Bloch–Torrey equation
E645943
The Bloch–Torrey equation is an extension of the Bloch equations that incorporates diffusion effects to describe the evolution of nuclear magnetization in magnetic resonance imaging and NMR.
Statements (51)
| Predicate | Object |
|---|---|
| instanceOf |
extension of Bloch equations
ⓘ
mathematical model ⓘ partial differential equation ⓘ physical law ⓘ |
| appliesTo |
MR diffusion experiments
ⓘ
diffusing spin ensembles ⓘ diffusion tensor imaging ⓘ diffusion-weighted MRI ⓘ nuclear spins in a magnetic field ⓘ |
| assumes | classical continuum description of magnetization ⓘ |
| describes |
effects of diffusion on nuclear magnetization
ⓘ
evolution of nuclear magnetization ⓘ magnetization dynamics in inhomogeneous media ⓘ signal attenuation due to diffusion ⓘ time evolution of longitudinal magnetization ⓘ time evolution of transverse magnetization ⓘ |
| domain |
NMR spectroscopy
ⓘ
biomedical imaging ⓘ theoretical MRI ⓘ |
| extends | Bloch equations by adding diffusion ⓘ |
| field |
diffusion NMR
ⓘ
magnetic resonance imaging ⓘ magnetic resonance physics ⓘ medical imaging ⓘ nuclear magnetic resonance ⓘ spin dynamics ⓘ |
| generalizes | Bloch equations NERFINISHED ⓘ |
| hasComponent |
Bloch equation terms
ⓘ
Laplacian of magnetization ⓘ diffusion term ⓘ precession term ⓘ relaxation terms ⓘ |
| includes |
T1 relaxation
ⓘ
T2 relaxation ⓘ diffusion coefficient ⓘ |
| includesOperator | Laplacian operator ⓘ |
| mathematicalForm | time derivative of magnetization equals Bloch terms plus diffusion term ⓘ |
| parameter |
diffusion coefficient tensor
ⓘ
gyromagnetic ratio ⓘ longitudinal relaxation time T1 ⓘ magnetic field ⓘ transverse relaxation time T2 ⓘ |
| relatedTo |
Bloch–McConnell equations
NERFINISHED
ⓘ
Fick's law of diffusion NERFINISHED ⓘ spin-echo experiments ⓘ |
| usedFor |
analyzing diffusion-weighted NMR experiments
ⓘ
modeling diffusion effects in MRI ⓘ modeling diffusion in porous media ⓘ modeling restricted diffusion ⓘ quantitative diffusion parameter estimation ⓘ simulating MR signal formation in diffusing media ⓘ |
Referenced by (1)
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