Distributed, layered and reliable computing nets to represent neuronal receptive fields

  • Received: 01 September 2012 Accepted: 29 June 2018 Published: 01 October 2013
  • MSC : Primary: 93B15, 93B51; Secondary: 93A30.

  • Receptive fields of retinal and other sensory neurons show a large variety of spatiotemporal linear and non linear types of responses to local stimuli.In visual neurons, these responses present either asymmetric sensitive zones or center-surround organization. In most cases, the nature of the responsessuggests the existence of a kind of distributed computation prior to the integration by the final cell which is evidently supported by the anatomy.We describe a new kind of discrete and continuous filters to model the kind of computations taking place in the receptive fields of retinal cells. To show their performancein the analysis of different non-trivial neuron-like structures, we use a computer tool specifically programmed by the authors to that effect. This tool is also extended to studythe effect of lesions on the whole performance of our model nets.

    Citation: Arminda Moreno-Díaz, Gabriel de Blasio, Moreno-Díaz Jr.. Distributed, layered and reliable computing nets to represent neuronal receptive fields[J]. Mathematical Biosciences and Engineering, 2014, 11(2): 343-361. doi: 10.3934/mbe.2014.11.343

    Related Papers:

  • Receptive fields of retinal and other sensory neurons show a large variety of spatiotemporal linear and non linear types of responses to local stimuli.In visual neurons, these responses present either asymmetric sensitive zones or center-surround organization. In most cases, the nature of the responsessuggests the existence of a kind of distributed computation prior to the integration by the final cell which is evidently supported by the anatomy.We describe a new kind of discrete and continuous filters to model the kind of computations taking place in the receptive fields of retinal cells. To show their performancein the analysis of different non-trivial neuron-like structures, we use a computer tool specifically programmed by the authors to that effect. This tool is also extended to studythe effect of lesions on the whole performance of our model nets.


    加载中
    [1] J. Physiol., 119 (1953), 69-88.
    [2] Computing, 94 (2012), 449-462.
    [3] in Computer Aided Systems Theory - EUROCAST 2011: 13th International Conference, Las Palmas de Gran Canaria, Spain, February 6-11, 2011, Revised Selected Papers, Part I, Lecture Notes in Computer Science, 6927, Springer, Berlin-Heidelberg, 2011, 25-31.
    [4] Third edition, John Wiley & Sons, Inc., New York-London-Sydney, 1968.
    [5] J. Neuriphysiol., 89, (2003), 3205-3214.
    [6] J. Physiol., 228, (1973), 115-137.
    [7] Second edition, Dover Publications, Inc., New York, 1986.
    [8] Nature, 221 (1969), 747-750.
    [9] American Scientist, 91 (2003), 28-35.
    [10] J. Neurophysiol., 16 (1953), 37-68.
    [11] in Progress in Cybernetics and Systems, Vol. VI (eds. Pichler and Trappl), Hemisphere, Washington, D.C.-London, 1982, 91-99.
    [12] Vision Res., 32 (1992), 219-228.
    [13] Annu. Rev. Neurosci., 28 (2005), 503-532.
    [14] J. Neuriphysiol., 36 (1973), 605-618.
    [15] J. Neuriphysiol., 36 (1973), 619-633.
    [16] W. H. Freeman and Company, San Francisco, 1982.
    [17] MIT Press, Cambridge, MA, 1988.
    [18] Report, Massachusetts Institute of Technology, Instrumentation Laboratory, 1965, 33-34.
    [19] Systems Analysis Modelling Simulation, 43 (2003), 1159-1171.
    [20] in Computer Aided Systems Theory - EUROCAST 2003, Lecture Notes in Computer Science, 2809, Springer, Berlin-Heidelberg, 2003, 494-505.
    [21] Ph.D thesis, Universidad de Las Palmas de Gran Canaria, 1993.
    [22] in From Natural to Artificial Neural Computation, Lecture Notes in Computer Science, Vol. 930/1995, 1995, 209-214.
    [23] The Journal of Neuroscience, 29 (2009), 2467-2476.
    [24] $3^{rd}$ edition, Cambridge University Press, Cambridge, 2007.
    [25] Vision Res., 5 (1965), 583-601.
    [26] J. Neurophysiol., 28 (1965), 819-832.
    [27] European Journal of Neuroscience, 15 (2002), 1585-1596.
    [28] J. Neurophysiol., 95 (2006), 1295-1297.
    [29] Neuroscience, 98 (2000), 207-212.
    [30] in The Retinal Basis of Vision (eds. J. Toyoda, et al.), Elsevier Science, 1999, 163-169.
    [31] American Mathematical Society Colloquium Publications, Vol. 23, American Mathematical Society, Providence, RI, 1959.
    [32] European Journal of Neuroscience, 28 (2008), 914-923.
    [33] Progress in Retinal and Eye Research, 21 (2002), 263-302.
    [34] The Journal of Neurosci., 26 (2006), 13250-13263.
    [35] Visual Neurosci., 26 (2009), 297-308.
    [36] Spectrum IEEE, 33 (1996), 30-37.
  • Reader Comments
  • © 2014 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Metrics

Article views(1620) PDF downloads(440) Cited by(1)

Article outline

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return

Catalog