Unbounded solutions of models for glycolysis

@article{Brechmann2020UnboundedSO,
title={Unbounded solutions of models for glycolysis},
author={Pia Brechmann and Alan D. Rendall},
journal={Journal of Mathematical Biology},
year={2020},
volume={82}
}
• Published 16 March 2020
• Mathematics
• Journal of Mathematical Biology
The Selkov oscillator, a simple description of glycolysis, is a system of two ordinary differential equations with mass action kinetics. In previous work the authors established several properties of the solutions of this system. In the present paper we extend this to prove that this system has solutions which diverge to infinity in an oscillatory manner at late times. This is done with the help of a Poincaré compactification of the system and a shooting argument. This system was originally…
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