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Keywords = anti-reflexive matrix

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17 pages, 3404 KB  
Article
Differential Anti-Inflammatory Effects of Electrostimulation in a Standardized Setting
by Biagio Di Pietro, Simona Villata, Simeone Dal Monego, Margherita Degasperi, Veronica Ghini, Tiziana Guarnieri, Anna Plaksienko, Yuanhua Liu, Valentina Pecchioli, Luigi Manni, Leonardo Tenori, Danilo Licastro, Claudia Angelini, Lucia Napione, Francesca Frascella and Christine Nardini
Int. J. Mol. Sci. 2024, 25(18), 9808; https://doi.org/10.3390/ijms25189808 - 11 Sep 2024
Cited by 2 | Viewed by 1905
Abstract
The therapeutic usage of physical stimuli is framed in a highly heterogeneous research area, with variable levels of maturity and of translatability into clinical application. In particular, electrostimulation is deeply studied for its application on the autonomous nervous system, but less is known [...] Read more.
The therapeutic usage of physical stimuli is framed in a highly heterogeneous research area, with variable levels of maturity and of translatability into clinical application. In particular, electrostimulation is deeply studied for its application on the autonomous nervous system, but less is known about the anti- inflammatory effects of such stimuli beyond the inflammatory reflex. Further, reproducibility and meta-analyses are extremely challenging, owing to the limited rationale on dosage and experimental standardization. It is specifically to address the fundamental question on the anti-inflammatory effects of electricity on biological systems, that we propose a series of controlled experiments on the effects of direct and alternate current delivered on a standardized 3D bioconstruct constituted by fibroblasts and keratinocytes in a collagen matrix, in the presence or absence of TNF-α as conventional inflammation inducer. This selected but systematic exploration, with transcriptomics backed by metabolomics at specific time points allows to obtain the first systemic overview of the biological functions at stake, highlighting the differential anti-inflammatory potential of such approaches, with promising results for 5 V direct current stimuli, correlating with the wound healing process. With our results, we wish to set the base for a rigorous systematic approach to the problem, fundamental towards future elucidations of the detailed mechanisms at stake, highlighting both the healing and damaging potential of such approaches. Full article
(This article belongs to the Special Issue Signaling Pathways in Acute and Chronic Inflammation)
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12 pages, 280 KB  
Article
Matrix Equation’s Reflexive and Anti-Reflexive Solutions over Quaternions
by Xin Liu, Kaiqi Wen and Yang Zhang
Symmetry 2023, 15(1), 40; https://doi.org/10.3390/sym15010040 - 23 Dec 2022
Viewed by 1766
Abstract
We consider when the quaternion matrix equation AXB+CXD=E has a reflexive (or anti-reflexive) solution with respect to a given generalized reflection matrix. We adopt a real representation method to derive the solutions when it is [...] Read more.
We consider when the quaternion matrix equation AXB+CXD=E has a reflexive (or anti-reflexive) solution with respect to a given generalized reflection matrix. We adopt a real representation method to derive the solutions when it is solvable. Moreover, we obtain the explicit expressions of the least-squares reflexive (or anti-reflexive) solutions. Full article
(This article belongs to the Special Issue The Quaternion Matrix and Its Applications)
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