Results 81 to 90 of about 5,421,281 (277)

Digit patterning during limb development as a result of the BMP-receptor interaction [PDF]

, 2012
Turing models have been proposed to explain the emergence of digits during limb development. However, so far the molecular components that would give rise to Turing patterns are elusive.
Badugu, Amarendra, Germann, Philipp, Iber, Dagmar, Kraemer, Conradin, Menshykau, Denis   +4 more
core   +2 more sources

Pattern Formation in Non‐Equilibrium Architected Materials

Advanced Materials Technologies, EarlyView.
This article demonstrates an artificial mechanical system ‐ a robotic metamaterial ‐ as an accessible and versatile platform within which to explore and prescribe the reaction‐diffusion driven pattern formation hitherto associated with comparatively less accessible and versatile non‐equilibrium biological and chemical systems.
Vinod Ramakrishnan, Michael J. Frazier
wiley   +1 more source

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

Steady-state bifurcation of FHN-type oscillator on a square domain

Nonlinear Analysis, 2023
The Turing patterns of reaction-diffusion equations defined over a square region are more complex because of the D4-symmetry of the spatial region. This leads to the occurrence of multiple equivariant Turing bifurcations.
Chunrui Zhang, Xiaoxiao Liu, Baodong Zheng   +2 more
doaj   +1 more source

Turing Instability in a Boundary-fed System [PDF]

, 1998
The formation of localized structures in the chlorine dioxide-idodine-malonic acid (CDIMA) reaction-diffusion system is investigated numerically using a realistic model of this system.
A. M. Turing, B. T. Smith, E. Dulos, G. Dewel, G. Dewel, G. Dewel, I. Lengyel, I. Lengyel, I. Lengyel, I. Lengyel, I. Lengyel, I. Lengyel, J. D. Murray, J. E. Pearson, J. F. Auchmuty, J. J. Perraud, L. Kramer, M. C. Cross, M. C. Cross, O. Jensen, O. Jensen, P. De Kepper, Q. Ouyang, Q. Ouyang, Q. Ouyang, S. Kadar, S. Setayeshgar, V. Castets, V. Dufiet, W. H. Press   +29 more
core   +3 more sources

Pattern formation (II): The Turing Instability [PDF]

Proceedings of the American Mathematical Society, 2007
We consider the classical Turing instability in a reaction-diffusion system as the secend part of our study on pattern formation. We prove that nonlinear dynamics of a general perturbation of the Turing instability is determined by the finite number of linear growing modes over a time scale of ln ⁡ 1 δ
Guo, Y, Hwang, HJ
openaire   +3 more sources

Information Transmission Strategies for Self‐Organized Robotic Aggregation

Advanced Robotics Research, EarlyView.
In this review, we discuss how information transmission influences the neighbor‐based self‐organized aggregation of swarm robots. We focus specifically on local interactions regarding information transfer and categorize previous studies based on the functions of the information exchanged.
Shu Leng, Zihan Li, Yifeng Shao, Jinhao Liu, Li Yu, Shuguang Li   +5 more
wiley   +1 more source

Turing pattern dynamics in a fractional-diffusion oregonator model under PD control

Nonlinear Analysis
In this paper, fractional-order diffusion and proportional-derivative (PD) control are introduced in oregonator model, and the Turing pattern dynamics is investigated for the first time.
Hongliang Li, Yi Yao, Min Xiao, Zhen Wang, Leszek Rutkowski   +4 more
doaj   +1 more source

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

Scaling and regeneration of self-organized patterns [PDF]

, 2015
Biological patterns generated during development and regeneration often scale with organism size. Some organisms, e.g., flatworms, can regenerate a rescaled body plan from tissue fragments of varying sizes.
Amigo, Manuel Beirán, Friedrich, Benjamin M., Jülicher, Frank, Rink, Jochen C., Stückemann, Tom, Werner, Steffen   +5 more
core   +2 more sources