The name is absent

22

Figure 2.5: Example of a simplified neuron to demonstrate our labeling scheme (taken from my
paper with Roos, Xiao, and Cox (Kellems et al., 2009)). Branches are indexed using the Hines
ordering (Hines, 1984), and junctions are labeled with italics. For this cell there are D — 3 dendrites
and J = 4 junctions. Our labeling scheme implies, for example, that at junction 3 the children are
indexed by 6∣ = 5, hɜ = 6 and the mother is indexed by 6∣ = 8.

the F_c gating variables, w_bcf, f = 1,..., F_c. When subjected to input at Sb synapses,
these gating variables, together with v₆, obey the nonlinear cable equation

a_bC_m∂_tv_b = -∂_x(a²_b∂_xυ_b) - a_b∑ G_bc(x)(υ_b ~ E_c) ɪɪ w⁹_bc^f_f
^{C=1                  f=1}             (2.17)

ɪ ɔb

- — y^Qb_s(t)δ(x - x_bs)(v_b - E_bs)

Z7Γ ^z—'
s=l

₌ ⅛⅛⅛1→⅛₁    0 < _χ < _e O < _i.              (2.18)

^τcf(^υ_b)

Here g_bs (nS) is the time course, x_bs is the spatial location, and E_bs is the reversal
potential of the sth synapse on branch b.

These branch potentials interact at J junction points, where junction J denotes

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