Strong Emergence Arising from Weak Emergence by Thomas Schmickl

“…The root cause for this inability to predict this in a micro-to-macro way is identified as the pattern formation process, a phenomenon that is usually classified as being of “weak emergence.” …”
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Abundant new interaction solutions and nonlinear dynamics for the (3+1)-dimensional Hirota–Satsuma–Ito-like equation by Liu Xiaotian, Zhang Yongshuai, Yang Yunqing

“…These results reported in this article can reveal the theoretical mechanisms of stability, energy transfer, and pattern formation in nonlinear media and may raise the possibility of related experiments and potential applications in nonlinear science fields, such as oceanography, nonlinear optics, and so on.…”
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Spatiotemporal Dynamics of a Reaction Diffusive Predator-Prey Model: A Weak Nonlinear Analysis by N. B. Sharmila, C. Gunasundari, Mohammad Sajid

“…The study delves into how diffusion influences pattern formation within a predator-prey system. Our findings reveal that various spatiotemporal patterns, such as patches, spots, and even chaos, emerge based on species diffusion rates. …”
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Optimal network sizes for most robust Turing patterns by Hazlam S. Ahmad Shaberi, Aibek Kappassov, Antonio Matas-Gil, Robert G. Endres

“…Abstract Many cellular patterns exhibit a reaction-diffusion component, suggesting that Turing instability may contribute to pattern formation. However, biological gene-regulatory pathways are more complex than simple Turing activator-inhibitor models and generally do not require fine-tuning of parameters as dictated by the Turing conditions. …”
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Self-Organized Fission-Fusion Control Algorithm for Flocking Systems Based on Intermittent Selective Interaction by Panpan Yang, Maode Yan, Jiacheng Song, Ye Tang

“…In nature, gregarious animals, insects, or bacteria usually exhibit paradoxical behaviors in the form of group fission and fusion, which exerts an important influence on group’s pattern formation, information transfer, and epidemiology. …”
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And growth on form? How tissue expansion generates novel shapes, colours and enhance biological functions of Turing colour patterns of Eukaryotes. by Pierre Galipot

“…By reverse reasoning, we show that growth effects could reveal crucial information about pattern formation. We show how putative growth patterns can contribute to influence organisms visibility, thereby improving camouflage or aposematism. …”
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Emergence of Turing Patterns in a Simple Cellular Automata-Like Model via Exchange of Integer Values between Adjacent Cells by Takeshi Ishida

“…The distinguishing characteristic of this model is that it presents a different pattern formation mechanism using only one kind of token, such as a chemical agent that ages via spatial diffusion. …”
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The Effect of the Film Thickness, Cooling Rate, and Solvent Evaporation on the Formation of <i>L</i>-Menthol Ring-Banded Spherulites by Tamás Kovács, Tamás Kovács, Márton Detrich, Ferenc Gazdag, Masaki Itatani, István Lagzi

“…Periodic pattern formation is a prominent phenomenon in chemical, physical, and geochemical systems. …”
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PlantLayout pipeline to model tissue patterning by M. S. Savina, V. V. Mironova

“…To study the mechanisms underlying developmental pattern formation in a tissue, one needs to analyze the dynamics of the regulators in time and space across the tissue of a specific architecture. …”
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Time-Space Translation: A Developmental Principle by A. J. Durston, H. J. Jansen, S. A. Wacker

“…When separated from each other, neither the NOM nor the SO is able to induce anterior-posterior pattern formation of the trunk. We present a model describing that the NOM acquires transiently stable hox codes and spatial collinearity, and that morphogenetic movements then continually bring new cells from the NOM within the range of SO signals that cause transfer of the mesodermal pattern to a stable pattern in neurectoderm and, thereby, create patterned axial structures. …”
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Microtubule flexibility, microtubule-based nucleation and ROP pattern co-alignment enhance protoxylem microtubule patterning by Bas Jacobs, Marco Saltini, Jaap Molenaar, Laura Filion, Eva E. Deinum

“…We find that microtubule flexibility facilitates pattern formation for all realistic degrees of mismatch between array and pattern orientation. …”
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Investigation of Cortical Signal Propagation and the Resulting Spatiotemporal Patterns in Memristor-Based Neuronal Network by Ke Ding, Zahra Rostami, Sajad Jafari, Boshra Hatef

