{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,13]],"date-time":"2026-03-13T13:55:21Z","timestamp":1773410121115,"version":"3.50.1"},"reference-count":21,"publisher":"Elsevier BV","issue":"7","license":[{"start":{"date-parts":[[2009,10,1]],"date-time":"2009-10-01T00:00:00Z","timestamp":1254355200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,10,3]],"date-time":"2013-10-03T00:00:00Z","timestamp":1380758400000},"content-version":"vor","delay-in-days":1463,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computers &amp; Mathematics with Applications"],"published-print":{"date-parts":[[2009,10]]},"DOI":"10.1016\/j.camwa.2009.05.024","type":"journal-article","created":{"date-parts":[[2009,8,4]],"date-time":"2009-08-04T09:13:49Z","timestamp":1249377229000},"page":"1360-1369","source":"Crossref","is-referenced-by-count":9,"title":["The differential equation counterpart of an individual-based model for yeast population growth"],"prefix":"10.1016","volume":"58","author":[{"given":"Pablo","family":"G\u00f3mez-Mourelo","sequence":"first","affiliation":[]},{"given":"Marta","family":"Ginovart","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.camwa.2009.05.024_b1","series-title":"Spatial Ecology via Reaction\u2013Diffusion Equations","author":"Cantrell","year":"2003"},{"key":"10.1016\/j.camwa.2009.05.024_b2","series-title":"Spatiotemporal Models of Population and Community Dynamics","author":"Cz\u00e1r\u00e1n","year":"1998"},{"key":"10.1016\/j.camwa.2009.05.024_b3","series-title":"Modelling Biological Systems: Principles and Applications","author":"Haefner","year":"1996"},{"key":"10.1016\/j.camwa.2009.05.024_b4","series-title":"Diffusion and Ecological Problems: Mathematical Models","author":"Okubo","year":"1980"},{"key":"10.1016\/j.camwa.2009.05.024_b5","series-title":"Individual-Based Models and Approaches in Ecology: Populations, Communities and Ecosystems","year":"1992"},{"key":"10.1016\/j.camwa.2009.05.024_b6","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1007\/s10867-008-9082-3","article-title":"Individual-based modelling: An essential tool for microbiology","volume":"34","author":"Ferrer","year":"2008","journal-title":"J. Biol. Phys."},{"key":"10.1016\/j.camwa.2009.05.024_b7","series-title":"Individual-Based Modeling and Ecology","author":"Grimm","year":"2005"},{"key":"10.1016\/j.camwa.2009.05.024_b8","series-title":"Communicating Current Research and Educational Topics and Trends in Applied Microbiology","first-page":"401","article-title":"INDISIM-YEAST, an individual-based model to study yeast population in batch cultures","author":"Ginovart","year":"2007"},{"key":"10.1016\/j.camwa.2009.05.024_b9","doi-asserted-by":"crossref","first-page":"1441","DOI":"10.1016\/j.camwa.2007.08.003","article-title":"Equivalent partial differential equations of a lattice Boltzmann scheme","volume":"55","author":"Dubois","year":"2008","journal-title":"Comput. Math. Appl."},{"key":"10.1016\/j.camwa.2009.05.024_b10","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1006\/jtbi.2001.2466","article-title":"INDISIM, an individual based discrete simulation model to study bacterial cultures","volume":"214","author":"Ginovart","year":"2002","journal-title":"J. Theor. Biol."},{"key":"10.1016\/j.camwa.2009.05.024_b11","doi-asserted-by":"crossref","first-page":"415","DOI":"10.1016\/S0168-1605(01)00668-7","article-title":"Simulation modelling of bacterial growth in yoghurt","volume":"73","author":"Ginovart","year":"2002","journal-title":"Int. J. Food Microbiol."},{"key":"10.1016\/j.camwa.2009.05.024_b12","doi-asserted-by":"crossref","first-page":"604","DOI":"10.1016\/S0378-4371(01)00581-7","article-title":"Individual based simulations of bacterial growth on agar plates","volume":"305","author":"Ginovart","year":"2002","journal-title":"Physica A"},{"key":"10.1016\/j.camwa.2009.05.024_b13","doi-asserted-by":"crossref","first-page":"1282","DOI":"10.1128\/JB.156.3.1282-1291.1983","article-title":"Structural heterogeneity in populations of the budding yeast","volume":"156","author":"Vanoni","year":"1983","journal-title":"J. Bacteriol."},{"key":"10.1016\/j.camwa.2009.05.024_b14","series-title":"Yeast Physiology and Biotechnology","author":"Walker","year":"1998"},{"key":"10.1016\/j.camwa.2009.05.024_b15","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1137\/S0036139998342065","article-title":"Derivation of chemotaxis-equations as limit dynamics of moderately interacting stochastic many particle systems","volume":"1","author":"Stevens","year":"2000","journal-title":"SIAM J. Appl. Math. 61"},{"key":"10.1016\/j.camwa.2009.05.024_b16","series-title":"Stochastic Differential Equations","author":"Oksendal","year":"2003"},{"key":"10.1016\/j.camwa.2009.05.024_b17","series-title":"Stochastic Differential Equations: Theory and Applications","author":"Arnold","year":"1974"},{"key":"10.1016\/j.camwa.2009.05.024_b18","series-title":"Introduction to the Theory of Random Processes","author":"Gikhman","year":"1969"},{"key":"10.1016\/j.camwa.2009.05.024_b19","series-title":"Stochastic Differential Equations and Systems of Interacting Particles","first-page":"133","author":"Capasso","year":"2000"},{"key":"10.1016\/j.camwa.2009.05.024_b20","doi-asserted-by":"crossref","first-page":"565","DOI":"10.1007\/BF00341284","article-title":"On the derivation of reaction\u2013diffusion equations as limit dynamics of systems of moderately interacting stochastic many particle processes","volume":"82","author":"Oelschlaeger","year":"1989","journal-title":"Probab. Theory Related Fields"},{"key":"10.1016\/j.camwa.2009.05.024_b21","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1016\/j.ecolmodel.2005.05.014","article-title":"From individual-based models to partial differential equations. An application to the upstream movement of elvers","volume":"1","author":"G\u00f3mez-Mourelo","year":"2005","journal-title":"Ecol. Model. 188"}],"container-title":["Computers &amp; Mathematics with Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0898122109005008?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0898122109005008?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2020,5,21]],"date-time":"2020-05-21T05:01:38Z","timestamp":1590037298000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0898122109005008"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,10]]},"references-count":21,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2009,10]]}},"alternative-id":["S0898122109005008"],"URL":"https:\/\/doi.org\/10.1016\/j.camwa.2009.05.024","relation":{},"ISSN":["0898-1221"],"issn-type":[{"value":"0898-1221","type":"print"}],"subject":[],"published":{"date-parts":[[2009,10]]}}}