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A Comparison of Mathematical Models of Mood in Bipolar Disorder

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Computational Neurology and Psychiatry

Part of the book series: Springer Series in Bio-/Neuroinformatics ((SSBN,volume 6))

Abstract

We are far from a comprehensive understanding of the dynamics of mood in bipolar disorder. However, a number of models of mood have emerged to describe the pathological fluctuation in mood that is characteristic of this disorder. These models are surprisingly diverse in their dynamical principles, e.g. whether mood is periodic or whether mania and depression are stable points when ignoring external influences. This chapters presents a selective summary of existing models of mood in bipolar disorder and introduces two new models. We focus on a key question: how to differentiate between models when only time courses of mood are available. For each model we consider, time courses are evaluated through data transformations and statistical techniques, including estimating survival functions and spectral density. We then provide guidelines on how to decide whether a certain modeling assumption, e.g. periodicity, is appropriate.

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Notes

  1. 1.

    Cyclicity/periodicity should not be confused with “cycling” or “rapid-cycling”. These latter terms are used in BP to define events in which a patient experiences a certain number of episodes within a certain period of time. Cycling in BP does not require that mood is periodic.

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Authors and Affiliations

  1. University of Michigan, Ann Arbor, Michigan, 48105, USA

    Amy L. Cochran, Melvin G. McInnis & Daniel B. Forger

  2. Rice University, Houston, Texas, 77251, USA

    André Schultz

Authors
  1. Amy L. Cochran
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  2. André Schultz
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  3. Melvin G. McInnis
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  4. Daniel B. Forger
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Correspondence to Amy L. Cochran .

Editor information

Editors and Affiliations

  1. Department of Physics, Kalamazoo College, Kalamazoo, Michigan, USA

    Péter Érdi

  2. School of Engineering, University of Lincoln, Lincoln, United Kingdom

    Basabdatta Sen Bhattacharya

  3. Department of Mathematics, University of Michigan, Ann Arbor, Michigan, USA

    Amy L. Cochran

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Cochran, A.L., Schultz, A., McInnis, M.G., Forger, D.B. (2017). A Comparison of Mathematical Models of Mood in Bipolar Disorder. In: Érdi, P., Sen Bhattacharya, B., Cochran, A. (eds) Computational Neurology and Psychiatry. Springer Series in Bio-/Neuroinformatics, vol 6. Springer, Cham. https://doi.org/10.1007/978-3-319-49959-8_11

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  • DOI: https://doi.org/10.1007/978-3-319-49959-8_11

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