Results 81 to 90 of about 116,050 (251)

Cross-diffusion induced Turing and non-Turing patterns in Rosenzweig–MacArthur model

Letters in Biomathematics, 2019
Pattern formation is widely studied in spatio-temporal prey– predator models with only self-diffusion terms. Models with cross-diffusion, besides self-diffusion, take care of the situation in which presence, absence, abundance or scarcity of one species ...
Nayana Mukherjee, S. Ghorai, Malay Banerjee   +2 more
doaj   +1 more source

Turing patterns in parabolic systems of conservation laws and numerically observed stability of periodic waves

, 2017
Turing patterns on unbounded domains have been widely studied in systems of reaction-diffusion equations. However, up to now, they have not been studied for systems of conservation laws.
Barker, Blake Barker, Curtis, Deconinck, Deconinck, Eckhaus, Johnson, Johnson, Johnson, Johnson, Kawashima, Kevin Zumbrun, Matthews, Mielke, Mielke, Oh, Oh, Oh, Pogan, Schneider, Serre, Soyeun Jung, Turing   +22 more
core   +1 more source

Conformal Reconfigurable Intelligent Surfaces: A Cylindrical Geometry Perspective

Advanced Electronic Materials, EarlyView.
Cylindrical reconfigurable intelligent surfaces are explored for low‐complexity beam steering using one‐bit meta‐atoms. A multi‐level modeling approach, including optimization‐based synthesis, demonstrates that even minimal hardware can support directive scattering.
Filippo Pepe, Ivan Iudice, Giuseppe Castaldi, Marco Di Renzo, Vincenzo Galdi   +4 more
wiley   +1 more source

DIMENSIONALITY EFFECTS IN TURING PATTERN FORMATION [PDF]

International Journal of Modern Physics B, 2003
The problem of morphogenesis and Turing instability are revisited from the point of view of dimensionality effects. First the linear analysis of a generic Turing model is elaborated to the case of multiple stationary states, which may lead the system to bistability.
Leppanen, Teemu, Karttunen, Mikko, Kaski, Kimmo, Barrio, Rafael A.   +3 more
openaire   +2 more sources

Artificial Intelligence for Bone: Theory, Methods, and Applications

Advanced Intelligent Discovery, EarlyView.
Advances in artificial intelligence (AI) offer the potential to improve bone research. The current review explores the contributions of AI to pathological study, biomarker discovery, drug design, and clinical diagnosis and prognosis of bone diseases. We envision that AI‐driven methodologies will enable identifying novel targets for drugs discovery. The
Dongfeng Yuan, Haicang Zhang, Liping Tong, Di Chen   +3 more
wiley   +1 more source

Turing pattern formation in the Brusselator system with nonlinear diffusion [PDF]

, 2013
In this work we investigate the effect of density dependent nonlinear diffusion on pattern formation in the Brusselator system. Through linear stability analysis of the basic solution we determine the Turing and the oscillatory instability boundaries.
Gambino, G., Lombardo, M. C., Sammartino, M., Sciacca, V.   +3 more
core   +1 more source

Influence of survival, promotion, and growth on pattern formation in zebrafish skin

Scientific Reports, 2021
The coloring of zebrafish skin is often used as a model system to study biological pattern formation. However, the small number and lack of movement of chromatophores defies traditional Turing-type pattern generating mechanisms.
Christopher Konow, Ziyao Li, Samantha Shepherd, Domenico Bullara, Irving R. Epstein   +4 more
doaj   +1 more source

The Challenge of Handling Structured Missingness in Integrated Data Sources

Advanced Intelligent Discovery, EarlyView.
As data integration becomes ever more prevalent, a new research question that emerges is how to handle missing values that will inevitably arise in these large‐scale integrated databases? This missingness can be described as structured missingness, encompassing scenarios involving multivariate missingness mechanisms and deterministic, nonrandom ...
James Jackson, Marius Hofert, Eleni‐Rosalina Andrinopoulou, Niels Hagenbuch, Sarah McGough, Chris Harbron, Robin Mitra   +6 more
wiley   +1 more source

Pattern formation in finite size non-equilibrium systems and models of morphogenesis [PDF]

, 1994
Two canonical pattern forming systems, the Rayleigh-Benard convection and the Turing mechanism for biological pattern formation, are compared. The similarity and fundamental differences in the mathematical structure of the two systems are addressed, with
Chen, Yih-Yuh, Cross, M. C.
core   +1 more source

Turing Patterning Using Gene Circuits with Gas-Induced Degradation of Quorum Sensing Molecules. [PDF]

PLoS ONE, 2016
The Turing instability was proposed more than six decades ago as a mechanism leading to spatial patterning, but it has yet to be exploited in a synthetic biology setting.
Bartłomiej Borek, Jeff Hasty, Lev Tsimring   +2 more
doaj   +1 more source