Results 61 to 70 of about 2,816,546 (254)
Pattern formation of a Schnakenberg-type plant root hair initiation model
Electronic Journal of Qualitative Theory of Differential Equations, 2018 This paper concentrates on the diversity of patterns in a quite general Schnakenberg-type model. We discuss existence and nonexistence of nonconstant positive steady state solutions as well as their bounds.
Yanqiu Li, Juncheng Jiang
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Nonlinear Analysis, 2021 In this paper, we consider the dynamics of delayed Gierer–Meinhardt system, which is used as a classic example to explain the mechanism of pattern formation. The conditions for the occurrence of Turing, Hopf and Turing–Hopf bifurcation are established by
Shuangrui Zhao +2 more
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Turing Patterns and Biological Explanation [PDF]
Disputatio, 2017 AbstractTuring patterns are a class of minimal mathematical models that have been used to discover and conceptualize certain abstract features of early biological development. This paper examines a range of these minimal models in order to articulate and elaborate a philosophical analysis of their epistemic uses.
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Advanced Engineering Materials, EarlyView.This article explores the transformative potential of symbolic artificial intelligence (AI) in the field of materials science, particularly in leveraging experimental data. The article presents several symbolic AI models and discusses their applications in materials science.
Ahmed Amrani +7 more
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Concentric ring patterns beyond Turing instability
Physical Review Research, 2023 Various out-of-equilibrium physical systems exhibit concentric ring patterns. However, these patterns are expected to be unstable due to the interaction of spatial modes.
M. G. Clerc +3 more
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Turing patterns with pentagonal symmetry
Physical Review E, 2002 We explore numerically the formation of Turing patterns in a confined circular domain with small aspect ratio. Our results show that stable fivefold patterns are formed over a well defined range of disk sizes, offering a possible mechanism for inducing the fivefold symmetry observed in early development of regular echinoids.
Aragón, J +4 more
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Artificial Intelligence Meets Micro/Nanorobotics
Advanced Materials, EarlyView.Artificial intelligence is transforming micro‐ and nanorobots from externally controlled, task‐specific machines into adaptive, autonomous systems. Machine learning, multimodal perception, digital twins, AI‐guided materials and geometry design enhance propulsion, localization, decision‐making, whichaccelerates clinical and environmental applications ...
Fatma M. Yurtsever +6 more
wiley +1 more source
IEEE Access, 2021 Great progress has been made in bifurcation control of systems described by ordinary differential equations. However, the control of Hopf bifurcation and Turing patterns is seldom reported in reaction-diffusion systems, which is formed by partial ...
Yunxiang Lu +6 more
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Stability of Turing patterns in the Brusselator model [PDF]
Physical Review E, 2001 The selection and competition of Turing patterns in the Brusselator model are reviewed. The stability of stripes and hexagons towards spatial perturbations is studied using the amplitude equation formalism. For hexagonal patterns these equations include both linear and nonpotential spatial terms enabling distorted solutions.
B, Peña, C, Pérez-García
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Precision and dissipation of a stochastic Turing pattern [PDF]
Physical Review E, 2020 7 pages, 8 ...
Rana, Shubhashis, Barato, Andre C
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