Results 61 to 70 of about 115,512 (248)

Multiphase modeling and qualitative analysis of the growth of tumor cords

, 2008
In this paper a macroscopic model of tumor cord growth is developed, relying on the mathematical theory of deformable porous media. Tumor is modeled as a saturated mixture of proliferating cells, extracellular fluid and extracellular matrix, that ...
Tosin, Andrea
core   +1 more source

Multidimensional Fractional Wavelet Transforms and Uncertainty Principles [PDF]

arXiv, 2022
In this paper, we have given a new definition of continuous fractional wavelet transform in $\mathbb{R}^N$, namely the multidimensional fractional wavelet transform (MFrWT) and studied some of the basic properties along with the inner product relation and the reconstruction formula.
arxiv  

Concentration-compactness principle for Trudinger–Moser inequalities on Heisenberg groups and existence of ground state solutions [PDF]

Calculus of Variations and Partial Differential Equations, 2018
Let $\mathbb{H}^{n}=\mathbb{C}^{n}\times\mathbb{R}$ be the $n$-dimensional Heisenberg group, $Q=2n+2$ be the homogeneous dimension of $\mathbb{H}^{n}$. We extend the well-known concentration-compactness principle on finite domains in the Euclidean spaces of \ P. L. Lions to the setting of the Heisenberg group $\mathbb{H}^{n}$.
Guozhen Lu, Maochun Zhu, Jungang Li
openaire   +3 more sources

KMT2A degradation is observed in decitabine‐responsive acute lymphoblastic leukemia cells

Molecular Oncology, EarlyView.
We demonstrate that decitabine (DEC) not only degrades the DNA methyltransferase DNMT1 but also the leukemic driver lysine methyltransferase KMT2A likely due to structural similarity of the DNA‐binding CXXC domains. DEC influences KMT2A downstream processes and synergizes with menin inhibitor revumenib (REV) to decrease leukemic cell proliferation, and
Luisa Brock, Lina Benzien, Sandra Lange, Maja Huehns, Alexandra Runge, Catrin Roolf, Anett Sekora, Gudrun Knuebel, Hugo Murua Escobar, Christian Junghanss, Anna Richter   +10 more
wiley   +1 more source

Reflection principles, GCH and the uniformization properties [PDF]

arXiv, 2020
Reflection principles (or dually speaking, compactness principles) often give rise to combinatorial guessing principles. Uniformization properties, on the other hand, are examples of anti-guessing principles. We discuss the tension and the compatibility between reflection principles and uniformization properties at the level of the second uncountable ...
arxiv  

Analysis of comprehensive genomic profiling of solid tumors with a novel assay for broad analysis in clinical diagnostics

Molecular Oncology, EarlyView.
In molecular cancer diagnostics, comprehensive genomic profiling (CGP) is going to replace the small NGS panels since it provides all clinically relevant somatic variants as well as genomic biomarkers with clinical value. Here, we compared two CGP assays and demonstrate that the choice for diagnostic implementation will depend on the specific ...
Guy Froyen, Pieter‐Jan Volders, Ellen Geerdens, Severine Berden, Joni Van der Meulen, Aaron De Cock, Stefanie Vermeire, Jacques Van Huysse, Marie de Barsy, Gabriela Beniuga, Wendy W. J. de Leng, Anne M. L. Jansen, Imke Demers, Zeliha Ozgur, Hendrikus Jan Dubbink, Ernst‐Jan M. Speel, Wilfred F. J. van IJcken, Brigitte Maes   +17 more
wiley   +1 more source

The concentration-compactness principle in the Calculus of Variations. The locally compact case, part 1. [PDF]

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1984
We present here a new method for solving minimization problems in unbounded domains. We first derive a general principle showing the equivalence between the compactness of all minimizing sequences and some strict sub-additivity conditions. The proof is based upon a compactness lemma obtained with the help of the notion of concentration function of a ...
openaire   +4 more sources

Long time dynamics and coherent states in nonlinear wave equations

, 2016
We discuss recent progress in finding all coherent states supported by nonlinear wave equations, their stability and the long time behavior of nearby solutions.Comment: bases on the authors presentation at 2015 AMMCS-CAIMS Congress, to appear in Fields
A. Floer, A. Soffer, A. Soffer, A. Soffer, C.A. Pillet, D. Bambusi, E. Kirr, E. Kirr, E. Kirr, E. Kirr, E.W. Kirr, G. Zhou, H. Berestycki, H. Jeanjean, H. Jeanjean, H.A. Rose, I. M. Sigal, J.L. Marzuola, L. Nirenberg, M. Grillakis, M. Grillakis, M. Grillakis, M.I. Weinstein, M.I. Weinstein, P. H. Rabinowitz, P.-L. Lions, P.-L. Lions, P.G. Kevrekidis, R. A. Adams, R. K. Jackson, S. Cuccagna, S. Cuccagna, T. Cazenave, T. Mizumachi, T. Mizumachi, T.-P. Tsai, T.-P. Tsai, T.-P. Tsai, V. S. Buslaev, V. S. Buslaev, W.H. Aschbacher, Y. Guo, Y.-G. Oh   +42 more
core   +1 more source

Molecular and functional profiling unravels targetable vulnerabilities in colorectal cancer

Molecular Oncology, EarlyView.
We used whole exome and RNA‐sequencing to profile divergent genomic and transcriptomic landscapes of microsatellite stable (MSS) and microsatellite instable (MSI) colorectal cancer. Alterations were classified using a computational score for integrative cancer variant annotation and prioritization.
Efstathios‐Iason Vlachavas, Konstantinos Voutetakis, Vivian Kosmidou, Spyridon Tsikalakis, Spyridon Roditis, Konstantinos Pateas, Ryangguk Kim, Kymberleigh Pagel, Stephan Wolf, Gregor Warsow, Antonia Dimitrakopoulou‐Strauss, Georgios N. Zografos, Alexander Pintzas, Johannes Betge, Olga Papadodima, Stefan Wiemann   +15 more
wiley   +1 more source

Concentration-compactness principle of singular Trudinger–Moser inequality involving N-Finsler–Laplacian operator [PDF]

International Journal of Mathematics, 2020
In this paper, suppose [Formula: see text] be a convex function of class [Formula: see text] which is even and positively homogeneous of degree 1. We establish the Lions type concentration-compactness principle of singular Trudinger–Moser Inequalities involving [Formula: see text]-Finsler–Laplacian operator.
openaire   +3 more sources