Results 91 to 100 of about 306,199 (304)
Analytic Extension of Riemannian Analytic Manifolds and Local Isometries
Mathematics, 2020 This article deals with a locally given Riemannian analytic manifold. One of the main tasks is to define its regular analytic extension in order to generalize the notion of completeness.
Vladimir A. Popov
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Center manifolds without a phase space
Transactions of the American Mathematical Society, 2018 We establish center manifold theorems that allow one to study the bifurcation of small solutions from a trivial state in systems of functional equations posed on the real line. The class of equations includes most importantly nonlinear equations with nonlocal coupling through convolution operators as they arise in the description of spatially extended ...
Faye, Grégory, Scheel, Arnd
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Dual targeting of RET and SRC synergizes in RET fusion‐positive cancer cells
Molecular Oncology, EarlyView.Despite the strong activity of selective RET tyrosine kinase inhibitors (TKIs), resistance of RET fusion‐positive (RET+) lung cancer and thyroid cancer frequently occurs and is mainly driven by RET‐independent bypass mechanisms. Son et al. show that SRC TKIs significantly inhibit PAK and AKT survival signaling and enhance the efficacy of RET TKIs in ...
Juhyeon Son +13 more
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Chebyshev spectral methods for computing center manifolds
, 2021 Takeshi Saito, Kazuyuki Yagasaki
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Center Manifolds for Homoclinic Solutions
Journal of Dynamics and Differential Equations, 2000 In this article, center-manifold theory for homoclinic solutions of ordinary differential equations or semilinear parabolic equations is developed. Here, a center manifold along a homoclinic orbit q(t) is a locally invariant manifold containing all solutions which stay close to q(t) in phase space for all times. Therefore, as usual, the low-dimensional
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Strength through diversity: how cancers thrive when clones cooperate
Molecular Oncology, EarlyView.Intratumor heterogeneity can offer direct benefits to the tumor through cooperation between different clones. In this review, Kuiken et al. discuss existing evidence for clonal cooperativity to identify overarching principles, and highlight how novel technological developments could address remaining open questions.
Marije C. Kuiken +3 more
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The stable, center-stable, center, center-unstable, unstable manifolds
Journal of Differential Equations, 1967 Our purpose is to give a proof of the existence and smoothness of the invariant manifolds in the title for a system of ordinary differential equations defined in a neighborhood of a critical point, periodic orbit, or periodic surface.
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Molecular Oncology, EarlyView.We developed a cost‐effective methylation‐specific droplet digital PCR multiplex assay containing tissue‐conserved and tumor‐specific methylation markers. The assay can detect circulating tumor DNA with high accuracy in patients with localized and metastatic colorectal cancer.
Luisa Matos do Canto +8 more
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Synchronized Hopf Bifurcation Analysis in a Delay-Coupled Semiconductor Lasers System
Journal of Applied Mathematics, 2012 The dynamics of a system of two semiconductor lasers, which are delay coupled via a passive relay within the synchronization manifold, are investigated.
Gang Zhu, Junjie Wei
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Molecular Oncology, EarlyView.Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice +16 more
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