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. 2023 Aug 25;17:1133086. doi: 10.3389/fnins.2023.1133086
Acronyms
Biophysical terms and model parameters
AWF (Intra-) Axonal water fraction
EWF Extra-axonal water fraction
FVF Fibre volume fraction
HCFM Hollow cylinder fibre model
ICVF Intra-cellular volume fraction (from NODDI)
MWF Myelin water fraction (Eq. 6)
gratio g-ratio
Magnetic resonance imaging and sequence acronyms
dMRI Diffusion-weighted Magnetic Resonance Imaging
DWI Diffusion-weighting Imaging
GRE Gradient-recalled echo
meGRE Multi-echo gradient-recalled echo
OC Optic chiasm
R2* Effective transverse relaxation rate
R2,iso* Orientation independent or isotropic part of R2*
TE Echo time
TEmax Maximal echo time
Hollow cylinder fibre model parameters
SA Signal of the intra-axonal compartment
SE Signal of the extra-axonal compartment
SM Signal of the myelin compartment
SN Sum of the signals of the non-myelinated (SA and SE) compartments
SC Sum of all the signal compartments (SA, SE and SM)
R2A Transverse relaxation rate of the intra-axonal compartment
R2E Transverse relaxation rate of the extra-axonal compartment
R2N Transverse relaxation rate of the non-myelinated compartments
R2M Transverse relaxation rate of the myelin compartment
ρA Proton density of the intra-axonal compartment
ρE Proton density of the extra-axonal compartment
ρN Proton density of the non-myelinated compartments
ρN Proton density of the myelin compartment
VM Volume fraction of the myelin compartment
Symbols
In silico and ex vivo data descriptors
θμ→ Angular orientation of the mean fibre bundle
θ0 First angular orientation or angular offset
B0→ Main magnetic field
κ Coefficient of dispersion (from Watson Distribution and NODDI)
μ→ Vector of the mean fibre bundle
x→ Vector of the individual cylinder in the simulated in silico data
TDiff,GRE Transformation matrix from dMRI to GRE images
TGRE:i,1 Transformation matrix from GRE images at the i-th angular orientation measurement to the first angular orientation measurement
Model parameters and analysis metrics
α0 Intercept parameter of M1
α1 Slope or linear parameter of M1
β0 Intercept of M2
β1 Slope of linear parameter of M2
β1,nm β1 ground-truth value without myelin signal contribution (Eq. 3)
β1,m β1 ground-truth value with myelin signal contribution (Eq. 4)
β2 Quadrature or second order parameter of M2
εm Relative difference between fitted β1 and predicted β1,nm
εnm Relative difference between fitted β1 and predicted β1,m
AIC Akaike Information Criterion
AICc Akaike Information Criterion corrected
ΔAICc Difference of Akaike Information Criteria (Equation 13)
wAICc Weighted Akaike Information Criterion corrected (Eq. 12)
nRMSD Normalised root-mean-squared deviation (Eq. 9)
ΔRMSD Normalised root-mean-squared deviation difference (Eq. 10)
M1 Log-linear model (Eq. 2)
M2 Log-quadratic model (Eq. 1)