Fractal Bloch model to characterize stretched magnetization relaxation in magnetic resonance imaging
Y Liang, Y Yu - Communications in Nonlinear Science and Numerical …, 2023 - Elsevier
This study proposes a fractal Bloch model to describe the stretched magnetization relaxation
in magnetic resonance imaging (MRI). The fractal Bloch model extends the relaxation terms …
in magnetic resonance imaging (MRI). The fractal Bloch model extends the relaxation terms …
Can anomalous diffusion models in magnetic resonance imaging be used to characterise white matter tissue microstructure?
Purpose During the time window of diffusion weighted magnetic resonance imaging
experiments (DW-MRI), water diffusion in tissue appears to be anomalous as a transient …
experiments (DW-MRI), water diffusion in tissue appears to be anomalous as a transient …
A study for analysing predator–prey ecological system using Legendre polynomial
K Agrawal, S Kumar, BST Alkahtani… - Applied Mathematics in …, 2024 - Taylor & Francis
This paper presents a mathematical model to examine the effects of the coexistence of
predators on single prey. Based on Caputo operators, we present a newly developed …
predators on single prey. Based on Caputo operators, we present a newly developed …
Investigation of changes in anomalous diffusion parameters in a mouse model of brain tumour
In this paper, we investigate anomalous diffusion models in a mouse model of glioblastoma,
a grade IV brain tumour, and study how the anomalous diffusion model parameters reflect …
a grade IV brain tumour, and study how the anomalous diffusion model parameters reflect …
General PFG signal attenuation expressions for anisotropic anomalous diffusion by modified-Bloch equations
G Lin - Physica A: Statistical Mechanics and its Applications, 2018 - Elsevier
Anomalous diffusion exists widely in polymer and biological systems. Pulsed-field gradient
(PFG) anomalous diffusion is complicated, especially in the anisotropic case where limited …
(PFG) anomalous diffusion is complicated, especially in the anisotropic case where limited …
General pulsed-field gradient signal attenuation expression based on a fractional integral modified-Bloch equation
G Lin - Communications in Nonlinear Science and Numerical …, 2018 - Elsevier
Anomalous diffusion has been investigated in many polymer and biological systems. The
analysis of PFG anomalous diffusion relies on the ability to obtain the signal attenuation …
analysis of PFG anomalous diffusion relies on the ability to obtain the signal attenuation …
Analysis of PFG anomalous diffusion via real-space and phase-space approaches
G Lin - Mathematics, 2018 - mdpi.com
Pulsed-field gradient (PFG) diffusion experiments can be used to measure anomalous
diffusion in many polymer or biological systems. However, it is still complicated to analyze …
diffusion in many polymer or biological systems. However, it is still complicated to analyze …
Analyze PFG Anomalous Diffusion via Real Space and Phase Space Approaches
G Lin - 2017 - preprints.org
Pulsed-field gradient (PFG) diffusion experiments can be used to measure anomalous
diffusion in many polymer or biological systems. However, it is still complicated to analyze …
diffusion in many polymer or biological systems. However, it is still complicated to analyze …
Modified-Bloch Equation Based on Fractal Derivative for Analyzing PFG Anomalous Diffusion
G Lin - arXiv preprint arXiv:1709.05578, 2017 - arxiv.org
A modified-Bloch equation based on the fractal derivative is proposed to analyze pulsed
field gradient (PFG) anomalous diffusion. Anomalous diffusion exists in many systems such …
field gradient (PFG) anomalous diffusion. Anomalous diffusion exists in many systems such …