Adaptive delayed feedback control for stabilizing unstable steady states.

Delayed feedback control is a commonly used control method for stabilizing unstable periodic orbits and unstable steady states. The present paper proposes an adaptive tuning delay time rule for delayed feedback control focused on stabilizing unstable steady states. The rule is designed to slowly vary the delay time, increasing the difference between the past and current states of dynamical systems, which induces the delay time to automatically fall into the stability region. We numerically confirm that the tuning rule works well for the Stuart-Landau oscillator, FitzHugh-Nagumo model, and Lorenz system.

Effects of Laurus nobilis Leaf Extract (LAURESH®) on Oral and Gut Microbiota Diversity in Mice.

BACKGROUND/AIM: The leaves of Laurus nobilis have been used for culinary purposes for many years and have recently been shown to have beneficial effects on human health by altering microbiota composition. However, the effects of L. nobilis on the diversity of microbiomes in the oral cavity and gut remain unknown. Therefore, in this study, we examined the effects of an extract of L. nobilis on the diversity of microbiomes in the oral cavity and gut in mice. MATERIALS AND METHODS: C57BL/6J mice were randomly divided into two groups and fed a standard diet (SD) and a standard diet containing 5% LAURESH®, a laurel extract (SDL). After 10 weeks, oral swabs and fecal samples were collected. The bacterial DNA extracted from the oral swabs and feces was used for microbiota analysis using 16S rRNA sequencing. The sequencing data were analyzed using the Quantitative Insights into Microbial Ecology 2 in the DADA2 pipeline and 16S rRNA database. RESULTS: The α-diversity of the oral microbiome was significantly greater in the SDL group than in the SD group. The ß-diversity of the oral microbiome was also significantly different between the groups. Moreover, the taxonomic abundance analysis showed that five bacteria in the gut were significantly different among the groups. Furthermore, the SDL diet increased the abundance of beneficial gut bacteria, such as Akkermansia sp. CONCLUSION: Increased diversity of the oral microbiome and proportion of Akkermansia sp. in the gut microbiome induced by L. nobilis consumption may benefit oral and gut health.

Delay-induced amplitude death in multiplex oscillator network with frequency-mismatched layers.

The present paper analytically investigates the stability of amplitude death in a multiplex Stuart-Landau oscillator network with a delayed interlayer connection. The network consists of two frequency-mismatched layers, and all oscillators in each layer have identical frequencies. We show that, if the matrices describing the network topologies of each layer commute, then the characteristic equation governing the stability can be reduced to a simple form. This form reveals that the stability of amplitude death in the multiplex network is equally or more conservative than that in a pair of frequency-mismatched oscillators coupled by a delayed connection. In addition, we provide a procedure for designing the delayed interlayer connection such that amplitude death is stable for any commuting matrices and for any intralayer coupling strength. These analytical results are verified through numerical examples. Moreover, we numerically discuss the results for the case in which the commutative property does not hold.

Transcriptomic analysis of the submandibular gland under psychological stress condition.

BACKGROUND: Psychological stress is associated with changes in salivary flow and composition. However, studies to show the effect of psychological stress on the transcriptome of the salivary gland are limited. This study aims to perform a transcriptomic analysis of the submandibular gland under psychological stress using a chronic restraint stress model of rats. METHODS: Sprague-Dawley rats were divided into stress groups and control groups. Psychological stress was induced in the stress group rats by enclosing them in a plastic tube for 4 h daily over 6 weeks. RNA sequencing was performed on RNA extracted from the submandibular gland. The differentially expressed genes were identified, and the genes of interest were further validated using qRT-PCR, immunofluorescence, and western blot. RESULTS: A comparison between control and stress groups showed 45 differentially expressed genes. The top five altered genes in RNA sequencing data showed similar gene expression in qRT-PCR validation. The most downregulated gene in the stress group, FosB, was a gene of interest and was further validated for its protein-level expression using immunofluorescence and western blot. The genesets for gene ontology cellular component, molecular function, and KEGG showed that pathways related to ribosome biosynthesis and function were downregulated in the stress group compared to the control. CONCLUSION: Psychological stress showed transcriptomic alteration in the submandibular gland. The findings may be important in understanding stress-related oral diseases.