE CELL NETWORK; PHYSIOLOGY; TIME;

ACTION POTENTIALS; NERVE NET; RESEARCH DESIGN; TIME FACTORS;

EID: 18744389199     PISSN: 08997667     EISSN: None     Source Type: Journal    
DOI: 10.1162/0899766053723069     Document Type: Article

References (48)

1. Abraham, R., & Shaw, C. (1984). Dynamics - The geometry of behavior. Santa Cruz, CA: Aerial Press.
2. Allen, C., & Stevens, C. (1994). An evaluation of causes for unreliability of synaptic transmission. Proc. Natl. Acad. Sci. USA, 91, 10380-10383.
3. Bair, W. (1999). Spike timing in the mammalian visual system. Curr. Opin. Neurobiol., 9(4), 447-453.
4. Beierholm, U., Nielsen, C. D., Ryge, J., Alstrøm, P., & Kiehn, O. (2001). Characterization of reliability of spike timing in spinal interneurons during oscillating inputs. J. Neurophysiol., 86, 1858-1868.
5. Bialek, W., Rieke, F., de Ruyter van Steveninck, R. R., & Warland, D. (1991). Reading a neural code. Science, 252, 1854-1857.
6. Borst, A., & Theunissen, F. (1999). Information theory and neural coding. Nature Neurosci., 2(11), 947-957.
7. Bryant, H., Marcos, A. R., & Segundo, J. (1973). Correlations of neuronal spike discharges produced by monosynaptic connections and by common inputs. J. Neurophysiol, 36, 205-225.
8. Buño, W., Fuentes, J., & Barrio, L. (1987). Modulation of pacemaker activity by IPSP and brief length perturbations in the crayfish stretch receptor. J. Neurophysiol., 57, 819-834.
9. Cover, T., & Thomas, J. (1991). Elements of information theory. New York: Wiley.
10. Cox, D., & Isham, V. (1980). Point processes. London: Chapman and Hall.
11. Dan, Y., Alonso, J.-M., Usrey, W. M., & Reid, R. C. (1998). Coding of visual information by precisely correlated spikes in the lateral geniculate nucleus. Nature Neurosci., 1(6), 501-507.
12. Edman, A., Gestrelius, S., & Grampp, W. (1987). Analysis of gated membrane currents and mechanisms of firing control in the rapidly adapting lobster stretch receptor neurone. J. Physiol., 384, 649-669.
13. Ermentrout, G., & Rinzel, J. (1984). Beyond a pacemaker's entrainment limit: Phase walk-through. Am. J. Physiol., 246, R102-106.
14. Fuhrmann, G., Segev, I., Markram, H., & Tsodyks, M. (2002). Coding of temporal information by activity-dependent synapses. J. Neurophysiol., 87, 140-148.
15. Glass, L., & Mackey, M. (1988). From clocks to chaos. Princeton, NJ: Princeton University Press.
16. Hindmarsh, A. (1983). ODEPACK: A systematized collection of ODE solvers. In R. Stepleman (Ed.), Scientific computing (pp. 55-64). Amsterdam: North-Holland.
17. Katz, B. (1966). Nerve, muscle, and synapse. New York: McGraw-Hill.
18. Kohn, A., da Rocha, A., & Segundo, J. (1981). Presynaptic irregularity and pacemaker inhibition. Biol. Cybern., 41, 5-18.
19. Kohn, A., & Segundo, J. (1983). Neuromime and computer simulations of synaptic interactions between pacemakers: Mathematical expansions of existing models. J. Theoret. Neurobiol., 2, 101-125.
20. Lestienne, R. (2001). Spike timing, synchronization and information processing on the sensory side of the central nervous system. Prog. Neurobiol., 65, 545-591.
21. Maršálek, P., Koch, C., & Maunsell, J. (1997). On the relationship between synaptic input and spike output jitter in individual neurons. Proc. Natl. Acad. Sci. USA, 94, 735-740.
22. Rapp, P., Zimmerman, I., Albano, A., deGuzman, G., & Greenbaun, N. (1985). Dynamics of spontaneous neural activity in the simian motor cortex: The dimension of chaotic neurons. Phys. Lett. A, 110, 335-338.
23. Ruelle, D. (1989). Elements of differentiable dynamics and bifurcation theory. Orlando, FL: Academic Press.
24. Segundo, J. (1979). Pacemaker synaptic interactions: Modeled locking and paradoxical features. Biol. Cybern., 35, 55-62.
25. Segundo, J. P., Altshuler, E., Stiber, M., & Garfinkel, A. (1991a). Periodic inhibition of living pacemaker neurons: I. Locked, intermittent, messy, and hopping behaviors. Int. J. Bifurcation and Chaos, 2(3) 549-581.
