Results 51 to 60 of about 4,718 (211)

Structure-Sensitive Mathematics IV: Omega-Topology and Omega-Geometry — Structural Proximity, Geodesics, and Geometric Consistency

This work presents the fourth paper of the Structure-Sensitive Mathematics (SSM) research series, extending the Omega framework into topology, geometry, and structural consistency analysis. Building upon Omega-sensitive function spaces, Omega-Banach/Hilbert structures, and Omega-operator theory developed in Parts I–III, this study investigates how ...
openaire   +2 more sources

The Interplay of Curvature, Geometry, and Topology Shapes Tissue Organisation in Epithelial Shells

Advanced Science, EarlyView.
Purely geometric 3D Voronoi models predict the organisation of epithelial shells. The interplay of curvature, geometry, and topology enriches the number of pentagons in shells with lower number of cells. Small MDCK cysts and Mouse embryos match the top polygonal configurations in a compactness‐based ranking derived from the Voronoi model. In conclusion,
Laura Morato, Jesús A. Andrés‐San Román, Juan Garrido‐García, Carmen Gordillo‐Vázquez, Ana M. Palacios, Elisabeth Lidueña‐Fernández, Katie McDole, Pedro Gómez‐Gálvez, Valentina Annese, Luis M. Escudero   +9 more
wiley   +1 more source

Treatise on Distinction and the Triangle: A Genetic Reconstruction of Mathematics From a single act of distinction — to numbers, geometry, analysis and topology through the geometric quantum △₁ₓ₁

This work proposes a genetic method for grounding mathematics: all key structures — from natural numbers to topology and algebra — are derived from a single pre-mathematical act of distinction and the principle of minimal complexity. It is shown that this path necessarily yields the right isosceles triangle △₁ₓ₁ (legs 1, hypotenuse √2), which then ...
Petrov, Alexey (KAMAZ), email: infinium.science@mail.ru   +1 more
openaire   +2 more sources

Seeing the Chemistry of Biomolecular Condensates: In Situ Mapping of Composition and Water Content

Advanced Science, EarlyView.
Raman hyperspectral imaging combined with spectral phasor analysis enables a label‐free quantification of proteins, polymers and water density within individual biomolecular condensates. By transforming complex vibrational fingerprints into intuitive compositional maps, the approach reveals the high water content and structural heterogeneity of ...
E. Sabri, A. Mangiarotti, C. N. Z. Schmitt, R. Dimova   +3 more
wiley   +1 more source

Programmable Information Processing With Reconfigurable Self‐Contact Variable Stiffness Mechanical Metamaterial

Advanced Science, EarlyView.
Reconfigurable self‐contact variable stiffness metamaterials based on shape memory polymers enable programmable stiffness switching. Static arrays store and encrypt information with immunity to electromagnetic interference, while asymmetric stiffness converts symmetric vibration into directional matter transport.
Huadong Qin, Wenyu Zhu, Xin Wang, Cheng Shen, Li Cheng, Tian Jian Lu, Terence Xiaoteng Liu, Han Meng   +7 more
wiley   +1 more source

Structural Basis of Lymphangiogenic Receptor VEGFR‐3 Activation Mediated by Distinctive Clustering of the Ligand–Receptor Complex

Advanced Science, EarlyView.
VEGF‐C and its receptor VEGFR‐3 are critical for lymphangiogenesis. Cryo‐EM structures of the VEGFR‐3/VEGF‐C ectodomain complex reveal a canonical 2:2 ligand–receptor hetero‐tetramer that further assembles into higher‐order clusters beyond simple receptor dimerization.
Ryeongeun Cho, Jinsook Ahn, Jimin Yang, Dong Sun Lee, Gahi Hong, Sangkyu Lee, Ho Min Kim   +6 more
wiley   +1 more source

Nonlinear Quantum Effects Drive Grotthuss Proton Conduction in Structured Electrolytes Based on Deep Eutectic Solvents

Advanced Science, EarlyView.
We demonstrate that the inverse relationship between viscosity and conductivity in structured electrolytes can be circumvented by leveraging their hydrogen bonding networks for Grotthuss proton transport. Using a mixture of imidazole and levulinic acid, we show that the existence of extended hydrogen‐bonded chains that can rapidly reorient result in ...
Benworth B. Hansen, Michael S. Chen, Giselle de A. L. e Souza, Kaylie Glynn, Alan Robledo, Emilia Pelegano‐Titmuss, Katherine Hightower, Miguel Muñoz, Rathiesh Pandian, Clemens Burda, Aikaterini Sanida, Mark Dadmun, Burcu E. Gurkan, Steve G. Greenbaum, Mark E. Tuckerman, Joshua R. Sangoro   +15 more
wiley   +1 more source

Smart Bioinks for 4D Bioprinting: Requirements, Design, and Applications

Advanced Science, EarlyView.
Smart bioinks empower 4D‐bioprinted constructs to dynamically adapt and remodel in response to stimuli, effectively biomimicking native tissues. Artificial Intelligence (AI) and Machine Learning (ML) play a guiding role in their rational design by optimizing relevant properties.
Shangsi Chen, Jiahui Lai, Qiongjiao Zeng, Liangbin Zhou, Boguang Yang, Bin Zhang, Min Wang, Jiajing Zhou, Kieran Lau, Khoon S. Lim, Zhong Alan Li, Rocky S. Tuan   +11 more
wiley   +1 more source

Solvent‐Free Synthesis of Ultrabright Carbon Dots With Near‐Unity Quantum Yield for High‐Performance Light‐Emitting Diodes

Advanced Science, EarlyView.
A rational, solvent‐free synthesis utilizing 2,6‐diaminonaphthalene produces ultrabright green‐emissive carbon dots. Regulated by a self‐limiting oxidative capping mechanism, excitons undergo ultrafast intra‐particle funneling from the nitrogen‐doped carbon core to emissive surface traps.
Hyeonjin Park, Su Hwan Lee, Sejeong Seo, Soye Park, Soo min Ji, Hyunda Jo, Sehyeon Park, Young‐Hoon Kim, Woosung Kwon   +8 more
wiley   +1 more source

Beyond‐Classical Ferroelectric Metamaterials: 3D‐Printed Planar Lattices With Programmable Electro–Thermo–Mechanical Coupling

Advanced Science, EarlyView.
Planar ferroelectric lattices with rationally‐tailored topology and polarization achieve programmable piezoelectric and pyroelectric properties. Analytical modeling, homogenization, and experiments collectively demonstrate enhanced and tunable longitudinal, transverse, and shear piezoelectric responses, together with substantially improved ...
Jiahao Shi, Kang Ju, Haoyu Chen, Valerie Orsat, Agus P. Sasmito, Ali Ahmadi, Abdolhamid Akbarzadeh   +6 more
wiley   +1 more source