Results 51 to 60 of about 25,464 (224)

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

A comparative study of circulating tumor cell isolation and enumeration technologies in lung cancer

Molecular Oncology, EarlyView.
Lung cancer cells were spiked into donor blood to evaluate the recovery rates of the following circulating tumor cell (CTC) enrichment technologies: CellMag™, EasySep™, RosetteSep™, Parsortix® PR1, and Parsortix® Prototype systems. Each method's advantages and disadvantages are described.
Volga M Saini, Ezgi Oner, Mark P. Ward, Sinead Hurley, Brian David Henderson, Faye Lewis, Stephen P. Finn, Gerard J. Fitzmaurice, John J. O'Leary, Sharon O'Toole, Lorraine O'Driscoll, Kathy Gately   +11 more
wiley   +1 more source

The concentration-compactness principle in the Calculus of Variations. The Locally compact case, part 2 [PDF]

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1984
In this paper (sequel of Part 1) we investigate further applications of the concentration-compactness principle to the solution of various minimization problems in unbounded domains. In particular we present here the solution of minimization problems associated with nonlinear field equations.
openaire   +4 more sources

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

Cellular liquid biopsy provides unique chances for disease monitoring, preclinical model generation and therapy adjustment in rare salivary gland cancer patients

Molecular Oncology, EarlyView.
We quantified and cultured circulating tumor cells (CTCs) of 62 patients with various cancer types and generated CTC‐derived tumoroid models from two salivary gland cancer patients. Cellular liquid biopsy‐derived information enabled molecular genetic assessment of systemic disease heterogeneity and functional testing for therapy selection in both ...
Nataša Stojanović Gužvić, Florian Lüke, Steffi Treitschke, Andrea Coluccio, Martin Hoffmann, Giancarlo Feliciello, Adithi Ravikumar Varadarajan, Xin Lu, Kathrin Weidele, Catherine Botteron, Silvia Materna–Reichelt, Felix Keil, Katja Evert, Florian Weber, Thomas Schamberger, Michael Althammer, Jirka Grosse, Dirk Hellwig, Christian Schulz, Stephan Seitz, Peter Ugocsai, Anke Schlenska‐Lange, Roman Mayr, Ulrich Kaiser, Wolfgang Dietmaier, Bernhard Polzer, Jens Warfsmann, Kamran Honarnejad, Tobias Pukrop, Daniel Heudobler, Christoph A. Klein, Christian Werno   +31 more
wiley   +1 more source

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

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

Concentration-compactness principle for embedding into multiple exponential spaces on unbounded domains [PDF]

Czechoslovak Mathematical Journal, 2015
Let Ω ⊂ ℝ n be a domain and let α < n − 1. We prove the Concentration-Compactness Principle for the embedding of the space W 0 1 L n log α
openaire   +2 more sources

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 for mountain pass problems

, 2005
In the paper we show that critical sequences associated with the mountain pass level for semilinear elliptic problems on $\R^N$ converge when the non-linearity is subcritical, superlinear and satisfies the penalty condition $F_\infty(s)
openaire   +2 more sources