The name is absent



138


tered differences for the first partial derivatives we obtain

¾(<>2M⅛) ≈ «‰)

+ 2α(τfc)


a(⅞-ι) - a(xk-ι)
2h


v(xk+ι) - v{xk~-i,}
2h


uk
h2


*⅛+ι - 2u⅛; + Vk-ι


<⅛+ι⅜+ι — ¾+ι'⅛-ι — βfc-ιVfc+ι + a,k-ιVk-ι


— ⅜+l


a2k , ɑfe z                     ʌ

7? + 2⅛≡<°i÷1 ^ at~t>


+ Vk


2a2

~h2


+ Vk-1

2: Leaf compartment

Leaf compartments satisfy ∂xv{t, t) = 0, which is discretized as

∂xυ{i, t)


V2 - Vi


However, because the membrane current must be accounted for from the active dy-
namics in the cable equation, we must divide through by one more h, bringing the
final expression to

^ 1 ^
h2


v2 +


— 11


h2


Vi-




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