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Hemijska Industrija 2012
Model of the nonlinear reaction system with autocatalysis and autoinhibition: Stability of dynamic statesKeywords: Nonlinear dynamics , stoichiometric network analysis , autocatalysis , HPA system , Andronov-Hopf bifurcation Abstract: Self-regulation, achieved through positive (autocatalytic) or negative (autoinhibitory) feedback is commonly encountered in natural, technological and economic systems. The dynamic behavior of such systems is often complex and cannot be easily predicted, necessitating mathematical modelling and theoretical analyses. The aim of this work is to analyze the dynamics of a minimal model system with autocatalytic and autoinhibitory steps coupled through the same species, in order to understand under which critical condition the system loses stability and passes through an Andronov-Hopf bifurcation. The analysis used was improved stoichiometric network analysis (SNA) in combination with bifurcation and sensitivity analysis.
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