Dynamic behavior classification of a model for a continuous bio-reactor subject to product inhibition

The dynamic behavior of the continuous biological reactor subject to product inhibition is analysed and classified in terms of multiplicity and stability of steady states and existence and stability character of limit cycles. Various boundary conditions are derived which delineate the parameter spac...

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Bibliographic Details
Published inMathematical and computer modelling Vol. 19; no. 12; pp. 107 - 117
Main Authors Lenbury, Y., Novaprateep, B., Wiwatpataphee, B.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.06.1994
Elsevier Science
Subjects
Biological and medical sciences
Exact sciences and technology
Fundamental and applied biological sciences. Psychology
General aspects
General theory and mathematical aspects
Mathematical methods in physics
Molecular biophysics
Numerical approximation and analysis
Ordinary and partial differential equations, boundary value problems
Physics
Numerical method
Product inhibition
Bioreactors
Differential equations
Equation system
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Summary:The dynamic behavior of the continuous biological reactor subject to product inhibition is analysed and classified in terms of multiplicity and stability of steady states and existence and stability character of limit cycles. Various boundary conditions are derived which delineate the parameter space into regions of dynamically different behavior. The predicted types of behavior are then illustrated by numerical computation of cells and product concentration trajectories.
ISSN:0895-7177
1872-9479
DOI:10.1016/0895-7177(94)90102-3