# 6.021/Notes/2006-10-31

## Hodgkin-Huxley review

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