Structure and Applications of $(p, q)$-Derivations in Algebra
In this paper, we investigate $(p, q)$-derivations in both general algebras and Banach algebras. Our main result extends the Singer-Wermer theorem to $(p, q)$-derivations, proving that their ranges are contained in the radical of the algebra. As a direct consequence, we prove that the range of any left derivation lies within the radical of the algebra ...
Mehdipour, Mohammad Javad +1 more
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Malformin A1–mediated cytotoxicity in ovarian cancer cells occurs through pyroptosis and autophagy
This study investigated the effects of the natural compound Malformin A1 (MA1) on the cytoskeleton that regulates cell proliferation and migration. Disruption of the cytoskeleton can impair these processes and promote cancer cell death. MA1 disrupted cytoskeletal organization, induced DNA damage, inflammation, activated autophagy, and pyroptosis ...
Nada Abdullah Hassan +11 more
wiley +1 more source
We describe detailed protocols for the purification and preparation of Marchantia polymorpha Auxin Response Factor 2 (MpARF2). This protein is fused to an MBP solubility tag and an mNG fluorescent tag and is purified from Escherichia coli. The presented procedures make it possible to study MpARF2 assemblies, which could arise from phase separation ...
Bas Janssen +5 more
wiley +1 more source
Existence and Uniqueness of Some Cauchy Type Problems in Fractional q-Difference Calculus [PDF]
In this paper we derive a sufficient condition for the existence of a unique solution of a Cauchy type q-fractional problem (involving the fractional q-derivative of Riemann-Liouville type) for some nonlinear differential equations.
Shaimardan, S., +8 more
core +1 more source
Dual native G‐quadruplex folding is associated with chromatin looping at the MYC locus
BG4‐detectable G‐quadruplex (G4) in HaCaT and NHEK keratinocytes identified folded and unfolded G4s enriched at promoters/TSSs and active enhancers, whereas unfolded G4s also overlapped weak/poised enhancers. At MYC–PVT1, 3C‐qPCR detected enhancer–promoter looping only when G4s were simultaneously folded at both regulatory elements under native ...
Dieila Giomo de Lima +7 more
wiley +1 more source
On Fekete-Szego Problem Associated with q-derivative Operator
In this paper, we define a new derivative operator associated with quantum calculus. Motivated by this new operator, we introduce two new classes of analytic functions and obtain the Fekete-Szego inequality.
Abdullah Alsoboh, Maslina Darus
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Second Hankel determinant for a class of analytic functions defined by q-derivative operator
In this paper, we obtain the estimates for the second Hankel determinant for a class of analytic functions defined by q-derivative operator and subordinate to an analytic function.
Răducanu Dorina
doaj +1 more source
Convex Families of q-Derivative Meromorphic Functions Involving the Polylogarithm Function
The aim of this research study is to establish a novel subclass of meromorphic functions in the mean of q-derivatives in combination with the well-known polylogarithm function. Two additional subfamilies for this class are also defined. Furthermore, the coefficient inequality and distortion bounds are highlighted.
openaire +2 more sources
GelMA‐based 3D spheroids recapitulate transcriptomic and functional hallmarks of myeloid sarcoma
GelMA 5% hydrogels support the formation of myeloid leukemia spheroids that recapitulate MS‐specific features, including G1 arrest, apoptosis, and ECM‐driven transcriptomic reprogramming. The 3D model mimicked soft‐tissue‐like stiffness and oxygen conditions, and transcriptomic convergence with primary MS samples confirmed its utility as a preclinical ...
Nicolas Germain +11 more
wiley +1 more source
Normal Reference Bandwidths for the General Order, Multivariate Kernel Density Derivative Estimator [PDF]
This note derives the general form of the approximate mean integrated squared error for the q-variate, th-order kernel density r th derivative estimator. This formula allows for normal reference rule-of-thumb bandwidths to be derived.
Christopher F. Parmeter +1 more
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