26. Segundo, J. P., Altshuler, E., Stiber, M., & Garfinkel, A. (1991b). Periodic inhibition of living pacemaker neurons: II. Influences of driver rates and transients and of non-driven post-synaptic rates. Int. J. Bifurcation and Chaos, 1(4), 873-890.
27. Segundo, J., Moore, G., Stensaas, L., & Bullock, T. (1963). Sensitivity of neurones in aplysia to temporal pattern of arriving impulses. J. Exp. Biol., 40, 643-667.
28. Segundo, J., Perkel, D., Wyman, H., Hegstad, H., & Moore, G. (1968). Input-output relations in computer-simulated nerve cells: Influence of the statistical properties, strength, number, and inter-dependence of excitatory pre-synaptic terminals. Kybernetic, 4, 157-171.
29. Segundo, J., Stiber, M., Altshuler, E., & Vibert, J.-F. (1994). Transients in the inhibitory driving of neurons and their post-synaptic consequences. Neurosci., 62(2), 459-480.
30. Segundo, J., Stiber, M., Vibert, J.-F., & Hanneton, S. (1995). Periodically modulated inhibition and its post-synaptic consequences. II. Influence of pre-synaptic slope, depth, range, noise and of post-synaptic natural discharges. Neurosci., 68(3), 693-719.
31. Segundo, J., Tolkunov, B., & Wolfe, G. (1976). Relation between trains of action potentials across an inhibitory synapse: Influence of presynaptic irregularity. Biol. Cybern., 24, 169-179.
32. Segundo, J., Vibert, J.-F., Pakdaman, K., Stiber, M., & Diez Martinez, O. (1994). Noise and the neurosciences: A long history, a recent revival and some theory. In K. Pribram (Ed.), Origins: Brain and self organization. Mahwah, NJ: Erlbaum.
33. Segundo, J., Vibert, J.-F., & Stiber, M. (1998). Periodically modulated inhibition of living pacemaker neurons. III. The heterogeneity of the postsynaptic spike trains and how control parameters affect it. Neurosci., 87(1), 15-47.
34. Segundo, J., Vibert, J.-F., Stiber, M., & Hanneton, S. (1993). Synaptic coding of periodically modulated spike trains. In Proc. ICNN (pp. 58-63). Parsippany Hills, NJ: IEEE.
35. Segundo, J., Vibert, J.-R, Stiber, M., & Hanneton, S. (1995). Periodically modulated inhibition and its post-synaptic consequences. I. General features. Influences of modulation frequency. Neurosci., 68(3), 657-692.
36. Shannon, C. E. (1948). A mathematical theory of communication. Bell System Technical Journal, 27, 379-423, 623-656.
37. Shannon, C. E., & Weaver, W. (1949). The mathematical theory of communication. Urbana: University of Illinois Press.
38. Stiber, M. (2003). Non-information-maximizing neural coding. In Proc. IJCNN'03. Parsippany Hills, NJ: IEEE.
39. Stiber, M., & Holderman, T. (2004a). Global behavior of neural error correction. In Proc. IJCNN. Parsippany Hills, NJ: IEEE.
40. Stiber, M., & Holderman, T. (2004b). Stochastic-resonance-like effects in neural error correction. Manuscript in preparation, University of Washington, Bothell.
41. Stiber, M., Ieong, R., & Segundo, J. (1997). Responses to transients in living and simulated neurons. IEEE Trans. Neural Networks, 8(6), 1379-1385.
42. Stiber, M., Pakdaman, K., Vibert, J.-F., Boussard, E., Segundo, J., Nomura, T., Sato, S., & Doi, S. (1996). Complex responses of living pacemaker neurons to pacemaker inhibition: A comparison of dynamical models. Biosystems, 40, 177-188.
43. Stiber, M., & Pottorf, M. (2004). Response space construction for neural error correction. In Proc. IJCNN. Parsippany Hills, NJ: IEEE.
44. Stiber, M., & Segundo, J. P. (1993). Dynamics of synaptic transfer in living and simulated neurons. In Proc. ICNN (pp. 75-80). Parsippany Hills, NJ: IEEE.
45. Thom, R. (1975). Structural stability and morphogenesis. Reading, MA: Benjamin.
46. Tiesinga, P. (2002). Precision and reliability of periodically and quasiperiodically driven integrate-and-fire neurons. Phys. Rev. E, 65(4), 041913.
47. Tiesinga, P., & Sejnowski, T. J. (2001). Precision of pulse-coupled networks of integrate-and-fire neurons. Network: Comput. Neural Syst., 12, 215-233.
48. Winfree, A. (1980). The geometry of biological time. New York: Springer-Verlag.