The name is absent

140

5: Branch compartment

A branch compartment is the first one on the parent branch. These nodes satisfy
the boundary conditions

^vPk (tpk,^t) = ^υc¹_k (0, t) + ^vc²_k (0, t)

a²_pk∂_xv_pk(e_pk,t) = a²_cl∂_xv_cι(Q,t) + a²₂∂_xv_c2(Q,t).
K       ^                K       ^κ

I discretize the second of these conditions by forward and backward differences using
the radii that are one compartment away from the branch point to explicitly show
the effect of varying radii entering the branch; in the limit as h → 0 these are the
same values:

Gathering like terms to the left and scaling by l∕h_p because of the membrane current
yields

2        2           2

<⅞2 _ ^ac₁,N _ ^ac₂,N

÷ V_p,2

+ ^,7cιΛ^,

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