6.021/Notes/2006-10-31

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Hodgkin-Huxley review

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