{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,12]],"date-time":"2026-03-12T18:28:14Z","timestamp":1773340094991,"version":"3.50.1"},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2024,4,25]],"date-time":"2024-04-25T00:00:00Z","timestamp":1714003200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2024,4,25]],"date-time":"2024-04-25T00:00:00Z","timestamp":1714003200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/100009042","name":"Universidad de Sevilla","doi-asserted-by":"crossref","id":[{"id":"10.13039\/100009042","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Membr Comput"],"published-print":{"date-parts":[[2024,6]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>PDP systems have been widely used for real-life applications, such as systems biology, ecosystems, physics or economy, among others. Complex systems related with these areas are simulated in the framework of Membrane Computing using objects and membranes that can represent entities or places in the real-life process. In physics, the study of a particle in different fluids, depending on their composition, is really interesting for several applications. A first approximation to this field is to think that particles move randomly in the available space, without any force that constrains their movements. This behavior is known as random walk, and it is used not only in physics but in economics, genetics, and ecology among other areas. In this paper, we introduce generic PDP systems for simulating the behavior of particles, both for one-dimensional spaces and for two-dimensional spaces, using different simulators to analyze the computational resources consumed.<\/jats:p>","DOI":"10.1007\/s41965-024-00146-z","type":"journal-article","created":{"date-parts":[[2024,4,25]],"date-time":"2024-04-25T16:07:55Z","timestamp":1714061275000},"page":"94-100","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Random walk simulation by population dynamics P systems"],"prefix":"10.1007","volume":"6","author":[{"given":"David","family":"Orellana-Mart\u00edn","sequence":"first","affiliation":[]},{"given":"Jos\u00e9 A.","family":"Andreu-Guzm\u00e1n","sequence":"additional","affiliation":[]},{"given":"Carmen","family":"Graciani","sequence":"additional","affiliation":[]},{"given":"Agust\u00edn","family":"Riscos-N\u00fa\u00f1ez","sequence":"additional","affiliation":[]},{"given":"Mario J.","family":"P\u00e9rez-Jim\u00e9nez","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,4,25]]},"reference":[{"key":"146_CR1","unstructured":"Arazo, M., Barroso, M., De la Torre, O., Moreno, L., Ribes, A., Ribes, P., Ventura, A., & Orellana-Mart\u00edn, D. (2016). Stern-Gerlach Experiment. Proceedings of the Fourteenth Brainstorming Week on Membrane Computing, February 1 - 5, Sevilla, Spain, 101-112."},{"key":"146_CR2","unstructured":"Arazo, M., Barroso, M., De la Torre, O., Moreno, L., Ribes, A., Ribes, P., Ventura, A., & Orellana-Mart\u00edn, D. (2016). Uranium-238 decay chain. Proceedings of the Fourteenth Brainstorming Week on Membrane Computing, February 1 - 5, Sevilla, Spain, 113-130."},{"issue":"1","key":"146_CR3","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1007\/s11047-010-9191-3","volume":"10","author":"M Cardona","year":"2011","unstructured":"Cardona, M., Colomer, M. \u00c0., Margalida, A., Palau, A., P\u00e9rez-Hurtado, I., P\u00e9rez-Jim\u00e9nez, M. J., & Sanuy, D. (2011). A computational modeling for real ecosystems based on P systems. Natural Computing, 10(1), 39\u201353.","journal-title":"Natural Computing"},{"key":"146_CR4","doi-asserted-by":"publisher","first-page":"146","DOI":"10.1016\/j.tcs.2015.12.006","volume":"623","author":"X Chen","year":"2016","unstructured":"Chen, X., P\u00e9rez-Jim\u00e9nez, M. J., Valencia-Cabrera, L., Wang, B., & Zeng, X. (2016). Computing with viruses. Theoretical Computer Science, 623, 146\u2013159.","journal-title":"Theoretical Computer Science"},{"key":"146_CR5","unstructured":"Colomer, M.\u00c0., Lav\u00edn, S., Marco, I., Margalida, A., P\u00e9rez-Hurtado, I., P\u00e9rez-Jim\u00e9nez, M.J., Sanuy, D., Serrano, E., & Valencia-Cabrera, L. (2010). Modeling population growth of Pyrenean Chamois (Rupicapra p. pyrenaica) by using P systems. Membrane Computing, 11th International Conference, CMC 2010, Jena, Germany, August 24-27, 2010, Revised Selected Papers. Lecture Notes in Computer Science, 6501 (2011), 144-159. A preliminary version in Proceedings of the Eleventh International Conference on Membrane Computing, Jena, Germany, 24-27 August Verlag ProBusiness Berlin, 2010, ISBN 978-3-86805-721-8, pp. 121-135."