Analysis of a mathematical model for brain lactate kinetics

  • Received: 20 October 2017 Revised: 27 January 2018 Published: 01 October 2018
  • MSC : 34A34, 35B09, 35Q92

  • The aim of this article is to study the well-posedness and properties of a fast-slow system which is related with brain lactate kinetics. In particular, we prove the existence and uniqueness of nonnegative solutions and obtain linear stability results. We also give numerical simulations with different values of the small parameter $\varepsilon$ and compare them with experimental data.

    Citation: Carole Guillevin, Rémy Guillevin, Alain Miranville, Angélique Perrillat-Mercerot. Analysis of a mathematical model for brain lactate kinetics[J]. Mathematical Biosciences and Engineering, 2018, 15(5): 1225-1242. doi: 10.3934/mbe.2018056

    Related Papers:

  • The aim of this article is to study the well-posedness and properties of a fast-slow system which is related with brain lactate kinetics. In particular, we prove the existence and uniqueness of nonnegative solutions and obtain linear stability results. We also give numerical simulations with different values of the small parameter $\varepsilon$ and compare them with experimental data.


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