{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,8]],"date-time":"2025-09-08T05:42:22Z","timestamp":1757310142600},"publisher-location":"Cham","reference-count":24,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030225131"},{"type":"electronic","value":"9783030225148"}],"license":[{"start":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T00:00:00Z","timestamp":1546300800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019]]},"DOI":"10.1007\/978-3-030-22514-8_32","type":"book-chapter","created":{"date-parts":[[2019,6,11]],"date-time":"2019-06-11T02:02:43Z","timestamp":1560218563000},"page":"364-370","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["New Three-Chemical Polynomial Reaction-Diffusion Equations"],"prefix":"10.1007","author":[{"given":"Do-yeon","family":"Han","sequence":"first","affiliation":[]},{"given":"Byungmoon","family":"Kim","sequence":"additional","affiliation":[]},{"given":"Oh-young","family":"Song","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,6,12]]},"reference":[{"issue":"6","key":"32_CR1","doi-asserted-by":"publisher","first-page":"885","DOI":"10.1109\/83.923285","volume":"10","author":"ST Acton","year":"2001","unstructured":"Acton, S.T., Mukherjee, D.P., Havlicek, J.P., Bovik, A.C.: Oriented texture completion by AM-FM reaction-diffusion. IEEE Trans. Image Process. 10(6), 885\u2013896 (2001)","journal-title":"IEEE Trans. Image Process."},{"issue":"1\u20132","key":"32_CR2","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1016\/0167-2789(91)90194-E","volume":"49","author":"D Barkley","year":"1991","unstructured":"Barkley, D.: A model for fast computer simulation of waves in excitable media. Physica D: Nonlinear Phenom. 49(1\u20132), 61\u201370 (1991)","journal-title":"Physica D: Nonlinear Phenom."},{"key":"32_CR3","unstructured":"Belousov, B.P.: Radiates. Med. 145 (1959)"},{"issue":"6","key":"32_CR4","doi-asserted-by":"publisher","first-page":"1256","DOI":"10.1109\/TPAMI.2016.2596743","volume":"39","author":"Y Chen","year":"2017","unstructured":"Chen, Y., Pock, T.: Trainable nonlinear reaction diffusion: a flexible framework for fast and effective image restoration. IEEE Trans. Pattern Anal. Mach. Intell. 39(6), 1256\u20131272 (2017)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"32_CR5","doi-asserted-by":"publisher","first-page":"659","DOI":"10.1090\/S0025-5718-1993-1195422-2","volume":"61","author":"GH Cottet","year":"1993","unstructured":"Cottet, G.H., Germain, L.: Image processing through reaction combined with nonlinear diffusion. Math. Comput. 61, 659\u2013673 (1993)","journal-title":"Math. Comput."},{"key":"32_CR6","unstructured":"FitzHugh, R.: Mathematical Models of Excitation and Propagation in Nerve. Publisher Unknown (1966)"},{"issue":"1","key":"32_CR7","first-page":"30","volume":"12","author":"A Gierer","year":"1972","unstructured":"Gierer, A., Meinhardt, H.: A theory of biological pattern formation. Biol. Cyberne. 12(1), 30\u201339 (1972)","journal-title":"Biol. Cyberne."},{"key":"32_CR8","unstructured":"Tim, H., Munafo, R., Trevorrow, A., Rokicki, T., Wills, D.: Ready, a cross-platform implementation of various reaction-diffusion systems (2012). \n                      https:\/\/github.com\/GollyGang\/ready"},{"issue":"2","key":"32_CR9","doi-asserted-by":"publisher","first-page":"124","DOI":"10.1109\/2945.856994","volume":"6","author":"G Kindlmann","year":"2000","unstructured":"Kindlmann, G., Weinstein, D., Hart, D.: Strategies for direct volume rendering of diffusion tensor fields. IEEE Trans. Visual. Comput. Graph. 6(2), 124\u2013138 (2000)","journal-title":"IEEE Trans. Visual. Comput. Graph."},{"issue":"5999","key":"32_CR10","doi-asserted-by":"publisher","first-page":"1616","DOI":"10.1126\/science.1179047","volume":"329","author":"S Kondo","year":"2010","unstructured":"Kondo, S., Miura, T.: Reaction-diffusion model as a framework for understanding biological pattern formation. Science 329(5999), 1616\u20131620 (2010)","journal-title":"Science"},{"key":"32_CR11","doi-asserted-by":"crossref","unstructured":"Lo, K.Y., Li, H., Fu, C.W., Wong, T.T.: Interactive reaction-diffusion on surface tiles. In: 15th Pacific Conference on Computer Graphics and Applications, PG 2007, pp. 65\u201374. IEEE (2007)","DOI":"10.1109\/PG.2007.19"},{"issue":"5","key":"32_CR12","doi-asserted-by":"publisher","first-page":"5657","DOI":"10.1103\/PhysRevE.55.5657","volume":"55","author":"A Malevanets","year":"1997","unstructured":"Malevanets, A., Kapral, R.: Microscopic model for Fitzhugh-Nagumo dynamics. Phys. Rev. E 55(5), 5657 (1997)","journal-title":"Phys. Rev. E"},{"key":"32_CR13","volume-title":"Models of Biological Pattern Formation","author":"H Meinhardt","year":"1982","unstructured":"Meinhardt, H.: Models of