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Fractional Calculus Operators and the Mittag-Leffler Function
This book focuses on applications of the theory of fractional calculus in numerical analysis and various fields of physics and engineering. Inequalities involving fractional calculus operators containing the Mittag–Leffler function in their kernels are ...
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ABSTRACT Background Allogeneic hematopoietic stem cell transplantation (alloHSCT) is an essential therapy for several malignant and nonmalignant diseases, but relapse and graft loss remain the principal threats to its success. Routine monitoring of chimerism and minimal residual disease (MRD) enables early detection of imminent recurrence and guides ...
Carmen Junk +10 more
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ДРОБНОЕ ИСЧИСЛЕНИЕ И АППРОКСИМАЦИОННЫЕ МЕТОДЫ В МОДЕЛИРОВАНИИ ДИНАМИЧЕСКИХ СИСТЕМ [PDF]
Книга посвящена аппроксимационно-операционным методам моделирования динамических систем дробного и смешанного порядков. Рассмотрены методы аппроксимации сигналов обобщенными полиномами с различными системами базисных функций, построение на основе этих ...
Симак, Лилия Алексеевна +1 more
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Reconstructing enzyme evolution by protein engineering
Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
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The Shewanella oneidensis Fic enzyme SoFic targets the switch‐I region of EF‐Tu for AMPylation
Fic enzymes mediate diverse post‐translational modifications across all domains of life, including AMPylation. Prokaryotic EF‐Tu can be AMPylated and deAMPylated by the conserved Fic enzyme SoFic. Structural and biochemical approaches were used to characterize the effect of AMPylation on EF‐Tu, SoFic's enzymatic activities, and the enzyme‐target ...
Svenja Runge +6 more
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Fractional Calculus - Theory and Applications
In recent years, fractional calculus has led to tremendous progress in various areas of science and mathematics. New definitions of fractional derivatives and integrals have been uncovered, extending their classical definitions in various ways. Moreover,
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DNA ligase LigE increases bacterial transformation with damaged extracellular DNA
The DNA ligase LigE from the naturally competent Gram‐negative bacterium Neisseria gonorrhoaea increases transformation with cut extracellular DNA. This process is ATP‐dependent and relies on the catalytic activity of LigE; it also requires that LigE contains an intact periplasmic localisation sequence, indicating that ligE functions in the periplasm ...
Jolyn Pan +4 more
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Non-Additivity and Additivity in General Fractional Calculus and Its Physical Interpretations
In this work, some properties of the general convolutional operators of general fractional calculus (GFC), which satisfy analogues of the fundamental theorems of calculus, are described. Two types of general fractional (GF) operators on a finite interval
Vasily E. Tarasov
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We identify USP29 as the only DUB mirroring CA9 expression, a marker of hypoxia and HIF pathway activation associated with PCA aggressiveness. USP29 stabilizes HIF‐1α and HIF‐2α via a noncanonical mechanism that is independent of PHD/pVHL activity yet relies on proteasomal regulation, establishing USP29 as a previously unrecognized regulator of hypoxic
Amelie S Schober +16 more
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Modified Mittag-Leffler Functions with Applications in Complex Formulae for Fractional Calculus
Mittag-Leffler functions and their variations are a popular topic of study at the present time, mostly due to their applications in fractional calculus and fractional differential equations.
Iftikhar Husain +3 more
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