Zobrazeno 1 - 10
of 210
pro vyhledávání: '"Alain Rapaport"'
Study of the chemostat model with non-monotonic growth under random disturbances on the removal rate
Publikováno v:
Mathematical Biosciences and Engineering, Vol 17, Iss 6, Pp 7480-7501 (2020)
We revisit the chemostat model with Haldane growth function, here subject to bounded random disturbances on the input flow rate, as often met in biotechnological or waste-water industry. We prove existence and uniqueness of global positive solution o
Externí odkaz:
https://doaj.org/article/2191d378208149689faa5c847b2a001c
Publikováno v:
Mathematical Biosciences and Engineering, Vol 17, Iss 6, Pp 6278-6309 (2020)
This paper deals with thorough analysis of serial configurations of two chemostats. We establish an in-depth mathematical study of all possible steady states, and we compare the performances of the two serial interconnected chemostats with the perfor
Externí odkaz:
https://doaj.org/article/ec395e0bddd14efdafae21e9d7637204
Publikováno v:
Electronic Journal of Differential Equations, Vol 2019, Iss 84,, Pp 1-26 (2019)
In this work, we study the shape optimization of a continuous bioreactor in which a substrate is degraded by a microbial ecosystem in a nonhomogeneous environment. The bioreactor considered here is a three-dimensional vertically oriented cylindrica
Externí odkaz:
https://doaj.org/article/438a244a14434e498b52415ad47f7e6f
Publikováno v:
Foods, Vol 11, Iss 12, p 1682 (2022)
We show that a simple model with a maintenance term can satisfactorily reproduce the simulations of several existing models of wine fermentation from the literature, as well as experimental data. The maintenance describes a consumption of the nitroge
Externí odkaz:
https://doaj.org/article/0168d87511da46af8a9031f4bf949cd7
Publikováno v:
Electronic Journal of Differential Equations, Vol Conference, Iss 15, Pp 211-220 (2007)
In a recent work Cantrell, Cosner and Ruan show that intraspecific interference is responsible for coexistence of many consumers for one resource with a logistic like growth rate. Recently, we have established a similar result for the case of a chemo
Externí odkaz:
https://doaj.org/article/05f65102c0034609aad600c98831a0d0
Publikováno v:
Journal of Process Control. 122:49-58
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5e55de1b2a87f65c71633e55e5b6d171
https://doi.org/10.1016/j.jprocont.2022.12.008
https://doi.org/10.1016/j.jprocont.2022.12.008
Publikováno v:
IEEE Transactions on Automatic Control. 67:6912-6917
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::923b37c339a2d5aa2865d24104821aee
https://doi.org/10.1109/tac.2022.3142122
https://doi.org/10.1109/tac.2022.3142122
Publikováno v:
Journal of Process Control. 118:165-169
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9a56a19af5fa69672481f79d233d185d
https://doi.org/10.1016/j.jprocont.2022.08.018
https://doi.org/10.1016/j.jprocont.2022.08.018
Autor:
Thomas Guilmeau, Alain Rapaport
Publikováno v:
Journal of Optimization Theory and Applications. 195:548-574
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1004f1e8a0dcd1636b89d297473bc802
https://doi.org/10.1007/s10957-022-02095-y
https://doi.org/10.1007/s10957-022-02095-y
Publikováno v:
IEEE Transactions on Automatic Control, Vol. 67, no. 9, p. 4932-4938 (2022)
We optimize a general model of bioprocesses, which is nonconvex due to the microbial growth in the biochemical reactors. We formulate a convex relaxation and give conditions guaranteeing its exactness in both the transient and steady state cases. Whe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d59c9bc437b2381a9b28107560c1b07
https://doi.org/10.1109/tac.2022.3167310
https://doi.org/10.1109/tac.2022.3167310