6.021/Notes/2006-10-31

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Hodgkin-Huxley review

  • [math]\displaystyle{ C_m, G_L, V_L }[/math] are constants
  • [math]\displaystyle{ C_m \approx 1\mu F/cm^2 }[/math]
  • [math]\displaystyle{ V_K \approx 60 mV log\frac{c_K^o}{c_K^i} }[/math]
  • [math]\displaystyle{ V_{Na} \approx 60 mV log\frac{c_{Na}^o}{c_{Na}^i} }[/math]
  • [math]\displaystyle{ G_K=\overline{G_K}n^4, G_{Na}=\overline{G_{Na}}m^3h }[/math]
  • m, n, h obey [math]\displaystyle{ x+\tau_x(V_m)\frac{dx}{dt}=x_\infty(V_m) }[/math]
  • [math]\displaystyle{ \tau_m \ll \tau_h, \tau_n }[/math]
  • As [math]\displaystyle{ V_m\uparrow }[/math]
    • [math]\displaystyle{ h\infty\downarrow }[/math]
    • [math]\displaystyle{ n\infty,m\infty\uparrow }[/math]