Results 71 to 80 of about 1,638,815 (287)
A computational method for nonlinear 2m‐th order boundary value problems
Mathematical Modelling and Analysis, 2010 In this paper, two point boundary value problems of 2mth‐order nonlinear differential equations are considered. The existence of the solution and a new iterative algorithm which is large‐range convergent are proposed for the problems in reproducing ...
Yu F. Zhou, M. G. Cui, Yan Z. Lin
doaj +1 more source
Circulating tumor cells: advancing personalized therapy in small cell lung cancer patients
Molecular Oncology, EarlyView.Small cell lung cancer (SCLC) is an aggressive form of lung cancer that spreads rapidly to secondary sites such as the brain and liver. Cancer cells circulating in the blood, “circulating tumor cells” (CTCs), have demonstrated prognostic value in SCLC, and evaluating biomarkers on CTCs could guide treatment decisions such as for PARP inhibitors ...
Prajwol Shrestha +6 more
wiley +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 +11 more
wiley +1 more source
Limit cycles for a class of polynomial systems and applications
Electronic Journal of Differential Equations, 2003 In this paper, we study the existence and uniqueness of limit cycles for a particular polynomial system. Some known results are extended and improved.
Hanying Feng +3 more
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Constructive proof of the existence of equilibrium in competitive economy with sequentially locally non-constant excess demand functions [PDF]
arXiv, 2011 We present a constructive proof of the existence of an equilibrium in a competitive economy with sequentially locally non-constant excess demand functions. And we will show that the existence of such an equilibrium implies Sperner's lemma. Since the existence of an equilibrium is derived from the existence an approximate fixed point of uniformly ...
arxiv
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 +6 more
wiley +1 more source
Existence and uniqueness for a p-Laplacian nonlinear eigenvalue problem
Electronic Journal of Differential Equations, 2010 We consider the Dirichlet eigenvalue problem $$ -mathop{ m div}(| abla u|^{p-2} abla u ) =lambda | u|_q^{p-q}|u|^{q-2}u, $$ where the unknowns $uin W^{1,p}_0(Omega )$ (the eigenfunction) and $lambda >0$ (the eigenvalue), $Omega $ is an arbitrary ...
Giovanni Franzina +1 more
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Homotopy colimits in stable representation theory [PDF]
arXiv, 2013 We study the problem of existence and uniqueness of homotopy colimits in stable representation theory, where one typically does not have model category structures to guarantee that these homotopy colimits exist or have good properties. We get both negative results (homotopy cofibers fail to exist if there exist any objects of positive finite projective
arxiv
Molecular Oncology, EarlyView.This study demonstrates that KRAS and GNAS mutations are more prevalent in patients with resected intraductal papillary mucinous neoplasms (IPMN) compared to those under clinical surveillance. GNAS mutations significantly differ between the two patient cohorts, indicating that their absence may serve as a potential biomarker to support conservative ...
Christine Nitschke +12 more
wiley +1 more source
Infinity Laplace equation with non-trivial right-hand side
Electronic Journal of Differential Equations, 2010 We analyze the set of continuous viscosity solutions of the infinity Laplace equation $-Delta^N_{infty}w(x) = f(x)$, with generally sign-changing right-hand side in a bounded domain.
Guozhen Lu, Peiyong Wang
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