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    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/conf/003/0012

    • Keywords

       

      Noise; adaptive exponential integrate-and-fire; neuronal activities

    • Abstract

       

      Noise appears in the brain due to various sources, such as ionic channel fluctuations and synaptic events. They affect the activities of the brain and influence neuron action potentials. Stochastic differential equations havebeen used to model firing patterns of neurons subject to noise. In this work, we consider perturbing noise in the adaptive exponential integrate-and-fire (AEIF) neuron. The AEIF is a two-dimensional model that describes different neuronal firing patterns by varying its parameters. Noise is added in the equation related to the membrane potential.We show that a noise current can induce continuous and non-continuous transitions in neuronal interspike intervals. Moreover, we show that the non-continuous transition occurs mainly for parameters close to the border between tonic spiking and burst activities of the neuron without noise.

    • Author Affiliations

       

      P R PROTACHEVICZ1 2 M S SANTOS2 E G SEIFERT3 E C GABRICK1 F S BORGES4 R R BORGES5 J TROBIA1 6 J D SZEZECH Jr1 6 K C IAROSZ2 5 7 I L CALDAS2 C G ANTONOPOULOS8 Y XU9 R L VIANA10 A M BATISTA1 2 6

      1. Graduate Program in Science – Physics, State University of Ponta Grossa, 84030-900, Ponta Grossa, PR, Brazil
      2. Institute of Physics, University of São Paulo, 05508-900, São Paulo, SP, Brazil
      3. Department of Physics, State University of Ponta Grossa, 84030-900, Ponta Grossa, PR, Brazil
      4. Center for Mathematics, Computation, and Cognition, Federal University of ABC, 09606-045, São Bernardo do Campo, SP, Brazil
      5. Department of Mathematics, Federal University of Technology Paraná, 84016-210, Ponta Grossa, PR, Brazil
      6. Department of Mathematics and Statistics, State University of Ponta Grossa, 84030-900, Ponta Grossa, PR, Brazil
      7. Faculdade de Telêmaco Borba, FATEB, 84266-010, Telêmaco Borba, PR, Brazil
      8. Department of Mathematical Sciences, University of Essex, CO4 3SQ, Wivenhoe Park, United Kingdom
      9. Department of Applied Mathematics, Northwestern Polytechnical University, 710072, Xi’an, People’s Republic of China
      10. Department of Physics, Federal University of Paraná, 82590-300, Curitiba, PR, Brazil

    • Dates

       
      Published
      December 2020
      Manuscript received
      Manuscript revised
      Accepted

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