HodgkinHuxleyModelParameters

Here are a set of parameters for the Hodgkin and Huxley model equations that set the resting potential to approximately $-65\ \text{mV}$ (for simplicity, Hodgkin and Huxley set the resting potential to $0\ \text{mV}$).

• Parameters for Equation 9: $$\begin{align} C &\gets 1\ \mu\text{F}/\text{cm}^2 \\ \\ \bar{g}_{L} &\gets 0.3\ \text{mS}/\text{cm}^2 \\ \\ E_{L} &\gets -54.387\ \text{mV} \\ \\ \bar{g}_{\text{K}^+} &\gets 36\ \text{mS}/\text{cm}^2 \\ \\ E_{\text{K}^+} &\gets -77\ \text{mV} \\ \\ \bar{g}_{\text{Na}^+} &\gets 120\ \text{mS}/\text{cm}^2 \\ \\ E_{\text{Na}^+} &\gets 50\ \text{mV} \end{align}$$

• Parameters for $\alpha_{n}$ (Equation 17): $$\begin{align} V_{1} &\gets 100\ \text{mV} \cdot \text{ms} \\ \\ V_{2} &\gets -55\ \text{mV} \\ \\ V_{3} &\gets 10\ \text{mV} \end{align}$$

• Parameters for $\beta_{n}$ (Equation 18): $$\begin{align} V_{4} &\gets 0.125\ \text{ms}^{-1} \\ \\ V_{5} &\gets -65\ \text{mV} \\ \\ V_{6} &\gets 80\ \text{mV} \end{align}$$

• Parameters for $\alpha_{m}$ (Equation 21): $$\begin{align} V_{7} &\gets 10\ \text{mV} \cdot \text{ms} \\ \\ V_{8} &\gets -40\ \text{mV} \\ \\ V_{9} &\gets 10\ \text{mV} \end{align}$$

• Parameters for $\beta_{m}$ (Equation 22): $$\begin{align} V_{10} &\gets 4\ \text{ms}^{-1} \\ \\ V_{11} &\gets -65\ \text{mV} \\ \\ V_{12} &\gets 18\ \text{mV} \end{align}$$

• Parameters for $\alpha_{h}$ (Equation 23): $$\begin{align} V_{13} &\gets 0.07\ \text{ms}^{-1} \\ \\ V_{14} &\gets -65\ \text{mV} \\ \\ V_{15} &\gets 20\ \text{mV} \end{align}$$

• Parameters for $\beta_{h}$ (Equation 24): $$\begin{align} V_{16} &\gets 1\ \text{ms} \\ \\ V_{17} &\gets -35\ \text{mV} \\ \\ V_{18} &\gets 10\ \text{mV} \end{align}$$