open access

Vol 77, No 2 (2018)
Original article
Submitted: 2018-04-17
Accepted: 2018-04-23
Published online: 2018-05-09
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Memory and forgetting processes with the firing neuron model

D. Świetlik1, J. Białowąs, A. Kusiak, D. Cichońska
·
Pubmed: 29802714
·
Folia Morphol 2018;77(2):221-233.
Affiliations
  1. Intrafaculty College of Medical Informatics and Biostatistics, Medical University of Gdańsk, 1 Debinki St., 80-211 Gdańsk, Poland

open access

Vol 77, No 2 (2018)
ORIGINAL ARTICLES
Submitted: 2018-04-17
Accepted: 2018-04-23
Published online: 2018-05-09

Abstract

The aim of this paper is to present a novel algorithm for learning and forgetting within a very simplified, biologically derived model of the neuron, called firing cell (FC). FC includes the properties: (a) delay and decay of postsynaptic potentials, (b) modification of internal weights due to propagation of postsynaptic potentials through the dendrite, (c) modification of properties of the analog weight memory for each input due to a pattern of long-term synaptic potentiation. The FC model could be used in one of the three forms: excitatory, inhibitory, or receptory (gan­glion cell). The computer simulations showed that FC precisely performs the time integration and coincidence detection for incoming spike trains on all inputs. Any modification of the initial values (internal parameters) or inputs patterns caused the following changes of the interspike intervals time series on the output, even for the 10 s or 20 s real time course simulations. It is the basic evidence that the FC model has chaotic dynamical properties. The second goal is the presentation of various nonlinear methods for analysis of a biological time series. (Folia Morphol 2018; 77, 2: 221–233)

Abstract

The aim of this paper is to present a novel algorithm for learning and forgetting within a very simplified, biologically derived model of the neuron, called firing cell (FC). FC includes the properties: (a) delay and decay of postsynaptic potentials, (b) modification of internal weights due to propagation of postsynaptic potentials through the dendrite, (c) modification of properties of the analog weight memory for each input due to a pattern of long-term synaptic potentiation. The FC model could be used in one of the three forms: excitatory, inhibitory, or receptory (gan­glion cell). The computer simulations showed that FC precisely performs the time integration and coincidence detection for incoming spike trains on all inputs. Any modification of the initial values (internal parameters) or inputs patterns caused the following changes of the interspike intervals time series on the output, even for the 10 s or 20 s real time course simulations. It is the basic evidence that the FC model has chaotic dynamical properties. The second goal is the presentation of various nonlinear methods for analysis of a biological time series. (Folia Morphol 2018; 77, 2: 221–233)

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Keywords

spiking neuron model, learning, long-term synaptic potentiation, forgetting, nonlinear time series analysis

About this article
Title

Memory and forgetting processes with the firing neuron model

Journal

Folia Morphologica

Issue

Vol 77, No 2 (2018)

Article type

Original article

Pages

221-233

Published online

2018-05-09

Page views

1229

Article views/downloads

929

DOI

10.5603/FM.a2018.0043

Pubmed

29802714

Bibliographic record

Folia Morphol 2018;77(2):221-233.

Keywords

spiking neuron model
learning
long-term synaptic potentiation
forgetting
nonlinear time series analysis

