12.07.2015 Views

Dynamical Systems in Neuroscience:

Dynamical Systems in Neuroscience:

Dynamical Systems in Neuroscience:

SHOW MORE
SHOW LESS
  • No tags were found...

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

230 Excitability50 ms 20 mV 1 ms1000 pA-60 mV0 pA 500 pAFigure 7.4: Class 3 excitability of a mesV neuron of rat bra<strong>in</strong>stem (contrast withFig. 7.3).20 mV100 ms-20mV50 ms 3 mVsubthreshold oscillations700 pA100 pAFigure 7.5: Class 3 excitability of a layer 5 pyramidal neuron of rat visual cortex. The<strong>in</strong>set shows subthreshold oscillations of membrane potential.the strength of the applied dc-current or the strength of the <strong>in</strong>com<strong>in</strong>g synaptic bombardment,<strong>in</strong>to the frequency of their spik<strong>in</strong>g output. Class 2 neurons cannot do that.Instead, they can act as threshold elements report<strong>in</strong>g when the strength of <strong>in</strong>put isabove a certa<strong>in</strong> value. Both properties are important <strong>in</strong> neural computations.Hodgk<strong>in</strong> also observed that axons left <strong>in</strong> oil or sea water for long periods exhibited• Class 3 neural excitability. A s<strong>in</strong>gle action potential is generated <strong>in</strong> responseto a pulse of current. Repetitive (tonic) spik<strong>in</strong>g can be generated only forextremely strong <strong>in</strong>jected currents or not at all.Two examples of Class 3 excitable systems are depicted <strong>in</strong> Fig. 7.4 and Fig. 7.5. ThemesV neuron <strong>in</strong> the figure fires a phasic spike at the onset of the pulse of current, andthen rema<strong>in</strong>s quiescent. Even <strong>in</strong>ject<strong>in</strong>g pulses as high as 1000 pA, which result <strong>in</strong> spike

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!