“…The results show that the lattice supports spatiotemporal pattern formation without supervision. It is found that memristor-type coupling is more noticeable against resistor-type coupling, while determining the excitable tissue switch over different complex behaviors. …”
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Spherical harmonics texture extraction for versatile analysis of biological objects. by Oane Gros, Josiah B Passmore, Noa O Borst, Dominik Kutra, Wilco Nijenhuis, Timothy Fuqua, Lukas C Kapitein, Justin M Crocker, Anna Kreshuk, Simone Köhler

“…The Spherical Texture extraction characterizes biologically defined gene expression patterns in Drosophila melanogaster embryos, giving a quantitative read-out for pattern formation. Our method can also quantify morphological differences in Caenorhabditis elegans germline nuclei, which lack a predefined pattern. …”
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Noise in ecosystems: A short review by B. Spagnolo, D. Valenti, A. Fiasconaro

“…Theinteraction parameter between the species is random in cases (i) and (iii), and aperiodical function, which accounts for the environmental temperature, in case (ii).We find noise-induced phenomena such as quasi-deterministic oscillations, stochasticresonance, noise-delayed extinction, and noise-induced pattern formation with non-monotonic behaviors of patterns areas and of the density correlation as a functionof the multiplicative noise intensity. …”
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A Climate Simulation Dataset From 11 Overriding Experiments for Analysing Cloud and Air–Sea Feedbacks by Xiao Guo, Biao Feng, Zhiying Zhao, Jian Ma

“…Due to complex cloud physics in air–sea coupling, this contributes to the surface warming pattern formation with significant uncertainty. Here we develop a novel overriding technique for climate projections that substitutes specific variables in control runs to isolate such feedback mechanisms, decoupling thermodynamic, dynamical and radiative responses of the surface ocean to the atmosphere. …”
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PIN2-mediated self-organizing transient auxin flow contributes to auxin maxima at the tip of Arabidopsis cotyledons by Patricio Pérez-Henríquez, Shingo Nagawa, Zhongchi Liu, Xue Pan, Marta Michniewicz, Wenxin Tang, Carolyn Rasmussen, Xinping Cui, Jaimie Van Norman, Lucia Strader, Zhenbiao Yang

“…Abstract Directional auxin transport and formation of auxin maxima are critical for embryogenesis, organogenesis, pattern formation, and growth coordination in plants, but the mechanisms underpinning the initiation and establishment of these auxin dynamics are not fully understood. …”
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Gene regulatory patterning codes in early cell fate specification of the C. elegans embryo by Alison G Cole, Tamar Hashimshony, Zhuo Du, Itai Yanai

“…Pattern formation originates during embryogenesis by a series of symmetry-breaking steps throughout an expanding cell lineage. …”
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Hairy transcriptional repression targets and cofactor recruitment in Drosophila. by Daniella Bianchi-Frias, Amir Orian, Jeffrey J Delrow, Julio Vazquez, Alicia E Rosales-Nieves, Susan M Parkhurst

“…In addition to finding putative targets for Hairy in segmentation, we find groups of targets suggesting roles for Hairy in cell cycle, cell growth, and morphogenesis, processes that must be coordinately regulated with pattern formation. Examining the recruitment of Hairy's three characterized cofactors to their putative target genes revealed that cofactor recruitment is context-dependent. …”
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Network-wide effects of pallidal deep brain stimulation normalised abnormal cerebellar cortical activity in the dystonic animal model by Fabiana Santana Kragelund, Konstantinos Spiliotis, Marco Heerdegen, Tina Sellmann, Henning Bathel, Anika Lüttig, Angelika Richter, Jens Starke, Rüdiger Köhling, Denise Franz

“…This study explores how pallidal DBS alters spatiotemporal pattern formation of neuronal dynamics within the cerebellar cortex in a dystonic animal model, the dtsz hamster. …”
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Nonlinear Instability for a Leslie-Gower Predator-Prey Model with Cross Diffusion by Lina Zhang, Shengmao Fu

“…A rigorous mathematical characterization for early-stage spatial and temporal patterns formation in a Leslie-Gower predator-prey model with cross diffusion is investigated. …”
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