Results 41 to 50 of about 1,740,938 (274)

Specialisation and reduction of continued fractions of formal power series

, 2004
We discuss and illustrate the behaviour of the continued fraction expansion of a formal power series under specialisation of parameters or their reduction modulo $p$ and sketch some applications of the reduction theorem here proved.Comment: 7 ...
van der Poorten, Alfred J.
core   +1 more source

Pre‐analytical optimization of cell‐free DNA and extracellular vesicle‐derived DNA for mutation detection in liquid biopsies

Molecular Oncology, EarlyView.
Pre‐analytical handling critically determines liquid biopsy performance. This study defines practical best‐practice conditions for cell‐free DNA (cfDNA) and extracellular vesicle–derived DNA (evDNA), showing how processing time, storage conditions, tube type, and plasma input volume affect DNA integrity and mutation detection.
Jonas Dohmen, Lucrezia De Santis, Bret M. Stephens, Vincent Bernard, Jörg C. Kalff, Lara Braun, Phillipp Leyendecker, Johannes Röttgen, Daniel Weissinger, Anirban Maitra, Paola A. Guerrero, Alexander Semaan   +11 more
wiley   +1 more source

On Salem Formal Power Series

European Journal of Pure and Applied Mathematics, 2022
In this paper, we will take a look at Salem elements dealing with formal power series on Fq, where Fq is a finite field . Our main result, presents a criteria for an element to be the smallest Salem element (SSE) via an order extending a given order in Fq. Moreover, we provide the CFE of the (SSE) for each n.
Oussama Dammak, Saber Mansour
openaire   +1 more source

A simple algorithm for expanding a formal triple power series as a three-dimensional associated continued fractions

Researches in Mathematics
We propose an algorithm for expanding a formal triple power series into a three-dimensional corresponding to this series associated continued fraction, which generalized one of the simplest algorithms for expanding a formal power series into a ...
Kh.Yo. Kuchminska, R.M. Deyneka
doaj   +1 more source

Establishment of a humanized patient‐derived xenograft mouse model of high‐grade serous ovarian cancer for preclinical evaluation of combination immunotherapy

Molecular Oncology, EarlyView.
We have established a humanized orthotopic patient‐derived xenograft (Hu‐oPDX) mouse model of high‐grade serous ovarian cancer (HGSOC) that recapitulates human tumor–immune interactions. Using combined anti‐PD‐L1/anti‐CD73 immunotherapy, we demonstrate the model's improved biological relevance and enhanced translational value for preclinical ...
Luka Tandaric, Line Bjørge, Martine Rott Lode, Cecilie Fredvik Torkildsen, Pia Aehnlich, Rammah Elnour, Daniela Elena Costea, Lars Andreas Akslen, Liv Cecilie Vestrheim Thomsen, Emmet McCormack, Katrin Kleinmanns   +10 more
wiley   +1 more source

On the formal power series of involutory functions [PDF]

Enumerative Combinatorics and Applications, 2023
Alfred Schreiber
doaj   +1 more source

CCDC80 suppresses high‐grade serous ovarian cancer migration via negative regulation of B7‐H3

Molecular Oncology, EarlyView.
PAX8 is a lineage‐specific master regulator of transcription in high‐grade serous ovarian cancer (HGSC) progression. We show for the first time that PAX8 facilitates proliferation and metastasis by repressing the cell autonomous tumor suppressor CCDC80 and inducing B7‐H3 expression.
Aya Saleh, Nitzan Medina‐Itzhaki, Milena Chekov, Eden Gal‐Swisa, Roba Gabesh‐Wahabi, Inbar Savyon, Inna Naroditsky, Hilary A. Kenny, Basem Fares, Lina Korsensky, Einav Girsh, Liron Berger, Ruth Perets   +12 more
wiley   +1 more source

On a q—Analog of a Singularly Perturbed Problem of Irregular Type with Two Complex Time Variables

Mathematics, 2019
The analytic solutions of a family of singularly perturbed q-difference-differential equations in the complex domain are constructed and studied from an asymptotic point of view with respect to the perturbation parameter.
Alberto Lastra, Stéphane Malek
doaj   +1 more source

On the formal power series algebras generated by a vector space and a linear functional [PDF]

Journal of Hyperstructures, 2017
Let R be a vector space ( on C) and ϕ be an element of R∗ (the dual space of R), the product r · s = ϕ(r)s converts R into an associative algebra that we denote it by Rϕ.
A. R. Khoddami
doaj   +1 more source

On the fractional Allee logistic equation in the Caputo sense

Examples and Counterexamples, 2023
In the framework of population models, logistic growth and fractional logistic growth has been analyzed. In some situations the so-called Allee effect gives more accurate approximation.
I. Area, Juan J. Nieto
doaj   +1 more source