References analysis of the Wikipedia article "Reaction–diffusion system" in the English version

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Newell, Alan C.; Whitehead, J. A. (September 3, 1969). "Finite bandwidth, finite amplitude convection". Journal of Fluid Mechanics. 38 (2). Cambridge University Press (CUP): 279–303. Bibcode:1969JFM....38..279N. doi:10.1017/s0022112069000176. ISSN 0022-1120. S2CID 73620481.

Segel, Lee A. (August 14, 1969). "Distant side-walls cause slow amplitude modulation of cellular convection". Journal of Fluid Mechanics. 38 (1). Cambridge University Press (CUP): 203–224. Bibcode:1969JFM....38..203S. doi:10.1017/s0022112069000127. ISSN 0022-1120. S2CID 122764449.

Turing, A. M. (August 14, 1952). "The chemical basis of morphogenesis". Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences. 237 (641). The Royal Society: 37–72. Bibcode:1952RSPTB.237...37T. doi:10.1098/rstb.1952.0012. ISSN 2054-0280.

FitzHugh, Richard (1961). "Impulses and Physiological States in Theoretical Models of Nerve Membrane". Biophysical Journal. 1 (6). Elsevier BV: 445–466. Bibcode:1961BpJ.....1..445F. doi:10.1016/s0006-3495(61)86902-6. ISSN 0006-3495. PMC 1366333. PMID 19431309.

Kopell, N.; Howard, L. N. (1973). "Plane Wave Solutions to Reaction-Diffusion Equations". Studies in Applied Mathematics. 52 (4). Wiley: 291–328. doi:10.1002/sapm1973524291. ISSN 0022-2526.

Vanag, Vladimir K.; Epstein, Irving R. (March 24, 2004). "Stationary and Oscillatory Localized Patterns, and Subcritical Bifurcations". Physical Review Letters. 92 (12). American Physical Society (APS): 128301. Bibcode:2004PhRvL..92l8301V. doi:10.1103/physrevlett.92.128301. ISSN 0031-9007. PMID 15089714.

Lobanova, E. S.; Ataullakhanov, F. I. (August 26, 2004). "Running Pulses of Complex Shape in a Reaction-Diffusion Model". Physical Review Letters. 93 (9). American Physical Society (APS): 098303. Bibcode:2004PhRvL..93i8303L. doi:10.1103/physrevlett.93.098303. ISSN 0031-9007. PMID 15447151.

Osborne, A. G.; Recktenwald, G. D.; Deinert, M. R. (June 2012). "Propagation of a solitary fission wave". Chaos: An Interdisciplinary Journal of Nonlinear Science. 22 (2): 023148. Bibcode:2012Chaos..22b3148O. doi:10.1063/1.4729927. hdl:2152/43281. ISSN 1054-1500. PMID 22757555.

Schenk, C. P.; Or-Guil, M.; Bode, M.; Purwins, H.-G. (May 12, 1997). "Interacting Pulses in Three-Component Reaction-Diffusion Systems on Two-Dimensional Domains". Physical Review Letters. 78 (19). American Physical Society (APS): 3781–3784. Bibcode:1997PhRvL..78.3781S. doi:10.1103/physrevlett.78.3781. ISSN 0031-9007.

Gupta, Ankur; Chakraborty, Saikat (January 2009). "Linear stability analysis of high- and low-dimensional models for describing mixing-limited pattern formation in homogeneous autocatalytic reactors". Chemical Engineering Journal. 145 (3): 399–411. doi:10.1016/j.cej.2008.08.025. ISSN 1385-8947.

Duran-Nebreda, Salva; Pla, Jordi; Vidiella, Blai; Piñero, Jordi; Conde-Pueyo, Nuria; Solé, Ricard (January 15, 2021). "Synthetic Lateral Inhibition in Periodic Pattern Forming Microbial Colonies". ACS Synthetic Biology. 10 (2): 277–285. doi:10.1021/acssynbio.0c00318. ISSN 2161-5063. PMC 8486170. PMID 33449631.

Holmes, E. E.; Lewis, M. A.; Banks, J. E.; Veit, R. R. (1994). "Partial Differential Equations in Ecology: Spatial Interactions and Population Dynamics". Ecology. 75 (1). Wiley: 17–29. doi:10.2307/1939378. ISSN 0012-9658. JSTOR 1939378. S2CID 85421773.

Murray, James D.; Stanley, E. A.; Brown, D. L. (November 22, 1986). "On the spatial spread of rabies among foxes". Proceedings of the Royal Society of London. Series B. Biological Sciences. 229 (1255). The Royal Society: 111–150. Bibcode:1986RSPSB.229..111M. doi:10.1098/rspb.1986.0078. ISSN 2053-9193. PMID 2880348. S2CID 129301761.

