Results 81 to 90 of about 621,794 (386)

Kipriyanov's Fractional Calculus Prehistory and Legacy [PDF]

arXiv, 2023
This paper is partly a historical survey of various approaches and methods in the fractional calculus, partly a description of the Kipriyanov extraordinary theory in comparison with the classical one. The significance and outstanding methods in constructing the independent Kipriyanov fractional calculus theory are convexly stressed, also we represent ...
arxiv  

STAT3 expression is reduced in cardiac pericytes in HFpEF and its loss reduces cellular adhesion and induces pericyte senescence

FEBS Letters, EarlyView.
Heart failure with preserved ejection fraction (HFpEF) accounts for half of the heart failure cases. It is characterised by microvascular dysfunction, associated with reduced pericyte coverage and diminished STAT3 expression in pericytes. Loss of STAT3 impairs pericyte adhesion, promotes senescence, and activates a pro‐fibrotic gene program.
Leah Rebecca Vanicek, Ariane Fischer, Mariano Ruz Jurado, Anita Tamiato, Tara Procida‐Kowalski, Jochen Wilhelm, Dennis Hecker, Maximilian Merten, Felicitas Escher, Badder Kattih, Valentina Puntmann, David John, Marcel H. Schulz, Eike Nagel, Stefanie Dimmeler, Guillermo Luxán   +15 more
wiley   +1 more source

On New Unified Bounds for a Family of Functions via Fractional q-Calculus Theory

Journal of Function Spaces, 2020
The present article deals with the new estimates in q-calculus and fractional q-calculus on a time scale Tt0=0∪t:t=t0qn,n is a nonnegative integer, where t0∈ℝ and ...
Li Xu, Yu-Ming Chu, Saima Rashid, A. A. El-Deeb, Kottakkaran Sooppy Nisar   +4 more
doaj   +1 more source

Fractional Calculus in Wave Propagation Problems [PDF]

, 2012
Fractional calculus, in allowing integrals and derivatives of any positive order (the term "fractional" kept only for historical reasons), can be considered a branch of mathematical physics which mainly deals with integro-differential equations, where ...
Mainardi, Francesco
core  

Holder exponents of irregular signals and local fractional derivatives

, 1997
It has been recognized recently that fractional calculus is useful for handling scaling structures and processes. We begin this survey by pointing out the relevance of the subject to physical situations.
A Arneodo, A B Chhabra, A Juneja, A Ott, A S Besicovitch, A Zygmund, Anil D Gangal, B B Mandelbrot, B B Mandelbrot, B B Mandelbrot, B Ross, C Meneveau, E M Stein, E M Stein, G H Hardy, G H Hardy, G Jumarie, G M Zaslavsky, G V Welland, H C Fogedby, H E Roman, I Daubechies, I Eyink, J D Farmer, J F Muzy, J Feder, J Gerver, J J Duistermaat, J L Kaplan, J P Bouchaud, K B Oldham, K Falconer, K L Sebastian, K M Kolwankar, K S Miller, K Sarkar, Kiran M Kolwankar, L F Abott, M F Schlesinger, M F Shlesinger, M F Shlesinger, M F Shlesinger, M Giona, M H Jensen, M Holschneider, M Holschneider, M V Berry, M Zähle, N Patzschke, P Collet, P Constantin, P Constantin, R Benzi, R Benzi, R Cawley, R D Mauldin, R Hilfer, R Hilfer, R P Feynmann, R Riedi, S Jaffard, T C Halsey, T H Solomon, T J Osler, T Vicsek, T W Körner, U Frisch, W G Glöckle, W R Schneider, W Wyss   +69 more
core   +2 more sources

Ion channel function of polycystin‐2/polycystin‐1 heteromer revealed by structure‐guided mutagenesis

FEBS Letters, EarlyView.
Mutations in polycystin‐1 (PC1) or polycystin‐2 (PC2) cause autosomal‐dominant polycystic kidney disease (ADPKD). We generated a novel gain‐of‐function PC2/PC1 heteromeric ion channel by mutating pore‐blocking residues. Moreover, we demonstrated that PC2 will preferentially assemble with PC1 to form heteromeric complexes when PC1 is co‐expressed ...
Tobias Staudner, Juthamas Khamseekaew, M. Gregor Madej, Linda Geiges, Bardha Azemi, Christine Ziegler, Christoph Korbmacher, Alexandr V. Ilyaskin   +7 more
wiley   +1 more source

Diffusion on middle-$\xi$ Cantor sets

, 2018
In this paper, we study $C^{\zeta}$-calculus on generalized Cantor sets, which have self-similar properties and fractional dimensions that exceed their topological dimensions.
Baleanu, Dumitru, Fernandez, Arran, Golmankhaneh, Ali Khalili, Golmankhaneh, Alireza Khalili   +3 more
core   +1 more source

Brucella NyxA and NyxB dimerization enhances effector function during infection

FEBS Letters, EarlyView.
Brucella abortus thrives inside cells thanks to the translocation of effector proteins that fine‐tune cellular functions. NyxA and NyxB are two effectors that destabilize the nucleolar localization of their host target, SENP3. We show that the Nyx proteins directly interact with each other and that their dimerization is essential for their function ...
Lison Cancade‐Veyre, Arthur Louche, Francine C. A. Gérard, Laurent Terradot, Suzana P. Salcedo   +4 more
wiley   +1 more source

On nonlinear fractional Hahn integrodifference equations via nonlocal fractional Hahn integral boundary conditions

AIMS Mathematics
All authors Fractional Hahn differences and fractional Hahn integrals have various applications in fields where discrete fractional calculus plays a significant role, such as in discrete biological modeling and signal processing to handle systems with ...
Nichaphat Patanarapeelert, Jiraporn Reunsumrit, Thanin Sitthiwirattham   +2 more
doaj   +1 more source

The carboxylate “gripper” of the substrate is critical for C‐4 stereo‐inversion by UDP‐glucuronic acid 4‐epimerase

FEBS Letters, EarlyView.
UDP‐glucuronic acid 4‐epimerase (UGAepi) catalyzes NAD+‐dependent interconversion of UDP‐glucuronic acid (UDP‐GlcA) and UDP‐galacturonic acid (UDP‐GalA) via C4‐oxidation, 4‐keto‐intermediate rotation, and C4‐reduction. Here, Borg et al. examined the role of the substrate's carboxylate group in the enzymic mechanism by analyzing NADH‐dependent reduction
Annika J. E. Borg, Laura De Cnop, Bernd Nidetzky   +2 more
wiley   +1 more source