Results 91 to 100 of about 9,843,422 (355)

Targeted metabolomics reveals novel diagnostic biomarkers for colorectal cancer

Molecular Oncology, EarlyView.
This study employed targeted metabolomic profiling to identify 302 distinct metabolites present in platelet‐rich plasma (PRP), revealing aberrant metabolic profiles amongst individuals diagnosed with colorectal cancer (CRC). Compared to carcinoembryonic antigen (CEA) and cancer antigen 19‐9 (CA199), our metabolite panel showed improved sensitivity ...
Zuojian Hu, Fenglin Shen, Yang Liu, Ziqing Zhong, Yongling Chen, Zhiyuan Xia, Cuiju Mo, Hongxiu Yu   +7 more
wiley   +1 more source

Number-theoretic expressions obtained through analogy between prime factorization and optical interferometry [PDF]

, 2011
Prime factorization is an outstanding problem in arithmetic, with important consequences in a variety of fields, most notably cryptography. Here we employ the intriguing analogy between prime factorization and optical interferometry in order to obtain, for the first time, analytic expressions for closely related functions, including the number of ...
arxiv   +1 more source

A note on expansion in prime fields

, 2018
Let $ , \in (0,1]$, and $k \geq \exp(122 \max\{1/ ,1/ \})$. We prove that if $A,B$ are subsets of a prime field $\mathbb{Z}_{p}$, and $|B| \geq p^ $, then there exists a sum of the form $$S = a_{1}B \pm \ldots \pm a_{k}B, \qquad a_{1},\ldots,a_{k} \in A,$$ with $|S| \geq 2^{-12}p^{- }\min\{|A||B|,p\}$.
Orponen, Tuomas, Venieri, Laura
openaire   +2 more sources

KMT2A degradation is observed in decitabine‐responsive acute lymphoblastic leukemia cells

Molecular Oncology, EarlyView.
We demonstrate that decitabine (DEC) not only degrades the DNA methyltransferase DNMT1 but also the leukemic driver lysine methyltransferase KMT2A likely due to structural similarity of the DNA‐binding CXXC domains. DEC influences KMT2A downstream processes and synergizes with menin inhibitor revumenib (REV) to decrease leukemic cell proliferation, and
Luisa Brock, Lina Benzien, Sandra Lange, Maja Huehns, Alexandra Runge, Catrin Roolf, Anett Sekora, Gudrun Knuebel, Hugo Murua Escobar, Christian Junghanss, Anna Richter   +10 more
wiley   +1 more source

Explicit Factorization of Prime Integers in Quartic Number Fields defined by $X^4+aX+b$ [PDF]

arXiv, 2010
For every prime integer $p$, an explicit factorization of the principal ideal $p\z_K$ into prime ideals of $\z_K$ is given, where $K$ is a quartic number field defined by an irreducible polynomial $X^4+aX+b\in\z[X]$.
arxiv  

The Function Field Sieve in the Medium Prime Case [PDF]

, 2006
In this paper, we study the application of the function field sievealgorithm for computing discrete logarithms over finite fields ofthe form $\GF{q^n}$ when $q$ is a medium-sized prime power. Thisapproach is an alternative to a recent paper of Granger andVercauteren for computing discrete logarithms in tori, usingefficient torus representations.
Joux, Antoine, Lercier, Reynald
openaire   +5 more sources

Formalization of Definitions and Theorems Related to an Elliptic Curve Over a Finite Prime Field by Using Mizar

Journal of automated reasoning, 2013
In this paper, we introduce our formalization of the definitions and theorems related to an elliptic curve over a finite prime field. The elliptic curve is important in an elliptic curve cryptosystem whose security is based on the computational ...
Yuichi Futa, Hiroyuki Okazaki, Y. Shidama   +2 more
semanticscholar   +1 more source

TRPM4 contributes to cell death in prostate cancer tumor spheroids, and to extravasation and metastasis in a zebrafish xenograft model system

Molecular Oncology, EarlyView.
Transient receptor potential melastatin‐4 (TRPM4) is overexpressed in prostate cancer (PCa). Knockout of TRPM4 resulted in reduced PCa tumor spheroid size and decreased PCa tumor spheroid outgrowth. In addition, lack of TRPM4 increased cell death in PCa tumor spheroids.
Florian Bochen, Saurav Subedi, Federico La Manna, Sofia Jarrin, Irida Papapostolou, Marianna Kruithof‐de Julio, Christine Peinelt   +6 more
wiley   +1 more source

Sets of Completely Decomposed Primes in Extensions of Number Fields [PDF]

arXiv, 2015
We introduce the notion of saturated sets of primes of an algebraic number field and prove an analogue of Riemann's existence theorem for the decomposition groups of infinite stably saturated sets of primes.
arxiv  

The smallest inert prime in a cyclic number field of prime degree [PDF]

Mathematical Research Letters, 2013
Fix an odd prime `. For each cyclic extension K/Q of degree `, let nK denote the least rational prime which is inert in K, and let rK be the least rational prime which splits completely in K. We show that nK possesses a finite mean value, where the average is taken over all such K ordered by conductor.
openaire   +1 more source