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Journal articles on the topic 'Pattern formation'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Short, Nicholas. "Patterns of pattern formation." Nature 378, no. 6555 (1995): 331. http://dx.doi.org/10.1038/378331a0.

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2

Reinitz, John. "Pattern formation." Nature 482, no. 7386 (2012): 464. http://dx.doi.org/10.1038/482464a.

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3

Woychik, R. "Pattern formation." Reproductive Toxicology 11, no. 2-3 (1997): 339–44. http://dx.doi.org/10.1016/s0890-6238(96)00217-1.

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4

Saito, Yoshiyuki, G. Goldbeck-Wood, and H. Müller-Krumbhaar. "Dentritic Pattern Formation." Solid State Phenomena 3-4 (January 1991): 139–42. http://dx.doi.org/10.4028/www.scientific.net/ssp.3-4.139.

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5

Saito, Y., G. Goldbeck-Wood, and H. Müller-Krumbhaar. "Dendritic Pattern Formation." Physica Scripta T19B (January 1, 1987): 327–29. http://dx.doi.org/10.1088/0031-8949/1987/t19b/001.

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6

Chuong, Cheng-Ming, and Michael K. Richardson. "Pattern formation today." International Journal of Developmental Biology 53, no. 5-6 (2009): 653–58. http://dx.doi.org/10.1387/ijdb.082594cc.

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7

Benka, Stephen G. "Spontaneous pattern formation." Physics Today 57, no. 12 (2004): 9. http://dx.doi.org/10.1063/1.4796357.

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8

Falkovitz, Meira S., and Joseph B. Keller. "Precipitation pattern formation." Journal of Chemical Physics 88, no. 1 (1988): 416–21. http://dx.doi.org/10.1063/1.454617.

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9

Luo, Nan, Shangying Wang, and Lingchong You. "Synthetic Pattern Formation." Biochemistry 58, no. 11 (2019): 1478–83. http://dx.doi.org/10.1021/acs.biochem.8b01242.

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10

Or-Guil, Michal, Markus Bär, and Mathias Bode. "Hierarchical pattern formation." Physica A: Statistical Mechanics and its Applications 257, no. 1-4 (1998): 470–76. http://dx.doi.org/10.1016/s0378-4371(98)00179-4.

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11

Hohm, T., and E. Zitzler. "Multicellular pattern formation." IEEE Engineering in Medicine and Biology Magazine 28, no. 4 (2009): 52–57. http://dx.doi.org/10.1109/memb.2009.932905.

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12

Vicsek, Tamás, and János Kertész. "Laplacian Pattern Formation." Europhysics News 19, no. 2 (1988): 24–27. http://dx.doi.org/10.1051/epn/19881902024.

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13

Perrimon, Norbert, and Claudio Sternt. "Pattern formation and developmental mechanisms unresolved issues of pattern formation." Current Opinion in Genetics & Development 9, no. 4 (1999): 387–89. http://dx.doi.org/10.1016/s0959-437x(99)80058-6.

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14

NEUFELD, M., and R. FRIEDRICH. "PATTERN FORMATION IN ROTATING BÉNARD CONVECTION." International Journal of Bifurcation and Chaos 04, no. 05 (1994): 1155–63. http://dx.doi.org/10.1142/s021812749400085x.

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Using a model equation we study pattern formation in rotating, high Prandtl-number Bénard convection in circular geometry and in a rectangular vessel with periodic boundary conditions. We report on drifting pattern, defect motion, Küppers-Lortz instability and domain wall turbulence. In circular geometry we observed spiral patterns which disappear and reappear in the Küppers-Lortz unstable regime. We define a pattern entropy for the patterns and show that this quantity is related to the Nusselt number.

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15

Yamaguchi, Tetsuo. "Rapid Swelling and Pattern Formation in Hydrogel Particles." Nihon Reoroji Gakkaishi 42, no. 2 (2014): 129–33. http://dx.doi.org/10.1678/rheology.42.129.

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16

Kotov, M. M. "Speckle pattern formation in spatially limited optical systems." Semiconductor Physics Quantum Electronics and Optoelectronics 19, no. 1 (2016): 47–51. http://dx.doi.org/10.15407/spqeo19.01.047.

