Multiplicity and stability analysis of continuous pre-fermentation of cheese culture

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Title
Multiplicity and stability analysis of continuous pre-fermentation of cheese culture
Author(s)
Jung Heon Lee; H C Lim
Bibliographic Citation
Process Biochemistry, vol. 34, no. 5, pp. 467-475
Publication Year
1999
Abstract
Unlike the usual multiplicity of steady states in continuous stirred- tank bioreactors caused by the non-monotonicity of substrate dependent rate expression(s), this paper described a different multiplicity caused by the effect of [H+]. The multiplicity of the bioreactor for cheese pre- fermentation is also described in this paper. Phase plane analysis shows clearly the separatrix that separates the zone of stable steady state from that of unstable steady state. The steady state becomes unique and elimination of multiplicity by supplying a seed stream, which also guarantees stability. Stability analysis of the multiple steady state shows that unlike the usual necessary condition (δμ/δS > 0), this process stability demands the opposite necessary condition (δμ/δ[H+] < 0).
Keyword
separatixCstrcheese culturemultiplicitystability
ISSN
0032-9592
Publisher
Elsevier
DOI
http://dx.doi.org/10.1016/S0032-9592(98)00113-7
Type
Article
Appears in Collections:
1. Journal Articles > Journal Articles
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