Browsing by Author "Desroches, Mathieu"

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Inflection, Canards and Folded Singularities in Excitable Systems: Application to a 3D FitzHugh–Nagumo Model

Uria Albizuri, Jone; Desroches, Mathieu; Krupa, Martin; Rodrigues, Serafim (Springer, 2020-09-07)

Specific kinds of physical and biological systems exhibit complex Mixed-Mode Oscillations mediated by folded-singularity canards in the context of slow-fast models. The present manuscript revisits these systems, specifically ...
Metastable Resting State Brain Dynamics

Beim Graben, Peter; Jiménez Marín, Antonio; Díez Palacio, Ibai; Cortés Díaz, Jesús María; Desroches, Mathieu; Rodrigues, Serafim (Frontiers Media, 2019-09)

Metastability refers to the fact that the state of a dynamical system spends a large amount of time in a restricted region of its available phase space before a transition takes place, bringing the system into another state ...
On the Dynamics of the Adenylate Energy System: Homeorhesis vs Homeostasis

Martínez de la Fuente Martínez, Ildefonso Abel; Cortés Díaz, Jesús María; Valero, Edelmira; Desroches, Mathieu; Rodrigues, Serafim; Malaina Celada, Iker ; Martínez Fernández, Luis (Public Library Science, 2014-10-10)

Biochemical energy is the fundamental element that maintains both the adequate turnover of the biomolecular structures and the functional metabolic viability of unicellular organisms. The levels of ATP, ADP and AMP reflect ...