Results 81 to 90 of about 854,343 (249)

Design of Optical Transducer for Recognition of Biomolecular Interactions between Bacterial Lipopolysaccharides and Amino Acids

Advanced Science, EarlyView.
A deep comprehension of biomolecular phenomena at interfaces is significant with their fundamental and practical importance. Our experimental and theoretical investigations reveal that specific amino acids (glutamic acid and aspartic acid) exhibit an orientational coupling with liquid crystals, which can recognize and optically report the interfacial ...
Yena Choi, Sangmin Lee, Jin‐Kang Choi, Hyunsoo Han, Yeongseon Choi, Jun‐Hyung Im, Hyein Kim, Sangmin Jeon, Minjae Lee, Chang Yun Son, Young‐Ki Kim   +10 more
wiley   +1 more source

Cells Dynamically Adapt Their Nuclear Volumes and Proliferation Rates During Single to Multicellular Transitions

Advanced Science, EarlyView.
It is currently not well understood how cells regulate basic properties, e.g., volume and mechanics within dense multicellular environments like tumors. Here, we show that different cell types of cancer and also normal cells largely decrease their nuclear and cellular volumes in emerging cell clusters and that this is partly driven by cell cycle shifts.
Vaibhav Mahajan, Keshav Gajendra Babu, Markus Mukenhirn, Antje Garside, Vinita Ajit Kini, Trishla Adhikari, Timon Beck, Byung Ho Lee, Kyoohyun Kim, Carsten Werner, Raimund Schlüßler, Alf Honigmann, Sebastian Aland, Anna Verena Taubenberger   +13 more
wiley   +1 more source

On a fixed point theorem of Pathak

International Journal of Mathematics and Mathematical Sciences, 1991
It is shown that the continuity of the mapping in Pathak's fixed point theorem for normed spaces is not necessary.
Brian Fisher
doaj   +1 more source

Functional Disorder at the Neural Interface: How Disordered Nanostructures Promote Proper Growth and Differentiation in In Vitro Neural Cultures

Advanced Science, EarlyView.
This work provides a practical guide for neuroengineers to design advanced neural interfaces, embracing and tailoring the concept of functional disorder. By bridging 2D and 3D in vitro models, this work highlights how non‐periodic, spatially heterogeneous, multiscale nanotopography can enable more physiologically relevant platforms for studying neural ...
F. Maita, E. Palmieri, I. Lucarini, L. Montaina, L. Maiolo   +4 more
wiley   +1 more source

Nash equilibrium existence for some discontinuous games [PDF]

Answering to an open question of Herings et al. (see [3]), one extends their fixed point theorem to mappings defined on convex compact subset of Rn, and not only polytopes.
Philippe Bich
core  

Generalized Caristi's Fixed Point Theorems [PDF]

Fixed Point Theory and Applications, 2009
AbstractWe present generalized versions of Caristi's fixed point theorem for multivalued maps. Our results either improve or generalize the corresponding generalized Caristi's fixed point theorems due to Bae (2003), Suzuki (2005), Khamsi (2008), and others.
openaire   +2 more sources

Fundamental Challenges, Physical Implementations, and Integration Strategies for Ising Machines in Large‐Scale Optimization Tasks

Advanced Electronic Materials, EarlyView.
Ising machines are emerging as specialized hardware solvers for computationally hard optimization problems. This review examines five major platforms—digital CMOS, analog CMOS, emerging devices, coherent optics, and quantum systems—highlighting physics‐rooted advantages and shared bottlenecks in scalability and connectivity.
Hyunjun Lee, Joon Pyo Kim, Sanghyeon Kim
wiley   +1 more source

A Noncontractive Fixed Point Theorem [PDF]

Proceedings of the American Mathematical Society, 1970
The sequence Txn so constructed contains a subsequence TXnk which converges to some x X and which, by Ascoli's theorem [3], is equicontinuous. It follows in turn from (1) that the sequence Xnk is equicontinuous. To complete the proof it suffices to show xn,(t)-x(t) in B.
openaire   +1 more source

Prediction of Structural Stability of Layered Oxide Cathode Materials: Combination of Machine Learning and Ab Initio Thermodynamics

Advanced Energy Materials, EarlyView.
In this work, we developed a phase‐stability predictor by combining machine learning and ab initio thermodynamics approaches, and identified the key factors determining the favorable phase for a given composition. Specifically, a lower TM ionic potential, higher Na content, and higher mixing entropy favor the O3 phase.
Liang‐Ting Wu, Milica Zdravković, Dijana Milosavljević, Konstantin Köster, Olivier Guillon, Jyh‐Chiang Jiang, Payam Kaghazchi   +6 more
wiley   +1 more source

Nadler’s fixed point theorem in ν-generalized metric spaces

Fixed Point Theory and Applications, 2017
We extend Nadler’s fixed point theorem to ν-generalized metric spaces. Through the proof of the above extension, we understand more deeply the mathematical structure of a ν-generalized metric space.
Tomonari Suzuki
doaj   +1 more source