Results 101 to 110 of about 230,291 (288)

Evolution Equations with Liouville Derivative on $\mathbb{R}$ without Initial Conditions

Mathematics
New classes of evolution differential equations with the Liouville derivative in Banach spaces are studied. Equations are considered on the whole real line and are not endowed by the initial conditions.
Vladimir E. Fedorov, Nadezhda M. Skripka
doaj   +1 more source

Admissible transformations and Lie symmetries of linear systems of second-order ordinary differential equations

Journal of Mathematical Analysis and Applications
We revisit the results on admissible transformations between normal linear systems of second-order ordinary differential equations with an arbitrary number of dependent variables under several appropriate gauges of the arbitrary elements parameterizing these systems. For each class from the constructed chain of nested gauged classes of such systems, we
Boyko, Vyacheslav M., Lokaziuk, Oleksandra V., Popovych, Roman O.   +2 more
openaire   +4 more sources

Colorectal cancer‐derived FGF19 is a metabolically active serum biomarker that exerts enteroendocrine effects on mouse liver

Molecular Oncology, EarlyView.
Meta‐transcriptome analysis identified FGF19 as a peptide enteroendocrine hormone associated with colorectal cancer prognosis. In vivo xenograft models showed release of FGF19 into the blood at levels that correlated with tumor volumes. Tumoral‐FGF19 altered murine liver metabolism through FGFR4, thereby reducing bile acid synthesis and increasing ...
Jordan M. Beardsley, Michael W. Rohr, Joseph A. Goode, Sai Preethi Nakkina, Jignesh G. Parikh, Deborah A. Altomare   +5 more
wiley   +1 more source

Targeted modulation of IGFL2‐AS1 reveals its translational potential in cervical adenocarcinoma

Molecular Oncology, EarlyView.
Cervical adenocarcinoma patients face worse outcomes than squamous cell carcinoma counterparts despite similar treatment. The identification of IGFL2‐AS1's differential expression provides a molecular basis for distinguishing these histotypes, paving the way for personalized therapies and improved survival in vulnerable populations globally.
Ricardo Cesar Cintra, Lucca Paolo Hsu Helmich, Daniel Rodrigues de Bastos, Laura Sichero, Patrícia Savio de Araujo‐Souza, Fabio Passetti, Luisa Lina Villa   +6 more
wiley   +1 more source

Exponential separation, exponential dichotomy and spectral theory for linear systems of ordinary differential equations

Journal of Differential Equations, 1982
AbstractThis paper is concerned with linear nonautonomous systems of ordinary differential equations. A criterion for exponential separation in terms of exponential dichotomy is given. As corollaries we obtain the roughness theorem for exponential separation and the new result that an upper triangular system on a half-line is exponentially separated if
openaire   +1 more source

RIPK4 function interferes with melanoma cell adhesion and metastasis

Molecular Oncology, EarlyView.
RIPK4 promotes melanoma growth and spread. RIPK4 levels increase as skin lesions progress to melanoma. CRISPR/Cas9‐mediated deletion of RIPK4 causes melanoma cells to form less compact spheroids, reduces their migratory and invasive abilities and limits tumour growth and dissemination in mouse models.
Norbert Wronski, Sławomir Lasota, Ewelina Madej, Anna A. Brożyna, Małgorzata Szczygieł, Agnieszka Harazin‐Lechowska, Jan Czerbniak, Janusz Rys, Jaroslaw Czyz, Agnieszka Wolnicka‐Glubisz   +9 more
wiley   +1 more source

Carleman linearization of differential-algebraic equations systems

Results in Applied Mathematics
Carleman linearization is a mathematical technique that transforms nonlinear dynamical systems into infinite-dimensional linear systems, enabling simplified analysis.
Marcos A. Hernández-Ortega, C.M. Rergis, A. Román-Messina, Erlan R. Murillo-Aguirre   +3 more
doaj   +1 more source

KLK7 overexpression promotes an aggressive phenotype and facilitates peritoneal dissemination in colorectal cancer cells

FEBS Open Bio, EarlyView.
KLK7, a tissue kallikrein‐related peptidase, is elevated in advanced colorectal cancer and associated with shorter survival. High KLK7 levels in ascites correlate with peritoneal metastasis. In mice, KLK7 overexpression increases metastasis. In vitro, KLK7 enhances cancer cell proliferation, migration, adhesion, and spheroid formation, driving ...
Yosr Z. Haffani, Tobias Dreyer, Meriem Naim, Rea Lo Dico, Natalia A. Ignatenko, Viktor Magdolen, Dalila Darmoul   +6 more
wiley   +1 more source

Nuclear pore links Fob1‐dependent rDNA damage relocation to lifespan control

FEBS Open Bio, EarlyView.
Damaged rDNA accumulates at a specific perinuclear interface that couples nucleolar escape with nuclear envelope association. Nuclear pores at this site help inhibit Fob1‐induced rDNA instability. This spatial organization of damage handling supports a functional link between nuclear architecture, rDNA stability, and replicative lifespan in yeast.
Yamato Okada, Mina Iwaki, Kyosuke Hagiri, Rei Izumi, Masahiko Harata, Chihiro Horigome   +5 more
wiley   +1 more source

Promiscuous stimulation of HSP70 ATPase activity by parasite‐derived J‐domains

FEBS Open Bio, EarlyView.
The malaria parasite Plasmodium falciparum exports three highly homologous yet functionally divergent J‐domain proteins into human erythrocytes. Here, we show that J‐domains isolated from all three proteins effectively stimulate the ATPase activity of both endogenous host and exported parasite HSP70 chaperones.
Julian Barth, Moritz Koch, Le‐Han Rössner, Johanna Eichhorn, Denys Pogoryelov, Matthias P. Mayer, Jude M. Przyborski   +6 more
wiley   +1 more source