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Modeling interactions 3

Modeling interactions 3. Fitzhugh Nagumo model of neurone behaviour. Hodgkin – Huxley model. outside. I. K. Na. Cl. C 0. E. -. +. +. I C. +. -. -. inside. Simplified model (F-N). =0.02, v 1 =0.2, v 2 =1, d w =0.5. Nonlinear oscilators Van der Pol oscilator. Phase portrait.

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Modeling interactions 3

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  1. Modeling interactions 3

  2. Fitzhugh Nagumo model of neurone behaviour

  3. Hodgkin – Huxley model outside I K Na Cl C0 E - + + IC + - - inside

  4. Simplified model (F-N) =0.02, v1=0.2, v2=1, dw=0.5

  5. Nonlinear oscilatorsVan der Pol oscilator

  6. Phase portrait x’ x

  7. x x’

  8. Van der Pol oscillator

  9. =1, =0.5 -z x

  10. x -z

  11. =1, =0.01 -z x

  12. x -z

  13. Block diagram x(1-x2/3) + x - - z

  14. Null clines

  15. Bonhoeffer – Van der Pol oscillator

  16. Block diagram + x - z

  17. Null clines

  18. Linearization around equilibrium

  19. Analysis of Fitzhugh – Nagumo model

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