Authors

D. Świetlik
J. Białowąs
A. Kusiak
D. Cichońska

References (56)
  1. Babinec P, Kučera M, Babincová M. Global characterization of time series using fractal dimension of corresponding recurrence plots: from dynamical systems to heart physiology. Harmon Fractal Image Anal. 2005; 1: 87–93.
  2. Barrio R, Martínez MA, Serrano S, et al. Macro- and micro-chaotic structures in the Hindmarsh-Rose model of bursting neurons. Chaos. 2014; 24(2): 023128.
  3. Bialowas J, Grzyb B, Poszumski P. Firing Cell: An Artificial Neuron with Long-Term Synaptic Potentiation Capacity. 2005 International Conference on Neural Networks and Brain. 2005; 3.
  4. Bialowas J, Grzyb B, Poszumski P. Firing cell: an artificial neuron with a simulation of long-term-potentiation-related memory. ISAROB. 2005; 11: 731–734.
  5. Bliss TVP, Collingridge GL, Morris RGM. Synaptic plasticity in health and disease: introduction and overview. Philos Trans R Soc Lond B Biol Sci. 2014; 369(1633): 20130129.
  6. Bliss TV, Collingridge GL. A synaptic model of memory: long-term potentiation in the hippocampus. Nature. 1993; 361(6407): 31–39.
  7. Bliss T, Lømo T. Long-lasting potentiation of synaptic transmission in the dentate area of the anaesthetized rabbit following stimulation of the perforant path. J Physiol. 1973; 232(2): 331–356.
  8. Borges RR, Borges FS, Lameu EL, et al. Effects of the spike timing-dependent plasticity on the synchronisation in a random Hodgkin–Huxley neuronal network. Commun Nonlinear Sci Numer Simul. 2016; 34: 12–22.
  9. Bower JM, Beeman D. The Book of Genesis - Exploring Realistic Neural Models with the GEneral NEural SImulation System. Genesis. 2003; 2003.
  10. Brea J, Gerstner W. Does computational neuroscience need new synaptic learning paradigms? Curr Opin Behav Sci. 2016; 11: 61–66.
  11. Brette R, Rudolph M, Carnevale T, et al. Simulation of networks of spiking neurons: a review of tools and strategies. J Comput Neurosci. 2007; 23(3): 349–398.
  12. Buonomano DV, Maass W. State-dependent computations: spatiotemporal processing in cortical networks. Nat Rev Neurosci. 2009; 10(2): 113–125.
  13. Clopath C, Büsing L, Vasilaki E, et al. Connectivity reflects coding: a model of voltage-based STDP with homeostasis. Nat Neurosci. 2010; 13(3): 344–352.
  14. Clopath C, Ziegler L, Vasilaki E, et al. Tag-trigger-consolidation: a model of early and late long-term-potentiation and depression. PLoS Comput Biol. 2008; 4(12): e1000248.
  15. Diano M, Tamietto M, Celeghin A, et al. Dynamic changes in amygdala psychophysiological connectivity reveal distinct neural networks for facial expressions of basic emotions. Sci Rep. 2017; 7: 45260.
  16. Duch W. Therapeutic implications of computer models of brain activity for Alzheimer disease, Journal of Medical Informatics and Technologies. 2000; 5: 27–34.
  17. Duch W. Computational models of dementia and neurological problems. Methods Mol Biol. 2007; 401: 305–336.
  18. Feldman DE. The spike-timing dependence of plasticity. Neuron. 2012; 75(4): 556–571.
  19. Finkel L. Neuroengineering Models of Brain Disease. Annu Rev Biomed Eng. 2000; 2(1): 577–606.
  20. George D, Hawkins J. Towards a mathematical theory of cortical micro-circuits. PLoS Comput Biol. 2009; 5(10): e1000532.
  21. Gerstner W, Kistler WM. Spiking neuron models: single neurons, populations. Plasticity. Book. 2002; 494.
  22. Grzyb B, Bialowas J. Modeling of LTP-related phenomena using an artificial firing cell. Lecture Notes in Computer Science. 2006; 4232: 90–96.
  23. Hasselmo ME, McClelland JL. Neural models of memory. Curr Opin Neurobiol. 1999; 9(2): 184–188.
  24. Hendrickson P, Yu G, Song D, et al. Interactions between inhibitory interneurons and excitatory associational circuitry in determining spatio-temporal dynamics of hippocampal dentate granule cells: a large-scale computational study. Front Syst Neurosci. 2015; 9.
  25. Hines M. A program for simulation of nerve equations with branching geometries. Int J Biomed Comput. 1989; 24(1): 55–68.
  26. Hodgkin AL, Huxley AFA. Quantitative description of membrane current and its application to conduction and excitation in nerves. J Physiol. 1952; 117: 500–554.
  27. Izhikevich EM. Which model to use for cortical spiking neurons? IEEE Trans Neural Netw. 2004; 15(5): 1063–1070.
  28. Kang DH, Jun HG, Ryoo KC, et al. Emulation of spike-timing dependent plasticity in nano-scale phase change memory. Neurocomputing. 2015; 155: 153–158.
