A cycle of enzymatic reactions with some properties of neuronal circuits

• Authors: Jan Sielewiesiuk
• Languages of publication: EN

Abstracts

EN

A cycle of four methylation and four demethylation reactions with repression or allosteric inhibition of enzymes is considered. The corresponding dynamical system is characterised by two parameters: the sum of reagent concentrations (C) and the ratio of rate constants of forward and backward reactions (k). In a symmetrical case (k=1) the system has a unique equilibrium. At C>4 the equilibrium is unstable and the system has oscillatory solutions. At k essentially different from 1, the system becomes excitable or behaves as a bistable trigger.

• Publisher: Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
• Journal: Annales Universitatis Mariae Curie-Skłodowska, sectio AAA – Physica
• Year: 2014
• Volume: 69

Dates

published

2014

online

22 - 05 - 2015

Contributors

author

Jan Sielewiesiuk

References

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Identifiers

DOI

10.17951/aaa.2014.69.81