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      The Neuroid revisited: A heuristic approach to model neural spike trains

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          Abstract

          AbstractIntroduction: Since it was introduced in 2012, the Neuroid has been used to aid in understanding how functionally different neural populations contribute to sensory information processing. However, insights about whether this neuron-model could perform better than others or about when its utilization should be considered have not been provided yet. Methods In an attempt to address this issue, a comparison between the Neuroid and the leaky-integrate-and-fire (LIF) model in terms of accuracy and computational cost was performed. Both models were tested for different stimulation amplitudes and stimulation periods, with time step sizes ranging from 10-4 to 1 ms. Results It was found that, although the Neuroid was able to produce more accurate results than its original version, its accuracy was lower than the achieved with the LIF model solved by the forward Euler method. On the other hand, the Neuroid performed its calculations in an amount of time significantly lower (Mulfactorial ANOVA test, p < 0.05) than that required by the LIF model when it was solved by using the forward Euler method. Moreover, it was possible to use Neuroid-based networks to replicate biologically relevant firing patterns produced by low-scale networks composed of more detailed neuron-models. Conclusion Results suggest that the Neuroid could be an interesting choice when computational resources are limited, although its use might be restricted to a narrow band of applications.

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          Most cited references37

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          Neural networks and physical systems with emergent collective computational abilities.

          J Hopfield (1982)
          Computational properties of use of biological organisms or to the construction of computers can emerge as collective properties of systems having a large number of simple equivalent components (or neurons). The physical meaning of content-addressable memory is described by an appropriate phase space flow of the state of a system. A model of such a system is given, based on aspects of neurobiology but readily adapted to integrated circuits. The collective properties of this model produce a content-addressable memory which correctly yields an entire memory from any subpart of sufficient size. The algorithm for the time evolution of the state of the system is based on asynchronous parallel processing. Additional emergent collective properties include some capacity for generalization, familiarity recognition, categorization, error correction, and time sequence retention. The collective properties are only weakly sensitive to details of the modeling or the failure of individual devices.
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            Simple model of spiking neurons.

            A model is presented that reproduces spiking and bursting behavior of known types of cortical neurons. The model combines the biologically plausibility of Hodgkin-Huxley-type dynamics and the computational efficiency of integrate-and-fire neurons. Using this model, one can simulate tens of thousands of spiking cortical neurons in real time (1 ms resolution) using a desktop PC.
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              Neurons with graded response have collective computational properties like those of two-state neurons.

              A model for a large network of "neurons" with a graded response (or sigmoid input-output relation) is studied. This deterministic system has collective properties in very close correspondence with the earlier stochastic model based on McCulloch - Pitts neurons. The content- addressable memory and other emergent collective properties of the original model also are present in the graded response model. The idea that such collective properties are used in biological systems is given added credence by the continued presence of such properties for more nearly biological "neurons." Collective analog electrical circuits of the kind described will certainly function. The collective states of the two models have a simple correspondence. The original model will continue to be useful for simulations, because its connection to graded response systems is established. Equations that include the effect of action potentials in the graded response system are also developed.
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                Author and article information

                Contributors
                Role: ND
                Role: ND
                Role: ND
                Journal
                reng
                Research on Biomedical Engineering
                Res. Biomed. Eng.
                Sociedade Brasileira de Engenharia Biomédica (Rio de Janeiro, RJ, Brazil )
                2446-4732
                2446-4740
                December 2017
                : 33
                : 4
                : 331-343
                Affiliations
                [01] Valle del Cauca Valle del Cauca orgnameUniversidad Santiago de Cali orgdiv1Faculty of Engineering orgdiv2Department of Information Technology and Communications Colombia
                [02] Caracas orgnameSimón Bolívar University orgdiv1Departament of Technological, Biological and Biochemical Processes Venezuela
                [03] Caracas orgnameUniversidad Central de Venezuela orgdiv1Faculty of Medicine orgdiv2Institut of Experimental Medicine Venezuela
                Article
                S2446-47402017000400331
                10.1590/2446-4740.02617
                63862d80-d532-49a4-82b4-5466b41b2958

                This work is licensed under a Creative Commons Attribution 4.0 International License.

                History
                : 27 May 2017
                : 23 November 2017
                Page count
                Figures: 0, Tables: 0, Equations: 0, References: 39, Pages: 13
                Product

                SciELO Brazil


                Neuroid,Spiking neuron-model,Frequency-intensity curve,Accuracy,Computational cost,Heuristic

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