Results 81 to 90 of about 2,952,428 (298)
ABSTRACT Objectives Focal cortical dysplasia (FCD) is the most common etiology of drug‐resistant epilepsy in children. Focal to bilateral tonic–clonic seizures (FBTCS) mark a high risk of drug‐resistant epilepsy and involve thalamocortical circuitry in their generation and propagation.
Hua Xie +8 more
wiley +1 more source
This paper proposes the analytical solution for a class of the fractional diffusion equation represented by the fractional-order derivative. We mainly use the Grunwald–Letnikov derivative in this paper.
Ndolane Sene
doaj +1 more source
An inverse problem for a fractional diffusion equation
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiangtuan Xiong +2 more
openaire +3 more sources
Error analysis of an explicit finite difference approximation for the space fractional diffusion equation with insulated ends [PDF]
The space fractional diffusion equation (?) is obtained from the classical diffusion equation by replacing the second space derivative by a fractional derivative of order ?, 1 ? ? ? 2 .
Liu, Fawang +3 more
core
ABSTRACT Objective To investigate which baseline clinical and imaging characteristics best predict TSPO‐PET‐measurable reduction in glial activation following treatment of multiple sclerosis (MS), to utilize this information for designing more efficient biomarker‐based clinical trials targeting glial activation.
Marlene T. Morch +5 more
wiley +1 more source
Detailed analysis of a conservative difference approximation for the time fractional diffusion equation [PDF]
Diffusion equations that use time fractional derivatives are attractive because they describe a wealth of problems involving non-Markovian Random walks.
Anh, Vo +3 more
core
Lattice Boltzmann method for the fractional advection-diffusion equation [PDF]
Mass transport, such as movement of phosphorus in soils and solutes in rivers, is a natural phenomenon and its study plays an important role in science and engineering.
Ockenden, M. C. +45 more
core +1 more source
ABSTRACT Multisystemic smooth muscle dysfunction syndrome (MSMDS) is an ultra‐rare, ACTA2‐related disorder characterized by severe cerebrovascular disease, aortic aneurysms, and smooth muscle dysfunction. Using molecular dynamics simulations and in silico drug screening, we identified that sapropterin dihydrochloride (Kuvan) is a candidate capable of ...
Moran Hausman‐Kedem +9 more
wiley +1 more source
Anomalous Diffusion Models Involving Regularized General Fractional Derivatives with Sonin Kernels
In this paper, we introduce a general fractional master equation involving regularized general fractional derivatives with Sonin kernels, and we discuss its physical characteristics and mathematical properties.
Maryam Alkandari +2 more
doaj +1 more source
Particle Simulation of Fractional Diffusion Equations
This work explores different particle-based approaches to the simulation of one-dimensional fractional subdiffusion equations in unbounded domains. We rely on smooth particle approximations, and consider four methods for estimating the fractional diffusion term.
S. Allouch +4 more
openaire +3 more sources