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17

Thalmeier, Dominik, Jacob Halatek, and Erwin Frey. "Geometry-induced protein pattern formation." Proceedings of the National Academy of Sciences 113, no. 3 (2016): 548–53. http://dx.doi.org/10.1073/pnas.1515191113.

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Protein patterns are known to adapt to cell shape and serve as spatial templates that choreograph downstream processes like cell polarity or cell division. However, how can pattern-forming proteins sense and respond to the geometry of a cell, and what mechanistic principles underlie pattern formation? Current models invoke mechanisms based on dynamic instabilities arising from nonlinear interactions between proteins but neglect the influence of the spatial geometry itself. Here, we show that patterns can emerge as a direct result of adaptation to cell geometry, in the absence of dynamical inst

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18

FRIEDRICH, R., M. BESTEHORN, and H. HAKEN. "PATTERN FORMATION IN CONVECTIVE INSTABILITIES." International Journal of Modern Physics B 04, no. 03 (1990): 365–400. http://dx.doi.org/10.1142/s0217979290000188.

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The present article reviews recent progress in the study of pattern formation in convective instabilities. After a brief discussion of the relevant basic hydrodynamic equations as well as a short outline of the mathematical treatment of pattern formation in complex systems the self-organization of spatial and spatio-temporal structures due to convective instabilities is considered. The formation of various forms of convective patterns arising in the Bénard experiment, i.e. in a horizontal fluid layer heated from below, is discussed. Then the review considers pattern formation in the Bénard ins

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19

Ackermann, J., and T. Kirner. "Parasites and Pattern Formation." Zeitschrift für Naturforschung A 54, no. 2 (1999): 146–52. http://dx.doi.org/10.1515/zna-1999-0209.

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Abstract Biological information is coded in replicating molecules. To maintain a given amount of in-formation a cooperative interaction between these molecules is essential. The main problem for the stability of a system of prebiotic replicators are emerging parasites. Stabilization against such parasites is possible if space is introduced in the model. Complex patterns like spiral waves and self-replicating spot patterns have been shown to stabilize such systems. Stability of replicating systems, however, occurs only in parameter regions were such complex patterns occur. We show that parasite

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20

Jeong, Seong-Ok, Hie-Tae Moon, and Tae-Wook Ko. "Nearest pattern interaction and global pattern formation." Physical Review E 62, no. 6 (2000): 7778–80. http://dx.doi.org/10.1103/physreve.62.7778.

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21

Bentil, D. E., and J. D. Murray. "Pattern selection in biological pattern formation mechanisms." Applied Mathematics Letters 4, no. 3 (1991): 1–5. http://dx.doi.org/10.1016/0893-9659(91)90022-n.

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22

MASELKO, JERZY. "PATTERN FORMATIONS IN CHEMICAL SYSTEMS." Advances in Complex Systems 06, no. 01 (2003): 3–14. http://dx.doi.org/10.1142/s0219525903000712.

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The formation of complex patterns in chemical systems is discussed in the following cases: relations of pattern formation to thermodynamics theories; unusually complex pattern formation in very simple experimental chemical systems; and numerical simulation of patterns that develop in multicellular chemical systems. The paper concludes with a discussion on future technological applications.

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23

Ghadiri, M., and R. Krechetnikov. "Pattern formation on time-dependent domains." Journal of Fluid Mechanics 880 (October 7, 2019): 136–79. http://dx.doi.org/10.1017/jfm.2019.659.

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In the quest to understand the dynamics of distributed systems on time-dependent spatial domains, we study experimentally the response to domain deformations by Faraday wave patterns – standing waves formed on the free surface of a liquid layer due to its vertical vibration – chosen as a paradigm owing to their historical use in testing new theories and ideas. In our experimental set-up of a vibrating water container with controlled positions of lateral walls and liquid layer depth, the characteristics of the patterns are measured using the Fourier transform profilometry technique, which allow

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24

SAWADA, Yasuji. "Crystals and Pattern Formation." Nihon Kessho Gakkaishi 33, no. 6 (1991): 319–25. http://dx.doi.org/10.5940/jcrsj.33.319.

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25

Hunt, J. D. "Pattern formation in solidification." Materials Science and Technology 15, no. 1 (1999): 9–14. http://dx.doi.org/10.1179/026708399773002755.

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26

Gyorgy, Andras, and Murat Arcak. "Pattern Formation over Multigraphs." IEEE Transactions on Network Science and Engineering 5, no. 1 (2018): 55–64. http://dx.doi.org/10.1109/tnse.2017.2730261.

