Results 71 to 80 of about 3,946,822 (379)

On Higher-Order Generalized Fibonacci Hybrinomials: New Properties, Recurrence Relations and Matrix Representations

open access: yesMathematics
This paper presents a comprehensive survey of the generalization of hybrid numbers and hybrid polynomials, particularly in the fields of mathematics and physics.
Can Kızılateş   +2 more
doaj   +1 more source

Elliptic nets and elliptic curves

open access: yes, 2010
An elliptic divisibility sequence is an integer recurrence sequence associated to an elliptic curve over the rationals together with a rational point on that curve.
Ayad   +5 more
core   +1 more source

New partition function recurrences [PDF]

open access: yesarXiv, 2020
We present Euler-type recurrence relations for some partition functions. Some of our results provide new recurrences for the number of unrestricted partitions of $n$, denote by $p(n)$. Others establish recurrences for partition functions not yet considered.
arxiv  

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

Application value of contrast‐enhanced ultrasound in preoperative localization of microwave ablation for primary hyperparathyroidism

open access: yesJournal of Applied Clinical Medical Physics, Volume 23, Issue 12, December 2022., 2022
Abstract Background Ultrasonography (US) and 99mTechnetium‐sestamibi scintigraphy (99mTc‐MIBI) are currently first‐line imaging modalities to localize parathyroid adenomas with sensitivities of 80% and 84%, respectively. Therefore, finding other modalities to further improve the diagnostic accuracy for preoperative localization is critically needed ...
Fangyi Liu   +7 more
wiley   +1 more source

Generalized Schreier sets, linear recurrence relation, Turán graphs [PDF]

open access: yesarXiv, 2021
We prove a linear recurrence relation for a large family of generalized Schreier sets, which generalizes the Fibonacci recurrence proved by Bird and higher order Fibonacci recurrence proved by the second author et al. Furthermore, we show a relationship between Schreier-type sets and Tur\'{a}n graphs.
arxiv  

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

Treatment planning with a 2.5 MV photon beam for radiation therapy

open access: yesJournal of Applied Clinical Medical Physics, Volume 23, Issue 12, December 2022., 2022
Abstract Purpose The shallow depth of maximum dose and higher dose fall‐off gradient of a 2.5 MV beam along the central axis that is available for imaging on linear accelerators is investigated for treatment of shallow tumors and sparing the organs at risk (OARs) beyond it.
Navid Khaledi   +5 more
wiley   +1 more source

Recurrence Relations for Wronskian Hermite Polynomials [PDF]

open access: yesSIGMA 14 (2018), 048, 29 pages, 2018
We consider polynomials that are defined as Wronskians of certain sets of Hermite polynomials. Our main result is a recurrence relation for these polynomials in terms of those of one or two degrees smaller, which generalizes the well-known three term recurrence relation for Hermite polynomials.
arxiv   +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

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