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On modeling of a recurrent neural network from neural spiking data.

Cilt: 2 Sayı: 2 21 Aralık 2021
Özgür Doruk *, Mohammed Al-akam
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On modeling of a recurrent neural network from neural spiking data.

Abstract

We present a theoretical and computational work, aiming at the estimation of firing rate based excitatory and inhibitory neural network from realistic stimulus-response data. The stimulus and response recordings are taken from a previous study which performs a measurement on the H1 neurons of the order Diptera flies. The parameter estimation is performed by maximum likelihood method. As the stimulus-response data is a single recording of 20 minutes, it is segmented and individual segments are superimposed on each other to increase the statistical content of information. The true values of the model parameters are unknown as we are not using synthetic data. Because of this fact, two sample Kolmogorov-Smirnov test is applied to compare the interspiking intervals of the recorded and model responses. Estimation and analysis results are presented in tabular and graphical forms. In addition, a comparison with previous research employing a modified Fitzhugh-Nagumo model is made.

Keywords

: Firing rate based neural networks , Excitatory-inhibitory neurons , Neural spiking , Kolmogorov-Smirnov tests , Interspiking intervals

Kaynakça

  1. [1] A. L. Hodgkin and A. F. Huxley, “A quantitative description of membrane current and its application to conduction and excitation in nerve,” J Physiol-London, vol. 117, no. 4, p. 500, 1952. [Online]. Available: https://doi.org/10.1113%2Fjphysiol.1952.sp004764
  2. [2] R. FitzHugh, “Impulses and physiological states in theoretical models of nerve membrane,” Biophys J, vol. 1, no. 6, pp. 445–466, 1961.
  3. [3] C. Morris and H. Lecar, “Voltage oscillations in the barnacle giant muscle fiber,” Biophys J, vol. 35, no. 1, pp. 193–213, 1981.
  4. [4] J. L. Hindmarsh and R. Rose, “A model of neuronal bursting using three coupled first order differential equations,” Proc R Soc Lond B, vol. 221, no. 1222, pp. 87–102, 1984.
  5. [5] V. Booth, J. Rinzel, and O. Kiehn, “Compartmental model of vertebrate motoneurons for ca2+-dependent spiking and plateau potentials under pharmacological treatment,” J Neurophysiol, vol. 78, no. 6, pp. 3371– 3385, 1997.
  6. [6] R. O. DORUK, “Neuron modeling: estimating the parameters of aneuron model from neural spiking data,” Turkish Journal of Electrical Engineering & Computer Sciences, vol. 26, no. 5, pp. 2301–2314, 2018.
  7. [7] V. Mante, R. A. Frazor, V. Bonin, W. S. Geisler, and M. Carandini, “Independence of luminance and contrast in natural scenes and in the early visual system,” Nat Neurosci, vol. 8, no. 12, p. 1690, 2005.
  8. [8] T. Hosoya, S. A. Baccus, and M. Meister, “Dynamic predictive coding by the retina,” Nature, vol. 436, no. 7047, p. 71, 2005.
  9. [9] N. C. Rust, O. Schwartz, J. A. Movshon, and E. P. Simoncelli, “Spatiotemporal elements of macaque v1 receptive fields,” Neuron, vol. 46, no. 6, pp. 945–956, 2005.
  10. [10] E. H. Adelson and J. R. Bergen, “Spatiotemporal energy models for the perception of motion,” Josa a, vol. 2, no. 2, pp. 284–299, 1985.

Kaynak Göster

APA
Doruk, Ö., & Al-akam, M. (2021). On modeling of a recurrent neural network from neural spiking data. Journal of Science, Technology and Engineering Research, 2(2), 54-66. https://doi.org/10.53525/jster.999008
AMA
1.Doruk Ö, Al-akam M. On modeling of a recurrent neural network from neural spiking data. Journal of Science, Technology and Engineering Research. 2021;2(2):54-66. doi:10.53525/jster.999008
Chicago
Doruk, Özgür, ve Mohammed Al-akam. 2021. “On modeling of a recurrent neural network from neural spiking data”. Journal of Science, Technology and Engineering Research 2 (2): 54-66. https://doi.org/10.53525/jster.999008.
EndNote
Doruk Ö, Al-akam M (01 Aralık 2021) On modeling of a recurrent neural network from neural spiking data. Journal of Science, Technology and Engineering Research 2 2 54–66.
IEEE
[1]Ö. Doruk ve M. Al-akam, “On modeling of a recurrent neural network from neural spiking data”., Journal of Science, Technology and Engineering Research, c. 2, sy 2, ss. 54–66, Ara. 2021, doi: 10.53525/jster.999008.
ISNAD
Doruk, Özgür - Al-akam, Mohammed. “On modeling of a recurrent neural network from neural spiking data”. Journal of Science, Technology and Engineering Research 2/2 (01 Aralık 2021): 54-66. https://doi.org/10.53525/jster.999008.
JAMA
1.Doruk Ö, Al-akam M. On modeling of a recurrent neural network from neural spiking data. Journal of Science, Technology and Engineering Research. 2021;2:54–66.
MLA
Doruk, Özgür, ve Mohammed Al-akam. “On modeling of a recurrent neural network from neural spiking data”. Journal of Science, Technology and Engineering Research, c. 2, sy 2, Aralık 2021, ss. 54-66, doi:10.53525/jster.999008.
Vancouver
1.Özgür Doruk, Mohammed Al-akam. On modeling of a recurrent neural network from neural spiking data. Journal of Science, Technology and Engineering Research. 01 Aralık 2021;2(2):54-66. doi:10.53525/jster.999008