Abstract Intravoxel Incoherent Motion (IVIM) refers to translational movements which within a
given voxel and during the measurement time present a distribution of speeds in orientation …

Map** tissue microstructure with MRI holds great promise as a noninvasive window into
tissue organization at the cellular level. Having originated within the realm of diffusion NMR …

The concept of diffusion magnetic resonance (MR) imaging emerged in the mid-1980s,
together with the first images of water diffusion in the human brain, as a way to probe tissue …

In this research, a Bernoulli wavelet operational matrix of fractional integration is presented.
Bernoulli wavelets and their properties are employed for deriving a general procedure for …

In this paper, a time-space fractional diffusion equation in two dimensions (TSFDE-2D) with
homogeneous Dirichlet boundary conditions is considered. The TSFDE-2D is obtained from …

It is well known that diffusion-induced MR signal loss deviates from monoexponential decay,
particularly at high b-values (eg,> 1500 sec/mm2 for human brain tissues). A number of …

Diffusion MRI plays a very important role in studying biological tissue structure and
functioning both in health and disease. Proper interpretation of experimental data requires …

Purpose To compare fitting methods and sampling strategies, including the implementation
of an optimized b‐value selection for improved estimation of intravoxel incoherent motion …

In this paper, we define a new fractional function based on the Bernoulli wavelet to obtain a
solution for systems of fractional differential equations (FDEs). The fractional derivative in …

This study presents a computational method for the solution of the fractional optimal control
problems subject to fractional systems with equality and inequality constraints. The …