Qualitative analysis of a model generating long potential waves in Ba-treated nerve cells—I. Reduced systems
This study is related to a model describing the behavior of barium-treatedAplysia neurons generating regular burst-plateau patterns. The model is represented by an autonomous dynamical system, defined inR 4 and depending on a small parameter. This paper is restricted to the qualitative study of three “reduced systems” deduced from the “complete system”. Part of the study is performed with the use of the qualitative theory of singular perturbations. The predicted behaviors are compared with experimental results.
KeywordsPeriodic Solution Singular Point Outward Current Potential Wave Slow Manifold
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