CFP last date
20 May 2024
Reseach Article

Spiking Patterns of Hodgkin-Huxley Model in Alzheimer’s Disease: Effects Caused by Noise Current

by Shruti Gupta, Jyotsna Singh
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 94 - Number 11
Year of Publication: 2014
Authors: Shruti Gupta, Jyotsna Singh
10.5120/16390-5971

Shruti Gupta, Jyotsna Singh . Spiking Patterns of Hodgkin-Huxley Model in Alzheimer’s Disease: Effects Caused by Noise Current. International Journal of Computer Applications. 94, 11 ( May 2014), 33-38. DOI=10.5120/16390-5971

@article{ 10.5120/16390-5971,
author = { Shruti Gupta, Jyotsna Singh },
title = { Spiking Patterns of Hodgkin-Huxley Model in Alzheimer’s Disease: Effects Caused by Noise Current },
journal = { International Journal of Computer Applications },
issue_date = { May 2014 },
volume = { 94 },
number = { 11 },
month = { May },
year = { 2014 },
issn = { 0975-8887 },
pages = { 33-38 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume94/number11/16390-5971/ },
doi = { 10.5120/16390-5971 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:17:24.323803+05:30
%A Shruti Gupta
%A Jyotsna Singh
%T Spiking Patterns of Hodgkin-Huxley Model in Alzheimer’s Disease: Effects Caused by Noise Current
%J International Journal of Computer Applications
%@ 0975-8887
%V 94
%N 11
%P 33-38
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper we study the effect of noise on HH Model. Small-world, regular and random neural networks are the types of HH neuronal networks, which we study in spiking synchronization. External noise and Sub threshold stimulus are subjected to all the neurons. In neuronal membranes we study biophysically realistic HH neurons with intensity of intrinsic noise via voltage gated ion channels. There is an optimal strength of noise that is found in each of all the neuronal networks to induce maximal spiking synchronization. We further study that there is a range of synaptic conductance that is present in each of neuronal networks to induce the effect that an optimal strength maximizes the spiking synchronization of noise. Also, the effect diminishes if the synaptic conductance becomes small or large. The synaptic conductance decreases to maximize the effect as the connections between neurons increases.

