{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,4]],"date-time":"2026-05-04T13:33:36Z","timestamp":1777901616364,"version":"3.51.4"},"reference-count":16,"publisher":"SAGE Publications","issue":"5","license":[{"start":{"date-parts":[[1990,11,1]],"date-time":"1990-11-01T00:00:00Z","timestamp":657417600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIMULATION"],"published-print":{"date-parts":[[1990,11]]},"abstract":"<jats:p>The recently introduced Connection Machine, CM-2, is a multiprocessor with massive parallelism. Fully expanded, the CM-2 consists of 64K processing elements connected in a hypercube topology. Each processing element contains a single-bit arithmetic and logic unit as well as up to 256K bits of local memory. Operation is in the SIMD mode with a single control unit controlling all the processors. In this paper the application of a quarter CM-2 (16K processing elements) to the simulation of excitable media is described. Excitable media are distributed parameter systems, charac terized by nonlinear partial differential equations, containing distributed sources of energy. Excitable media arise in biological systems (e.g. heart muscles), chemical processes and a variety of other application areas. The implementation of a mathematical model for the heart muscle on the CM-2 permitted the generation of very interesting computational results.<\/jats:p>","DOI":"10.1177\/003754979005500504","type":"journal-article","created":{"date-parts":[[2007,3,4]],"date-time":"2007-03-04T20:53:41Z","timestamp":1173041621000},"page":"271-281","source":"Crossref","is-referenced-by-count":9,"title":["Simulation of nonlinear distributed parameter systems on the connection machine"],"prefix":"10.1177","volume":"55","author":[{"given":"Boris Y.","family":"Kogan","sequence":"first","affiliation":[{"name":"Department of Computer Science University of California, Los Angeles 3732 Boelter Hall, Los Angeles, CA 90024"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Walter J.","family":"Karplus","sequence":"additional","affiliation":[{"name":"Department of Computer Science University of California, Los Angeles 3732 Boelter Hall, Los Angeles, CA 90024"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alex T.","family":"Pang","sequence":"additional","affiliation":[{"name":"Computer and Information Sciences Board University of California, Santa Cruz Applied Sciences Building Santa Cruz, CA 95064"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[1990,11,1]]},"reference":[{"key":"atypb1","volume-title":"Mathematical Models of Excitation and Propagation in Nerve","author":"R FitzHugh","year":"1969"},{"key":"atypb2","volume":"8","author":"F B. Gul'ko","year":"1967","journal-title":"Automation and Remote Control"},{"issue":"3","key":"atypb3","volume":"15","author":"F.B. Gul'ko","year":"1972","journal-title":"Biofizika"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-96469-5"},{"key":"atypb5","volume-title":"The Connection Machine","author":"W.D. Hillis","year":"1985"},{"key":"atypb6","volume-title":"Parallel Processing for Supercomputers and Artificial Intelligence","author":"K. Hwang","year":"1989"},{"key":"atypb7","volume-title":"Mathematical Biophysics of Cell","author":"G.R. Ivanitsky","year":"1978"},{"key":"atypb8","volume-title":"Multiprocessors and Array Processors, Simulation Series","author":"W.J. Karplus","year":"1987"},{"key":"atypb9","unstructured":"W.J. Karplus , Multiprocessors and Array Processors, Simulation Series Volume 21(1), Society for Computer Simulation (1989)."},{"key":"atypb10","volume-title":"Proceedings of the Ninth IMACS World Congress","author":"B.Y. Kogan"},{"key":"atypb11","first-page":"252","volume":"75","author":"B.F. Madore","year":"1987","journal-title":"American Scientist"},{"issue":"2","key":"atypb12","volume":"67","author":"G. Moe","year":"1964","journal-title":"American Heart Journal"},{"key":"atypb13","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(87)90047-9"},{"key":"atypb14","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(84)90008-3"},{"key":"atypb15","volume":"3","author":"A.A. Petrov","year":"1975","journal-title":"Automation and Remote Control"},{"key":"atypb16","doi-asserted-by":"publisher","DOI":"10.1109\/2.74"}],"container-title":["SIMULATION"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/003754979005500504","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/003754979005500504","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T11:06:29Z","timestamp":1777633589000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.1177\/003754979005500504"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1990,11]]},"references-count":16,"journal-issue":{"issue":"5","published-print":{"date-parts":[[1990,11]]}},"alternative-id":["10.1177\/003754979005500504"],"URL":"https:\/\/doi.org\/10.1177\/003754979005500504","relation":{},"ISSN":["0037-5497","1741-3133"],"issn-type":[{"value":"0037-5497","type":"print"},{"value":"1741-3133","type":"electronic"}],"subject":[],"published":{"date-parts":[[1990,11]]}}}