Bistability and Chaos Emergence in Spontaneous Dynamics of Astrocytic Calcium Concentration

Evgeniya V. Pankratova, Maria S. Sinitsina, Susanna Gordleeva and Victor B. Kazantsev
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Evgeniya V. Pankratova: Lobachevsky State University of Nizhni Novgorod, 603950 Nizhny Novgorod, Russia
Maria S. Sinitsina: Lobachevsky State University of Nizhni Novgorod, 603950 Nizhny Novgorod, Russia
Susanna Gordleeva: Lobachevsky State University of Nizhni Novgorod, 603950 Nizhny Novgorod, Russia
Victor B. Kazantsev: Lobachevsky State University of Nizhni Novgorod, 603950 Nizhny Novgorod, Russia

Mathematics, 2022, vol. 10, issue 8, 1-20

Abstract: In this work, we consider a mathematical model describing spontaneous calcium signaling in astrocytes. Based on biologically relevant principles, this model simulates experimentally observed calcium oscillations and can predict the emergence of complicated dynamics. Using analytical and numerical analysis, various attracting sets were found and investigated. Employing bifurcation theory analysis, we examined steady state solutions, bistability, simple and complicated periodic limit cycles and also chaotic attractors. We found that astrocytes possess a variety of complex dynamical modes, including chaos and multistability, that can further provide different modulations of neuronal circuits, enhancing their plasticity and flexibility.

Keywords: spontaneous calcium oscillation in astrocytes; mixed-mode oscillations; bistability; chaos (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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