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Astrophysics and Astronomy

Georgia State University

2011

Co-existence

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Mechanisms Of Multistability In Neuronal Models, Tatiana Malashchenko May 2011

Mechanisms Of Multistability In Neuronal Models, Tatiana Malashchenko

Physics and Astronomy Dissertations

Multistability is a fundamental attribute of the dynamics of neuronal systems under normal and pathological conditions. The mechanism of bistability of bursting and silence is not well understood and to our knowledge has not been experimentally recorded in single neurons. We considered four models. Two of them described the dynamics of a leech heart interneuron: the canonical model and a low-dimensional model. The other two models described mammalian pacemakers from the respiratory center.

We investigated the low-dimensional model and identified six different types of multistability of dynamical regimes. We described six generic mechanisms underlying the co-existence of oscillatory and silent …