Results 81 to 90 of about 108,033 (290)
Accelerated Progression of Gait Impairment in Parkinson's Disease and REM Sleep Without Atonia
ABSTRACT Objective People with Parkinson's disease (PD) and rapid eye movement (REM) sleep without atonia (RSWA) often have more severe gait disturbances compared to PD without RSWA. The association between the presence and expression of RSWA and the rate of progression of gait impairment in PD is unknown.
Sommer L. Amundsen‐Huffmaster +11 more
wiley +1 more source
Symmetry reductions and qualitative analysis of time fractional K(m,1) equation
This paper studies symmetry reductions of time fractional K(m,1) equation with generalized evolution which is one of the important equation in fractional partial differential equations (FPDEs). Here, the classical Lie symmetries are obtained and utilized
Rahul +3 more
doaj +1 more source
ABSTRACT Background Neurodegeneration with brain iron accumulation (NBIA) comprises a genetically and clinically heterogeneous group of rare neurological disorders characterized particularly by iron accumulation in the basal ganglia. To date, 15 genes have been associated with NBIA.
Seda Susgun +95 more
wiley +1 more source
Optimal systems and group invariant solutions for a model arising in financial mathematics
We consider a bond‐pricing model described in terms of partial differential equations (PDEs). Classical Lie point symmetry analysis of the considered PDEs resulted in a number of point symmetries being admitted.
Bienvenue Feugang Nteumagne +1 more
doaj +1 more source
Symmetries and reduction in nonholonomic mechanics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Borisov, A.+V., Mamaev, I.+S.
openaire +1 more source
Classical and Quantum Symmetries Reduction and Integrability [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marmo, Giuseppe +2 more
openaire +2 more sources
ABSTRACT Background Apolipoprotein ε4 (APOE ε4) is a potent genetic risk factor for Alzheimer's disease (AD). However, its role in cerebral small vessel disease (CSVD) remains unclear. Given the clinical and pathological similarities between CSVD and AD, this study aimed to investigate the associations of APOE ε4 gene dosage with cognitive function and
Tingru Jin +6 more
wiley +1 more source
Coupled Burgers equations governing polydispersive sedimentation; a Lie symmetry approach
We study coupled Burgers equations that model polydispersive sedimentation from Lie symmetry standpoint. We perform Lie group analysis technique on the system and obtain symmetry reductions. Travelling wave solutions are constructed using the translation
Chaudry Masood Khalique +1 more
doaj +1 more source
Assuming that there exist at least two fermionic parameters, the classical N= 1 supersymmetric Korteweg-de Vries (SKdV) system can be transformed to some coupled bosonic systems.
Gao, Xiao Nan +2 more
core +1 more source
PDEs reduction and \(lambda\)-symmetries
Lie symmetry theory provide us, via symmetry reductions, with one of the most important approaches to the explicit construction of closed-form solutions for nonlinear differential equations. For ordinary differential equations \textit{C. Muriel} and \textit{J. L. Romero} [IMA J. Appl. Math. 66, No.
G. Gaeta, P. Morando
openaire +4 more sources

