Results 81 to 90 of about 1,874,752 (330)

Hyperbolic localization and Lefschetz fixed point formulas for higher-dimensional fixed point sets [PDF]

arXiv, 2015
We study Lefschetz fixed point formulas for constructible sheaves with higher-dimensional fixed point sets. Under fairly weak assumptions, we prove that the local contributions from them are expressed by some constructible functions associated to hyperbolic localizations.
arxiv  

Surfaceome: a new era in the discovery of immune evasion mechanisms of circulating tumor cells

Molecular Oncology, EarlyView.
In the era of immunotherapies, many patients either do not respond or eventually develop resistance. We propose to pave the way for proteomic analysis of surface‐expressed proteins called surfaceome, of circulating tumor cells. This approach seeks to identify immune evasion mechanisms and discover potential therapeutic targets. Circulating tumor cells (
Doryan Masmoudi, Jérome Vialaret, Christophe Hirtz, Catherine Alix‐Panabières   +3 more
wiley   +1 more source

Bi-Additive s-Functional Inequalities and Quasi-∗-Multipliers on Banach Algebras

Mathematics, 2018
Using the fixed point method, we prove the Hyers-Ulam stability of quasi-∗-multipliers on Banach ∗-algebras and unital C*-algebras, associated to bi-additive s-functional inequalities.
Choonkil Park
doaj   +1 more source

Combinatorial Proof of Kakutani's Fixed Point Theorem [PDF]

arXiv, 2018
Kakutani's fixed point theorem is a generalization of Brouwer's fixed point theorem to upper semicontinuous multivalued maps and is used extensively in game theory and other areas of economics. Earlier works have shown that Sperner's lemma implies Brouwer's theorem.
arxiv  

Clinical applications of next‐generation sequencing‐based ctDNA analyses in breast cancer: defining treatment targets and dynamic changes during disease progression

Molecular Oncology, EarlyView.
Circulating tumor DNA (ctDNA) offers a possibility for different applications in early and late stage breast cancer management. In early breast cancer tumor informed approaches are increasingly used for detecting molecular residual disease (MRD) and early recurrence. In advanced stage, ctDNA provides a possibility for monitoring disease progression and
Eva Valentina Klocker, Samantha Hasenleithner, Rupert Bartsch, Simon P. Gampenrieder, Daniel Egle, Christian F. Singer, Gabriel Rinnerthaler, Michael Hubalek, Katja Schmitz, Zsuzsanna Bago‐Horvath, Andreas Petzer, Sonja Heibl, Ellen Heitzer, Marija Balic, Michael Gnant   +14 more
wiley   +1 more source

Circulating tumor cells in metastatic breast cancer patients treated with immune checkpoint inhibitors – a biomarker analysis of the ALICE and ICON trials

Molecular Oncology, EarlyView.
In this explorative biomarker analysis, we assessed serial sampling of circulating tumor cells (CTCs) with CellSearch in two randomized trials testing immune checkpoint inhibitors (ICIs) in metastatic breast cancer. Our data demonstrate a prognostic potential of CTCs, most apparent 4 weeks into ICI therapy.
Nikolai Kragøe Andresen, Andreas Hagen Røssevold, Elin Borgen, Cecilie Bendigtsen Schirmer, Bjørnar Gilje, Øystein Garred, Jon Lømo, Marius Stensland, Oddmund Nordgård, Ragnhild Sørum Falk, Randi R. Mathiesen, Hege G. Russnes, Jon Amund Kyte, Bjørn Naume   +13 more
wiley   +1 more source

Asymptotic Stability of Neutral Set-Valued Functional Differential Equation by Fixed Point Method

Discrete Dynamics in Nature and Society, 2020
This paper studies a class of nonlinear neutral set-valued functional differential equations. The globally asymptotic stability theorem with necessary and sufficient conditions is obtained via the fixed point method.
Junyan Bao, Peiguang Wang
doaj   +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

An extrapolated fixed-point optimization method for strongly convex smooth optimizations

AIMS Mathematics
In this work, we focused on minimizing a strongly convex smooth function over the common fixed-point constraints. We proposed an extrapolated fixed-point optimization method, which is a modified version of the extrapolated sequential constraint method ...
Duangdaw Rakjarungkiat, Nimit Nimana
doaj   +1 more source

Cell‐free and extracellular vesicle microRNAs with clinical utility for solid tumors

Molecular Oncology, EarlyView.
Cell‐free microRNAs (cfmiRs) are small‐RNA circulating molecules detectable in almost all body biofluids. Innovative technologies have improved the application of cfmiRs to oncology, with a focus on clinical needs for different solid tumors, but with emphasis on diagnosis, prognosis, cancer recurrence, as well as treatment monitoring.
Yoshinori Hayashi, Janelle‐Cheri Millen, Romela Irene Ramos, Jennifer A. Linehan, Timothy G. Wilson, Dave S. B. Hoon, Matias A. Bustos   +6 more
wiley   +1 more source