We discuss here the application of the simultaneous block diagonalization (SBD) of matrices to the study of the stability of both complete and cluster synchronization in random (generic) networks. For both problems, we define indices that measure success (or failure) of application of the SBD technique in decoupling the stability problem into problems of lower dimensionality. We then see that in the case of random networks the extent of the dimensionality reduction achievable is the same as that produced by application of a trivial transformation.
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http://dx.doi.org/10.1103/PhysRevE.105.014313 | DOI Listing |
Precis Chem
January 2025
Key Laboratory of Biobased Polymer Materials, College of Polymer Science and Engineering, Qingdao University of Science and Technology, Qingdao 266042, China.
The one-pot terpolymerization of epoxide (EP), anhydride (AH), and CO to synthesize polyester-polycarbonate copolymers with precise sequences remains a significant challenge in polymer chemistry. In this study, promising progress was achieved by utilizing a cyclic trimeric phosphazene base (CTPB) and triethylboron (TEB) as a binary catalyst, enabling the synthesis of both well-defined block and truly random poly(ester-carbonate) copolymers through the one-pot terpolymerization of EP/AH/CO. By adjusting the molar ratio of CTPB/TEB to 1/0.
View Article and Find Full Text PDFJ Nanobiotechnology
January 2025
Department of Dermatology and Venereology, The First Affiliated Hospital of Wenzhou Medical University, Wenzhou, Zhejiang, 325000, China.
Background: Both oxidative stress and autoimmune responses play crucial roles in the development of vitiligo. Under oxidative stress, the apoptotic melanocytes expose self-antigens and release high mobility group box 1 (HMGB1), triggering autoimmune activation and recruiting CD8 T cells. This process further leads to the destruction of melanocytes, resulting in the lack of melanin granules.
View Article and Find Full Text PDFJ Am Chem Soc
January 2025
Key Laboratory of Precision and Intelligent Chemistry, Department of Chemistry, University of Science and Technology of China, Hefei, Anhui 230026, China.
Induced by a sharp-tip-enhanced electric field, periodical nanoassemblies can regulate the reactant flux on the electrode surface, efficiently optimizing the mass transfer kinetics in electrocatalysis. However, when the nanoscale building blocks in homoassemblies are arranged densely, it results in the overlap and reduction of the local electric field. Herein, we present a comprehensive kinetic heteromodel that simultaneously couples the sharp-tip-enhanced electric field and charge transfer electric field between different building blocks with any arrangement densities.
View Article and Find Full Text PDFACS Nano
January 2025
Department of Chemistry, Emory University, Atlanta, Georgia 30322, United States.
A major challenge in the field of synthetic motors relates to mimicking the precise, motion of biological motor proteins, which mediates processes such as cargo transport, cell locomotion, and cell division. To address this challenge, we developed a system to control the motion of DNA-based synthetic motors using light. DNA motors are composed of a central chassis particle modified with DNA "legs" that hybridize to RNA "fuel", and move upon enzymatic consumption of RNA.
View Article and Find Full Text PDFACS Appl Mater Interfaces
January 2025
Institute of Fluid Dynamics, Helmholtz-Zentrum Dresden-Rossendorf, 01328 Dresden, Germany.
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