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Article Dans Une Revue Discrete and Continuous Dynamical Systems - Series S Année : 2020

THE STABILITY ANALYSIS OF BRAIN LACTATE KINETICS

Résumé

Our aim in this article is to study properties of a generalized dy-namical 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.
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Dates et versions

hal-02648587 , version 1 (29-05-2020)

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Jean-Pierre Françoise, Hongjun Ji. THE STABILITY ANALYSIS OF BRAIN LACTATE KINETICS. Discrete and Continuous Dynamical Systems - Series S, 2020, 13 (8), pp.2135 - 2143. ⟨10.3934/dcdss.2020182⟩. ⟨hal-02648587⟩
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