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28


Vb

Wbll


WblF1
Wb21

Wb2F2

WbCl


WbCFc /


or, more concisely,


(vb + Kb dbll <⅛12
Φbll ≠frll
Φbl2          Ψbl2


ΦbCFc


dbCFc


ΨbCFc /


( Vb >
Wbii

WfeiFi
W>b21

Wb2F2

WbCl

WbCFc



tzb Qb^,b T ub-

(2.32)


We discretize the neuron in space by dividing each branch into 7ь = ceil(f⅛∕∕ι) com-
partments, where
h is some desired step size. The connectivity of the full morphology
is encapsulated in the Hines matrix H, which is the spatial discretization of each
T>b
coupled with (2.19) to (2.21) and (2.24) (Hines, 1984). More detail about constructing
this matrix will be given in §A.

Using the Hines matrix imposes an outside-in ordering of branches and compart-
ments, which leads to minimal fill-in for Gaussian Elimination (Hines, 1984). If
m
and n denote, respectively, the number of gating variables per compartment and the
total number of compartments, i.e.,
с                     в

m =        and n = 1 +   7ь>

c=l                         b=l



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