Results 71 to 80 of about 13,701,315 (355)

A modification of Hardy-Littlewood maximal function on Lie groups [PDF]

AUT Journal of Mathematics and Computing
For a real-valued function $f$ on a metric measure space $(X,d,\mu)$ the Hardy-Littlewood centered-ball maximal-function of $f$ is given by the `supremum-norm':$$Mf(x):=\sup_{r>0}\frac{1}{\mu(\mathcal{B}_{x,r})}\int_{\mathcal{B}_{x,r}}|f|d\mu.$$In this ...
Maysam Maysami Sadr
doaj   +1 more source

BMP antagonist CHRDL2 enhances the cancer stem‐cell phenotype and increases chemotherapy resistance in colorectal cancer

Molecular Oncology, EarlyView.
Overexpression of CHRDL2 in colon cancer cells makes them more stem‐like and resistant to chemo‐ and radiotherapy. CHRDL2‐high cells have upregulation of the WNT pathway, genes involved in the DNA damage response (DDR) pathway and epithelial‐to‐mesenchymal transition (EMT). This leads to quicker repair of damaged DNA and more cell migration.
Eloise Clarkson, Annabelle Lewis
wiley   +1 more source

Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group

Symmetry, Integrability and Geometry: Methods and Applications, 2007
We describe the reduction procedure for a symplectic Lie algebroid by a Lie subalgebroid and a symmetry Lie group. Moreover, given an invariant Hamiltonian function we obtain the corresponding reduced Hamiltonian dynamics. Several examples illustrate the
David Iglesias, Juan Carlos Marrero, David Martín de Diego, Eduardo Martínez, Edith Padrón   +4 more
doaj  

Controllability of affine right-invariant systems on solvable Lie groups [PDF]

Discrete Mathematics & Theoretical Computer Science, 1997
The aim of this paper is to present some recent results on controllability of right-invariant systems on Lie groups. From the Lie-theoretical point of view, we study conditions under which subsemigroups generated by half-planes in the Lie algebra of a ...
Yuri L. Sachkov
doaj   +1 more source

Decrypting cancer's spatial code: from single cells to tissue niches

Molecular Oncology, EarlyView.
Spatial transcriptomics maps gene activity across tissues, offering powerful insights into how cancer cells are organised, switch states and interact with their surroundings. This review outlines emerging computational, artificial intelligence (AI) and geospatial approaches to define cell states, uncover tumour niches and integrate spatial data with ...
Cenk Celik, Shi Pan, Eloise Withnell, Hou Wang Lam, Maria Secrier   +4 more
wiley   +1 more source

Reduction of Dynamics with Lie Group Analysis

Advances in Mathematical Physics, 2012
This paper is mainly a review concerning singular perturbation methods by means of Lie group analysis which has been presented by the author. We make use of a particular type of approximate Lie symmetries in those methods in order to construct reduced ...
M. Iwasa
doaj   +1 more source

Characterizing the salivary RNA landscape to identify potential diagnostic, prognostic, and follow‐up biomarkers for breast cancer

Molecular Oncology, EarlyView.
This study explores salivary RNA for breast cancer (BC) diagnosis, prognosis, and follow‐up. High‐throughput RNA sequencing identified distinct salivary RNA signatures, including novel transcripts, that differentiate BC from healthy controls, characterize histological and molecular subtypes, and indicate lymph node involvement.
Nicholas Rajan, Irina Primac, Emre Etlioglu, Laurens Debruyne, Ann Janssen, Magy Sallam, Kevin Tabury, Roel Quintens, Wiebren Tjalma, Mohammed Abderrafi Benotmane   +9 more
wiley   +1 more source

Bridging the gap: Multi‐stakeholder perspectives of molecular diagnostics in oncology

Molecular Oncology, EarlyView.
Although molecular diagnostics is transforming cancer care, implementing novel technologies remains challenging. This study identifies unmet needs and technology requirements through a two‐step stakeholder involvement. Liquid biopsies for monitoring applications and predictive biomarker testing emerge as key unmet needs. Technology requirements vary by
Jorine Arnouts, Senada Koljenović, Elise Daems, Karolien De Wael, Marc Peeters, Léon C. van Kempen, Greetje Vanhoutte, Karen Zwaenepoel, Timon Vandamme   +8 more
wiley   +1 more source

The ACCEPTance of automation: refining circulating tumor cells enumeration for improved metastatic colorectal cancer prognosis

Molecular Oncology, EarlyView.
This study highlights the potential of automated enumeration using the ACCEPT software to refine circulating tumor cell (CTC) detection in metastatic colorectal cancer (mCRC). The automated method demonstrates improved accuracy and reduced variability compared to the manual approach.
Michela De Meo, Marco Siringo, Alessandro Vici, Ann Zeuner, Orietta Gandini, Paola Gazzaniga, Chiara Nicolazzo   +6 more
wiley   +1 more source

Classification of the symmetry Lie algebras for six-dimensional co-dimension two Abelian nilradical Lie algebras

AIMS Mathematics
In this paper, we consider the symmetry algebra of the geodesic equations of the canonical connection on a Lie group. We mainly consider the solvable indecomposable six-dimensional Lie algebras with co-dimension two abelian nilradical that have an ...
Nouf Almutiben, Edward L. Boone, Ryad Ghanam, G. Thompson   +3 more
doaj   +1 more source