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Dayan and Abbott, 2001

Dayan and Abbott, 2001. Dayan and Abbott, 2001. Dayan and Abbott, 2001. Take-home Lessons. neurons have diverse and complex dendritic morphologies voltage records look like “noisy baseline” + “spikes”

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Dayan and Abbott, 2001

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  1. Dayan and Abbott, 2001 Bioeng 376 / Bioph 317 / Neuro 317 / Physl 317 M. Nelson, Spring 2004

  2. Dayan and Abbott, 2001 Bioeng 376 / Bioph 317 / Neuro 317 / Physl 317 M. Nelson, Spring 2004

  3. Dayan and Abbott, 2001 Bioeng 376 / Bioph 317 / Neuro 317 / Physl 317 M. Nelson, Spring 2004

  4. Bioeng 376 / Bioph 317 / Neuro 317 / Physl 317 M. Nelson, Spring 2004

  5. Take-home Lessons • neurons have diverse and complex dendritic morphologies • voltage records look like “noisy baseline” + “spikes” • in vitro current injection yields relatively simple voltage records with RC-like response curves, plus spikes if v > threshold • in vivo recordings are generally “noisier” (synaptic activity) • leaky integrate-and-fire model attempts to capture basic properties of voltage records (RC time constant, spike threshold); typically ignores complexities of neuron morphology • Typical numerical parameters: • resting membrane voltage: ~ -70 mV • spike amplitude: ~100 mV (intracellular) • spike duration:~1 msec • RC time constant: ~10 msec • maximum spike rate: ~100 spikes/s Bioeng 376 / Bioph 317 / Neuro 317 / Physl 317 M. Nelson, Spring 2004

  6. Leaky integrate-and-fire model • initialize membrane voltagev = vrest • RC-circuit dynamicsdv/dt = (-v(t)/R + I(t))/C • spike generation if (v  vthresh)then generate spike • voltage reset if (just spiked)then reset voltage • absolute refractory period if (time since last spike < trefract)then don’t allow another spike For more info see: http://diwww.epfl.ch/~gerstner/SPNM/node26.htmlhttp://zadorlab.cshl.edu/rep_fire_inc/rep_fire_inc.html Bioeng 376 / Bioph 317 / Neuro 317 / Physl 317 M. Nelson, Spring 2004

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