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27

Sang, James H. "Pattern Formation during Development." Quarterly Review of Biology 74, no. 1 (1999): 75. http://dx.doi.org/10.1086/392985.

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28

Bel'kov, V. V., J. Hirschinger, V. Novák, F. J. Niedernostheide, S. D. Ganichev, and W. Prettl. "Pattern formation in semiconductors." Nature 397, no. 6718 (1999): 398. http://dx.doi.org/10.1038/17040.

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29

Hunt, J. D. "Pattern formation in solidification." Science and Technology of Advanced Materials 2, no. 1 (2001): 147–55. http://dx.doi.org/10.1016/s1468-6996(01)00040-7.

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30

Trimper, Steffen, and Knud Zabrocki. "Memory driven pattern formation." Physics Letters A 331, no. 6 (2004): 423–31. http://dx.doi.org/10.1016/j.physleta.2004.09.018.

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31

Nepomnyashchy, Alexander A. "Coarsening versus pattern formation." Comptes Rendus Physique 16, no. 3 (2015): 267–79. http://dx.doi.org/10.1016/j.crhy.2015.03.004.

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32

Bajaj, Renu, and S. K. Malik. "Pattern formation in ferrofluids." Journal of Magnetism and Magnetic Materials 149, no. 1-2 (1995): 158–61. http://dx.doi.org/10.1016/0304-8853(95)00361-4.

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33

Herrmann, Hans-J. "Pattern Formation of Dunes." Nonlinear Dynamics 44, no. 1-4 (2006): 315–17. http://dx.doi.org/10.1007/s11071-006-2016-3.

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34

Prati, F., M. Brambilla, and L. A. Lugiato. "Pattern formation in lasers." La Rivista Del Nuovo Cimento Series 3 17, no. 3 (1994): 1–85. http://dx.doi.org/10.1007/bf02724484.

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35

Erlebacher, J., and K. Sieradzki. "Pattern formation during dealloying." Scripta Materialia 49, no. 10 (2003): 991–96. http://dx.doi.org/10.1016/s1359-6462(03)00471-8.

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36

GREEN, P. B. "Developmental Biology: Pattern Formation." Science 229, no. 4709 (1985): 156. http://dx.doi.org/10.1126/science.229.4709.156.

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37

Onuki, Akira. "Pattern Formation in Gels." Journal of the Physical Society of Japan 57, no. 3 (1988): 703–6. http://dx.doi.org/10.1143/jpsj.57.703.

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38

Armbruster, Dieter, Marguerite George, and Iuliana Oprea. "Parametrically forced pattern formation." Chaos: An Interdisciplinary Journal of Nonlinear Science 11, no. 1 (2001): 52. http://dx.doi.org/10.1063/1.1350454.

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39

Krischer, K. "Spatio-Temporal Pattern Formation." Zeitschrift für Physikalische Chemie 208, Part_1_2 (1999): 280–81. http://dx.doi.org/10.1524/zpch.1999.208.part_1_2.280.

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40

Yuzhakov, Vadim V., Hsueh-Chia Chang, and Albert E. Miller. "Pattern formation during electropolishing." Physical Review B 56, no. 19 (1997): 12608–24. http://dx.doi.org/10.1103/physrevb.56.12608.

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41

Czirok, Andras, and Charles D. Little. "Pattern formation during vasculogenesis." Birth Defects Research Part C: Embryo Today: Reviews 96, no. 2 (2012): 153–62. http://dx.doi.org/10.1002/bdrc.21010.

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42

Berking, Stefan. "Pattern Formation in Hydrozoa." Naturwissenschaften 84, no. 9 (1997): 381–88. http://dx.doi.org/10.1007/s001140050414.

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43

Bonner, J. T., and Edward C. Cox. "Pattern formation in dictyostelids." Seminars in Developmental Biology 6, no. 5 (1995): 359–68. http://dx.doi.org/10.1016/s1044-5781(06)80077-0.

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44

Aifantis, E. C. "Pattern formation in plasticity." International Journal of Engineering Science 33, no. 15 (1995): 2161–78. http://dx.doi.org/10.1016/0020-7225(95)00086-d.

