Results 41 to 50 of about 4,951 (263)
Mathematical Modelling and AnalysisFor Volterra integro-differential equations (VIDEs) with weakly singular kernels, their solutions are singular at the initial time. This property brings a great challenge to traditional numerical methods. Here, we investigate the numerical approximation
ZhiPeng Liu, DongYa Tao, Chao Zhang
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Mathematics, 2022 One of the open problems in the numerical analysis of solutions to high-dimensional nonlinear integral equations with memory kernel and proportional delay is how to preserve the high-order accuracy for nonsmooth solutions.
Ahmed Z. Amin +4 more
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Design and analysis strategies for robust microbiome ageing research
FEBS 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
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Weak solutions for singular quasilinear elliptic systems [PDF]
Complex Variables and Elliptic Equations, 2016 20 pages, This paper contains in Section 2 the results from my previous paper arXiv:1511 ...
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The weak ordinarity conjecture and $F$-singularities [PDF]
Advanced Studies in Pure Mathematics, 2018 Recently M. Mustata and V. Srinivas related a natural conjecture about the Frobenius action on the cohomology of the structure sheaf after reduction to characteristic $p > 0$ with another conjecture connecting multiplier ideals and test ideals. We generalize this relation to the case of singular ambient varieties.
Bhatt, Bhargav +2 more
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Investigating transcription factor dynamics in health and disease using FRAP
FEBS 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
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Fractal and FractionalThis paper presents a fast Crank–Nicolson L1 finite difference scheme for the two-dimensional time fractional mobile/immobile diffusion equation with weakly singular solution at the initial moment.
Haili Qiao, Aijie Cheng
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Physical mechanism of layer-dependent strong and weak coupling with electromagnetic wave in 2H-MoS2
Materials Research Express, 2021 In this work, we use the first-principles calculation method to theoretically study the strong and weak coupling between the layer-dependent MoS _2 and electromagnetic waves.
Lin Liang +5 more
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Discerning protein pools by selective staining with self‐labeling tags
FEBS Letters, EarlyView.Cell surface proteins have an intra‐ and extracellular pool. Combining genetic fusion to self‐labeling tags that can be addressed with small molecule fluorophores allows separating these pools. We highlight recent developments and techniques for state‐of‐the‐art interrogation of cell surface proteins in the complex tissue setting.
Kati Fischermanns, Johannes Broichhagen
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Does a primary hair have an impact on the naked singularity formation in hairy Vaidya spacetime?
Physics of Complex SystemsWe consider the gravitational collapse of Vaidya spacetime, which has been obtained using the gravitational decoupling method. In this paper, we are interested in whether a primary hair has any impact on the endstate of the gravitational collapse.
Виталий Дмитриевич Вертоградов
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