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Symplectic Bregman Divergences.
Entropy (Basel)
December 2024
Sony Computer Science Laboratories Inc., Tokyo 141-0022, Japan.
We present a generalization of Bregman divergences in finite-dimensional symplectic vector spaces that we term symplectic Bregman divergences. Symplectic Bregman divergences are derived from a symplectic generalization of the Fenchel-Young inequality which relies on the notion of symplectic subdifferentials. The symplectic Fenchel-Young inequality is obtained using the symplectic Fenchel transform which is defined with respect to the symplectic form.
View Article and Find Full Text PDFThe evolution of S-nitrosylation detection methodology and the role of protein S-nitrosylation in various cancers.
Cancer Cell Int
December 2024
Department of Radiation Oncology, The Second Hospital of Jilin University, Changchun, China.
S-nitrosylation (SNO) modification, a nitric oxide (NO)-mediated post-translational modification (PTM) of proteins, plays an important role in protein microstructure, degradation, activity, and stability. Due to the presence of reducing agents, the SNO modification process mediated by NO derivatives is often reversible and unstable. This reversible transformation between SNO modification and denitrification often influences the structure, activity, and function of proteins.
View Article and Find Full Text PDFHow Do People With Schizophrenia Manage Their Daily Life? A Qualitative Study.
Int J Ment Health Nurs
February 2025
Faculty of Medicine and Health Sciences, Department of Rehabilitation Sciences, Occupational Therapy Research Group, Ghent University, Ghent, Belgium.
Due to the rising number of long-term mental health conditions, there has been a shift in therapeutic focus from curing these conditions, to living a meaningful life with them. Self-management is described as the ability to live with the emotional, life role and medical consequences of long-term conditions such as schizophrenia. However, the perspective of people with schizophrenia on self-management in current literature is missing.
View Article and Find Full Text PDFGeometrical frustration in nonlinear mechanics of screw dislocation.
R Soc Open Sci
December 2024
Graduate School of Engineering Science, Osaka University, 1-3 Machikaneyama-cho, Toyonaka, Osaka 560-8531, Japan.
The existence of stress singularities and reliance on linear approximations pose significant challenges in comprehending the stress field generation mechanism around dislocations. This study employs differential geometry and calculus of variations to mathematically model and numerically analyse screw dislocations. The kinematics of the dislocation are expressed by the diffeomorphism of the Riemann-Cartan manifold, which includes both the Riemannian metric and affine connection.
View Article and Find Full Text PDFA more holistic view of the logarithmic dose-response curve offers greater insights into insulin responses.
J Biol Chem
November 2024
Laboratory of Biocomplexity and Engineering Biology, School of Medicine, The Chinese University of Hong Kong, Shenzhen, China; Futian Biomedical Innovation R&D Center, The Chinese University of Hong Kong, Shenzhen, China; Ciechanover Institute of Precision and Regenerative Medicine, School of Medicine, The Chinese University of Hong Kong, Shenzhen, China; Center for Endocrinology and Metabolic Diseases, Second Affiliated Hospital, The Chinese University of Hong Kong, Shenzhen, China. Electronic address:
The stimulus-response curve is usually modeled by the Hill function due to its simplicity and clear molecular mechanisms (Michaelis-Menten type of kinetics). Unfortunately, the mechanisms do not explain why the stimulus is ubiquitously measured by logarithmic dose rather than the dose itself and why the log(dose)-response curve possesses such fine properties as symmetry and wide adjustability. Here, the dose-response is considered from a holistic perspective spanning multiple biological levels from molecules to the whole organism, which reveals that an appropriate model for log(dose) response is the cumulative normal distribution (CND) function, which had only statistical implication previously but now possess mechanistic-statistical duality.
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