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Created January 2, 2018 21:16
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Lascon VII tutorial - Dynamical Systems
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one.md

Tutorial I: one dimensional dynamics

Warming up

Numerical integration of the i&f model \tau\dot{v}=-(v-\text{I})

  • raise f-I curve
  • compare to analytical solution (direct integration)

Up and down

  • sketch (by hand!) 1d dynamics compatible with up/down states (see images below)
  • integrate numerically, adding pulses and noise

From Scholarpedia.

J. R. Wickens, C. J. Wilson (1998). Regulation of Action-Potential Firing in Spiny Neurons of the Rat Neostriatum In Vivo. Journal of Neurophysiology

Stuart W Hughes, David W Cope, Tibor I Tóth, Stephen R Williams, and Vincenzo Crunelli (1999). All thalamocortical neurones possess a T-type Ca2+ ‘window’ current that enables the expression of bistability-mediated activities. The Journal of Physiology, 517(3): 805–815

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