Results 71 to 80 of about 3,674,543 (358)

Semi-local convergence of Cordero's sixth-order method

open access: yesAIMS Mathematics
In this paper, the semi-local convergence of the Cordero's sixth-order iterative method in Banach space was proved by the method of recursion relation. In the process of proving, the auxiliary sequence and three increasing scalar functions can be derived
Xiaofeng Wang, Ning Shang
doaj   +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

open access: yesMolecular 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   +13 more
wiley   +1 more source

Circulating tumor cells: advancing personalized therapy in small cell lung cancer patients

open access: yesMolecular 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

Generating Functions for Four Classes of Triple Binomial Sums

open access: yesMathematics, 2022
By means of the generating function approach, four classes of triple sums involving circular products of binomial coefficients are investigated. Recurrence relations and rational generating functions are established.
Marta Na Chen, Wenchang Chu
doaj   +1 more source

A RECURRENCE RELATION FOR THE JONES POLYNOMIAL

open access: yes, 2014
Using a simple recurrence relation, we give a new method to compute the Jones polynomials of closed braids: we find a general expan- sion formula and a rational generating function for the Jones polynomials.
Barbu Berceanu, A. R. Nizami
semanticscholar   +1 more source

Relation between Carcinoembryonic Antigen Levels in Colon Cancer Tissue and Serum Carcinoembryonic Antigen Levels at Initial Surgery and Recurrence

open access: yesOncology, 2016
Objectives: Carcinoembryonic antigen (CEA) is widely used for postoperative surveillance of colon cancer. Even if serum CEA is negative at initial surgery, it may turn positive at recurrence.
G. Saito   +5 more
semanticscholar   +1 more source

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

open access: yesMolecular 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

New Properties and Matrix Representations on Higher-Order Generalized Fibonacci Quaternions with q-Integer Components

open access: yesAxioms
In this paper, by using q-integers and higher-order generalized Fibonacci numbers, we define the higher-order generalized Fibonacci quaternions with q-integer components. We give some special cases of these newly established quaternions.
Can Kızılateş   +3 more
doaj   +1 more source

Discrete Hypergeometric Legendre Polynomials

open access: yesMathematics, 2021
A discrete analog of the Legendre polynomials defined by discrete hypergeometric series is investigated. The resulting polynomials have qualitatively similar properties to classical Legendre polynomials.
Tom Cuchta, Rebecca Luketic
doaj   +1 more source

Circulating tumor DNA (ctDNA) trajectories predict survival in trifluridine/tipiracil‐treated metastatic colorectal cancer patients

open access: yesMolecular Oncology, EarlyView.
The authors applied joint/mixed models that predict mortality of trifluridine/tipiracil‐treated metastatic colorectal cancer patients based on circulating tumor DNA (ctDNA) trajectories. Patients at high risk of death could be spared aggressive therapy with the prospect of a higher quality of life in their remaining lifetime, whereas patients with a ...
Matthias Unseld   +7 more
wiley   +1 more source

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