Results 71 to 80 of about 32,448 (189)

Predator–prey pattern formation driven by population diffusion based on Moore neighborhood structure

Advances in Difference Equations, 2019
Diffusion-driven instability is a basic nonlinear mechanism for pattern formation. Therefore, the way of population diffusion may play a determinative role in the spatiotemporal dynamics of biological systems. In this research, we launch an investigation
Tousheng Huang, Huayong Zhang, Zhengran Hu, Ge Pan, Shengnan Ma, Xiumin Zhang, Zichun Gao   +6 more
doaj   +1 more source

Dispersive Stabilization [PDF]

, 2009
Ill posed linear and nonlinear initial value problems may be stabilized, that it converted to to well posed initial value problems, by the addition of purely nonscalar linear dispersive terms. This is a stability analog of the Turing instability.
Metivier, Guy, Rauch, Jeffrey
core   +5 more sources

Who Gives Feedback Matters: Student Biases Towards Human and AI‐Generated Formative Feedback

Journal of Computer Assisted Learning, Volume 42, Issue 1, February 2026.
ABSTRACT Background Feedback is essential for learning, helping individuals understand and improve their performance. However, providing timely, personalised feedback in higher education is challenging. Generative AI offers a scalable solution, yet little is known about students' biases towards AI‐generated feedback.
Tanya Nazaretsky, Paola Mejia‐Domenzain, Vinitra Swamy, Jibril Frej, Tanja Käser   +4 more
wiley   +1 more source

Mesa-type patterns in the one-dimensional Brusselator and their stability

, 2005
The Brusselator is a generic reaction-diffusion model for a tri-molecular chemical reaction. We consider the case when the input and output reactions are slow.
Alikakos, Alikakos, Auchmuty, Bard, Berestycki, Chakravarti, Chen, De Wit, De Wit, De Wit, Doelman, Doelman, Erneux, Erneux, Goldstein, Iron, J. Wei, Muratov, Muratov, Muratov, Nicolis, Nishiura, Nishiura, Nishiura, Nishiura, Nishiura, Osipov, Peña, Prigogine, Ren, Reyna, Sun, T. Erneux, T. Kolokolnikov, Turing, Tyson, Ward, Yang, Yu   +38 more
core   +1 more source

A Biologically Informed Vision‐Guided Framework for Interpretable T Cell Receptor–Epitope Binding Prediction

Advanced Science, Volume 13, Issue 4, 19 January 2026.
Integrating hierarchical physicochemical features via a bio‐inspired design, the DAISY framework robustly predicts T‐cell receptor binding, significantly outperforming state‐of‐the‐art models on unseen epitopes. It uniquely offers visual interpretability via Score‐CAM visualizations and profound clinical relevance, correlating with T‐cell expansion ...
Yajing Yuan, Junwei Chen, Yufang Zhang, Yitian Fang, Zhongcheng Fang, Yanyi Chu, Jiayi Li, Chen Zhang, Yuzhe Li, Dongqing Wei   +9 more
wiley   +1 more source

Wavelength of a Turing-type mechanism regulates the morphogenesis of meshwork patterns

Scientific Reports, 2021
The meshwork pattern is a significant pattern in the development of biological tissues and organs. It is necessary to explore the mathematical mechanism of meshwork pattern formation.
Shan Guo, Ming-zhu Sun, Xin Zhao
doaj   +1 more source

Dynamic analysis of a Leslie–Gower-type predator–prey system with the fear effect and ratio-dependent Holling III functional response

Nonlinear Analysis, 2022
In this paper, we extend a Leslie–Gower-type predator–prey system with ratio-dependent Holling III functional response considering the cost of antipredator defence due to fear.
Hongyu Chen, Chunrui Zhang
doaj   +1 more source

Turing instability in reaction–diffusion models on complex networks [PDF]

Physica A: Statistical Mechanics and its Applications, 2016
In this paper, the Turing instability in reaction-diffusion models defined on complex networks is studied. Here, we focus on three types of models which generate complex networks, i.e. the Erd s-R nyi, the Watts-Strogatz, and the threshold network models.
Ide, Yusuke, Izuhara, Hirofumi, Machida, Takuya   +2 more
openaire   +3 more sources

Boosting Nanofiltration Membrane Selectivity via Amine‐Polymer Additive Engineering for Efficient Lithium Extraction From Brine

Advanced Science, Volume 13, Issue 3, 14 January 2026.
A diffusion‐controlled interfacial polymerization strategy incorporating poly(allylamine) (PAA) into piperazine (PIP) solution enables precise tuning of amine monomer diffusion and polyamide (PA) network formation with trimesoyl chloride (TMC). The resulting nanofiltration membranes exhibit crumpled morphology, appropriate surface charge, and enhanced ...
Shaofan Duan, Shuai Jiang, Ping Xu, Zhan Li, Pengfei Zhang, Yanyan Liu, Atsushi Matsuoka, Yuqing Lin, Jie Shen, Kecheng Guan, Tomohisa Yoshioka, Hideto Matsuyama   +11 more
wiley   +1 more source

Persistence and Turing instability in a cross-diffusive predator–prey system with generalist predator

Advances in Difference Equations, 2018
In this paper, we propose and investigate persistence and Turing instability of a cross-diffusion predator–prey system with generalist predator.
Baojun Miao
doaj   +1 more source