},{"issue":"4","key":"146_CR6","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0060698","volume":"8","author":"M\u00c0 Colomer","year":"2013","unstructured":"Colomer, M. \u00c0., Margalida, A., & P\u00e9rez-Jim\u00e9nez, M. J. (2013). Population dynamics P dystem (PDP) models: a standardized protocol for describing and applying novel bio-inspired computing tools. PLOS ONE, 8(4), e60698.","journal-title":"PLOS ONE"},{"issue":"1","key":"146_CR7","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1016\/j.ecolmodel.2010.09.012","volume":"222","author":"M\u00c0 Colomer","year":"2011","unstructured":"Colomer, M. \u00c0., Margalida, A., Sanuy, D., & P\u00e9rez-Jim\u00e9nez, M. J. (2011). A bio-inspired computing model as a new tool for modeling ecosystems: the avian scavengers as a case study. Ecol Model, 222(1), 33\u201347.","journal-title":"Ecol Model"},{"key":"146_CR8","doi-asserted-by":"publisher","first-page":"116","DOI":"10.1016\/j.ecocom.2014.09.006","volume":"20","author":"M\u00c0 Colomer","year":"2014","unstructured":"Colomer, M. \u00c0., Margalida, A., Valencia, L., & Palau, A. (2014). Application of a computational model for complex fluvial ecosystems: the population dynamics of zebra mussel Dreissena polymorpha as a case study. Ecol Complexity, 20, 116\u2013126.","journal-title":"Ecol Complexity"},{"key":"146_CR9","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-03191-0","volume-title":"Applications of Membrane Computing in Systems and Synthetic Biology","author":"P Frisco","year":"2014","unstructured":"Frisco, P., Gheorghe, M., & P\u00e9rez-Jim\u00e9nez, M. J. (2014). Applications of Membrane Computing in Systems and Synthetic Biology. Complexity and Computation Series: Emergence."},{"key":"146_CR10","unstructured":"Mart\u00ednez, M.\u00c1., P\u00e9rez-Hurtado, I., Garc\u00eda-Quismondo, M., Mac\u00edas-Ramos, L.F., Valencia-Cabrera, L., Romero-Jim\u00e9nez, \u00c1., Graciani, C., Riscos-N\u00fa\u00f1ez, A., \u00c0. Colomer, M., & P\u00e9rez-Jim\u00e9nez, M.J. (2012). DCBA: Simulating population dynamics P systems with proportional objects distribution. Membrane Computing, 13th International Conference, CMC 2012 Budapest, Hungary, August 28-31, 2012, Revised Selected Papers. Lecture Notes in Computer Science, 7762 (2013), 257-276. A preliminary version in Proceedings of the 13th International Conference on Membrane Computing, Budapest, Hungary, August 28-31, pp. 291-310."},{"key":"146_CR11","doi-asserted-by":"crossref","unstructured":"Pan, L., P\u0103un, Gh., P\u00e9rez-Jim\u00e9nez, M. J., & Song, T. (2014). Bio-inspired Computing: Theories and Applications. Communications in Computer and Information Science Series","DOI":"10.1007\/978-3-662-45049-9"},{"key":"146_CR12","doi-asserted-by":"crossref","unstructured":"P\u0103un, Gh. (1998). Computing with membranes. Journal of Computer and System Sciences, 61, 1 (2000), 108-143, and Turku Center for CS-TUCS Report No. 208","DOI":"10.1006\/jcss.1999.1693"},{"key":"146_CR13","doi-asserted-by":"crossref","unstructured":"P\u0103un, Gh. (2002). Membrane Computing: An introduction. Springer Natural Computing Series","DOI":"10.1007\/978-3-642-56196-2"},{"key":"146_CR14","volume-title":"The Oxford Handbook of Membrane Computing","author":"Gh P\u0103un","year":"2009","unstructured":"P\u0103un, Gh., Rozenberg, G., & Salomaa, A. (2009). The Oxford Handbook of Membrane Computing. Oxford, U.K.: Oxford University Press."},{"key":"146_CR15","unstructured":"Ram\u00edrez-de-Arellano, A., Rodr\u00edguez-Gallego, J.A., Orellana-Mart\u00edn, D., & Ivanov, S. (2023). Stochastic Virus Machines. Proceedings of the Nineteenth Brainstorming Week on Membrane Computing, January 24 - 27, Sevilla, Spain, 79-90."},{"key":"146_CR16","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-55989-6","volume-title":"Real-life applications with Membrane Computing","author":"G Zhang","year":"2017","unstructured":"Zhang, G., P\u00e9rez-Jim\u00e9nez, M. J., & Gheorghe, M. (2017). Real-life applications with Membrane Computing. Complexity and Computation Series: Emergence."},{"key":"146_CR17","unstructured":"P-Lingua website. http:\/\/www.p-lingua.org\/wiki\/index.php\/Main_Page"},{"key":"146_CR18","unstructured":"MeCoSim website. http:\/\/www.p-lingua.org\/mecosim\/"},{"key":"146_CR19","unstructured":"PMCGPU project. https:\/\/sourceforge.net\/projects\/pmcgpu\/"},{"key":"146_CR20","unstructured":"Virus machines software repository. https:\/\/github.com\/RGNC\/virusmachines"}],"container-title":["Journal of Membrane Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s41965-024-00146-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s41965-024-00146-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s41965-024-00146-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,3]],"date-time":"2024-06-03T08:09:15Z","timestamp":1717402155000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s41965-024-00146-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,4,25]]},"references-count":20,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2024,6]]}},"alternative-id":["146"],"URL":"https:\/\/doi.org\/10.1007\/s41965-024-00146-z","relation":{},"ISSN":["2523-8906","2523-8914"],"issn-type":[{"value":"2523-8906","type":"print"},{"value":"2523-8914","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,4,25]]},"assertion":[{"value":"7 December 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 March 2024","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"25 April 2024","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}