Results 51 to 60 of about 35,914 (259)
Application of operator splitting to solve reaction-diffusion equations
Electronic Journal of Qualitative Theory of Differential Equations, 2012 Approximate solutions of systems of semilinear ordinary differential equations obtained by different splitting methods are investigated. The local error in the numerical solution of such semilinear problems is evaluated.
T. Ladics
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Splitting spectral element method for fractional reaction-diffusion equations
Journal of Algorithms & Computational Technology, 2020 In this paper, we propose a second-order operator splitting spectral element method for solving fractional reaction-diffusion equations. In order to achieve a fast second-order scheme in time, we decompose the original equation into linear and nonlinear ...
Qi Li, Fangying Song
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FEBS Open Bio, EarlyView.RoboMic is an automated confocal microscopy pipeline for high‐throughput functional imaging in living cells. Demonstrated with fluorescence recovery after photobleaching (FRAP), it integrates AI‐driven nuclear segmentation, ROI selection, bleaching, and analysis.
Selçuk Yavuz +6 more
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Orthogonal polynomials and diffusion operators
Annales de la Faculté des sciences de Toulouse : Mathématiques, 2022 We study the following problem: describe the triplets ( Ω , g , μ )
Bakry, Dominique +2 more
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Solutions of a Nonlinear Diffusion Equation with a Regularized Hyper-Bessel Operator
Fractal and Fractional, 2022 We investigate the Cauchy problem for a nonlinear fractional diffusion equation, which is modified using the time-fractional hyper-Bessel derivative. The source function is a gradient source of Hamilton–Jacobi type. The main objective of our current work
Nguyen Hoang Luc +2 more
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FEBS Open Bio, EarlyView.Unique biological samples, such as site‐specific mutant proteins, are available only in limited quantities. Here, we present a polarization‐resolved transient infrared spectroscopy setup with referencing to improve signal‐to‐noise tailored towards tracing small signals. We provide an overview of characterizing the excitation conditions for polarization‐
Clark Zahn, Karsten Heyne
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Directed evolution of enzymes at the crossroads of tradition and innovation
FEBS Open Bio, EarlyView.An iterative cycle of data‐driven enzyme optimization comprising four stages: genetic diversification of a template enzyme, expression of protein variants, high‐throughput evaluation, and machine‐learning‐guided redesign of the next variant library.
Maria Tomkova +2 more
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FEBS Open Bio, EarlyView.The cytoskeleton‐mediated transport of mitochondria via tunnelling nanotubes restores respiration, increases ATP production, rescues cells from apoptosis, activates the AKT/mTOR signalling pathway, promotes cell migration and invasiveness, contributes to cancer progression and treatment resistance.
Stanislava Martínková, Jan Trnka
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Aging and Cancer, EarlyView.This systematic review synthesizes prognostic models for survival and recurrence in resected non‐small cell lung cancer. While many models demonstrate moderate to good discrimination, few are externally validated and reporting quality is variable, limiting clinical applicability and highlighting the need for robust, transparent model development ...
Evangeline Samuel +4 more
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Comptes Rendus. Mathématique, 2020 We describe a second order in space combination of methods suppressing oscillations appearing for diffusion operator discretization with cell-centered finite volume schemes.
Le Potier, Christophe
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