| 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 |
|
|
Angular orientation of the mean fibre bundle |
|
|
First angular orientation or angular offset |
|
|
Main magnetic field |
| κ |
Coefficient of dispersion (from Watson Distribution and NODDI) |
|
|
Vector of the mean fibre bundle |
|
|
Vector of the individual cylinder in the simulated in silico data |
|
|
Transformation matrix from dMRI to GRE images |
|
|
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) |