Results 71 to 80 of about 14,387 (264)

Patterning the Void: Combining L‐Systems with Archimedean Tessellations as a Perspective for Tissue Engineering Scaffolds

Advanced Functional Materials, EarlyView.
This study introduces a novel multi‐scale scaffold design using L‐fractals arranged in Archimedean tessellations for tissue regeneration. Despite similar porosity, tiles display vastly different tensile responses (1–100 MPa) and deformation modes. In vitro experiments with hMSCs show geometry‐dependent growth and activity. Over 55 000 tile combinations
Maria Kalogeropoulou, Kenny A. van Kampen, Pierpaolo Fucile, Carlos Mota, Lorenzo Moroni   +4 more
wiley   +1 more source

Effects of fractional derivative and Wiener process on approximate boundary controllability of differential inclusion

Boundary Value Problems
One of the core concepts of contemporary control theory is the idea that a dynamical system can be controlled. Several abstract settings have been developed to describe the distributed control systems in a domain in which the control is acted through the
Noorah Mshary, Hamdy M. Ahmed, Ahmed S. Ghanem   +2 more
doaj   +1 more source

Stochastic Approximations and Differential Inclusions [PDF]

L'approche en termes de systèmes dynamiques de l'approximation stochastique est étendue au cas ou l'équation différentielle moyenne est remplacée par une inclusion différentielle. Le théorème de Benaim et Hirsch sur l'ensemble limite est étendu a ce cas.
Josef Hofbauer, Michel Benaïm, Sylvain Sorin   +2 more
core  

A second order SDE for the Langevin process reflected at a completely inelastic boundary [PDF]

, 2006
It was shown recently that a Langevin process can be reflected at an energy absorbing boundary. Here, we establish that the law of this reflecting process can be characterized as the unique weak solution to a certain second order stochastic differential ...
Bertoin, Jean
core   +2 more sources

Stochastic Langevin Differential Inclusions with Applications to Machine Learning

, 2022
Stochastic differential equations of Langevin-diffusion form have received significant attention, thanks to their foundational role in both Bayesian sampling algorithms and optimization in machine learning. In the latter, they serve as a conceptual model of the stochastic gradient flow in training over-parameterized models.
Difonzo, Fabio V., Kungurtsev, Vyacheslav, Marecek, Jakub   +2 more
openaire   +2 more sources

CRISPR/Cas9‐Assisted Microrobots for Fast and Ultrasensitive “On‐The‐Fly” Next‐Generation DNA Detection

Advanced Functional Materials, EarlyView.
This work presents self‐propelled CRISPR/Cas9‐functionalized Au–MRs for rapid, amplification‐free, “on‐the‐fly” DNA detection. By harnessing motion‐assisted signal recovery, the platform achieved the limit of detection in low fM DNA concentrations, enabling detection across a wide dynamic range within only 5 min, which is significantly faster than any ...
Jyoti, Petr Michálek, Zbyněk Heger, Martin Pumera   +3 more
wiley   +1 more source

Multi-valued, singular stochastic evolution inclusions

, 2013
We provide an abstract variational existence and uniqueness result for multi-valued, monotone, non-coercive stochastic evolution inclusions in Hilbert spaces with general additive and Wiener multiplicative noise.
Attouch, Attouch, Barbu, Barbu, Barbu, Barbu, Barbu, Barbu, Barbu, Barbu, Barbu, Barbu, Barbu, Barbu, Barbu, Bensoussan, Berryman, Beyn, Bian, Borwein, Bruck, Brézis, Chang, Ciotir, Ciotir, Ciotir, Crauel, Da Prato, Es-Sarhir, Es-Sarhir, Fukushima, Gess, Gess, Giga, Gyöngy, Hu, Hu, Kawohl, Kim, Komorowski, Krylov, Ladyženskaja, Lichnewsky, Liu, Liu, Liu, Maligranda, Moser, Nagai, Papageorgiou, Papageorgiou, Pardoux, Parthasarathy, Peszat, Phelps, Pratt, Prévôt, Rao, Reed, Ren, Rockafellar, Rudin, Röckner, Răşcanu, Showalter, Stephan, Vázquez, Wang, Wang, Wang, Zhou, Zygmunt   +71 more
core   +1 more source

Complex Cryptographic and User‐Centric Physically Unclonable Functions Enabled by Strain‐Sensitive Nanocrystals via Selective Ligand Exchange

Advanced Functional Materials, EarlyView.
This study investigates electromechanical PUFs that improve on traditional electric PUFs. The electron transport materials are coated randomly through selective ligand exchange. It produces multiple keys and a key with motion dependent on percolation and strain, and approaches almost ideal inter‐ and intra‐hamming distances.
Seungshin Lim, Hanseok Seo, Taesung Park, Byung Ku Jung, Junhyeok Park, Young Kyun Choi, Dae Yang Oh, Soong Ju Oh   +7 more
wiley   +1 more source

Stochastic Approximations and Differential Inclusions

, 2003
The dynamical systems approach to stochastic approximation is generalized to the case where the mean differential equation is replaced by a differential inclusion. The limit set theorem of Bena\"{\i}m and Hirsch is extended to this situation.
Benaïm, Michel, Hofbauer, Josef, Sorin, Sylvain   +2 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