Results 71 to 80 of about 11,466,083 (284)

Lie Group Symmetries as Integral Transforms of Fundamental Solutions [PDF]

open access: yes
We obtain fundamental solutions for PDEs of the form ut = x uxx +f(x)ux ??xru by showing that if the symmetry group of the PDE is nontrivial, it contains a standard integral transform of the fundamental solution. We show that in this case, the problem of
Mark Craddock, Kelly A Lennox
core  

Intrapatient tumour heterogeneity and clonal evolution in an autopsy study of metastatic salivary gland cancer

open access: yesMolecular Oncology, EarlyView.
Tumour heterogeneity and clonal evolution of metastatic salivary gland cancer were evaluated in two patients with adenoid carcinoma and one patient with myoepithelial carcinoma. Radiology‐guided autopsy enabled multi‐region sampling (total samples n = 149), followed by whole‐genome sequencing and phylogenetic reconstruction (17 tumour samples, 4–7 per ...
Gerben Lassche   +10 more
wiley   +1 more source

Homogeneous cones and abelian theorems

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1998
This paper deals with analysis on homogeneous cones in ℝn. This subject has its origins in one-dimensional topics that are connected, often implicitely, with some group properties.
Tatjana Ostrogorski
doaj   +1 more source

On a Chain Involving the Multidimensional Generalized H-Transforms

open access: yes, 2015
[[abstract]]The aim of the present paper is to further study certain multidimensional integral transforms introduced by Srivastava and Panda [9] by establishing a chain interconnecting a finite number of such transforms by the method of mathematical ...
Rashmi Garg
core  

Mechanisms and therapeutic opportunities of the ribotoxic stress response in cancer

open access: yesMolecular Oncology, EarlyView.
Cancer cells' high translational demand creates opportunities to therapeutically target ribosome function. Ribosome stalling and collisions activate ZAKα and the ribotoxic stress response (RSR), which can trigger rapid, p53‐independent apoptosis in cancer.
Anastassiya Kim   +7 more
wiley   +1 more source

General integral transform – its convergence and consequences

open access: yesBoletim da Sociedade Paranaense de Matemática, 2022
Objective of this study is to give a shape of general integral transform for studying its convergence in the general set-up, from which convergences of some well know integral transforms follow easily as well as these integral transforms appear as particular cases of the present integral transform; some more may appear as new but special cases of ...
openaire   +2 more sources

Fractional cyclic transforms in optics: theory and applications

open access: yes, 2001
In this paper we review fractional linear integral transforms, which have been actively used during the last decade in optical information processing. The general algorithm for the fractionalization of the linear cyclic integral transforms is discussed ...
Pandalai, S.G.   +3 more
core  

Bridging the gap: a genetically validated avian chorioallantoic membrane platform for investigation of spontaneous circulating tumor cells

open access: yesMolecular Oncology, EarlyView.
We established the avian chorioallantoic membrane (CAM) assay as a scalable in vivo model for studying circulating tumor cells (CTCs). Human gastrointestinal tumors spontaneously released genetically validated CTCs that were detected across multiple platforms, demonstrating that the CAM model provides an accessible tool for investigating early cancer ...
Dennis Roth   +17 more
wiley   +1 more source

Introduction of New General Laplace-Type Integral Transform: The Iyeme-Okpo Transform

open access: yesJournal of Applied Sciences and Environmental Management
In this paper, a new general Laplace-type integral transform called Iyeme-Okpo transform that generalizes all the existing Laplace-type integral transforms has been introduced. Thus, existing integral transforms such as Laplace, Sumudu, Natural, Jafari,
E. E. Iyeme, O. R. Okpo
doaj  

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

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