# 6.021/Notes/2006-11-13

• experimental data from lobster: $\displaystyle{ \lambda_c \approx 1.3 }$ mm
• Solution of form: $\displaystyle{ v_m(z,t)=w(z,t) e^{-t/\tau_m} }$
• where $\displaystyle{ \frac{\partial w}{\partial t} = \frac{\lambda_c^2}{\tau_m} \frac{\partial^2 w}{\partial z^2} }$
• This is the Diffusion Equation with $\displaystyle{ D=\frac{\lambda_c^2}{\tau_m} }$