Neuroscience Basic Knowledge
The LIF model LIF: Leaky Integrated-and -Fire
1. Membrane Equation $$ \begin{align*} \
&\tau_m\,\frac{d}{dt}\,V(t) = E_{L} - V(t) + R\,I(t) &\text{if }\quad V(t) \leq V_{th} \\
\\
&V(t) = V_{reset} &\text{otherwise}\
\
\end{align*} $$
where $V(t)$ is the membrane potential(膜电势), $\tau_m$ is the membrane time constant, $E_{L}$ is the leak potential, $R$ is the membrane resistance, $I(t)$ is the synaptic input current, $V_{th}$ is the firing threshold, and $V_{reset}$ is the reset voltage.
