Results 31 to 40 of about 10,103 (245)

Application of Bernoulli Polynomials for Solving Variable-Order Fractional Optimal Control-Affine Problems

open access: yesAxioms, 2020
We propose two efficient numerical approaches for solving variable-order fractional optimal control-affine problems. The variable-order fractional derivative is considered in the Caputo sense, which together with the Riemann–Liouville integral operator ...
Somayeh Nemati, Delfim F. M. Torres
doaj   +1 more source

Septin 9 PB domains coordinate centrosome positioning and microtubule acetylation to control epithelial polarity

open access: yesFEBS Letters, EarlyView.
Septin 9 polybasic domains couple phosphoinositide‐rich membrane binding to centrosome positioning, Golgi organization, and microtubule acetylation to control epithelial polarity. Their loss disrupts this axis, causing centrosome mispositioning, Golgi fragmentation, reduced microtubule acetylation, and polarity inversion via upregulation of the ...
Ting ting Cai   +4 more
wiley   +1 more source

New Multiplicity Results for a Boundary Value Problem Involving a ψ-Caputo Fractional Derivative of a Function with Respect to Another Function

open access: yesFractal and Fractional
This paper considers a nonlinear impulsive fractional boundary value problem, which involves a ψ-Caputo-type fractional derivative and integral.
Yankai Li   +3 more
doaj   +1 more source

Modelling stem cell differentiation related processes—A practical overview for biologists

open access: yesFEBS Letters, EarlyView.
Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar   +4 more
wiley   +1 more source

A new scheme for the solution of the nonlinear Caputo–Hadamard fractional differential equations

open access: yesAlexandria Engineering Journal
This paper introduces a numerical approach by generalizing Legendre wavelets for solving nonlinear Caputo–Hadamard fractional differential equations. The methodology involves the extension of classical Legendre wavelets, namely the generalized Legendre ...
Umer Saeed, Mujeeb ur Rehman
doaj   +1 more source

Discrete Laplacian Operator and Its Applications in Signal Processing

open access: yesIEEE Access, 2020
Fractional calculus has increased in popularity in recent years, as the number of its applications in different fields has increased. Compared to the traditional operations in calculus (integration and differentiation) which are uniquely defined, the ...
Waseem Waheed, Guang Deng, Bo Liu
doaj   +1 more source

Design and analysis strategies for robust microbiome ageing research

open access: yesFEBS Letters, EarlyView.
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik   +5 more
wiley   +1 more source

A Comparative performance evaluation of a complex-order PI controller for DC–DC converters

open access: yesResults in Control and Optimization
Switched-mode DC–DC converters are required to maintain constant output under uncertainties and variations in input voltage and load. The controller’s robustness is crucial in such systems, and hence various controllers have been proposed in the past few
Preeti Warrier   +2 more
doaj   +1 more source

Lucas polynomials semi-analytic solution for fractional multi-term initial value problems

open access: yesAdvances in Difference Equations, 2019
Herein, we use the generalized Lucas polynomials to find an approximate numerical solution for fractional initial value problems (FIVPs). The method depends on the operational matrices for fractional differentiation and integration of generalized Lucas ...
Mahmoud M. Mokhtar, Amany S. Mohamed
doaj   +1 more source

Investigating transcription factor dynamics in health and disease using FRAP

open access: yesFEBS Letters, EarlyView.
FRAP analysis of GFP‐tagged transcription factors reveals how molecular mobility and target engagement change in response to drug treatment. By combining live‐cell imaging, quantitative model fitting, and statistical analysis, this approach uncovers transcription factor dynamics linked to disease mechanisms, providing a powerful framework for ...
Kannan Govindaraj   +3 more
wiley   +1 more source

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