The name is absent

23

the soma. At junction j < J we denote by ðɪ and 6j the branch indices of the two
children and by ðɜ the branch index of the mother. Continuity of the potential at
each junction requires

v_b^_b1_j,t) = v_b^_b2,t) = υ_b3(O,t), j = l,...,J-l         (2.19)

while current balance there requires

⅛(4^ι)¾⅝ι(4^ι^) + ⅛(4²)⅛⅝²(4²>0 = ⅛(0)¾v_b3(0√), j = 1,..., J- 1.
j 3         3     3              3     3         3     3              j             3

(2.20)

The D dendrites join at the soma and associated branch indices are b^d_h d = 1,..., D.
Continuity of the potential at the soma then reads

u_bι(4ι,t) = ¾₅‰_j,t), d = 2,...,D.               (2.21)

We denote this common value by υ_σ(t) and note that current balance there requires

d                        c                  F_c

C_m∂_tυ_σ(f) =     52 ⅞(45)¾⅜√¾,ⁱ) - 5Z ɑ^(w(i) - E_c) ɪɪ w^/ʃ(i)

zi_π∙Γl√ ,—   J ^j JJ                           ɪɪ J

^d=^{1                         C=1}                  ʃ=¹          (2.22)

ɪ S_σ
y 5~√ ff^s(ŋ(w(ŋ ^- E_σs)
s=l

я /,∖ ^wcf,∞{^vσ(t)) ^{- w}σcf(t)        ∩ , n ∩ ., .                    ∕_{o o}<_j∖

∂_tw_σcf(t) = —-------—7—7------,      0 < X < t_b, 0 < t,                (2.23)

^j              τ_cf(υ_σ(t))
where σ is the somatic index and A_σ is the surface area of the soma. Finally, we

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