The name is absent



IOl



Figure 4.1: Schematic of the strong-weak model for a uniform fiber, along with its spatial
discretization to illustrate the ordering of compartments


absolute and relative voltages at the transition point:


Vτ(t) = Vs(xτ,t) = Vw(xτ,t), υτ(t) = Vτ(t) - Vτ.


(4.1)


It will be computationally advantageous to work with voltages with respect to rest.

The strong fiber obeys the nonlinear cable equation, while the weak fiber obeys
the quasi-active version of this PDE. Hence, using the cable equation from §2.3.1, we
write the strong-weak system as


ɪ                c                    Fc

GjCrric)fVs _ ɑ ∂χχXs G Gsc(x)(vs   Ec ) ɪɪ scf Is(Vs> ^∙> t)



0 < X < xτ, 0 < t,


twscf

G) cf ,oo('ʊ s)    'G'scf


xτ < x < P, 0 < t,


(4.2)

(4.3)

(4.4)


where vw and ω,,jc denote the linearized weak voltage and gating variables, Φ denotes
the ionic current function,
Is and denotes the inputs to the strong fiber, Iw denotes
the linearized inputs to the weak fiber, and
Qw is the quasi-active operator, as in




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