{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,2]],"date-time":"2025-07-02T04:10:50Z","timestamp":1751429450606,"version":"3.41.0"},"reference-count":0,"publisher":"SAGE Publications","issue":"4","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Fundamenta Informaticae"],"published-print":{"date-parts":[[2013,12]]},"abstract":"<jats:p> In the paper we present a theoretical analysis of extension of the finite automaton built on DNA (introduced by the Shapiro team) to an arbitrary number of states and symbols. In the implementation we use a new idea of several restriction enzymes instead of one. We give arithmetical conditions for the existence of such extensions in terms of ingredients used in the implementation. <\/jats:p>","DOI":"10.3233\/fi-2013-953","type":"journal-article","created":{"date-parts":[[2019,12,3]],"date-time":"2019-12-03T05:41:36Z","timestamp":1575351696000},"page":"463-474","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":4,"title":["Arithmetical Analysis of Biomolecular Finite Automaton"],"prefix":"10.1177","volume":"128","author":[{"given":"Tadeusz","family":"Krasi\u0144ski","sequence":"first","affiliation":[{"name":"Faculty of Mathematics and Computer Science, University of \u0141\u00f3d\u017a, Banacha 22, 90-238 \u0141\u00f3d\u017a, Poland. krasinsk@uni.lodz.pl, sakowski@math.uni.lodz.pl"}]},{"given":"Sebastian","family":"Sakowski","sequence":"additional","affiliation":[{"name":"Faculty of Mathematics and Computer Science, University of \u0141\u00f3d\u017a, Banacha 22, 90-238 \u0141\u00f3d\u017a, Poland. krasinsk@uni.lodz.pl, sakowski@math.uni.lodz.pl"}]},{"given":"Jacek","family":"Waldmajer","sequence":"additional","affiliation":[{"name":"Group of Logic, Language and Information, Department of Philosophy, University of Opole, Katowicka 89, 45-061 Opole, Poland. jwaldmajer@uni.opole.pl"}]},{"given":"Tomasz","family":"Pop\u0142awski","sequence":"additional","affiliation":[{"name":"Department of Molecular Genetic, University of \u0141\u00f3d\u017a, Pomorska 141\/143, 90-236 \u0141\u00f3d\u017a, Poland. tplas@biol.uni.lodz.pl"}]}],"member":"179","published-online":{"date-parts":[[2013,1,1]]},"container-title":["Fundamenta Informaticae"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2013-953","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/FI-2013-953","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,1]],"date-time":"2025-07-01T10:50:31Z","timestamp":1751367031000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/FI-2013-953"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,1,1]]},"references-count":0,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2013,12]]}},"alternative-id":["10.3233\/FI-2013-953"],"URL":"https:\/\/doi.org\/10.3233\/fi-2013-953","relation":{},"ISSN":["0169-2968","1875-8681"],"issn-type":[{"type":"print","value":"0169-2968"},{"type":"electronic","value":"1875-8681"}],"subject":[],"published":{"date-parts":[[2013,1,1]]}}}