Results 41 to 50 of about 4,079 (268)
Efficient discretization of stochastic integrals [PDF]
Finance and Stochastics, 2013 Sharp asymptotic lower bounds of the expected quadratic variation of discretization error in stochastic integration are given. The theory relies on inequalities for the kurtosis and skewness of a general random variable which are themselves seemingly new. Asymptotically efficient schemes which attain the lower bounds are constructed explicitly.
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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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A Comparison of Stochastic Integrals
The Annals of Probability, 1979 the existence of the star integral, we give a formula relating the two integrals. We show that the star integral is equal to the dot integral provided one takes a projection of the integrand onto the space of predictable processes before evaluating the dot integral.
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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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Golgi enzymes are retrieved from the plasma membrane to the trans‐Golgi network
FEBS Letters, EarlyView.Golgi enzymes are traditionally considered resident proteins retained within the Golgi apparatus. Here, we demonstrate that a subset transiently reaches the cell surface and is subsequently retrieved to the trans‐Golgi network via retrograde transport. Using a nanobody‐based toolkit, we uncover a dynamic trafficking cycle of several Golgi enzymes.
Dominik P. Buser, Tina Junne
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Random representation of Blasius’ formula through stochastic complex integrals
International Journal of Mathematics for Industry, 2019 Two-dimensional flow is considered in the complex plane. We discuss Blasius’ formula in a perfect fluid through stochastic complex integrals. This formula is also investigated in a viscous fluid.
Kouji Yamamuro
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Journal of Harbin University of Science and Technology, 2022 The applications of the theories of square-mean almost automorphic type functions have attracted more and more attention by mathematics researchers, square-mean asymptotically almost automorphic solutions of this class of differential equations have a ...
YAO Hui-li +3 more
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Molecular Oncology, EarlyView.Breast cancer remains a major cause of cancer death in women, frequently developing endocrine therapy resistance. This study demonstrates that upregulated p21‐activated kinase 1 (PAK1) activity drives resistance to tamoxifen and long‐term estrogen deprivation in ER+ breast cancer models.
Luisa Schwarzmüller +10 more
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Molecular Oncology, EarlyView.Single‐cell DNA methylation (scDNAme) profiling maps epimutational clonal evolution, revealing mechanisms of malignancy and therapeutic resistance across diverse cancer types. By providing a high‐resolution landscape of intratumoral heterogeneity, these technologies empower precise patient stratification, guide the development of enhanced ...
Ik Soo Kim
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On the weak convergence of multiparameter stochastic integrals
Open MathematicsIn this paper we provide sufficient conditions for sequences of stochastic processes of the form ∫ [0,t] f n(u)θ n(u)du, to weakly converge, in the space of continuous functions over a closed interval, to integrals with respect to the Brownian motion, ∫ [
Bardina Xavier, Boukfal Salim
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