Results 81 to 90 of about 13,324 (296)
Cauchy type generalizations of holomorphic mean value theorems
Electronic Journal of Differential Equations, 2012 We extend the results on the Mean Value Theorem obtained by Flett, Myers, Sahoo, Cakmak and Tiryaki to holomorphic functions.
Anugraha Nidhi Mohapatra
doaj
Formalized Mathematics, 2023 Summary This article generalizes the differential method on intervals, using the Mizar system [2], [3], [12]. Differentiation of real one-variable functions is introduced in Mizar [13], along standard lines (for interesting survey of formalizations of real analysis in various proof-assistants like ACL2 [11], Isabelle/HOL [10], Coq [4],
openaire +2 more sources
Engineering peptides into antibodies—opportunities and strategies for therapeutic innovation
FEBS Letters, EarlyView.Peptides and antibodies occupy complementary therapeutic niches. Peptides recognize difficult targets in a compact format, while antibodies add specificity, long half‐life, and effector functions. This review examines strategies that merge both modalities—peptide grafting into loops, terminal and Fc fusions, and bioconjugation—highlighting how ...
Jinling Wang +2 more
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Differentiability in Fréchet spaces and delay differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2019 In infinite-dimensional spaces there are non-equivalent notions of continuous differentiability which can be used to derive the familiar results of calculus up to the Implicit Function Theorem and beyond.
Hans-Otto Walther
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Liver organoids: modelling complexity in homeostasis and disease
FEBS Letters, EarlyView.Studying liver in vitro has been challenging because simple 2D cell cultures fail to capture liver's cellular and architectural complexity. To bridge this gap, scientists increasingly use organoids, 3D liver models which better mimic liver composition and function. This review examines recent advances in liver organoid complexity and realism, discusses
Anna M. Dowbaj, Meritxell Huch
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Epigenetic reprogramming of lineage switching in cancer
FEBS Letters, EarlyView.Cancer cells rarely commit to a single identity. Epigenetic mechanisms and tumor microenvironment cues push epithelial cells toward flexible, hybrid states that can shift into mesenchymal, neuroendocrine, or stem‐like fates, driving metastasis, drug resistance, and tumor heterogeneity. Targeting the epigenetic regulators behind these transitions, using
Ezgi Boyvatlı +4 more
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MathematicsThis paper investigates the complexity of real functions through proof techniques inspired by formal language theory. Productiveness, which is a stronger form of non-recursive enumerability, is employed to analyze the complexity of various problems ...
Jingnan Xie +2 more
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A remark on the r-th mean differentiability
International Journal of Mathematics and Mathematical Sciences, 1984 This paper is concerned with the r-th mean differentiability. In the mathematical developments regarding the asymptotic expansion and the asymptotic distribution of the likelihood function, there arises the question whether the assumptions made on the ...
George D. Stamatelos
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The microbiome in human skin aging
FEBS Letters, EarlyView.Age‐related skin changes encompass the well‐known visible phenotypic alterations, together with microbiome dysbiosis and a series of molecular aging hallmarks. These hallmarks characterize not only a fully stablished aged phenotype but also the skin aging process itself.
Manuel Huerta Arana +3 more
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On the points of non-differentiability of convex functions [PDF]
, 2004 summary:We characterize sets of non-differentiability points of convex functions on $\Bbb R^n$. This completes (in $\Bbb R^n$) the result by Zajíček [2] which gives a characterization of the magnitude of these ...
Pavlica, David
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