Results 141 to 150 of about 542,394 (229)
On certain sums involving the largest prime factor over integer sequences
Given an integer $ n \geq 2 $, its prime factorization is expressed as $ n = \prod p_i^{a_i} $. We define the function $ f(n) $ as the smallest positive integer satisfying the following condition: \[ ν_{p}\left(\frac{f(n)!}{n}\right) \geq 0, \quad \forall p \in \{p_1, p_2, \dots, p_s\}, \] where $ ν_{p}(m) $ denotes the $ p $-adic valuation of $ m ...
openaire +2 more sources
Promiscuous stimulation of HSP70 ATPase activity by parasite‐derived J‐domains
The malaria parasite Plasmodium falciparum exports three highly homologous yet functionally divergent J‐domain proteins into human erythrocytes. Here, we show that J‐domains isolated from all three proteins effectively stimulate the ATPase activity of both endogenous host and exported parasite HSP70 chaperones.
Julian Barth +6 more
wiley +1 more source
The importance of time perspective in media multitasking behavior. [PDF]
Rogojina AA, Kantner J, Gentile DA.
europepmc +1 more source
This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill +4 more
wiley +1 more source
A Left Atrial Positioning System to Enable Follow-up and Cohort Studies. [PDF]
Mehringer NJ, McVeigh ER.
europepmc +1 more source
Screening and epitope characterization of Nidogen‐2‐specific nanobodies
Camel immunization and phage display were employed to generate high‐affinity VHH nanobodies against Nidogen‐2. After library construction, biopanning, ELISA screening, sequencing, and recombinant expression, selected nanobodies were purified and characterized, leading to the preliminary exploration of a nanobody‐based sandwich ELISA for specific ...
Jianchuan Wen +9 more
wiley +1 more source
On-chip topological edge state cavities. [PDF]
Wang W, Shen Z, Tan YJ, Chen K, Singh R.
europepmc +1 more source
The largest prime factor of the integers in an interval
The main result in this paper is that the largest prime factor of integers in an interval of the form \([x,x+x^{1/2+\varepsilon}]\), with \(x\) sufficiently large, is at least \(x^{11/12-\varepsilon}\). The previously known best lower bound was \(x^{0.82}\) due to \textit{A. Balog}, \textit{G. Harman} and \textit{J. Pintz} [J. Lond. Math. Soc., II. Ser.
openaire +2 more sources
Matrix metalloproteinase‐9 (MMP9) drives ovarian cancer progression. Using MMP9‐null cells (M9‐KO) created from ovarian cancer cells, we found MMP9 loss did not block Epidermal Growth Factor (EGF)‐driven E‐cadherin dissolution or EMT but delayed and reduced EGF‐driven membrane protrusions. Transient MMP9 re‐expression drove membrane protrusion.
Claire Strauel +8 more
wiley +1 more source

