Cases, clusters, densities: Modeling the nonlinear dynamics of complex health trajectories

Complexity

Volumn 21, Issue , 2016, Pages 160-180

  Castellani, Brian ^a   Rajaram, Rajeev ^b   Gunn, Jane ^c   Griffiths, Frances ^d  

^a Department of Sociology ^*  (United States)

^b KENT STATE UNIVERSITY   (United States)

^c UNIVERSITY OF MELBOURNE   (Australia)

^d UNIVERSITY OF WARWICK   (United Kingdom)

Author keywords

case based modeling; complex health trajectories; differential equations; longitudinal data; nonlinear dynamics; vector quantization

Indexed keywords

EID: 84945423927     PISSN: 10762787     EISSN: 10990526     Source Type: Journal    
DOI: 10.1002/cplx.21728     Document Type: Article

References (27)

1. Castellani, B.; Rajaram, R.; Buckwalter, J.G.; Ball, M.; Hafferty, F.W. Place and Health as Complex Systems. Springer Briefs on Public Health, Germany, 2014.
2. Feng, Q.Y.; Griffiths, F.; Parsons, N.; Gunn, J. An exploratory statistical approach to depression pattern identification. Physica A: Stat Mech Appl 2013, 392, 889–901.
3. Gunn, J.; Elliott, P.; Densley, K.; Middleton, A.; Ambresin, G.; Dowrick, C.; Herrman, H.; Hegarty, K.; Gilchrist, G.; Griffiths, F. A trajectory-based approach to understand the factors associated with persistent depressive symptoms in primary care. J Affect Disorders 2013, 148, 338–346.
4. Rajaram, R.; Castellani, B. Modeling complex systems macroscopically: Case/agent-based modeling, synergetics and the continuity equation. Complexity 2012, 18, 8–17.
5. Rajaram, R.; Castellani, B.: The utility of non-equilibrium statistical mechanics, specifically transport theory, for modeling cohort data. Complexity 2014, 20, 45–57.
6. Castellani, B., Hafferty, F.: Sociology and Complexity Science: A New Field of Inquiry. Springer, Germany, 2009.
7. Castellani, B.; Rajaram, R. Case-based modeling and the sacs toolkit: A mathematical outline. Comput Math Organ Theory 2012, 18, 153–174.
8. Byrne, D.; Callaghan, G. Complexity Theory and the Social Sciences: The State of the Art. Routledge: UK, 2013.
9. Byrne, D., (eds.), C.C.R. The Sage handbook of case-based methods. Sage Publications Ltd: London, UK, 2013.
10. Buckwalter, J.; Castellani, B.; McEwen, B.; Karlamangla, A.S.; Rizzo, A.A.; John, B.; O'Donnell, K.; Seeman, T. Allostatic load as a complex clinical construct: A case-based computational modeling approach. Complexity 2015, (in review).
11. Rajaram, R.; Castellani, B.; Gunn, J.; Uprichard, E.; Byrne, D.; Griffiths, F. Modeling depression and physical wellbeing longitudinally: A case-based density approach. Am J Public Health, submitted.
12. Byrne, D. Complex realist and configurational approaches to cases: A radical synthesis. Case-Based Methods, 2009, 101–111.
13. Ragin, C.C. Casing and the process of social inquiry1. What is a case?: Exploring the foundations of social inquiry. 1992, 217.
14. Ragin, C.C., Becker, H.S. What is a Case?: Exploring the Foundations of Social Inquiry. Cambridge University Press: Cambridge, UK, 1992.
15. Cilliers, P. Boundaries, hierarchies and networks in complex systems. Int J Innovat Manag 2001, 5, 135–147.
16. Mitchell, M. Complexity: A Guided Tour. Oxford University Press: New York, USA 2009.
17. Sornette, D.: Probability distributions in complex systems. In: Encyclopedia of Complexity and Systems Science, R. Meyers, Ed.; Springer: New York, USA, 2009; pp 7009–7024.
18. Kuo, B.C., Golnaraghi, F. Automatic Control Systems. Wiley: USA, 2002.
19. Jain, A. Data clustering: 50 years beyond k-means. Pattern Recogn Lett 2010, 31, 651–666.
20. Kohonen, T.; Kaski, S.; Lagus, K.; Salojarvi, J.; Honkela, J.; Paatero, V.; Saarela, A. Self organization of a massive document collection. Neural Networks 2000, 11, 574–585.
21. Kuo, R.; Ho, L.M.; Hu, C.M. Cluster analysis in industrial market segmentation through artificial neural network. Comput Ind Eng 2002, 42, 391–399.
22. Kuo, R.; Ho, L.M.; Hu, C.M. Integration of self-organizing feature map and k-means algorithm for market segmentation. Comput Oper Res 2002, 29, 1475–1493.
23. Savage, M.; Burrows, R. The coming crisis of empirical sociology. Sociology 2007, 41, 885–899.
24. Savage, M.; Burrows, R. Some further reflections on the coming crisis of empirical sociology. Sociology 2009, 43, 762–772.
25. Mackey, M.C. Time's Arrow: The Origins of Thermodynamic Behavior. Springer Verlag, Germany; 1992.
26. Haken, H. Information and Self-Organization: A Macroscopic Approach to Complex Systems. Springer: Germany 2006.
27. Christakis, N.A., Fowler, J.H. The spread of obesity in a large social network over 32 years. New Engl J Med 2007;357:370–379. DOI 10.1056/NEJMsa066082