Chaplain, M. A. J. (1995). "Reaction–diffusion prepatterning and its potential role in tumour invasion". Journal of Biological Systems. 03 (4). World Scientific Pub Co Pte Lt: 929–936. doi:10.1142/s0218339095000824. ISSN 0218-3390.

Sherratt, J. A.; Nowak, M. A. (June 22, 1992). "Oncogenes, anti-oncogenes and the immune response to cancer : a mathematical model". Proceedings of the Royal Society B: Biological Sciences. 248 (1323). The Royal Society: 261–271. doi:10.1098/rspb.1992.0071. ISSN 0962-8452. PMID 1354364. S2CID 11967813.

Osborne, Andrew G.; Deinert, Mark R. (October 2021). "Stability instability and Hopf bifurcation in fission waves". Cell Reports Physical Science. 2 (10): 100588. Bibcode:2021CRPS....200588O. doi:10.1016/j.xcrp.2021.100588. S2CID 240589650.

Sherratt, J. A.; Murray, J. D. (July 23, 1990). "Models of epidermal wound healing". Proceedings of the Royal Society B: Biological Sciences. 241 (1300). The Royal Society: 29–36. doi:10.1098/rspb.1990.0061. ISSN 0962-8452. PMID 1978332. S2CID 20717487.

Lee, Kyoung-Jin; McCormick, William D.; Pearson, John E.; Swinney, Harry L. (1994). "Experimental observation of self-replicating spots in a reaction–diffusion system". Nature. 369 (6477). Springer Nature: 215–218. Bibcode:1994Natur.369..215L. doi:10.1038/369215a0. ISSN 0028-0836. S2CID 4257570.

Hamik, Chad T; Steinbock, Oliver (June 6, 2003). "Excitation waves in reaction-diffusion media with non-monotonic dispersion relations". New Journal of Physics. 5 (1). IOP Publishing: 58. Bibcode:2003NJPh....5...58H. doi:10.1088/1367-2630/5/1/358. ISSN 1367-2630.

Rotermund, H. H.; Jakubith, S.; von Oertzen, A.; Ertl, G. (June 10, 1991). "Solitons in a surface reaction". Physical Review Letters. 66 (23). American Physical Society (APS): 3083–3086. Bibcode:1991PhRvL..66.3083R. doi:10.1103/physrevlett.66.3083. ISSN 0031-9007. PMID 10043694.

Graham, Michael D.; Lane, Samuel L.; Luss, Dan (1993). "Temperature pulse dynamics on a catalytic ring". The Journal of Physical Chemistry. 97 (29). American Chemical Society (ACS): 7564–7571. doi:10.1021/j100131a028. ISSN 0022-3654.

Hodgkin, A. L.; Huxley, A. F. (August 28, 1952). "A quantitative description of membrane current and its application to conduction and excitation in nerve". The Journal of Physiology. 117 (4). Wiley: 500–544. doi:10.1113/jphysiol.1952.sp004764. ISSN 0022-3751. PMC 1392413. PMID 12991237.

Bode, M.; Purwins, H.-G. (1995). "Pattern formation in reaction-diffusion systems - dissipative solitons in physical systems". Physica D: Nonlinear Phenomena. 86 (1–2). Elsevier BV: 53–63. Bibcode:1995PhyD...86...53B. doi:10.1016/0167-2789(95)00087-k. ISSN 0167-2789.

Isaacson, Samuel A.; Peskin, Charles S. (2006). "Incorporating Diffusion in Complex Geometries into Stochastic Chemical Kinetics Simulations". SIAM J. Sci. Comput. 28 (1): 47–74. Bibcode:2006SJSC...28...47I. CiteSeerX 10.1.1.105.2369. doi:10.1137/040605060.

Schöneberg, Johannes; Ullrich, Alexander; Noé, Frank (October 24, 2014). "Simulation tools for particle-based reaction-diffusion dynamics in continuous space". BMC Biophysics. 7 (1): 11. doi:10.1186/s13628-014-0011-5. ISSN 2046-1682. PMC 4347613. PMID 25737778.

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Kopell, N.; Howard, L. N. (1973). "Plane Wave Solutions to Reaction-Diffusion Equations". Studies in Applied Mathematics. 52 (4). Wiley: 291–328. doi:10.1002/sapm1973524291. ISSN 0022-2526.

Reaction–diffusion system (English Wikipedia)

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