Results 21 to 30 of about 12,017 (115)

Minimal continuum theories of structure formation in dense active fluids

, 2012
Self-sustained dynamical phases of living matter can exhibit remarkable similarities over a wide range of scales, from mesoscopic vortex structures in microbial suspensions and motility assays of biopolymers to turbulent large-scale instabilities in ...
Bär, Markus, Dunkel, Jörn, Goldstein, Raymond E., Heidenreich, Sebastian   +3 more
core   +1 more source

Antibody‐Empowered Nanomedicine for Precise Biomedical Applications

Advanced Science, EarlyView.
This review explores strategies for functionalizing nanoparticles with antibodies to construct antibody‐empowered nanomedicine. It discusses the classification of these nanomedicines based on antibody structure, with a specific focus on their biomedical applications in diagnostics, bioimaging, and therapeutics for various diseases.
Chen Chen, Xinglin Chen, Zhenhao Gao, Meng Sun, Yaozong Yu, Fang Lv, Qiujun Wang, Jinfeng Zhang   +7 more
wiley   +1 more source

The Burgers' equation with stochastic transport: shock formation, local and global existence of smooth solutions

, 2019
In this work, we examine the solution properties of the Burgers' equation with stochastic transport. First, we prove results on the formation of shocks in the stochastic equation and then obtain a stochastic Rankine-Hugoniot condition that the shocks ...
Alonso-Orán, Diego, de León, Aythami Bethencourt, Takao, So   +2 more
core   +1 more source

Toward Knowledge‐Guided AI for Inverse Design in Manufacturing: A Perspective on Domain, Physics, and Human–AI Synergy

Advanced Intelligent Discovery, EarlyView.
This perspective highlights how knowledge‐guided artificial intelligence can address key challenges in manufacturing inverse design, including high‐dimensional search spaces, limited data, and process constraints. It focused on three complementary pillars—expert‐guided problem definition, physics‐informed machine learning, and large language model ...
Hugon Lee, Hyeonbin Moon, Junhyeong Lee, Seunghwa Ryu   +3 more
wiley   +1 more source

A partial differential equation for the strictly quasiconvex envelope

, 2016
In a series of papers Barron, Goebel, and Jensen studied Partial Differential Equations (PDE)s for quasiconvex (QC) functions \cite{barron2012functions, barron2012quasiconvex,barron2013quasiconvex,barron2013uniqueness}. To overcome the lack of uniqueness
Abbasi, Bilal, Oberman, Adam M.
core   +1 more source

Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation

Advanced Physics Research, EarlyView.
Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley   +1 more source

A priori bounds for the generalised parabolic Anderson model

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We show a priori bounds for solutions to (∂t−Δ)u=σ(u)ξ$(\partial _t - \Delta) u = \sigma (u) \xi$ in finite volume in the framework of Hairer's Regularity Structures [Invent Math 198:269–504, 2014]. We assume σ∈Cb2(R)$\sigma \in C_b^2 (\mathbb {R})$ and that ξ$\xi$ is of negative Hölder regularity of order −1−κ$- 1 - \kappa$ where κ<κ¯$\kappa <
Ajay Chandra, Guilherme de Lima Feltes, Hendrik Weber   +2 more
wiley   +1 more source

Pricing Options in Incomplete Equity Markets via the Instantaneous Sharpe Ratio

, 2007
We use a continuous version of the standard deviation premium principle for pricing in incomplete equity markets by assuming that the investor issuing an unhedgeable derivative security requires compensation for this risk in the form of a pre-specified ...
A. Friedman, Erhan Bayraktar, G. Barles, H. Föllmer, H. Windcliff, H.L. Royden, H.U. Gerber, I. Karatzas, J. Cochrane, J.P. Fouque, M. Musiela, M. Schweizer, M.G. Crandall, R. Sircar, T. Björk, T. Zariphopoulou, Virginia Young, W. Walter   +17 more
core   +4 more sources

Interpretation of in vitro concentration‐response data for risk assessment and regulatory decision‐making: Report from the 2022 IWGT quantitative analysis expert working group meeting

Environmental and Molecular Mutagenesis, EarlyView.
Abstract Quantitative risk assessments of chemicals are routinely performed using in vivo data from rodents; however, there is growing recognition that non‐animal approaches can be human‐relevant alternatives. There is an urgent need to build confidence in non‐animal alternatives given the international support to reduce the use of animals in toxicity ...
Marc A. Beal, Guangchao Chen, Kerry L. Dearfield, Min Gi, Bhaskar Gollapudi, Robert H. Heflich, Katsuyoshi Horibata, Alexandra S. Long, David P. Lovell, Barbara L. Parsons, Stefan Pfuhler, John Wills, Andreas Zeller, George Johnson, Paul A. White   +14 more
wiley   +1 more source

Synchronization of extended systems from internal coherence

, 2009
A condition for the synchronizability of a pair of PDE systems, coupled through a finite set of variables, is commonly the existence of internal synchronization or internal coherence in each system separately.
G. S. Duane, G. S. Duane, Gregory S. Duane, R. Temam, S. Strogatz, S. Weinberg   +5 more
core   +1 more source