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45

HAKEN, HERMANN. "SYNERGETICS: FROM PATTERN FORMATION TO PATTERN ANALYSIS AND PATTERN RECOGNITION." International Journal of Bifurcation and Chaos 04, no. 05 (1994): 1069–83. http://dx.doi.org/10.1142/s0218127494000782.

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It is by now well known that numerous open systems in physics (fluids, plasmas, lasers, nonlinear optical devices, semiconductors), chemistry and biology (morphogenesis) may spontaneously develop spatial, temporal or spatiotemporal structures by self-organization. Quite often, striking analogies between the corresponding patterns can be observed in spite of the fact that the underlying systems are of quite a different nature. In this paper I shall first give an outline of general concepts that allow us to deal with the spontaneous formation of structures from a unifying point of view that is b

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46

Kästner, Karl, Daniel Caviedes-Voullième, and Christoph Hinz. "Formation of spatial vegetation patterns in heterogeneous environments." PLOS One 20, no. 5 (2025): e0324181. https://doi.org/10.1371/journal.pone.0324181.

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Functioning of many resource-limited ecosystems is facilitated through spatial patterns. Patterns can indicate ecosystems productivity and resilience, but the interpretation of a pattern requires good understanding of its structure and underlying biophysical processes. Regular patterns are understood to form autogenously through self-organization, for which exogenous heterogeneities are negligible. This has been corroborated by reaction-diffusion models which generate highly regular patterns in idealized homogeneous environments. However, such model-generated patterns are considerably more reg

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47

Halatek, J., F. Brauns, and E. Frey. "Self-organization principles of intracellular pattern formation." Philosophical Transactions of the Royal Society B: Biological Sciences 373, no. 1747 (2018): 20170107. http://dx.doi.org/10.1098/rstb.2017.0107.

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Dynamic patterning of specific proteins is essential for the spatio-temporal regulation of many important intracellular processes in prokaryotes, eukaryotes and multicellular organisms. The emergence of patterns generated by interactions of diffusing proteins is a paradigmatic example for self-organization. In this article, we review quantitative models for intracellular Min protein patterns in Escherichia coli , Cdc42 polarization in Saccharomyces cerevisiae and the bipolar PAR protein patterns found in Caenorhabditis elegans . By analysing the molecular processes driving these systems we der

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48

Baxtiyorovna, Nizamova Barno, and Karimova Xusnida Djuma qizi. "THE FEATURES OF PATTERN FORMATION ON FLAT KNITTING MACHINES." International Journal of Advance Scientific Research 02, no. 02 (2022): 1–11. http://dx.doi.org/10.37547/ijasr-02-02-01.

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The development of the production of knitwear will lead to the further application of new technologies and the expansion of the range of knitwear. In the fields of trade industry, as well as in the service sector, the main requirement is the production of knitwear, which is combined with high manufacturability and wide distribution, which will lead to low cost, with relatively acceptable consumer characteristics and parameters. In this regard, the solution to the above problems in the technological part of the production of knitwear is of particular importance and is necessary. The article exp

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49

Lee, Kyoung-Jin, William D. McCormick, Qi Ouyang, and Harry L. Swinney. "Correction: Ferricyanide and Pattern Formation." Science 265, no. 5177 (1994): 1348. http://dx.doi.org/10.1126/science.265.5177.1348.b.

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In our report on page 192 in the issue of 9 July 1993, "Pattern formation by interacting chemical fronts," the term "ferrocyanide" should have been "ferricyanide" 11 lines from the end of the first column on page 193 and in the caption of figure 4 on page 194. We thank G. Rabai for pointing out these errors, which in no way change the results or the interpretation of the patterns studied.

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50

Lin, Y. C., C. H. Chen, K. L. Su, and J. H. Guo. "Image Recognition Method Applying in Formation Control of Mobile Robots." Applied Mechanics and Materials 190-191 (July 2012): 693–98. http://dx.doi.org/10.4028/www.scientific.net/amm.190-191.693.

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The article develops multi-pattern formation exchange using A* searching algorithm, and programs the shortest motion paths for mobile robots. The system contains an image recognition system, a motion platform, some wireless RF modules and five mobile robots. We use Otsu algorithm to recognize the variety 2D bar code to classify variety pattern, and control five mobile robots to execute formation exchange, and present the movement scenario on the motion platform. We have been developed some pattern formations according to game applications, such as hook pattern formation, T pattern formation, L

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