Results 71 to 80 of about 770,616 (284)
Pharmacological inhibition of PERK in a DEN‐induced mouse model of liver cancer does not reduce tumor burden but alters cellular stress signaling. Despite blocking PERK activity, downstream stress responses, including CHOP expression, remain active, suggesting compensatory mechanisms within the unfolded protein response that may influence tumor ...
Ada Lerma‐Clavero +5 more
wiley +1 more source
Approximate numerical radius orthogonality
We introduce the notion of approximate numerical radius (Birkhoff) orthogonality and investigate its significant properties. Let $T, S\in \mathbb{B}(\mathscr{H})$ and $\varepsilon \in [0, 1)$. We say that $T$ is approximate numerical radius orthogonal to $S$ and we write $T\perp^{\varepsilon}_ S$ if $$ ^2(T+ S)\geq ^2(T)-2\varepsilon (T) ( S)
Amyari, Maryam +1 more
openaire +2 more sources
Developmental, Neuroanatomical and Cellular Expression of Genes Causing Dystonia
ABSTRACT Objective Dystonia is one of the most common movement disorders, with variants in multiple genes identified as causative. However, an understanding of which developmental stages, brain regions, and cell types are most relevant is crucial for developing relevant disease models and therapeutics.
Darren Cameron +5 more
wiley +1 more source
Springback is a common defect caused by elastic recovery in the plastic forming process, which can cause the formed workpiece to deviate from the target shape.
Chuandong Chen +4 more
doaj +1 more source
The decomposable numerical radius and numerical radius of a compound matrix
Given an \(n\times n\) complex matrix A with singular values \(\alpha_ 1\geq \alpha_ 2\geq...\geq \alpha_ n\) and eigenvalues \(\lambda_ 1,\lambda_ 2,...,\lambda_ n\), where \(| \lambda_ 1| \geq | \lambda_ 2| \geq...\geq | \lambda_ n|\), denote by \(C_ m(A)\) the m-th compound of A(1\(\leq m\leq n)\) and by \(r_ d(C_ m(A))\) and \(r(C_ m(A))\) the ...
openaire +1 more source
Numerical Radius Inequalities for Hilbert Space Operators [PDF]
In this work, an improvement of H lder-McCarty inequality is established. Based on that, several refinements of the generalized mixed Schwarz inequality are obtained. Consequently, some new numerical radius inequalities are proved. New inequalities for numerical radius of $n\times n$ matrix of Hilbert space operators are proved as well.
openaire +3 more sources
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
Upper Bounds for the Numerical Radius of Off-Diagonal 2 × 2 Operator Matrices
We establish multiple novel upper estimates for the numerical radius associated with off-diagonal operator matrices defined on a complex Hilbert space H.
Najla Altwaijry +1 more
doaj +1 more source
ABSTRACT Objective Cognitive decline is a disabling and variable feature of Parkinson disease (PD). While cholinergic system degeneration is linked to cognitive impairments in PD, most prior research reported cross‐sectional associations. We aimed to fill this gap by investigating whether baseline regional cerebral vesicular acetylcholine transporter ...
Taylor Brown +6 more
wiley +1 more source
We introduce some basic theory about numerical range and numerical radius. Basic inequalities for numerical radius which involve one operator and basic inequalities which involve product of two commutative operators are studied. We then introduce more complex numerical radius inequalities for one operator, finding some upper bounds for the nonnegative ...
openaire +1 more source

