Results 81 to 90 of about 503 (210)

Smart Catheters for Diagnosis, Monitoring, and Therapy

Advanced Healthcare Materials, Volume 15, Issue 13, 3 April 2026.
This study presents a comprehensive review of smart catheters, an emerging class of medical devices that integrate embedded sensors, robotics, and communication systems, offering increased functionality and complexity to enable real‐time health monitoring, diagnostics, and treatment. Abstract This review explores smart catheters as an emerging class of
Azra Yaprak Tarman, Samiha Ahmed, Majed Othman Althumayri, Megan Guy, Darlenne Chavez Lugo, Frances S. Ligler, George T. Ligler, Rahmi Oklu, Hiroshi Kawahira, Michael J. McShane, Jun Kameoka, Jonathan Bova, Hatice Ceylan Koydemir   +12 more
wiley   +1 more source

Bi-space pullback attractors for closed processes

, 2012
nuloIn the description of the long-time behavior of solutions to nonautonomous differential equations the notion of a pullback attractor plays a similar role as the global attractor in autonomous dynamical systems. We present the theorem on the existence
Czaja, Radoslaw
core   +1 more source

Circle packings, renormalizations, and subdivision rules

Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract In this paper, we use iterations of skinning maps on Teichmüller spaces to study circle packings and develop a renormalization theory for circle packings whose nerves satisfy certain subdivision rules. We characterize when the skinning map has bounded image.
Yusheng Luo, Yongquan Zhang
wiley   +1 more source

Pullback Attractors for Stochastic Heat Equations in Materials with Memory [PDF]

, 2008
We study the asymptotic behaviour of a non-autonomous stochastic reaction-diffusion equation with memory. In fact, we prove the existence of a random pullback attractor for our stochastic parabolic PDE with memory. The randomness enters in our model as
I. Chueshov, Caraballo Garrido, Tomás, Chueshov, Igor D., Real Anguas, José, José Real, Tomás Caraballo   +5 more
core   +1 more source

Long Term Behavior for a Class of Stochastic Delay Lattice Systems in Xρ Space

Discrete Dynamics in Nature and Society, 2020
In this paper, we focus on the asymptotic behavior of solutions to stochastic delay lattice equations with additive noise and deterministic forcing. We first show the existence of a continuous random dynamical system for the equations.
Yijin Zhang, Zongbing Lin
doaj   +1 more source

Engineered Optical Fibers for Deep‐Tissue Applications

Advanced Optical Materials, Volume 14, Issue 10, 13 March 2026.
This review establishes a foundational framework for designing optical fibers for deep‐tissue medicine. It systematically links material innovations like polymers and hydrogels with structural paradigms to enable state‐of‐the‐art diagnostics, including endoscopy and biosensing, and targeted therapeutics, guiding future clinical translation.
Yuzhen Li, Siyang Zheng, Wenzhao Li, Kai Chen, Tianting Zhong, Chi Man Woo, Weiran Pang, Chuqi Yuan, Xiaozhou Xiao, Xianguang Yang, Long Jin, Xiang Qian, Qiyao Tan, Changyuan Yu, Liwei Liu, Junle Qu, Puxiang Lai   +16 more
wiley   +1 more source

Pullback attractors for nonclassical diffusion delay equations on unbounded domains with non-autonomous deterministic and stochastic forcing terms

Electronic Journal of Differential Equations, 2016
In this article, we prove the existence of pullback attractor in $C([-h,0];H^1(\mathbb{R}^N))$ for a stochastic nonclassical diffusion equations on unbounded domains with non-autonomous deterministic and stochastic forcing terms, and the pullback ...
Fang-Hong Zhang, Wei Han
doaj  

Equivariant toric geometry and Euler–Maclaurin formulae

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson   +3 more
wiley   +1 more source

Pullback attractors for a class of extremal solutions of the 3D Navier–Stokes system

, 2011
In this paper we construct a dynamical process (in general, multivalued) generated by the set of solutions of an optimal control problem for the three-dimensional Navier–Stokes system.
J. Valero, Kapustyan, O.V., P.O. Kasyanov, O.V. Kapustyan, Kasyanov, P.O., Valero, J.   +5 more
core   +1 more source

Random Attractors of Stochastic Three-Component Reversible Gray-Scott System on Unbounded Domains

Abstract and Applied Analysis, 2012
The existence of a pullback random attractor is established for a stochastic three-component reversible Gray-Scott system on unbounded domains. The Gray-Scott system is recast as a random dynamical system and asymptotic compactness which is illustrated ...
Anhui Gu
doaj   +1 more source