Abstract
Our aim in this article is to study properties of a generalized dynamical system modeling brain lactate kinetics, with N neuron compartments and A astrocyte compartments. In particular, we prove the uniqueness of the stationary point and its asymptotic stability. Furthermore, we check that the system is positive and cooperative.
The first author is very grateful to the CRM, the Dynamical System group of UAB and the organizing committee of the Murphys conference for their invitation and financial support.
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Françoise, JP., Ji, H. (2019). Cooperativity in Neurons–Astrocytes Coupled Dynamics. In: Korobeinikov, A., Caubergh, M., Lázaro, T., Sardanyés, J. (eds) Extended Abstracts Spring 2018. Trends in Mathematics(), vol 11. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-25261-8_23
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DOI: https://doi.org/10.1007/978-3-030-25261-8_23
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