Results 91 to 100 of about 1,483,300 (312)
Positive exponential sums and odd polynomials [PDF]
Given an odd integer polynomial f(x) of a degree k >=3, we construct a non-negative valued, normed trigonometric polynomial with the spectrum in the set of integer values of f(x) not greater than n, and a small free coefficient a_{0}=O((\log n)^{-1/k ...
Nincevic, Marina, Slijepcevic, Sinisa
core +2 more sources
The cancer problem is increasing globally with projections up to the year 2050 showing unfavourable outcomes in terms of incidence and cancer‐related deaths. The main challenges are prevention, improved therapeutics resulting in increased cure rates and enhanced health‐related quality of life.
Ulrik Ringborg +43 more
wiley +1 more source
The Hybrid Power Mean of Sixth Gauss Sums and the Two-Term Exponential Sums
The principal aim of this paper is to analyze the hybrid power mean value of sixth Gauss sums and two-term exponential sums. It will use various analytic methods and elementary methods to develop unique identities for these types of sums.
Xuan Wang
doaj +1 more source
The fourth power mean of the three–term exponential sums
By employing trigonometric sums and solving congruence equations, this paper explores the power mean of a specific class of high–order three–term exponential sums, and derives intriguing identities in the process.
Xiaoge Liu, Guohui Chen
doaj +1 more source
Randomly stopped sums with exponential-type distributions
Assume that {ξ1, ξ2, …} are independent and possibly nonidentically distributed random variables. Suppose that η is a nonnegative, nondegenerate at zero and integer-valued random variable, which is independent of {ξ1, ξ2, …}.
Svetlana Danilenko +2 more
doaj +1 more source
Pharmacologic ascorbate (vitamin C) increases ROS, disrupts cellular metabolism, and induces DNA damage in CRPC cells. These effects sensitize tumors to PARP inhibition, producing synergistic growth suppression with olaparib in vitro and significantly delayed tumor progression in vivo. Pyruvate rescue confirms ROS‐dependent activity.
Nicolas Gordon +13 more
wiley +1 more source
LDAcoop: Integrating non‐linear population dynamics into the analysis of clonogenic growth in vitro
Limiting dilution assays (LDAs) quantify clonogenic growth by seeding serial dilutions of cells and scoring wells for colony formation. The fraction of negative wells is plotted against cells seeded and analyzed using the non‐linear modeling of LDAcoop.
Nikko Brix +13 more
wiley +1 more source
Aldehyde dehydrogenase 1A1 (ALDH1A1) is a cancer stem cell marker in several malignancies. We established a novel epithelial cell line from rectal adenocarcinoma with unique overexpression of this enzyme. Genetic attenuation of ALDH1A1 led to increased invasive capacity and metastatic potential, the inhibition of proliferation activity, and ultimately ...
Martina Poturnajova +25 more
wiley +1 more source
On the Sixth Power Mean Value of the Generalized Three-Term Exponential Sums
The main purpose of this paper is using the estimate for trigonometric sums and the properties of the congruence equations to study the computational problem of one kind sixth power mean value of the generalized three-term exponential sums and give an ...
Yahui Yu, Wenpeng Zhang
doaj +1 more source
SmallTalk: a novel small‐sized fusion tag for peptide expression and purification
The SmallTalk fusion tag allows for the efficient expression and purification of soluble recombinant proteins or peptides in Escherichia coli. Testing with SmallTalk‐GFP confirmed that the proteins were soluble and folded correctly, while SmallTalk‐Bin1b maintained its antimicrobial activity against various bacterial isolates. This streamlined workflow
Atika Tariq +3 more
wiley +1 more source

