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The stability analysis of brain lactate kinetics

  • * Corresponding author: Jean-Pierre Francoise

    * Corresponding author: Jean-Pierre Francoise 
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  • 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.

    Mathematics Subject Classification: Primary: 34D20; Secondary: 37N25.


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