Systems Biology II: Neural Systems (580.422) Lecture 9, Nonlinear cable theory Eric Young 5-3164 [email protected]
Linear cable theory ignores the presence of voltage-gated channels in the membrane. Potentials become smaller in amplitude and more spread out in time as they propagate away from the source, called electrotonic or passive conduction.
0.1τ I(t)
Membrane Distance down potential V the cylinder, in units of λ V(x,t)
∂ 2V ∂V λ2 = τ + V ∂x 2 ∂t
Time, in units of τ