Non-ergodicity, fluctuations, and criticality in heterogeneous diffusion processes
We study the stochastic behavior of heterogeneous diffusion processes with the power-law dependence $D(x)\sim|x|^{\alpha}$ of the generalized diffusion coefficient encompassing sub- and superdiffusive anomalous diffusion.
Cherstvy, Andrey G., Metzler, Ralf
core +1 more source
Lessons Learned From a Delayed‐Start Trial of Modafinil for Freezing of Gait in Parkinson's Disease
ABSTRACT Objective Freezing of gait (FOG) in people with Parkinson's disease (PwPD) is debilitating and has limited treatments. Modafinil modulates beta/gamma band activity in the pedunculopontine nucleus (PPN), like PPN deep brain stimulation. We therefore tested the hypothesis that Modafinil would improve FOG in PwPD.
Tuhin Virmani +8 more
wiley +1 more source
Shared Genetic Effects and Antagonistic Pleiotropy Between Multiple Sclerosis and Common Cancers
ABSTRACT Objective Epidemiologic studies have reported inconsistent altered cancer risk in individuals with multiple sclerosis (MS). Factors such as immune dysregulation, comorbidities, and disease‐modifying therapies may contribute to this variability.
Asli Buyukkurt +5 more
wiley +1 more source
New Mixed Exponential Sums and Their Application
The main purpose of this paper is to introduce a new mixed exponential sums and then use the analytic methods and the properties of Gauss sums to study the computational problems of the mean value involving these sums and give an interesting ...
Yu Zhan, Xiaoxue Li
doaj +1 more source
On the Fourth Power Mean of a Sum Analogues to Character Sums Over Short Intervals
The paper under review deals with the sum \(\sum_{1\leq n\leq N}(-1)^n\chi(n)\), where \(\chi\) denotes a Dirichlet character modulo \(q\geq 2\). The first theorem gives the following asymptotic formula \[ \sum_{\chi\bmod q}\Bigl|\sum_{n\leq N}(-1)^nn^k\chi(n)\Bigr|^4=\frac{80\ln N-50\ln 2}{(2k+1)^3n^2}\frac{\varphi^4(q)}{q^3}N^{4k+2}\prod_{p|q}\frac{p}
Tian, Qing, He, Yanfeng, Zhang, Wenpeng
openaire +3 more sources
CX3CL1 in Early Detection of Alzheimer's Disease: Plasma Dynamics Across Age and Disease Stages
ABSTRACT Backgrounds Alzheimer's disease (AD) is characterized by amyloid‐beta plaques, tau tangles, and neuroinflammation. C‐X3‐C motif chemokine ligand 1 (CX3CL1, also known as fractalkine), a neuroimmune chemokine implicated in AD pathogenesis, shows inconsistent alterations in plasma/serum across studies.
Ling Wang +6 more
wiley +1 more source
A note on the fourth power moment of the Riemann zeta-function
We give explicit formulae for all of the terms in the asymptotic expansion of the mean fourth power of the Riemann zeta-function on the critical ...
Conrey, J. Brian
core +1 more source
Value of MRI Outcomes for Preventive and Early‐Stage Trials in Spinocerebellar Ataxias 1 and 3
ABSTRACT Objective To examine the value of MRI outcomes as endpoints for preventive and early‐stage trials of two polyglutamine spinocerebellar ataxias (SCAs). Methods A cohort of 100 participants (23 SCA1, 63 SCA3, median Scale for the Assessment and Rating of Ataxia (SARA) score = 5, 42% preataxic, and 14 gene‐negative controls) was scanned at 3T up ...
Thiago J. R. Rezende +26 more
wiley +1 more source
Fluid Biomarkers of Disease Burden and Cognitive Dysfunction in Progressive Supranuclear Palsy
ABSTRACT Objective Identifying objective biomarkers for progressive supranuclear palsy (PSP) is crucial to improving diagnosis and establishing clinical trial and treatment endpoints. This study evaluated fluid biomarkers in PSP versus controls and their associations with regional 18F‐PI‐2620 tau‐PET, clinical, and cognitive outcomes.
Roxane Dilcher +10 more
wiley +1 more source
A complex filter-based adaptive integral grid synchronisation algorithm for a PV system
The issues such as deterioration of power quality owing to nonlinear loads, sudden changes in load demand, switch to dynamic loads, the occurrence of fault at the load or grid side is addressed using proposed DQ frame Complex Filter-based Adaptive ...
Satish Choudhury +2 more
doaj +1 more source

