Reliability of spike timing in a neuron model

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 14, Issue 6, 2004, Pages 2061-2068

  Casado, J M ^a   Baltanas J P ^b  

^a UNIVERSITY OF SEVILLE   (Spain)

^b UNIVERSIDAD REY JUAN CARLOS   (Spain)

Author keywords

Encitable systems; Hopf bifurcation; Neural code; Neural computation; Reliability; Spike timing

Indexed keywords

ACOUSTIC NOISE; BIFURCATION (MATHEMATICS); COMPUTATIONAL METHODS; DYNAMICS; MATHEMATICAL MODELS; RELIABILITY; SIGNAL ENCODING; SIGNAL PROCESSING;

ENCITABLE SYSTEMS; HOPF BIFURACTION; NEURAL CODES; NEURAL COMPUTATION; SPIKE TIMING;

NEUROLOGY;

EID: 13844281172     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127404010448     Document Type: Article

References (11)

1. Bryant, H. L. & Segundo, J. P. [1976] "Spike initiation by transmembrane current: A white noise analysis," J. Physiol 260, 279-314.
2. FitzHugh, R. [1961] "Impulses and physiological states in models of nerve membrane," Biophys. J. 1, 445-466.
3. Fox, R. F., Gatland, I. R., Roy, R. & Vemuri, G. [1988] "Fast, accurate algorithm for numerical simulation of exponentially correlated noise," Phys. Rev. A38, 5938-5940.
4. Honeycutt, R. L. [1992] "Stochastic Runge-Kutta algorithms II. Colored noise," Phys. Rev. A45, 604-610.
5. Mainen, Z. F. & Sejnowski, T. J. [1995] "Reliability of spike timing in neocortical neurons," Science 268, 1503-1506.
6. Makarov, V. A., Nekorkin, V. I. & Velarde, M. G. [2001] "Spiking behavior in a noise-driven system combining oscillatory and excitatory properties," Phys. Rev. Lett. 86, 3431-3434.
7. Nagumo, J., Arimoto, S. & Yosizawa, Proc. IRE [1962] 50 in FitzHugh, R. [1962] Biological Engineering, ed. Schwan, H. P. (McGraw-Hill, NY), p. 2061.
8. Osipov, V. V. & Ponizovskaya [1998] "The nature of bursting noises, stochastic resonance and deterministic chaos in excitable neurons, " Phys. Lett. A238, 369-374.
9. Rieke, F., Warland, D., de Ruyter van Steveninck, R. & Bialek, W. [1996] Spikes. Exploring the Neural Code (MIT Press, Cambridge, MA).
10. Schneidman, E., Freedman, B. & Segev, I. [1998] "Ionchannel stochasticity may be critical in determining the reliability and precision of spike timing," Neural Comput. 10, 1679-1703.
11. Tanabe, S. & Pakdaman, K. [2001] "Dynamics of moments of FitzHugh-Nagumo neuronal models and stochastic bifurcations," Phys. Rev. E63, 031911.