Results 51 to 60 of about 13,293 (292)

On the Rigorous Correspondence Between Operator Fractional Powers and Fractional Derivatives via the Sonine Kernel

Fractal and Fractional
Traditional operational calculus, while intuitive and effective in addressing problems in physical fractal spaces, often lacks the rigorous mathematical foundation needed for fractional operations, sometimes resulting in inconsistent outcomes. To address
Zelin Liu, Xiaobin Yu, Yajun Yin
doaj   +1 more source

Multivariable Fractional-Order Controller Design for a Nonlinear Dual-Tank Device

Fractal and Fractional, 2023
Fractional calculus is defined by expanded integer order integration and differentiation. In this paper, multiple mathematical models of a nonlinear dual-tank device are precisely formulated by fractional calculus.
Ryota Kochi, Mingcong Deng
doaj   +1 more source

On fractional $(p,q)$-calculus [PDF]

Advances in Difference Equations, 2020
AbstractIn this paper, the new concepts of$(p,q)$(p,q)-difference operators are introduced. The properties of fractional$(p,q)$(p,q)-calculus in the sense of a$(p,q)$(p,q)-difference operator are introduced and developed.
Jarunee Soontharanon, Thanin Sitthiwirattham   +1 more
openaire   +2 more sources

Transferrin receptor 1‐mediated iron uptake supports thermogenic activation in human cervical‐derived adipocytes

FEBS Letters, EarlyView.
In this study, we found that human cervical‐derived adipocytes maintain intracellular iron level by regulating the expression of iron transport‐related proteins during adrenergic stimulation. Melanotransferrin is predicted to interact with transferrin receptor 1 based on in silico analysis.
Rahaf Alrifai, Mizuki Seo, Gyath Karadsheh, Fachrur Rizal Mahendra, Máté Á Demény, Ferenc Győry, János András Mótyán, László Fésüs, Endre Kristóf, Rini Arianti   +9 more
wiley   +1 more source

Fractional robust control with iso-damping property [PDF]

, 2008
This article deals with the problem of the reduction of structural vibrations with isodamping property. The proposed methodology is based on: - a contour defined in the Nichols plane and significant of the damping ratio of the closed-loop response - a ...
Janat, Yaman, Oustaloup, Alain, Pommier-Budinger, Valérie, A. Oustaloup, V. Pommier-Budinger, D. Nelson-Gruel, Lanusse, Patrick, Nelson-Gruel, Dominique, Y. Janat, P. Lanusse   +9 more
core   +1 more source

Tau acetylation at K331 has limited impact on tau pathology in vivo

FEBS Letters, EarlyView.
We mapped tau post‐translational modifications in humanized MAPT knock‐in mice and in amyloid‐bearing double knock‐in mice. Acetylation within the repeat domain, particularly around K331, showed modest increases under amyloid pathology. To test functional relevance, we generated MAPTK331Q knock‐in mice.
Shoko Hashimoto, Yukio Matsuba, Mika Takahashi, Takaomi C. Saido   +3 more
wiley   +1 more source

Valosin‐containing protein counteracts ATP‐driven dissolution of FUS condensates through its ATPase activity in vitro

FEBS Letters, EarlyView.
Biomolecular condensates formed by fused in sarcoma (FUS) are dissolved by high ATP concentrations yet persist in cells. Using a reconstituted system, we demonstrate that valosin‐containing protein (VCP), an AAA+ ATPase, counteracts ATP‐driven dissolution of FUS condensates through its D2 ATPase activity.
Hitomi Kimura, Shin‐ichi Tate, Kyota Yasuda   +2 more
wiley   +1 more source

Using the fractional order calculus in the combination of the MIT and Lyapunov stability method

, 2020
The main idea of the current paper consists in introducing the fractional order calculus in a control system. To control the system, an adaptive control technique with reference model is used. The fractional order models for the plant and reference model
Coman, Simona, Simona Coman, Cristian Boldisor, Boldisor, Cristian   +3 more
core   +1 more source

New definitions of fractional derivatives and integrals for complex analytic functions

Arab Journal of Basic and Applied Sciences, 2023
In this paper, we introduce a ground-breaking approach to defining fractional calculus for a selected class of analytic functions. Our new definitions, based on a novel and intuitive understanding of fractional derivatives and integrals, offer improved ...
Mohammad Abu-Ghuwaleh, Rania Saadeh
doaj   +1 more source

pH‐mediated activation of the lysosomal arginine sensor SLC38A9

FEBS Letters, EarlyView.
Cells monitor nutrient levels via the lysosomal transporter SLC38A9 to activate the mechanistic target of rapamycin complex 1 (mTORC1). This study reveals that SLC38A9 function is regulated by pH. We identified histidine 544 as a critical pH sensor that undergoes conformational changes to control amino acid efflux from lysosomes; therefore, it ...
Xuelang Mu, Ampon Sae Her, Tamir Gonen
wiley   +1 more source