Nonlinear time-series approaches in characterizing mood stability and mood instability in bipolar disorder

Mood instability and functional recovery in bipolar disorders

“…MIF quantifies every change in mood, including those occurring during subclinical episodes or representing a return to euthymia. In our opinion, MIF depicts an improved and more realistic way of presenting this clinical feature, which has been previously described in remitted patients (23,24). Socio-occupational functioning is not only determined by current status but also by a series of behaviours and skills.…”

“…First, mood instability (MI), rather than mood episodes might be the core feature of BD. According to objective and self-reported observations, after achieving control of an episode many patients continue to experience daily or weekly subsyndromal mood swings (23). MI is significantly more prevalent in euthymic BD patients than in control subjects (24).…”

“…Nonetheless, even if understanding of MI is critical when it comes to developing cognitive neuroscience-based treatments for BD, measures designed to assess this clinical dimension are ignored in current nomenclature (28). Recently, a number of new mathematical approaches have been proposed to assess MI in BD (23,29,30). These promising approaches have confirmed MI as a core feature of BD, yet some aspects of these proposals limit their application.…”

L’erreur est humaine ? Intérêt des modèles chaotiques dans l’étude des troubles psychiatriques de l’adulte et du développement de l’enfant

“…Compte tenu du rôle que joueraient ces rythmes dans l'adaptation au milieu, il a été proposé que plusieurs troubles psychiatriques se caractérisent par une disparition de ces fluctuations au profit de rythmes plus organisés [4,5].…”

Mathematical Modeling Suggests That Periodontitis Behaves as a Non‐Linear Chaotic Dynamical Process

“…Several diseases and pathologic conditions have been recognized as chaotic systems; examples are AIDS, malaria, cholera, epileptic seizures, cardiac arrhythmias, and bipolar mood disorder. [8][9][10][11][12] Recently, the authors have mathematically modeled periodontitis using cellular automata (CA). 13 They described the disease process as a non-linear dynamical system out of equilibrium and suggested that the disease progression rate scales with a power law exponent of 1.3.…”