Results 51 to 60 of about 6,925,642 (276)
On a class of functional differential equations having slowly varying solutions [PDF]
Publications de l'Institut Mathematique, 2006 Functional differential equations with deviating arguments are studied for the first time in the framework of Karamata regularly varying functions. A sharp condition is established for the existence of slowly varying solutions for a class of second order linear equations of the form x" = q(t)x(g(t)), both in the retarded and in the advanced case.
Takaŝi, Kusano, Marić, Vojislav
openaire +1 more source
Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
FEBS Letters, EarlyView.Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley +1 more source
Isomorphism theorems for some parabolic initial-boundary value problems in Hörmander spaces
Open Mathematics, 2017 In Hörmander inner product spaces, we investigate initial-boundary value problems for an arbitrary second order parabolic partial differential equation and the Dirichlet or a general first-order boundary conditions.
Los Valerii, Murach Aleksandr
doaj +1 more source
Rehabilitation treatment of multiple sclerosis
Frontiers in Immunology, 2023 Multiple sclerosis is a slowly progressive disease, immunosuppressants and other drugs can delay the progression and progression of the disease, but the most patients will be left with varying degrees of neurological deficit symptoms, such as muscle ...
Haoyang Duan +5 more
doaj +1 more source
Degradation mechanism of the von Willebrand factor A2 domain by nattokinase
FEBS Letters, EarlyView.Nattokinase, a natto‐derived protease, exhibits potent antithrombotic effects. This study demonstrates that nattokinase directly cleaves the von Willebrand factor (vWF) A2 domain in vitro. Unlike the native regulator ADAMTS13, nattokinase degrades folded vWF independently of shear stress.
Ryuichi Hyakumoto +3 more
wiley +1 more source
FEBS Letters, EarlyView.We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace +6 more
wiley +1 more source
FEBS Letters, EarlyView.Proteostasis and the gut microbiota play a key role in shaping host physiology. Microbiota‐derived metabolites, vitamins, and RNA modulate host proteostasis. Findings from model systems, including C. elegans, indicate microbes can either stabilize or disrupt host proteostasis.
Abhishek Anil Dubey, Maria Ermolaeva
wiley +1 more source
Observation of a Class of Disturbance in Time Series Expansion for Fractional Order Systems
Abstract and Applied Analysis, 2014 This paper is concerned with the problem of designing disturbance observer for fractional order systems, of which the disturbance is in time series expansion. The stability of a special observer with the selected nonlinear weighted function and transient
Yiheng Wei +4 more
doaj +1 more source
Super-Slowly Varying Functions in Extreme Value Theory
Journal of the Royal Statistical Society Series B: Statistical Methodology, 1978 Summary Large-deviation limit theorems for maxima of random samples in the domain of attraction of the extreme value distribution Φα are studied, motivated by examination of an approximation used in the statistical analysis of large observations.
openaire +2 more sources
On Application of Slowly Varying Functions with Remainder in the Theory of Galton-Watson Branching Process [PDF]
Journal of Siberian Federal University. Mathematics & Physics, 2019 Summary: We investigate an application of slowly varying functions (in sense of Karamata) in the theory of Galton-Watson branching processes. Consider the critical case so that the generating function of the per-capita offspring distribution has the infinite second moment, but its tail is regularly varying with remainder.
Imomov, Azam А., Tukhtaev, Erkin E.
openaire +2 more sources