Biological Pattern Formation. Academic Press, Cambridge (1982)"},{"key":"32_CR14","doi-asserted-by":"publisher","DOI":"10.1007\/b98869","volume-title":"Mathematical Biology II: Spatial Models and Biochemical Applications","author":"J Murray","year":"2003","unstructured":"Murray, J.: Mathematical Biology II: Spatial Models and Biochemical Applications, vol. II. Springer, New York (2003). \n                      https:\/\/doi.org\/10.1007\/b98869"},{"issue":"1","key":"32_CR15","doi-asserted-by":"publisher","first-page":"29","DOI":"10.1016\/0009-2509(83)80132-8","volume":"38","author":"P Gray","year":"1983","unstructured":"Gray, P., Scott, S.K.: Autocatalytic reactions in the isothermal, continuous stirred tank reactor: isolas and other forms of multistability. Chem. Eng. Sci. 38(1), 29\u201343 (1983)","journal-title":"Chem. Eng. Sci."},{"issue":"5","key":"32_CR16","doi-asserted-by":"publisher","first-page":"056213","DOI":"10.1103\/PhysRevE.64.056213","volume":"64","author":"B Pena","year":"2001","unstructured":"Pena, B., Perez-Garcia, C.: Stability of Turing patterns in the Brusselator model. Phys. Rev.E 64(5), 056213 (2001)","journal-title":"Phys. Rev.E"},{"key":"32_CR17","unstructured":"Sanderson, A.R., Johnson, C.R., Kirby, R.M.: Display of vector fields using a reaction-diffusion model. In: Proceedings of the Conference on Visualization 2004, pp. 115\u2013122. IEEE Computer Society (2004)"},{"key":"32_CR18","unstructured":"Sims, K.: Interactive evolution of dynamical systems. In: Toward a Practice of Autonomous Systems: Proceedings of the First European Conference on Artificial Life, pp. 171\u2013178 (1992)"},{"issue":"641","key":"32_CR19","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1098\/rstb.1952.0012","volume":"237","author":"AM Turing","year":"1952","unstructured":"Turing, A.M.: The chemical basis of morphogenesis. Philos. Trans. Roy. Soc. Lond. B: Biol. Sci. 237(641), 37\u201372 (1952)","journal-title":"Philos. Trans. Roy. Soc. Lond. B: Biol. Sci."},{"key":"32_CR20","doi-asserted-by":"publisher","first-page":"289","DOI":"10.1145\/127719.122749","volume":"25","author":"G Turk","year":"1991","unstructured":"Turk, G.: Generating textures on arbitrary surfaces using reaction-diffusion. ACM SIGGRAPH Comput. Graph. 25, 289\u2013298 (1991)","journal-title":"ACM SIGGRAPH Comput. Graph."},{"key":"32_CR21","first-page":"82","volume":"98","author":"M Walter","year":"1998","unstructured":"Walter, M., Fournier, A., Reimers, M.: Clonal mosaic model for the synthesis of mammalian coat patterns. Graph. Interface 98, 82\u201391 (1998)","journal-title":"Graph. Interface"},{"issue":"4","key":"32_CR22","doi-asserted-by":"publisher","first-page":"299","DOI":"10.1145\/127719.122750","volume":"25","author":"A Witkin","year":"1991","unstructured":"Witkin, A., Kass, M.: Reaction-diffusion textures. ACM SIGGRAPH Comput. Graph. 25(4), 299\u2013308 (1991)","journal-title":"ACM SIGGRAPH Comput. Graph."},{"issue":"17","key":"32_CR23","doi-asserted-by":"publisher","first-page":"178303","DOI":"10.1103\/PhysRevLett.90.178303","volume":"90","author":"L Yang","year":"2003","unstructured":"Yang, L., Epstein, I.R.: Oscillatory turing patterns in reaction-diffusion systems with two coupled layers. Phys. Rev. Lett. 90(17), 178303 (2003)","journal-title":"Phys. Rev. Lett."},{"key":"32_CR24","unstructured":"Zhabotinsky, A.M.: Dokl. Akad. Nauk SSSR 157. 392 (1964)"}],"container-title":["Lecture Notes in Computer Science","Advances in Computer Graphics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-22514-8_32","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,11]],"date-time":"2019-06-11T02:10:16Z","timestamp":1560219016000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-030-22514-8_32"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019]]},"ISBN":["9783030225131","9783030225148"],"references-count":24,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-22514-8_32","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2019]]},"assertion":[{"value":"12 June 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"CGI","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Computer Graphics International Conference","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Calgary, AB","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Canada","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2019","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"17 June 2019","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"20 June 2019","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"36","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"cgi2019","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/www.cgs-network.org\/cgi19\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}