The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Turing patterns in fish skin?
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Some additional source of non-dissipative memory is required to overcome the intrinsic spatial wavelengths induced by singular parameter values in reaction-diffusion systems applied to biological phenomena.
“There have been efforts to apply reaction–diffusion systems to biological phenomena, such as patterning in fish skin, but as researchers have pointed out, some additional source of non-dissipative memory is required to overcome the intrinsic spatial wavelengths induced by singular parameter values [20].”
From Symmetry–simplicity, broken symmetry–complexity (2023) · cites this paper as [20]
Citations
Cites
Pattern formation outside of equilibrium
Cross, M. C., & Hohenberg, P. C. (1993) · Reviews of Modern Physics · doi:10.1103/revmodphys.65.851 · Cited by 7,859
Murray, J. D. (1993) · Springer eBooks · doi:10.1007/978-3-662-08542-4 · Cited by 1,155
A reaction–diffusion wave on the skin of the marine angelfish Pomacanthus
Kondo, S., & Asai, R. (1995) · Nature · doi:10.1038/376765a0 · Cited by 813
Self-citationchapter 2 Migration and Differentiation of Neural Crest Cells
Douarin, N. M. L. (1980) · Current topics in developmental biology/Current Topics in Developmental Biology · doi:10.1016/s0070-2153(08)60153-2 · Cited by 201
Meinhardt, H. (1995) · Nature · doi:10.1038/376722a0 · Cited by 64
Flagged first, then by citations
Cited by
Sorted by citations
Spatial pattern formation in chemical and biological systems
Maini, P. K., Painter, K. J., & Chau, H. N. P. (1997) · Journal of the Chemical Society Faraday Transactions · doi:10.1039/a702602a · Cited by 336
Spontaneous motion of a droplet coupled with a chemical wave
Kitahata, H., Yoshinaga, N., NAGAI, K. H., & Sumino, Y. (2011) · Physical Review E · doi:10.1103/physreve.84.015101 · Cited by 86
Bulychev, A. A., Полежаев, А. А., Zykov, S. V., Plyusnina, T. Y., Riznichenko, G. Y., Rubin, A. B., Jantoss, W., Zykov, V. S., & Müller, S. C. (2001) · Journal of Theoretical Biology · doi:10.1006/jtbi.2001.2375 · Cited by 44
Programmable Design of Self-Organized Patterns through a Precipitation Reaction
Itatani, M., Fang, Q., Unoura, K., & Nabika, H. (2020) · The Journal of Physical Chemistry B · doi:10.1021/acs.jpcb.0c05603 · Cited by 19
Itatani, M., Fang, Q., & Nabika, H. (2021) · The Journal of Physical Chemistry B · doi:10.1021/acs.jpcb.1c02175 · Cited by 18
Boundary Conditions Cause Different Generic Bifurcation Structures in Turing Systems
Woolley, T. E. (2022) · Bulletin of Mathematical Biology · doi:10.1007/s11538-022-01055-x · Cited by 16
Symmetry–simplicity, broken symmetry–complexity
Krakauer, D. C. (2023) · Interface Focus · doi:10.1098/rsfs.2022.0075 · Cited by 10
Control-parameter-dependent Swift-Hohenberg equation as a model for bioconvection patterns
Lega, J. C., & Mendelson, N. H. (1999) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.59.6267 · Cited by 9
Pattern formation on regular polygons and circles
Woolley, T. E. (2024) · Journal of Nonlinear Science · doi:10.1007/s00332-024-10096-6 · Cited by 6
Bespoke Turing patterns with specific nonlinear properties
Woolley, T. E. (2025) · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rspa.2025.0030 · Cited by 5
Mathematical properties of models of the reaction–diffusion type
Matteo Beccaria, A., & Soliani, G. (1998) · Physica A Statistical Mechanics and its Applications · doi:10.1016/s0378-4371(98)00295-7 · Cited by 3
Aguilar, C., & Libertad, N. (2019) · Repositorio Institucional UN - Biblioteca Digital · Cited by 2
Metadata
- Authors
- Kondo, S., & Asai, R.
- Affiliations
- Kyoto University (JP)
- ORCID
- Kondo, Shigeru
- Venue
- Nature
- Published
- 1996-04-25
- Volume
- 380
- Issue
- 6576
- Pages
- 678-678
- ISSN
- 0028-0836 (ISSN-L)
- 1476-4687
- OpenAlex
- W2052169304
- Cited by
- 10
- References
- 5
- Citations by year
- 2025: 1 · 2024: 1 · 2022: 1 · 2021: 1 · 2020: 1
- FWCI
- 0.38
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- Nature (publishedVersion)
- Topics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Developmental Biology and Gene Regulation
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Nonlinear Dynamics and Pattern Formation
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Cell Biology › melanin and skin pigmentation
- Keywords
- Turing patterns, fish skin, pattern formation, reaction-diffusion, morphogenesis, zebrafish, skin pigmentation
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review