Effects of noise on the dynamics of biological neuron models

Advances in Soft Computing

Volumn , Issue AISC, 2005, Pages 61-69

  Mishra, Deepak ^a   Yadav, Abhishek ^a   Ray, Sudipta ^a   Kalra, Prem K ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84878780267     PISSN: 16153871     EISSN: 18600794     Source Type: Book Series    
DOI: 10.1007/3-540-32391-0_14     Document Type: Conference Paper

References (19)

1. Gerstner, W., and Kistler, W. M. Spiking Neuron Models, Single Neurons, Populations, Plasticity. Cambridge University Press (2002).
2. Longtin, A. Effect of noise on the tuning of excitable systems. Chaos Solitions and Fractals, 11 (2000), 1835-1848.
3. Casado, J. M., and Baltanas, J. P. Reliability of spike timing in a neuron model. International Journal of Bifurcation and Chaos, 14 (2004), 2061-2068.
4. Baltanas, J. P., and Casado, J. M. Noise-induced resonance in the Hindmarsh- Rose neuronal model. Physical review E, 65 (2002).
5. Acoust, J. Spike-rate intensity functions of cat cortical neurons studied with combined tone-noise stimuli. Society Am., 80 (1986), 177-187.
6. Longtin, A., Bulsara, A., and Moss, F. Time-interval sequences in bistable systems and the noise-induced transmission of information by sensory neurons. Phys. Rev. Lett. 67 (1991), 656.
7. Lindner, B., Longtin, A., and Bulsara, A. Analytic Expressions for Rate and CV of a Type I Neuron Driven by White Gaussian Noise. Neural Computation, 15 (2003), 1761-1788.
8. Escalera, G. J., Rivera, M., Eiswirth, M., and Parmananda, P. Effects of noise near a homoclinic bifurcation in an electrochemical system. Physical Review E, 70 (2004).
9. Manwani, A. and Koch, C. Detecting and estimating signals in noisy cable structures, I: Neuronal noise sources. Neural Comput., 11 (1999), 1797-1829.
10. White, J. A., Rubinstein, J. T., and Kay, A. R. Channel noise in neurons. Trends Neurosci., 23 (2000), 131-137.
11. Benzi, R., Sutera, A., and Vulpiani, A. The Mechanism of Stochastic Resonance. J. Phys. A, 14 (1981), L453-L457.
12. Bulsara, A. R. and Gammaitoni, L. Tuning in to Noise. Phys. Today 49 (1996), 39-45.
13. Platen, E. An introduction to numerical method for stochastic differential equations. Acta Numerica, (1999), 197-246.
14. Higham, D. J. An algorithmic introduction to numerical simulation of stochastic differential equations. Research Report, University of Strathlyde Mathematics, 26 (2000).
15. Hodgkin, A., and Huxley, A. A quantitative description of membrane current and its application to conduction and excitation in nerve. Journal of Physcilogv, London, 117 (1952), 500-544.
16. Nagumo, J., Arimoto, S., and Yosizawa, S. An active pulse transmission line simulating nerve axon. Proc. IRE, 50 (1962).
17. FitzHugh, R. Mathematical models for excitation and propagation in nerve. Biological Engineering (1969).
18. Koch, C. Biophysics of computation, Oxford University Press.
19. Dyan, P., and Abbott, L.F. Theoretical neuroscience: computational and mathematical modeling of neural systems. The MIT Press, Masachusatts.