Results 111 to 120 of about 761,179 (312)

Long Time Behavior of First Order Mean Field Games on Euclidean Space

, 2018
The aim of this paper is to study the long time behavior of solutions to deterministic mean field games systems on Euclidean space. This problem was addressed on the torus ${\mathbb T}^n$ in [P.
Cannarsa, Piermarco, Cheng, Wei, Mendico, Cristian, Wang, Kaizhi   +3 more
core   +1 more source

Peptide Sequencing With Single Acid Resolution Using a Sub‐Nanometer Diameter Pore

Advanced Functional Materials, EarlyView.
To sequence a single molecule of Aβ1−42–sodium dodecyl sulfate (SDS), the aggregate is forced through a sub‐nanopore 0.4 nm in diameter spanning a 4.0 nm thick membrane. The figure is a visual molecular dynamics (VMD) snapshot depicting the translocation of Aβ1−42–SDS through the pore; only the peptide, the SDS, the Na+ (yellow/green) and Cl− (cyan ...
Apurba Paul, Archith Rayabharam, Lisa Almonte, Eveline Rigo, Joshy Joseph, Ashutosh Kumar, Zhuxin Dong, Narayana Aluru, Gregory Timp   +8 more
wiley   +1 more source

Scalable Learning for Spatiotemporal Mean Field Games Using Physics-Informed Neural Operator

Mathematics
This paper proposes a scalable learning framework to solve a system of coupled forward–backward partial differential equations (PDEs) arising from mean field games (MFGs).
Shuo Liu, Xu Chen, Xuan Di
doaj   +1 more source

Region‐to‐Region Unidirectional Connection In Vitro Brain Model for Studying Directional Propagation of Neuropathologies

Advanced Functional Materials, EarlyView.
A unidirectional cerebral organoid–organoid neural circuit is established using a microfluidic platform, enabling controlled directional propagation of electrical signals, neuroinflammatory cues, and neurodegenerative disease–related proteins between spatially separated organoids.
Kyeong Seob Hwang, Hui‐Wen Liu, Hyogeun Shin, Hyun Wook Kang, Minjin Kang, Jongbaeg Kim, Il‐Joo Cho, Nakwon Choi, Seok Chung, Hong Nam Kim   +9 more
wiley   +1 more source

Self-organized social distancing during epidemics when the force of infection depends on susceptible and infectious behavior

Mathematical Biosciences and Engineering
During epidemics, individuals may adjust their social behavior in response to the threat. This may affect the course of the epidemic, and, in turn, again modify people's behavior.
Simon K. Schnyder, John J. Molina, Joel C. Miller, Ryoichi Yamamoto, Tetsuya J. Kobayashi, Matthew S. Turner   +5 more
doaj   +1 more source

Upconversion Nanoparticles Embedded Photonic Contact Lens for Transepithelial Corneal Crosslinking Using Hyaluronate – Riboflavin Conjugate

Advanced Functional Materials, EarlyView.
A minimally invasive, transepithelial corneal cross‐linking (TE‐CXL) approach is presented using upconversion nanoparticles (UCNPs)‐loaded contact lenses (UCLs), after topical delivery of hyaluronate–riboflavin conjugates. The NIR‐to‐UV/blue light conversion by UCNPs in a UCL can activate riboflavin for TE‐CXL, resulting in the biomechanical strength ...
Gibum Lee, Inhoo Choi, Anara Molkenova, Yengwoo Son, Seungmin Yang, Mina Kwon, Tae‐Im Kim, Ki Su Kim, Sei Kwang Hahn   +8 more
wiley   +1 more source

C^1;1-smoothness of constrained solutions in the calculus of variations with application to mean field games

Mathematics in Engineering, 2018
We derive necessary optimality conditions for minimizers of regular functionals in the calculus of variations under smooth state constraints. In the literature, this classical problem is widely investigated.
Piermarco Cannarsa, Rossana Capuani, Pierre Cardaliaguet   +2 more
doaj   +1 more source

Mean Field Games for Diel Vertical Migration with Diffusion. [PDF]

Bull Math Biol, 2023
Mazuryn M, Thygesen UH.
europepmc   +1 more source

A stability property in mean field type differential games [PDF]

, 2021
Yurii Averboukh
openalex   +1 more source

Mean Field Games: Numerical Methods [PDF]

, 2009
Mean field type models describing the limiting behavior of stochastic differential game problems, as the number of players tends to +∞, have recently been introduced by J-M. Lasry and P-L. Lions.
Achdou, Yves, Capuzzo-Dolcetta, Italo
core   +2 more sources