Results 141 to 150 of about 542,394 (229)

On certain sums involving the largest prime factor over integer sequences

open access: yes
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

open access: yesFEBS Open Bio, EarlyView.
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

Analysing the significance of small conformational changes and low occupancy states in serial crystallographic data

open access: yesFEBS Open Bio, EarlyView.
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

Screening and epitope characterization of Nidogen‐2‐specific nanobodies

open access: yesFEBS Open Bio, EarlyView.
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]

open access: yesLight Sci Appl
Wang W, Shen Z, Tan YJ, Chen K, Singh R.
europepmc   +1 more source

The largest prime factor of the integers in an interval

open access: yes, 2016
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 regulates cell adhesion and membrane protrusive activity of ovarian cancer cells

open access: yesFEBS Open Bio, EarlyView.
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

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