Corpus ID: 88516011

Mean Field Dynamics of Graphs II: Assessing the Risk for the Development of Phase Transitions in Empirical Data

@article{Kossakowski2016MeanFD,
  title={Mean Field Dynamics of Graphs II: Assessing the Risk for the Development of Phase Transitions in Empirical Data},
  author={Jolanda J. Kossakowski and M. Gordijn and H. Riese and L. Waldorp},
  journal={arXiv: Applications},
  year={2016}
}
  • Jolanda J. Kossakowski, M. Gordijn, +1 author L. Waldorp
  • Published 2016
  • Mathematics
  • arXiv: Applications
  • Psychological disorders like major depressive disorder can be seen as complex dynamical systems. By looking at symptom activation patterns, we can investigate the dynamic behaviour of individuals to see whether or not they are at risk for sudden changes (phase transitions). Here, we show how a mean field approximation is used to reduce a dynamic multidimensional system to one-dimensional system to analyse the dynamics. Using maximum likelihood estimation, we can estimate the parameter of… CONTINUE READING
    1 Citations

    References

    SHOWING 1-10 OF 27 REFERENCES
    A new method for constructing networks from binary data
    • 238
    • PDF
    The Small World of Psychopathology
    • 324
    • PDF
    Collective dynamics of ‘small-world’ networks
    • 33,147
    • PDF
    Critical Slowing Down as a Personalized Early Warning Signal for Depression
    • 133
    • PDF
    Scaling and percolation in the small-world network model.
    • M. Newman, D. Watts
    • Mathematics, Physics
    • Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
    • 1999
    • 976
    • PDF
    Mood disorders in everyday life: a systematic review of experience sampling and ecological momentary assessment studies.
    • 188
    • PDF