Results 21 to 30 of about 3,918,663 (185)

Variation diminishing properties of Bernstein polynomials on triangles

Journal of Approximation Theory, 1987
Let T be a triangle, \(f: T\to R\), \(B_ n(f,T)=Bn(f)\) the Bernstein polynomial of degree n and \(\{\hat f{}_ n\}\) the net of Bézier of order n for f on T. Let \(V(f,T)=\int_{T}(f^ 2_ x+f^ 2_ y)^{1/2} dT\) and \(V_ 1(f,T)=\int_{T}(f^ 2_{xx}+2f^ 2_{xy}+f^ 2_{yy})^{1/2} dT.\) Then the following results hold: 1) For any \(n\geq 1\) we have \(V_ 1(B_ n(f)
openaire   +2 more sources

Microbiome‐blood–brain barrier interactions in aging — mechanisms and therapeutic potential

FEBS Letters, EarlyView.
Aging reshapes the gut microbiome (↓SCFA‐producing commensals; ↑pro‐inflammatory outputs), shifting circulating metabolites (↓SCFAs; ↑LPS, ↑TMAO, ↑PAA) that act at the BBB to increase nonspecific transcytosis, alter transport, and promote astrocyte reactivity, heightening brain vulnerability.
Daniel Cuervo‐Zanatta, Hari Baskar Balasubramanian, Amir Pasokh, Marietta Zille   +3 more
wiley   +1 more source

Ligand‐dependent transcriptional heterogeneity in cell cycle gene expression delays G1/S entry

FEBS Letters, EarlyView.
EGF and HRG induce distinct G1/S progression programs in ErbB2‐amplified BT474 breast cancer cells. Despite activating the potent ErbB2–ErbB3 heterodimer, HRG does not accelerate cell‐cycle entry. Instead, EGF promotes earlier restriction‐point passage via ERK–FOS signaling, whereas HRG activates the AKT–MYC axis, driving transcriptional heterogeneity ...
Ririn Rahmala Febri, Ayaka Nagasato‐Ichikawa, Keita Iida, Shuhei Kimura, Akira Imamoto, Mariko Okada   +5 more
wiley   +1 more source

Variation entropy: a continuous local generalization of the TVD property using entropy principles

, 2019
This paper presents the notion of a variation entropy. This concept is an entropy framework for the gradient of the solution of a conservation law instead of on the solution itself. It appears that all semi-norms are admissible variation entropies.
ten Eikelder, M.F.P. (author), Akkerman, I. (author)   +1 more
core   +1 more source

Total variation diminishing schemes in optimal control of scalar conservation laws [PDF]

, 2017
In this paper, optimal control problems subject to a nonlinear scalar conservation law are studied. Such optimal control problems are challenging both at the continuous and at the discrete level since the control-to-state operator poses difficulties as ...
Hajian, Soheil, Stefan Ulbrich, Soheil Hajian, Ulbrich, Stefan, Hintermüller, Michael, Michael Hintermüller   +5 more
core   +1 more source

An Advection Scheme using Paired Explicit Runge-Kutta Time Integration for Atmospheric Modeling

Gaoyuan qixiang
In this paper， a new numerical scheme was proposed to solve the advection equation in a multi-moment nonhydrostatic dynamical core.To guarantee the shape-preserving property， the limiting operations are devised for a hybrid discretization framework ...
Zhaoyang SUN, Chungang CHEN, Xingliang LI, Xueshun SHEN   +3 more
doaj   +1 more source

From junk to function — How weak selection in eukaryotes builds new parts and drives genomic complexity

FEBS Letters, EarlyView.
How do genomes gain new functional parts? In eukaryotes, which tend to evolve under weak selection, much of the genome is junk. Palazzo and Qiu borrow the logic of Markov chains to show how non‐functional DNA becomes functional through the appearance of intermediate states, which arise due to epistasis, buffering, and biochemical messiness, allowing ...
Alexander F. Palazzo, Yi Qiu
wiley   +1 more source

DStreaM: A Convective Term Approximation Approach That Corresponds to Pure Convection

Mathematics
In recent decades, considerable effort has been devoted to developing higher-order schemes for the discretization of convective terms that are both stable and reliable.
Kiril Shterev
doaj   +1 more source

Leucine‐rich glioma inactivated 1 (LGI1) is a ganglioside‐binding protein

FEBS Letters, EarlyView.
Neuronal hyperexcitability associated with a decrease/absence of the extracellular protein LGI1 has been suggested to be primarily due to the downregulation of Kv1 channel expression. The molecular mechanisms underlying this decrease have not yet been elucidated.
Kévin Debreux, Christian Lévêque, Fodil Azzaz, Marion Sangiardi, Sarosh R Irani, Michael Seagar, Jacques Fantini, Oussama El Far   +7 more
wiley   +1 more source

Convenient total variation diminishing conditions for nonlinear difference schemes [PDF]

, 1986
Convenient conditions for nonlinear difference schemes to be total-variation diminishing (TVD) are reviewed. It is shown that such schemes share the TVD property, provided their numerical fluxes meet a certain positivity condition at extrema values but ...
Tadmor, Eitan
core