Unbounded solutions of models for glycolysis

Abstract The Selkov oscillator, a simple description of glycolysis, is system two ordinary differential equations with mass action kinetics. In previous work the authors established several properties solutions this system. present paper we extend to prove that has which diverge infinity in an oscillatory manner at late times. This done help Poincaré compactification and shooting argument. was originally derived from another Michaelis–Menten A latter carried out used show system, like action, monotone manner. It also shown admit subcritical Hopf bifurcations thus unstable periodic solutions. We discuss what extent unbounded cast doubt on biological relevance oscillator compare it other models for same literature.