References
  1. Huang, L. , Feng, R. , Wang, M. ,(2004). Synchronization of chaotic systems via nonlinear control. Physical Letter A, 320, 271-275.
  2. Dibner, C. , Schibler, U. , Albrecht, U. ,(2010). The mammalian circadian timing system: organization and coordination of central and peripheral clocks. Annual Review of Physiology, 72, 517-549.
  3. Rossoni, E. , Chen, Y. , Ding, M. ,Feng, J. ,(2005). Stability of synchronous oscillations in a system of Hodgkin-huxley neuron with delayed diffusive and pulsed coupling. Physical Review E 71, 061904.
  4. Ward, L. M. ,(2003). Trends in Cognitive Sciences. Journal of Elsevier,Vol. 7, 553.
  5. Melloni. L. , Molina. C. , Pena. M. , Torres. D. , Singer. W. , Rodriguez. E. ,(2007). Synchronization of neuronal activity across cortical areas correlates with conscious perceptron. Neuroscience, 27(11), 2858-2868.
  6. Wu, X. , Chen, X. , Li, Z. , Han, S. , Zhang, D. ,(2007). Binding of verbal and spatial information in human working memory involves large-scale neural synchronization at theta frequency. NeuroImage, 35, 1654-1662.
  7. Klimesch, W. , Freunberger, R. ,Sauseng, P. ,(2010). Oscillatory behaviour of process binding in memory. NeuroscienceBiobehavioral Review, 34, 1002-1014.
  8. Arecchi, F. T. ,(2004). Chaotic neuron dynamics, synchronization and feature binding. Physica A, 338, 218-237.
  9. Watts, D, J. , Strogatz, S, H. , (1998). Collective dynamics of 'small-world' networks. Nature 393, 440-442.
  10. Barabasi, A, L. , Albert, R. , (1999). Emergence of scaling in random networks. Science, 286, 509-512.
  11. Basset,D,S. , Bullmore, E. , (2006). Small world brain networks. The Neuroscientist, 12, 512-523.
  12. Lago-Fernandez, L, F. , Huerta, R. , Corbacho, F. , Siguenza, J, A. , (2000). Fast response and temporal coherent oscillations in Small-world networks. Physical Review Letters, 84, 2758.
  13. Timme, M. , Wolf, F. , Geisel, T. ,(2002). Computation byswitching in complex network of states. Physical Review Letter, 89, 258701.
  14. Gelenbe, E. ,Timotheou, S. , (2008). Random neural networks with synchronized interactions. Neural Computation, 20, 2308-2324.
  15. Borgers, C. ,Kopell, N. ,(2003). Synchronization in networks of excitatory and inhibitory neurons with spare, random connectivity. Neural Computation, 15, 509-538.
  16. Zeng, S. Y. , Tang, Y. , Jung, P. , (2007). Physical Review E, 76, 011905.
  17. Hanggi, P. (2002). Chem. Phys. Chem. , 3, 285-290.
  18. Lindner, B. , Garcia-Ojalvo, J. , Neiman, A. ,Schimansky-Geier, L. ,(2004). Effects of noise in excitable systems. Physical Reports, 392, 321-424.
  19. Liu S B, Wu Y, Hao Z W, Li Y J and Jia N (2012). Acta Phys. Sin. 61 020503 (in Chinese)
  20. Xu, C. , Kang, Y. M. (2011). Acta Phys. Sin. 60, 108701 (in Chinese).
  21. Liu, S. J. , Wang, Q. , Liu, B. , Yan, S. W. ,Fumihiko, S. (2011). Noise transmission and delay induced stochastic oscillations in biochemical network motifs. Chinese Physics B, 20, 128703.
  22. Li, L. , Jin, Z. L. , Li, B. ,(2011). Acta Phys. Sin. 60, 048703 (in Chinese)
  23. Ozer, M. , Uzuntarla, M. , (2008). Effects of the network structure and coupling strength on the noise-induced response delay of a neuronal network. Physical letter A, 372, 4603-4609.
  24. Bezrukov, S. M. , Vodyanov, I. (1995). Noise-induced enhancement of signal transduction across voltage-dependent ion channels, Nature 378(6555), 362-364.
  25. Levin, J. E. , Miller, J. P. , (1996). Broadband neural encoding in the cricket cercal sensory system enhanced by stochastic resonance. Nature 380(6750), 165-168.
  26. Gong, Y. , Wang, M. , Zhou, Z. , Xin, H. (2005) Chem. Phys. Chem. 6, 1042.
  27. Ozer, M. , Uzuntarla, M. , Perc, M. , Graham, L. J. (2009). Spike latency and jitter of neuronal membrane patches with stochastic Hodgkin–Huxley channels. Physical Letter A, 261, 83-92.
  28. Han, F. , Lu, Q. S. , Wiercigroch, M. ,Ji, Q. B. (2009). Complete and phase synchronization in a heterogeneous small-world neuronal network. Chinese Physics B, 18, 482.
  29. Tang, Y. ,Zhong, H. , Fang, J. (2008). Synchronization of stochastically hybrid coupled neural networks with coupling discrete and distributed time-varying delays. Chinese Physics B, 17, 4080.
  30. Shi, X. , Lu, Q. (2005). Coherence resonance and synchronization of Hindmarsh-Rose neurons with noise. Chinese Physics, 14(06), 77.
  31. Yu, Y. , Wang, W. , Wang, J. , Liu, F. (2001). Resonance-enhanced signal detection and transduction in the Hodgkin-Huxley neuronal systems. Phys. Rev. E 63, 021907.
  32. Ozer, M. , Perc, M. ,Uzuntarla,M. (2009). Stochastic resonance on Newman–Watts networks of Hodgkin–Huxley neurons with local periodic driving. Physical Letter A 373, 964-968.
  33. Zheng-Zhen, Z. , Shang-You , Z. , Wen-Yan, T. , Jin-Lin, H. , Shao-Wen, Z. , Wei-Lian, N. , Yi, Q. , el al. (2012). Spiking synchronization regulated by noise in three types of Hodgkin-Huxley neuronal networks. Chinese Physics B, Vol. 21, No. 10 108701.
  34. Zeng, S. , Jung, P. ,(2004). Spiking synchronization of ion channel clusters on an axon. Physical Review E 70, 011903.
  35. Hodgkin, A. L. , 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.
  36. Skaugen, E. , Walloe, L. ,(1979). Firing behaviour in a stochastic nerve membrane model based upon the Hodgkin-Huxley equations. Acta Physiol. Scand. 107(4), 343-363.
  37. Rubinstein, J. T. , (1995). Threshold fluctuations in an N-sodium channel model of the node of Ranvier. Biophysical, 68(3), 779-785.
  38. Chow, C. C. , White, J. A. , (1996). Spontaneous action potentials due to channel fluctuations. Biophys. J. 71(6), 3013-3021.
  39. Schneidman, E. , Freedman, B. ,Segev, I. , (1998). Ion Channel Stochasticity May Be Critical in Determining the Reliability and Precision of Spike Timing. Neural Comput. 10, 1679-1703.
  40. White, J. A. , Rubinstein, J. T. , Kay, A. R. (2000). Channel noise in neurons. Trends Neurosci. 23(3), 131-137.
  41. Ozer, M. ,Ekmekci, N. H. , (2005). Phys. Lett. A338 150.
  42. Mino, H. , Rubinstein, J. T. , White, J. A. (2002). Comparison of algorithms for the simulation of action potentials with stochastic sodium channels. Ann. Biomed. Eng. 30(4), 578-587.
Index Terms

Computer Science
Information Sciences

Keywords

External Current noise current Strength Gaussian white noise Alzheimer's disease