Results 121 to 130 of about 20,465 (306)

On the generalized fractal calculus of variations

In this paper, we provide a brief overview of fractal calculus and present a comprehensive study of the calculus of variations for functionals on fractal sets.
Furuichi, Shigeru, Cattani, Carlo, Park, Choonkil, Khalili Golmankhaneh, Alireza   +3 more
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Deciphering transcriptional plasticity in pancreatic ductal adenocarcinoma reveals alterations in sensory neuron innervation

Molecular Oncology, EarlyView.
Pancreatic sensory neurons innervating healthy and PDAC tissue were retrogradely labeled and profiled by single‐cell RNA sequencing. Tumor‐associated innervation showed a dominant neurofilament‐positive subtype, altered mitochondrial gene signatures, and reduced non‐peptidergic neurons.
Elena Genova, Michele Montrone, Uday Rangaswamy, Francesco Diversi, Irene Schiavo, Denise Ferrarini, Roberta Di Florio, Irene Longo, Michele Coscia, Nicola Zamboni, Giorgia Demontis, Lisa Veghini, Vincenzo Corbo, Remo Sanges, Paul Heppenstall   +14 more
wiley   +1 more source

Exploring Variational Methods in Hydro- and Hemodynamics Through Incompressible Velocity Distribution Sampling

IEEE Access
Artificial neural networks are a robust tool for approximating spatial and temporal functions. This study introduces a novel method for hydro- and hemodynamics based on the minimization of a power loss.
Ivan Stebakov, Alexei Kornaev, Elena Kornaeva, Sergey Majorov   +3 more
doaj   +1 more source

Double integral calculus of variations on time scales

, 2006
We consider a version of the double integral calculus of variations on time scales, which includes as special cases the classical two-variable calculus of variations and the discrete two-variable calculus of variations.
Bohner, Martin, Guseinov, Gusein Sh., Martin Bohner, Gusein Sh. Guseinov   +3 more
core   +1 more source

Differential expression of cancer‐related genes supports prediction of poor response to first‐line treatments in T‐ALL pediatric patients with high minimal residual disease

Molecular Oncology, EarlyView.
In the present work, we have identified a transcriptional signature based on the differential expression of six genes (BCL2&MAST4, HSH2D&LAT2, METRN&PITPNM2) that would facilitate the early detection of T‐cell acute lymphoblastic leukemia (T‐ALL) patients prone to a poor treatment response and could be implemented at diagnosis, along with other risk ...
Antonio Lahera, Laura Vela‐Martín, Pablo Fernández‐Navarro, José Luis López‐Lorenzo, Javier Cornago, Pilar Llamas, Eduardo Pérez‐Gómez, José Luis Marín‐Rubio, Manuel Fresno, Javier Santos, José Fernández‐Piqueras, María Villa‐Morales   +11 more
wiley   +1 more source

CCDC80 suppresses high‐grade serous ovarian cancer migration via negative regulation of B7‐H3

Molecular Oncology, EarlyView.
PAX8 is a lineage‐specific master regulator of transcription in high‐grade serous ovarian cancer (HGSC) progression. We show for the first time that PAX8 facilitates proliferation and metastasis by repressing the cell autonomous tumor suppressor CCDC80 and inducing B7‐H3 expression.
Aya Saleh, Nitzan Medina‐Itzhaki, Milena Chekov, Eden Gal‐Swisa, Roba Gabesh‐Wahabi, Inbar Savyon, Inna Naroditsky, Hilary A. Kenny, Basem Fares, Lina Korsensky, Einav Girsh, Liron Berger, Ruth Perets   +12 more
wiley   +1 more source

Calculus of Variations

, 2010
Since its invention by Newton, the calculus of variations has formed one of the central techniques for studying problems in geometry, physics, and partial differential equations. This trend continues even today.

core   +1 more source

E2A selectively regulates TGF‐β–induced apoptosis in KRAS‐mutant non‐small cell lung cancer

Molecular Oncology, EarlyView.
Ability to induce apoptosis by TGF‐β is frequently lost in advanced lung adenocarcinoma despite intact TGF‐β signaling. We identify E2A as a mutant KRAS–dependent mediator of resistance to TGF‐β–induced apoptosis. TGF‐β induces E2A via SMAD3 in mutant KRAS cells, and E2A silencing restores apoptosis and enhances radiation response in cell lines ...
Sergei Chuikov, Shiva Krishna Katkam, Zhefan Wang, Venkateshwar G. Keshamouni   +3 more
wiley   +1 more source

Fractional Euler–Lagrange Equations Under Periodic and Antiperiodic Boundary Conditions

Fractal and Fractional
In this work, we derive necessary optimality conditions for a class of fractional variational problems involving Caputo-type derivatives. We consider functionals defined on appropriate spaces of absolutely continuous functions and study both periodic and
Ricardo Almeida
doaj   +1 more source

A Study of the Calculus of Variations

, 2009
This thesis is an introductory study of the calculus of variations. We will begin by introducing the field of the calculus of variations, its history and describe the classical problems of the calculus of variations.
Willert, Jeffrey Alan
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