Table 1 Glossary of parameters and variables

β

Stochastic scaling

mV⁻¹

\(\delta T_{i}\)

Internodal delay in units of membrane time constant

–

\(\delta T_{N}\)

Internodal delay for whole axon

–

\(\delta T_{TP}\)

Mean internodal delay for whole axon and averaged across lesion configurations

–

ϕ

Normaliozed extracellular potential

–

θ

Stochastic threshold

mV

γ

Ratio of length constants

–

\(\lambda_{i} \)

Electrotonic length constant of ith internode

mm

\(\lambda_{M}\)

Electrotonic length constant of a myelinated segment

mm

\(\lambda_{D}\)

Electotonic length constant of a damaged segment

mm

\(\lambda_{L}\)

Electrotonic length constant of a fully demyelinated segment

mm

\(\rho_{i}\)

Firing hazard of node i

–

\(\sigma^{2}_{TP}\)

Variance of transmission delay across lesion configurations

–

\(\sigma_{e}\)

Electric permittivity

–

τ

Membrane time constant

ms

D

Internodal distance in units of electrotonic length constant

–

\(G_{i}(T,X)\)

Green’s function of internodal propagation

mV / pA

\(I_{\mathrm{AP}}\)

AP current influx

pA

k

Lesion size

Number of internodes

\(N_{ij}\)

Number of nodes in configration ij

–

\(N_{L}\)

Total number of lesions

–

N̅

Mean number of lesions

–

\(p_{L}\)

Frequency of lesions

Lesions per node

\(P_{T}^{(i)}\)

Probability of transmission across internode i

–

\(P_{T}^{(\mathrm{axon})} \)

Probability of transmission across whole axon

–

\(p_{i}(T,X)\)

Probability of firing first spike at node i –

\(T_{i}\)

Time of action potential in node i and in units of membrane time constant

–

t

Time from action potential

ms

\(V_{i}(T,X)\)

Membrane potential deflection along internode i

mV

v

Propagation speed

m/s

X

Distance along internode in units of electrotonic constant

–

x

Distance along internode

mm