Designing an enzymatic oscillator: bistability and feedback controlled oscillations with glucose oxidase in a continuous flow stirred tank reactor |
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Authors: | Vanag Vladimir K Míguez David G Epstein Irving R |
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Institution: | Department of Chemistry, MS 015, Brandeis University, Waltham, Massachusetts 02454, USA. vanag@brandeis.edu |
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Abstract: | The reaction of glucose with ferricyanide catalyzed by glucose oxidase from Aspergillus niger gives rise to a wide range of bistability as the flow rate is varied in a continuous flow stirred tank reactor. Oscillations in pH can be obtained by introducing a negative feedback on the autocatalytic production of H+ that drives the bistability. In our experiments, this feedback consists of an inflow of hydroxide ion at a rate that depends on H+] in the reactor as k0OH-]0H+]/(K+H+]). pH oscillations are found over a broad range of enzyme and ferricyanide concentrations, residence times (k0 (-1)), and feedback parameters. A simple mathematical model quantitatively accounts for the experimentally found oscillations. |
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