Abstract
A four-dimensional mass action kinetic model of the synaptic slow waves has previously been investigated by numerical methods. Here, a slightly simplified version of the model is shown to produce Andronov-Hopf bifurcation at certain values of the reaction rate constants. It turns out that the model leads to a unique stable limit cycle within each simplex corresponding to a fixed value of total mass.
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This work started when J.T. was visiting the KWIM, Berlin, within the framework of an agreement between the Academies of Sciences of the GDR and Hungary.
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Schneider, K.R., Wegner, B. & Tóth, J. Qualitative analysis of a model for synaptic slow waves. J Math Chem 1, 219–234 (1987). https://doi.org/10.1007/BF01205668
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DOI: https://doi.org/10.1007/BF01205668