Results 111 to 120 of about 1,287,488 (289)

Research on the Existence and Uniqueness of Solutions to Fractional Diffusion Equations with Three-Parameter Damping Terms

open access: yesAxioms
This paper investigates a fractional diffusion equation incorporating a three-parameter damping. By employing a generalized Mittag–Leffler function alongside the associated Riemann–Liouville resolvent family, we establish the well-posedness of strong ...
Zhi-Chao Lu, Shi-You Lin, Ting-Ting Hu
doaj   +1 more source

Regulation of the lncRNA NEAT1 by p53‐ΔNp63 crosstalk modulates the DNA damage response and therapeutic efficacy in HNSCC

open access: yesMolecular Oncology, EarlyView.
In head and neck squamous cell carcinoma (HNSCC) p53 and p63 exert opposite roles on the transcription regulation of the lncRNA NEAT1. Under basal conditions, p53 levels are low and p63 represses NEAT1 expression. Upon genotoxic stress, p53 is rapidly induced, displacing p63 from the NEAT1 promoter leading to NEAT1 transcriptional activation and ...
Sara De Domenico   +5 more
wiley   +1 more source

APOBEC3 activity and DNA polymerase‐ε deficiency are associated with distinct IDH1 R132 hotspot mutations

open access: yesMolecular Oncology, EarlyView.
Isocitrate dehydrogenase 1 (IDH1) mutations are highly recurrent in multiple human cancer types, including cholangiocarcinoma and glioma. IDH1 R132C is the most common IDH1 mutation in cholangiocarcinoma and likely arises from APOBEC3A‐ or APOBEC3B‐mediated deamination.
Kelly E. Butler   +3 more
wiley   +1 more source

Extracellular matrix remodeling and immune reprogramming drive residual tumor progression of liver cancer after incomplete microwave ablation

open access: yesMolecular Oncology, EarlyView.
Incomplete microwave ablation (iMWA) of liver cancer triggers a biphasic progression in residual tumors. At Day 3, the microenvironment is characterized by acute inflammatory responses and extracellular matrix (ECM) remodeling. By Day 14, a profound shift occurs toward oncogenic signal transduction and immunosuppression, marked by macrophage ...
Yu Liu   +9 more
wiley   +1 more source

Study of Uniqueness and Ulam-Type Stability of Abstract Hadamard Fractional Differential Equations of Sobolev Type via Resolvent Operators

open access: yesAxioms
This paper focuses on studying the uniqueness of the mild solution for an abstract fractional differential equation. We use Banach’s fixed point theorem to prove this uniqueness.
Khellaf Ould Melha   +3 more
doaj   +1 more source

SPHINX31 acts as a SRPK1 inhibitor targeting the ATR/DNA‐PKcs/CHK1 replicative checkpoint to inhibit cell growth in non‐small cell lung cancer

open access: yesMolecular Oncology, EarlyView.
The kinase SRPK1 directly interacts with the protein TOPBP1 and regulates the pre‐mRNA splicing of WIZ thereby contributing to the activation of the ATR/CHK1 replicative checkpoint in response to replicative stress. This allows cancer cells' genomic stability and survival.
Amani Shreim   +17 more
wiley   +1 more source

Existence and Successive Approximations of Mild Solution for Integro-differential Equations in Banach Spaces

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science
This paper discusses the global convergence of successive approximations methods for solving integro-differential equation via resolvent operators in Banach spaces.
Bensatal Kattar Enada   +2 more
doaj   +1 more source

Resolvent operators for integral equations in a Banach space

open access: yes, 1982
Conditions are given which ensure the existence of a resolvent operator for an integrodifferential equation in a Banach space. The resolvent operator is similar to an evolution operator for nonautonomous differential equations in a Banach space.
R. C. Grimmer
core   +1 more source

Mutant p53R273H disrupts PDPK1 homodimerization and contributes to PDPK1 activation

open access: yesMolecular Oncology, EarlyView.
How mutant p53R273H drives AKT signaling is unclear. We show that p53R273H, but not wild‐type, directly binds PDPK1 via a mutation‐dependent conformational change. This interaction disrupts inhibitory PDPK1 homodimerization and enhances AKT phosphorylation.
Mei Chee Lim   +11 more
wiley   +1 more source

A quasi-periodic boundary value problem for the Laplacian and the continuation of its resolvent

open access: yes, 1979
SynopsisA quasi-periodic boundary value problem for the Helmholtz equation in an unbounded domain is considered. This problem arises from scattering of plane waves by periodic structures.Existence and uniqueness theorems are proved, and the continuation ...
H. D. Alber
core   +1 more source

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