Results 41 to 50 of about 21,792 (245)

Generalized Briot-Bouquet Differential Equation Based on New Differential Operator with Complex Connections

Axioms, 2020
A class of Briot–Bouquet differential equations is a magnificent part of investigating the geometric behaviors of analytic functions, using the subordination and superordination concepts. In this work, we aim to formulate a new differential operator with
Rabha W. Ibrahim, Rafida M. Elobaid, Suzan J. Obaiys   +2 more
doaj   +1 more source

Evolution equations for abstract differential operators

Journal of Mathematical Analysis and Applications, 2002
The author considers evolution equations (EQs) of the form \[ \begin{aligned} u'(t) &= \sum_{|\mu|\leq m} a_\mu(t) A^\mu u(t)+ f(t),\quad 0\leq t\leq T,\\ u(0) &= x,\end{aligned} \] where \(A^\mu= A^{\mu_1}_1\cdots A^{\mu_n}_n\) and \(iA_j\) are commuting generators of bounded \(C_0\)-groups on a Banach space \(X\).
openaire   +1 more source

Higher order nonlinear degenerate differential operator equations

Applied Mathematics Letters, 2009
The authors present optimal regularity results in \(L^p(0,a;E)\) for nonlocal boundary value problems for higher order nonlinear degenerate differential operator equations of the type \[ (-1)^m u^{[2m]}(x) +\sum_{i=0}^{2m-1} A_i(x) u^{[i]}(x)+Au(x)=F(x,u, u^{[1]},\dots,u^{[2m-1]}) \] with boundary conditions \[ \sum_{i=0}^{m_k}\alpha_{ki}u^{[i]}(0 ...
Agarwal, Ravi P., O’Regan, Donal, Shakhmurov, Veli   +2 more
openaire   +3 more sources

Tau acetylation at K331 has limited impact on tau pathology in vivo

FEBS Letters, EarlyView.
We mapped tau post‐translational modifications in humanized MAPT knock‐in mice and in amyloid‐bearing double knock‐in mice. Acetylation within the repeat domain, particularly around K331, showed modest increases under amyloid pathology. To test functional relevance, we generated MAPTK331Q knock‐in mice.
Shoko Hashimoto, Yukio Matsuba, Mika Takahashi, Takaomi C. Saido   +3 more
wiley   +1 more source

Structural insights into an engineered feruloyl esterase with improved MHET degrading properties

FEBS Letters, EarlyView.
A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa, Konstantinos Makryniotis, Theofani‐Iosifina Sousani, Evangelos Topakas, Vangelis Daskalakis, Maria Dimarogona   +5 more
wiley   +1 more source

Glycosylated LGALS3BP is highly secreted by bladder cancer cells and represents a novel urinary disease biomarker

Molecular Oncology, EarlyView.
Urinary LGALS3BP is elevated in bladder cancer patients compared to healthy controls as detected by the 1959 antibody–based ELISA. The antibody shows enhanced reactivity to the high‐mannose glycosylated variant secreted by cancer cells treated with kifunensine (KIF).
Asia Pece, Giulio Lovato, Ilaria Cela, Arianna Mercatelli, Benedetta Ferro, Jussi Nikkola, Sara Pagotto, Tommaso Grottola, Vincenzo De Laurenzi, Rossella Cicchetti, Antonio Marchetti, Luigi Schips, Rossano Lattanzio, Stefano Iacobelli, Emily Capone, Peter Black, Mads Daugaard, Michele Marchioni, Gianluca Sala   +18 more
wiley   +1 more source

Solution of an Initial Boundary Value Problem for a Multidimensional Fourth-Order Equation Containing the Bessel Operator

Mathematics
In the present work, the transmutation operator approach is employed to construct an exact solution to the initial boundary-value problem for multidimensional free transverse equation vibration of a thin elastic plate with a singular Bessel operator ...
Shakhobiddin Karimov, Yorkinoy Tulasheva
doaj   +1 more source

Iterator Operator Norm Estimation for Solutions to a Class of Elliptic Equations in Orlicz Space

Journal of Harbin University of Science and Technology, 2023
To study the related estimation of iterative operators on differential form, we apply the Jensen inequality, Young equation , G (p, q, C) class function and Whithey coverage theorem to extend the Lp estimation of A-harmonic equation of Green and Dirac ...
LÜ Yue ming, LI Xiao huan
doaj   +1 more source

CDK11 inhibition induces cytoplasmic p21WAF1 splice variant by p53 stabilisation and SF3B1 inactivation

Molecular Oncology, EarlyView.
CDK11 inhibition stabilises the tumour suppressor p53 and triggers the production of an alternative p21WAF1 splice variant p21L, through the inactivation of the spliceosomal protein SF3B1. Unlike the canonical p21WAF1 protein, p21L is localised in the cytoplasm and has reduced cell cycle‐blocking activity.
Radovan Krejcir, Lukasz Arcimowicz, Lucia Martinkova, Vaclav Hrabal, Filip Zavadil Kokas, Tomas Henek, Martina Kucerikova, Ondrej Bonczek, Pavlina Zatloukalova, Lenka Hernychova, Philip J. Coates, Borivoj Vojtesek, David P. Lane   +12 more
wiley   +1 more source

Hamiltonian and recursion operators for a discrete analogue of the Kaup-Kupershmidt equation [PDF]

Open Communications in Nonlinear Mathematical Physics
In this paper we study the algebraic properties of a new integrable differential-difference equation. This equation can be seen as a deformation of the modified Narita-Itoh-Bogoyavlensky equation and has the Kaup-Kupershmidt equation in its continuous ...
Edoardo Peroni, Jing Ping Wang
doaj   +1 more source