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On Geometry and Scale of a Stochastic Chemostat

descriptionPublicationkeyboard_double_arrow_right Article , Journal 18 Aug 2013 France Publisher:Informa UK LimitedJournal:Communications in Statistics - Theory and Methods, volume 42, pages 2,902-2,911 (issn: 0361-0926, eissn: 1532-415X, Copyright policy )
Authors: Joannides, Marc; Larramendy-Valverde, Irène;

doi: 10.1080/03610926.2012.746983

On Geometry and Scale of a Stochastic Chemostat

Abstract

A chemostat is a fixed volume bioreactor in which micro--organisms are grown in a continuously renewed liquid medium. We propose a stochastic model for the evolution of the concentrations in the single species and single substrate case. It is obtained as a diffusion approximation of a pure jump Markov process, whose increments are comparable in mean with the deterministic model. A specific time scale, is considered for each source of variation. The geometric structure of the problem, usable by identification procedures, is preserved both in the drift and diffusion term. We study the properties of this model by numerical experiments.

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France
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Keywords

[MATH.MATH-PR] Mathematics/Probability, [MATH.MATH-PR] Mathematics [math]/Probability [math.PR], [SDV.BIO]Life Sciences [q-bio]/Biotechnology, MATH_PR] Mathematics/Probability [[MATH], INFO_BT] Computer Science/Biotechnology [[INFO], MATH_PR] Mathématiques/Probabilités [[MATH], [SDV.BIO] Life Sciences/Biotechnology, BIO] Sciences du Vivant/Biotechnologies [[SDV], BIO] Life Sciences/Biotechnology [[SDV], [SDV.BIO] Life Sciences [q-bio]/Biotechnology, [MATH.MATH-PR]Mathematics [math]/Probability [math.PR], INFO_BT] Informatique/Biotechnologie [[INFO], [INFO.INFO-BT] Computer Science [cs]/Biotechnology, [INFO.INFO-BT] Computer Science/Biotechnology, [INFO.INFO-BT]Computer Science [cs]/Biotechnology

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
Green
bronze