Approximate solutions to large nonsymmetric differential Riccati problems with applications to transport theory

In the present paper, we consider large scale nonsymmetric differential matrix Riccati equations with low rank right hand sides. These matrix equations appear in many applications such as control theory, transport theory, applied probability and others. We show how to apply Krylov-type methods such as the extended block Arnoldi algorithm to get low rank approximate solutions. The initial problem is projected onto small subspaces to get low dimensional nonsymmetric differential equations that are solved using the exponential approximation or via other integration schemes such as Backward Differentiation Formula (BDF) or Rosenbrok method. We also show how these technique could be easily used to solve some problems from the well known transport equation. Some numerical experiments are given to illustrate the application of the proposed methods to large-scale problem

Recovery of an embedded obstacle and the surrounding medium for Maxwell's system

In this paper, we are concerned with the inverse electromagnetic scattering problem of recovering a complex scatterer by the corresponding electric far-field data. The complex scatterer consists of an inhomogeneous medium and a possibly embedded perfectly electric conducting (PEC) obstacle. The far-field data are collected corresponding to incident plane waves with a fixed incident direction and a fixed polarisation, but frequencies from an open interval. It is shown that the embedded obstacle can be uniquely recovered by the aforementioned far-field data, independent of the surrounding medium. Furthermore, if the surrounding medium is piecewise homogeneous, then the medium can be recovered as well. Those unique recovery results are new to the literature. Our argument is based on low-frequency expansions of the electromagnetic fields and certain harmonic analysis techniques.Comment: 15 page

A Simple, Regioselective Synthesis of 1,4-Bis(<i>tert</i>-butoxycarbonylmethyl)- tetraazacyclododecane

A convenient synthetic route to 1,4-bis(tert-butoxycarbonylmethyl)tetraazacyclododecane (cyclen) (1) with high yield and excellent regioselectivity is described. Compound 1 reacted with a range of functionalized alkyl halides under two reaction conditions to give mono-N-alkylated 1,4-bis(tert-butoxycarbonylmethyl)tetraazacyclododecane (2−9) in good yield

DataSheet1_Mitochondrial non-coding RNA in nasopharyngeal carcinoma: Clinical diagnosis and functional analysis.docx

Background: Nasopharyngeal carcinoma is a common head and neck cancer with high incidence in Southeast Asia. Despite advances in treatment, the diagnosis of NPC remains a challenge due to its non-specific symptoms and high rate of false negatives. In this study, we aimed to identify novel non-coding RNAs (ncRNAs) as diagnostic biomarkers for NPC. Mitochondrial non-coding RNAs (mtio-ncRNAs) have been shown to play important roles in regulating various cellular processes. However, their specific functions and underlying mechanisms are largely unknown.Methods: We investigated the expression and biological function of mtio-ncRNAs in the human NPC cell line C666-1. By using high-throughput sequencing, we identified several significantly expressed mtio-ncRNAs in C666-1 cells and analyzed their target genes and enriched pathways using tsRFUN.Results: Our results showed that these significantly expressed mtio-ncRNAs mainly enriched in Cancer Gene Neighborhoods and targeted genes GCM1 and ACTG1. To validate the bioinformatics predictions, we synthesized two mtio-ncRNAs, t00846456 and t00048674, and transfected them into C666-1 cells. Our results showed that the expression of GCM1 was significantly increased by transfection of t00846456, while the expression of ACTG1 was significantly increased by transfection of t0048674. Additionally, the migration ability of the transfected cells was also enhanced.Discussion: Our findings provide novel insights into the biological functions of mtio-ncRNAs and their potential applications in cancer diagnosis and treatment.</p

Subgroup analysis based on FMT use method in short-term outcomes.

Subgroup analysis based on FMT use method in short-term outcomes.</p

Forest plot of short-term factor results.

1) Weight (Kg), 2) BMI (Kg/m2), 3) Fasting glucose (mmol/L), 4) HbA1C, 5) HOMA-IR, 6) Insulin (pmol/L), 7) Cholesterol (mmol/L), 8) HDL (mmol/L), 9) LDL (mmol/L), 10) Triglycerides (mmol/L).</p

Bioresorbable Pressure Sensor and Its Applications in Abnormal Respiratory Event Identification

Bioresorbable electronics that can be absorbed and become a part of the organism after their service life are becoming a trend to avoid secondary invasive surgery. However, the sustainable and secure supply of energy for biosensors is a significant challenge. Here, a bioresorbable pressure sensor (BPS) based on a triboelectric nanogenerator is reported. The BPS based on the triboelectric nanogenerator can directly convert ambient pressure changes into electrical signals. It offers excellent sensitivity (22.61 mV/mmHg), linearity (R2 = 0.99), and good durability (850,000 cycles). The bioresorbable materials of poly(lactic acid)/chitosan/sodium alginate in the BPS show great biocompatibility and can achieve 99.99% sterilization for both Gram-positive bacteria and Gram-negative bacteria. In addition, the device can successfully identify an abnormal respiratory event in small animals and will be completely degraded after 21 days. The BPS only employs medical materials used commonly in FDA-approved implants, which is crucial for the biosafety of bioresorbable devices. Triboelectric devices are expected to be applied in the clinic as bioresorbable electronics

Data for: Unravelling the abrasion resistance of two novel meta-stable titanium alloys on the basis of multi-pass-dual-indenter tests

Data for: Unravelling the abrasion resistance of two novel meta-stable titanium alloys on the basis of multi-pass-dual-indenter test

Quality of evidence by Grading of Recommendations Assessment, Development and Evaluation (GRADE).

Quality of evidence by Grading of Recommendations Assessment, Development and Evaluation (GRADE).</p

PRISMA flow diagram.

ObjectiveThe prevalence of obesity and type 2 diabetes is rapidly increasing worldwide, posing serious threats to human health. This study aimed to evaluate the role of FMT in the treatment of obesity and/or metabolic syndrome and its impact on clinically important parameters.MethodsWe searched Medline, Embase, and Cochrane Library databases up to April 31, 2022 and further assessed articles that met the eligibility criteria. Mean differences and 95% confidence intervals were used to analyze continuous data. The I2 statistic was used to measure study heterogeneity. Univariate meta-regression or subgroup analyses were performed to explore the covariates that might contribute to heterogeneity. Potential publication bias was assessed using the Egger’s test. We used the GRADEpro guideline development tool to assess the quality of the evidence.ResultsNine studies, comprising 303 participants, were included in the meta-analysis. In the short-term outcomes (ConclusionsFMT, as an adjunctive therapy, does not produce any serious adverse effects and may be useful in the treatment of metabolic syndrome, especially in improving HbA1c, insulin sensitivity, and HDL cholesterol. However, there was no significant difference between the FMT group and the placebo group in terms of weight reduction.</div