Results 71 to 80 of about 13,785 (292)

Reconstructing enzyme evolution by protein engineering

open access: yesFEBS Letters, EarlyView.
Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler   +2 more
wiley   +1 more source

A Two Points Taylor's Formula for the Generalised Riemann Integral

open access: yes, 2008
A two points Taylor’s formula for the generalised Riemann integral and various bounds for the remainder are established.
Thompson, H. B, Dragomir, Sever S
core  

Fractional variational problems depending on indefinite integrals

open access: yes, 2012
We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor   +8 more
core   +1 more source

Methods for Solving Some Fractional Integral

open access: yes, 2023
: In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional calculus, we evaluate some fractional integral. The main methods we used are fractional L’Hospital’s rule, integration by parts for fractional calculus, and a new ...
Chii-Huei Yu
core   +1 more source

Some Carleman-type inequalities in ( p , q ) $(p,q)$ -calculus

open access: yesJournal of Inequalities and Applications
In this paper, we construct ( p , q ) $\left (p,q\right )$ -type Jessen’s inequality using the properties of convex functions. On this basis, we generalize the classical Carleman integral-type inequality in ( p , q ) $\left (p,q\right )$ -calculus and ...
Jiao Yu, Lin Han
doaj   +1 more source

Variations à la Fourier-Weyl-Wigner on Quantizations of the Plane and the Half-Plane

open access: yesEntropy, 2018
Any quantization maps linearly function on a phase space to symmetric operators in a Hilbert space. Covariant integral quantization combines operator-valued measure with the symmetry group of the phase space.
Hervé Bergeron, Jean-Pierre Gazeau
doaj   +1 more source

The role of miR‐335‐5p in the redifferentiation of BRAF p.V600E thyroid cancers

open access: yesMolecular Oncology, EarlyView.
The BRAF p.V600E mutation promotes thyroid cancer dedifferentiation and radioiodine resistance. Using a network approach, we identified miR‐335‐5p as a key regulator of BRAF‐mutated thyroid tumors. Restoring miR‐335‐5p increased thyroid‐specific gene expression and iodine uptake in cells and organoids.
Valeria Pecce   +11 more
wiley   +1 more source

Calculus II: The Integral and Its Applications

open access: yes, 2017
Calculus II: The Integral and Its Applications uniquely addresses all of the rules and applications of Integral Calculus necessary for the AP Calculus AB and BC courses. In addition, units are included on power series and convergence, and the calculus of
Patrick Clark
core   +1 more source

Hardy-type inequalities in fractional h-discrete calculus

open access: yesJournal of Inequalities and Applications, 2018
The first power weighted version of Hardy’s inequality can be rewritten as ∫0∞(xα−1∫0x1tαf(t)dt)pdx≤[pp−α−1]p∫0∞fp(x)dx,f≥0,p≥1 ...
Lars-Erik Persson   +2 more
doaj   +1 more source

Subtype‐specific enhancer RNAs define transcriptional regulators and prognosis in breast cancers

open access: yesMolecular Oncology, EarlyView.
This study employed machine learning methodologies to perform the subtype‐specific classification of RNA‐seq data sets, which are mapped on enhancers from TCGA‐derived breast cancer patients. Their integration with gene expression (referred to as ProxCReAM eRNAs) and chromatin accessibility profiles has the potential to identify lineage‐specific and ...
Aamena Y. Patel   +6 more
wiley   +1 more source

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