Results 111 to 120 of about 1,846,959 (284)

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

Further Fractional Hadamard Integral Inequalities Utilizing Extended Convex Functions

open access: yesFractal and Fractional
This work investigates novel fractional Hadamard integral inequalities by utilizing extended convex functions and generalized Riemann-Liouville operators.
Areej A. Almoneef   +2 more
doaj   +1 more source

Error Bounds for Lagrange Interpolation

open access: yesJournal of Approximation Theory, 1995
Consider an interpolation of functions \(f\in W_ \infty^ m [a,b]\) by Lagrange polynomials \(\ell_{m-1}\), \(\Delta(f)\) of degree \(m-1\) at the mesh \(\Delta\) of the interpolating nodes \(\{t_ j\}^ m_ 1\). Error bounds due to this approximation is evaluated as \[ L_{m,k} (\Delta)= \sup_{x\in [a,b]} L_{m,k} (\Delta,x)= {\textstyle {1\over m ...
openaire   +1 more source

Refinement of amino‐acid conformation vs. difference density maps in time‐resolved serial femtosecond crystallography data analysis

open access: yesFEBS Open Bio, EarlyView.
The dFoCC pipeline starts with observed DED and resting‐state coordinates, which are then used to generate a library of triggered states. Correlation analysis of the calculated DED features of each candidate vs observed DED permits quantitative evaluation of candidate structural quality.
Meng Iao Fong   +3 more
wiley   +1 more source

Asymptotic Behavior of the Modulus of the Kernel and Error Bounds of Anti-Gaussian Quadrature Formulas with Jacobi Weights

open access: yesMathematics
In this paper, the remainder term of anti-Gaussian quadrature rules for analytic integrands with respect to Jacobi weight functions ωa,b(x)=(1−x)a(1+x)b, where a,b>−1, is analyzed, and sharp estimates of the error are provided.
Ramon Orive   +4 more
doaj   +1 more source

Error bounds for eigenvectors of self-adjoint operators

open access: yes, 1962
Error estimates are given for ||ui-phi||, where ui is a normalized eigenvector of a selfadjoint operator A and phi is a normalized approximating vector.
Bazley, Norman W.; Fox, David W.
core   +1 more source

Sudden anaerobization in Amphibacillus xylanus increases intracellular labile ferrous iron and inhibits cell growth

open access: yesFEBS Open Bio, EarlyView.
Abruptly changing from aerobic to anaerobic conditions (sudden anaerobization) induced growth inhibition and a significant increase in intracellular labile ferrous iron in the aerotolerant anaerobe Amphibacillus xylanus. We found that free flavins mediate efficient electron transfer from NADH to ferric iron under anaerobic conditions, suggesting that ...
Shinya Kimata   +13 more
wiley   +1 more source

The crystal structure of the Borrelia burgdorferi nicotinamidase BBE22 resolves a long‐standing annotation error

open access: yesFEBS Open Bio, EarlyView.
The crystal structure of Borrelia burgdorferi nicotinamidase (PncA/BBE22) reveals the correct full‐length protein initiated from a non‐canonical AUU start codon. The structure validates previous biochemical findings and resolves a long‐standing annotation error, demonstrating that the truncated database sequence is structurally incompatible with the ...
Kalvis Brangulis
wiley   +1 more source

Directed evolution of enzymes at the crossroads of tradition and innovation

open access: yesFEBS Open Bio, EarlyView.
An iterative cycle of data‐driven enzyme optimization comprising four stages: genetic diversification of a template enzyme, expression of protein variants, high‐throughput evaluation, and machine‐learning‐guided redesign of the next variant library.
Maria Tomkova   +2 more
wiley   +1 more source

Effect of terahertz irradiation on DNA damage repair in living cells

open access: yesFEBS Open Bio, EarlyView.
We investigated the effect of terahertz (THz) wave irradiation on DNA double‐strand break (DSB) repair in living cells. We found that THz irradiation enhanced DSB repair at specific frequencies, whereas heat treatment inhibited it, indicating that this effect is nonthermal and frequency‐specific.
Yuya Ueno   +3 more
wiley   +1 more source

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