Results 151 to 160 of about 1,344,795 (373)
Local resolvents of operators with one-dimensional self-commutator [PDF]
, 1976 Constantin Apostol, Kevin F. Clancey
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A comparison theorem for operators with compact resolvent [PDF]
Proceedings of the American Mathematical Society, 1971 The asymptotic behavior of the eigenvalue sequence of a semibounded operator with compact resolvent is stable under relatively bounded perturbations.
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Molecular Oncology, EarlyView.This study investigates an alternative approach to reactivating the oncosuppressor p53 in cancer. A short peptide targeting the association of the two p53 inhibitors, MDM2 and MDM4, induces an otherwise therapeutically active p53 with unique features that promote cell death and potentially reduce toxicity towards proliferating nontumor cells.
Sonia Valentini +10 more
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The resolvent of a singularly perturbed elliptic operator
Journal of Mathematical Analysis and Applications, 1977 AbstractLet A and B be uniformly elliptic operators of orders 2m and 2n, respectively, m > n. We consider the Dirichlet problems for the equations (ϵ2(m − n)A + B + λ2nI)uϵ = f and (B + λ2nI)u = f in a bounded domain Ω in Rk with a smooth boundary ∂Ω. The estimate ∥ uϵ − u ∥L2(Ω) ⩽ Cϵ ¦ λ ¦−2n + 1(1 + ϵ ¦ λ ¦)−1 ∥ f ∥L2(Ω) is derived.
Zeev Schuss, Zeev Schuss
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Molecular Oncology, EarlyView.Low expression of five purine metabolism‐related genes (ADSL, APRT, ADCY3, NME3, NME6) was correlated with poor survival in colorectal cancer. Immunohistochemistry analysis showed that low NME3 (early stage) and low ADSL/NME6 (late stage) levels were associated with high risk.
Sungyeon Kim +8 more
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On the generalized resolvents of isometric operators with gaps [PDF]
arXiv, 2012 In this paper we obtain some slight correction and generalization of the results of Ryabtseva on the generalized resolvents for isometric operators with a gap in their spectrum. Also, analogs of some McKelvey's results and a short proof of Inin's formula for the generalized resolvents of an isometric operator are obtained.
arxiv
Exploration of heterogeneity and recurrence signatures in hepatocellular carcinoma
Molecular Oncology, EarlyView.This study leveraged public datasets and integrative bioinformatic analysis to dissect malignant cell heterogeneity between relapsed and primary HCC, focusing on intercellular communication, differentiation status, metabolic activity, and transcriptomic profiles.
Wen‐Jing Wu +15 more
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Trace expansions for elliptic cone operators with stationary domains
, 2009 We analyze the behavior of the trace of the resolvent of an elliptic cone differential operator as the spectral parameter tends to infinity. The resolvent splits into two components, one associated with the minimal extension of the operator, and another,
Gil, Juan B. +2 more
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On $L^p$ resolvent estimates for elliptic operators on compact manifolds [PDF]
arXiv, 2013 We prove uniform $L^p$ estimates for resolvents of higher order elliptic self-adjoint differential operators on compact manifolds without boundary, generalizing a corresponding resul of [3] in the case of Laplace-- Beltrami operators on Riemannian manifolds. In doing so, we follow the methods, developed in [1] very closely.
arxiv
Molecular Oncology, EarlyView.There is an unmet need in metastatic breast cancer patients to monitor therapy response in real time. In this study, we show how a noninvasive and affordable strategy based on sequencing of plasma samples with longitudinal tracking of tumour fraction paired with a statistical model provides valuable information on treatment response in advance of the ...
Emma J. Beddowes +20 more
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