6.021/Notes/2006-11-03

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Hodgkin-Huxley

  • Each factor can also be written as rates α,β
  • x_\infty=\frac{\alpha_x}{\alpha_x+\beta_x}, \tau_x=\frac{1}{\alpha_x+\beta_x}
  • The effect of temperature is to multiple rates by K_T = 3^{T_c-6.3}
  • An increase in temperature decreases all 3 time constants but has no effect on the final values.
  • At high temperature, no action potential is seen
  • There's another time constant due to capacitance in membrance
  • Changes in conductances have time delay before membrane potential changes
  • τM (membrane "RC" time constant) is about 1-2 ms.
  • \tau_m \approx 1-2 ms, \tau_n \approx 3-4 ms, \tau_h \approx 3-4 ms
  • increase in temperature causes the GK wave to catch up with the GNa wave
  • As increase temperature, both approach τM. If waves go at same speed, cannot have action potential.
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