  29. Kasabov N. To spike or not to spike: a probabilistic spiking neuron model. Neural Netw. 2010; 23(1): 16–19.
  30. Korn H, Faure P. Is there chaos in the brain? II. Experimental evidence and related models. Comptes Rendus Biol. 2003; 326(9): 787–840.
  31. Kreuz T, Haas JS, Morelli A, et al. Measuring spike train synchrony. J Neurosci Methods. 2007; 165(1): 151–161.
  32. La Barbera S, Vuillaume D, Alibart F. Filamentary switching: synaptic plasticity through device volatility. ACS Nano. 2015; 9(1): 941–949.
  33. Langenbeck B. Geräuschaudiometrische Diagnostik. Die Absolutauswertung: Archiv für 0hren-, Nasen- und Kehlkopf-Heilkunde. 1950; 158: 458–471.
  34. Llorens-Marti­n M, Blazquez-Llorca L, Benavides-Piccione R, et al. Selective alterations of neurons and circuits related to early memory loss in Alzheimer's disease. Front Neuroanat. 2014; 8.
  35. Malenka RC, Bear MF. LTP and LTD: an embarrassment of riches. Neuron. 2004; 44(1): 5–21.
  36. Marwan N, Carmen Romano M, Thiel M, et al. Recurrence plots for the analysis of complex systems. Physics Reports. 2007; 438(5-6): 237–329.
  37. Mohemmed A, Schliebs S, Matsuda S, et al. Span: spike pattern association neuron for learning spatio-temporal spike patterns. Int J Neural Syst. 2012; 22(4): 1250012.
  38. Morie T, Matsuura T, Nagata M, et al. A multinanodot floating-gate MOSFET circuit for spiking neuron models. IEEE Transactions On Nanotechnology. 2003; 2(3): 158–164.
  39. Nagornov R, Osipov G, Komarov M, et al. Mixed-mode synchronization between two inhibitory neurons with post-inhibitory rebound. Commun Nonlinear Sci Numer Simul. 2016; 36: 175–191.
  40. Nobukawa S, Nishimura H, Yamanishi T. Chaotic Resonance in Typical Routes to Chaos in the Izhikevich Neuron Model. Sci Rep. 2017; 7(1): 1331.
  41. Nobukawa S, Nishimura H, Yamanishi T, et al. Analysis of Chaotic Resonance in Izhikevich Neuron Model. PLoS One. 2015; 10(9): e0138919.
  42. Nowotny T, Rabinovich MI, Abarbanel HDI. Spatial representation of temporal information through spike-timing-dependent plasticity. Phys Rev E Stat Nonlin Soft Matter Phys. 2003; 68(1 Pt 1): 011908.
  43. Pereira A, Ferreira Almada L. Conceptual spaces and consciousness: integrating cognitive and affective processes. Int J Mach Conscious. 2011; 03(01): 127–143.
  44. Raymond CR. LTP forms 1, 2 and 3: different mechanisms for the "long" in long-term potentiation. Trends Neurosci. 2007; 30(4): 167–175.
  45. Saïghi S, Mayr C, Serrano-Gotarredona T, et al. Plasticity in memristive devices for spiking neural networks. Front Neurosci. 2015; 9.
  46. Segundo J. Nonlinear dynamics of point process systems and data. Int J Bifurc Chaos. 2003; 13(08): 2035–2116.
  47. Shen L, Wang M, Shen R. Affective e-Learning: Using “emotional” data to improve learning in pervasive learning environment related work and the pervasive e-learning platform. Educ Technol Soc. 2009; 12: 176–189.
  48. Shibata T, Ohmi T. An intelligent MOS transistor featuring gate-level weighted sum and threshold operations. International Electron Devices Meeting [Technical Digest]. IEDM. 1991 : 919–922.
  49. Shibata T, Ohmi T. Neuron MOS binary-logic integrated circuits. I. Design fundamentals and soft-hardware-logic circuit implementation. IEEE Transactions on Electron Devices. 1993; 40(3): 570–576.
  50. Siekmeier PJ, Hasselmo ME, Howard MW, et al. Modeling of context-dependent retrieval in hippocampal region CA1: implications for cognitive function in schizophrenia. Schizophr Res. 2007; 89(1-3): 177–190.
  51. Sikora MA, Gottesman J, Miller RF. A computational model of the ribbon synapse. J Neurosci Methods. 2005; 145(1-2): 47–61.
  52. Sjöström PJ, Rancz EA, Roth A, et al. Dendritic excitability and synaptic plasticity. Physiol Rev. 2008; 88(2): 769–840.
  53. Softky W. Sub-millisecond coincidence detection in active dendritic trees. Neuroscience. 1994; 58(1): 13–41.
  54. Traub RD, Contreras D, Cunningham MO, et al. Single-column thalamocortical network model exhibiting gamma oscillations, sleep spindles, and epileptogenic bursts. J Neurophysiol. 2005; 93(4): 2194–2232.
  55. Uhlhaas PJ, Singer W. Neural synchrony in brain disorders: relevance for cognitive dysfunctions and pathophysiology. Neuron. 2006; 52(1): 155–168.
  56. Xu Nl. Coincidence detection of synaptic inputs is facilitated at the distal dendrites after long-term potentiation induction. J Neurosci. 2006; 26(11): 3002–3009.

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