The robust stability of uncertain linear neutral systems with time-varying discrete and neutral delays is investigated. The uncertainties under consideration are nonlinear time-varying parameter perturbations and norm-bounded uncertainties, respectively. Both delay-dependent and delay-derivative-dependent stability criteria are proposed and are formulated in the form of linear matrix inequalities. The presented results contain some existing results as their special cases. Numerical examples are also given to indicate significant improvements over existing results.

Extracellular vesicles, especially small extracellular vesicles (sEVs) are now accepted as important messengers in cell-to-cell communication and as a promising drug delivery platform. They are involved in nearly all physiological and pathological processes and are involved in disease diagnosis and therapy. However, their heterogeneity of physicochemical properties and functions is not fully understood, which hinders further clinical applications. To obtain highly bioactive sEVs with both high yield and purity, will certainly facilitate their future study and application. This review informs up-to-date research on frequently-used and cutting-edge technologies of sEVs isolation and makes a deep comparison and analysis of different methods, including their advantages, limitations and applications. Pending questions about the inherent property of these small vesicles as well as isolation strategies are discussed. Additionally, an overview of their applications in disease diagnosis and treatment, including some of the on-going clinical trials, are also reviewed.

The use of synthetic surgical meshes for abdominal hernia repair presents numerous challenges due to insufficient mechanical strength, nonabsorbability, and implant rigidity that leads to complications including chronic inflammatory reactions and adhesions. In this study, a naturally derived, high-strength, flexible, and bioresorbable silk fibroin mesh was developed by knitted textile engineering and biochemical manipulation. The mechanical properties of the mesh were optimized with the trial of different surface coating methods (thermal or chemical treatment) and 12 different knit patterns. Our silk fibroin mesh showed sufficient tensile strength (67.83 N longitudinally and 62.44 N vertically) which afforded the high mechanical strength required for abdominal hernia repair (16 N). Compared to the commonly used commercial nonabsorbable and absorbable synthetic meshes (Prolene mesh and Ultrapro mesh, respectively), the developed silk fibroin mesh showed advantages over other meshes, including lower elongation rate (47.14% longitudinally and 67.15% vertically, p < 0.001), lower stiffness (10–1000 fold lower, p < 0.001), and lower anisotropic behavior (λ = 0.32, p < 0.001). In a rat model of large abdominal hernia repair, our mesh facilitated effective hernia repair with minimal chronic inflammation which gradually decreased from 15 to 60 days postoperation, as well as lower adhesion formation rate and scores compared to control meshes. There was more abundant and organized collagen deposition, together with more pronounced neovascularization in the repaired tissue treated with silk fibroin mesh as compared to that treated with synthetic meshes. Besides, the silk fibroin mesh gradually transferred load-bearing responsibilities to the repaired host tissue as it was bioresorbed after implantation. Its isotropic architecture favored an ease of use during operations. In summary, our findings indicate that the use of knitted silk fibroin mesh provides a safe and effective alternative solution for large abdominal hernia repairs as it overcomes the prevailing limitations associated with synthetic meshes.

One of the natural ways to prove that the Hall words (Philip Hall, 1933) consist of a basis of a free Lie algebra is a direct construction: to start with a linear space spanned by Hall words, to define the Lie product of Hall words, and then to check that the product yields the Lie identities (Marshall Hall, 1950). Here we suggest another way using the Composition-Diamond lemma for free anti-commutative (non-associative) algebras .

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