Linked Life Data

19135457

Source:http://linkedlifedata.com/resource/pubmed/id/19135457

Statements in which the resource exists as a subject.
PredicateObject
rdf:type
lifeskim:mentions
pubmed:issue
2
pubmed:dateCreated
2009-2-27
pubmed:abstractText
In this paper, a mathematical model for the lactic acid fermentation in membrane bioreactor is investigated. This novel theoretical framework could result in an objective criterion on how to control the substrate concentration in order to keep a sustainable and steady output of lactic acid. Firstly, continuous input substrate is taken. The existence and local stability of two equilibria are studied. According to Poincaré-Bendixson Theorem, we obtain the conditions for the globally asymptotical stability of the equilibrium. Secondly, impulsive input substrate is also considered. Using Floquet's theorem and small-amplitude perturbation, we obtain the biomass-free periodic solution is locally stable if some conditions are satisfied. In a certain limiting case, it is shown that a nontrivial periodic solution emerges via a supercritical bifurcation. Finally, our findings are confirmed by means of numerical simulations.
pubmed:language
eng
pubmed:journal
pubmed:citationSubset
IM
pubmed:chemical
pubmed:status
MEDLINE
pubmed:month
Mar
pubmed:issn
1095-8541
pubmed:author
pubmed:issnType
Electronic
pubmed:day
21
pubmed:volume
257
pubmed:owner
NLM
pubmed:authorsComplete
Y
pubmed:pagination
270-8
pubmed:meshHeading
pubmed:year
2009
pubmed:articleTitle
Dynamic analysis of lactic acid fermentation in membrane bioreactor.
pubmed:affiliation
Department of Mathematics, Huanghuai University, Henan, PR China. zhaozhong8899@163.com
pubmed:publicationType
Journal Article, Research Support, Non-U.S. Gov't