Diauxic Growth at the Mesoscopic Scale
In the present paper, we study a diauxic growth that can be generated by a class of model at the mesoscopic scale. Although the diauxic growth can be related to the macroscopic scale, similarly to the logistic scale, one may ask whether models on mesoscopic or microscopic scales may lead to such a b...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-11-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/22/11/1280 |
| _version_ | 1797548129182023680 |
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| author | Mirosław Lachowicz Mateusz Dȩbowski |
| author_facet | Mirosław Lachowicz Mateusz Dȩbowski |
| author_sort | Mirosław Lachowicz |
| collection | DOAJ |
| description | In the present paper, we study a diauxic growth that can be generated by a class of model at the mesoscopic scale. Although the diauxic growth can be related to the macroscopic scale, similarly to the logistic scale, one may ask whether models on mesoscopic or microscopic scales may lead to such a behavior. The present paper is the first step towards the developing of the mesoscopic models that lead to a diauxic growth at the macroscopic scale. We propose various nonlinear mesoscopic models conservative or not that lead directly to some diauxic growths. |
| first_indexed | 2024-03-10T14:55:07Z |
| format | Article |
| id | doaj.art-9929bcd7668745d7923f883a84600026 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T14:55:07Z |
| publishDate | 2020-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-9929bcd7668745d7923f883a846000262023-11-20T20:40:53ZengMDPI AGEntropy1099-43002020-11-012211128010.3390/e22111280Diauxic Growth at the Mesoscopic ScaleMirosław Lachowicz0Mateusz Dȩbowski1Institute of Applied Mathematics and Mechanics, Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, ul. Banacha 2, 02-097 Warsaw, PolandInstitute of Applied Mathematics and Mechanics, Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, ul. Banacha 2, 02-097 Warsaw, PolandIn the present paper, we study a diauxic growth that can be generated by a class of model at the mesoscopic scale. Although the diauxic growth can be related to the macroscopic scale, similarly to the logistic scale, one may ask whether models on mesoscopic or microscopic scales may lead to such a behavior. The present paper is the first step towards the developing of the mesoscopic models that lead to a diauxic growth at the macroscopic scale. We propose various nonlinear mesoscopic models conservative or not that lead directly to some diauxic growths.https://www.mdpi.com/1099-4300/22/11/1280diauxic growthreplicator equationmesoscopic modelintegro-differential equations |
| spellingShingle | Mirosław Lachowicz Mateusz Dȩbowski Diauxic Growth at the Mesoscopic Scale Entropy diauxic growth replicator equation mesoscopic model integro-differential equations |
| title | Diauxic Growth at the Mesoscopic Scale |
| title_full | Diauxic Growth at the Mesoscopic Scale |
| title_fullStr | Diauxic Growth at the Mesoscopic Scale |
| title_full_unstemmed | Diauxic Growth at the Mesoscopic Scale |
| title_short | Diauxic Growth at the Mesoscopic Scale |
| title_sort | diauxic growth at the mesoscopic scale |
| topic | diauxic growth replicator equation mesoscopic model integro-differential equations |
| url | https://www.mdpi.com/1099-4300/22/11/1280 |
| work_keys_str_mv | AT mirosławlachowicz diauxicgrowthatthemesoscopicscale AT mateuszdebowski diauxicgrowthatthemesoscopicscale |