Results 81 to 90 of about 1,761,784 (288)

On Mikusinski's operators of fractional integration

open access: yes, 1975
In the field F of convolution quotients,  b∝ is the operator of integration of fractional order ∝ and b∝ f   Is the Riemann - Liouville integral of order   ∝ of f. In this paper we give a generalization of this operator, which is denoted as b∝,va . Some particular cases are mentioned and the inverse operator is obtained.
Batting, A., Kalla, S. L.
openaire   +2 more sources

Oncogenic DMTF1β promotes cancer cell motility by regulating autophagy through ULK1 stabilization

open access: yesMolecular Oncology, EarlyView.
In the current study, we demonstrate that the oncogene DMTF1β regulates ULK1 stability by reducing its proteasomal degradation in cancer cells. This stabilization enables ULK1 to induce autophagy, which in turn facilitates cancer cell migration. Consequently, reduced DMTF1β levels lead to decreased autophagy and impaired cancer cell migration.
Jun Xu   +13 more
wiley   +1 more source

Some estimations on continuous random variables for (k, s) −fractional integral operators

open access: yesMoroccan Journal of Pure and Applied Analysis, 2020
In this work, we establish some new (k, s) −fractional integral inequalities of continuous random variables by using the (k, s) −Riemann-Liouville fractional integral operator.
Houas Mohamed
doaj   +1 more source

Quadruple integral equations and operators of fractional integration [PDF]

open access: yesGlasgow Mathematical Journal, 1971
Cooke [1] modified a technique used by Erdelyi and Sneddon [2] to solve triple integral equations of a certain type. In this paper, we extend this method to solve the quadruple integral equationswhere F1, G2, F3 and G4 are prescribed functions of p and ψ(ξ) is to be determined. With no loss of generality we shall assume that G2(p)≡0, G4(p)≡0.
openaire   +2 more sources

Epigenetic heterogeneity and plasticity in therapy‐induced tumor states through single‐cell multi‐omics

open access: yesMolecular Oncology, EarlyView.
Single‐cell multi‐omics reveals epigenetic heterogeneity across therapy‐adaptive tumor states, including quiescent/dormant, drug‐tolerant persister, and EMT‐like phenotypes. By linking regulatory features with state‐associated biomarkers, these approaches inform biomarker‐guided therapeutic strategies for evolving tumors.
Hee Jung Kim   +3 more
wiley   +1 more source

On Some Grüss-Type Fractional Inequalities Using Saigo Fractional Integral Operator

open access: yesJournal of Mathematics, 2014
The main aim of this paper is to establish some new fractional integral inequalities of Grüss-type via the Saigo fractional integral operator.
Vaijanath L. Chinchane   +1 more
doaj   +1 more source

On positive solutions of a system of equations generated by Hadamard fractional operators

open access: yesAdvances in Difference Equations, 2020
This paper is devoted to studying some systems of quadratic differential and integral equations with Hadamard-type fractional order integral operators.
Amira M. Abdalla   +2 more
doaj   +1 more source

An integral operator on the classes \(\mathcal{S}^{\ast}(\alpha )\) and \(\mathcal{CVH}(\beta )\)

open access: yes, 2015
The purpose of this paper is to study some properties related to convexity order and coefficients estimation for a general integral operator. We find the convexity order for this operator, using the analytic functions from the class of starlike functions
Ularu, Nicoleta, Breaz, Nicoleta
core   +1 more source

PAK1 activation drives divergent resistance mechanisms to aromatase inhibition and tamoxifen in a luminal: A breast cancer model

open access: yesMolecular Oncology, EarlyView.
Breast cancer remains a major cause of cancer death in women, frequently developing endocrine therapy resistance. This study demonstrates that upregulated p21‐activated kinase 1 (PAK1) activity drives resistance to tamoxifen and long‐term estrogen deprivation in ER+ breast cancer models.
Luisa Schwarzmüller   +10 more
wiley   +1 more source

Spatial and single‐nuclei transcriptomics reveals idiosyncratic and generic patterns in papillary and anaplastic thyroid cancers

open access: yesMolecular Oncology, EarlyView.
Matched spatial transcriptomics and single‐nuclei RNA‐seq were generated for anaplastic and BRAFV600E papillary thyroid cancers revealing generic and tumor‐specific states occurring in cancer cells and in the tumor microenvironment. In this context, cancer dedifferentiation mirrored organoid maturation through ordered thyroid marker gain/loss ...
Adrien Tourneur   +11 more
wiley   +1 more source

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