The name is absent

114

Now we discretize the neuron in space, which yields N_s and N_w compartments in
the strong and weak parts, respectively, as well as the transition compartment, for
a total of N = N_s + N_w + 1 compartments. This implies that the strong and weak
voltage vectors are

v_s∈R^jv∙^s, v,_λ, ∈ R∕^v,".

To construct the coupled “Hines” matrix properly we will need the local indices
of the compartments adjacent to the transition compartment. These local indices are
denoted by N_w and Np for the adjacent strong and weak compartments, respectively.
Using these local indices, the voltage of the adjacent weak compartment is denoted
by v^^w, and the voltage of the adjacent strong compartment is denoted by vf^r. The
voltage of the transition compartment is denoted as before as vʃ.

Discretizing (4.19) yields
where Nx is the compartment length for branch bp- Using the continuity of potential
condition of (4.18) we solve for v_τ:

v_{τ =} V⅛∙ ₊ ⅛^4
^τ 2 ^s 2 ^w

Now we are ready to apply the generalized cable equation’s second-derivative oper-
ator. We can use our previously derived results (see Appendix A) for all compartments

<<   121   122   123   124   125   126   127   >>

More intriguing information