Social-support moderated stress: A nonlinear dynamical model and the stress-buffering hypothesis

Nonlinear Dynamics, Psychology, and Life Sciences

Volumn 15, Issue 1, 2011, Pages 53-85

  Field, Richard J ^a   Schuldberg, David ^a  

^a UNIVERSITY OF MONTANA   (United States)

Author keywords

Buffering; Dynamic stability; Dynamical diseases; Health; Homeostasis; Nonlinear dynamics; Social support; Stress

Indexed keywords

ADAPTIVE BEHAVIOR; ARTICLE; FAMILY; FRIEND; HUMAN; MENTAL STRESS; NONLINEAR SYSTEM; PSYCHOLOGICAL ASPECT; PSYCHOLOGICAL MODEL; SOCIAL SUPPORT;

ADAPTATION, PSYCHOLOGICAL; FAMILY; FRIENDS; HUMANS; MODELS, PSYCHOLOGICAL; NONLINEAR DYNAMICS; SOCIAL SUPPORT; STRESS, PSYCHOLOGICAL;

EID: 79251504578     PISSN: 10900578     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (64)

1. Alloway, R., & Bebbington, P. (1987). The buffer theory of social support: A review of the literature. Psychological Medicine, 17, 91-108.
2. Aronson, D. G., Chory, M. A., Hall, G. R., & McGehee, R. P. (1982). Bifurcations from an invariant circle for two-parameter families of maps of the plane: A com-puter-assisted study. Communications in Mathematical Physics, 83, 3033-3354.
3. Bélar, J., Glass, L., an den Heiden, U., & Milton, J. (1995). Dynamical disease: Mathematical analysis of human illness. Woodbury, NY: American Institute of Physics Press.
4. Breuer, J., & Freud, S. (1895/2000). Studies on hysteria (translated J. Strachey). NY: Basic Books.
5. Burns, J. R., & Marcy, W. M. (1979). Causality: Its characterization in system dynamics and KSIM models of socioeconomic systems. Technological Forecasting and Social Change, 14, 387-398.
6. Carver, C. S. (1997). Dynamic social psychology: Chaos and catastrophes for all. Psychological Inquiry, 8, 110-119.
7. Carver, C. S., & Scheier, M. F. (1998). On self-regulation of behavior. NY: Cambridge University Press.
8. Cohen, S., & Wills, T. A. (1985). Stress, social support, and the buffering hypothesis. Psychological Bulletin, 98, 310-357.
9. Coyne, J. C. (1976). Depression and the response of others. Journal of Abnormal Psychology, 85, 186-193.
10. Crowley, M. F., & Field, R. J. (1986). Electrically Coupled Belousov-Zhabotinsky Oscillators. 1. Experiments and Simulations. Journal of Physical Chemistry, 90, 1907-1915.
11. DeLongis, A., Coyne, J. C., Dakoff, G., Folkman, S., & Lazarus, R. S. (1982). Relationship of daily hassles, uplifts, and major life events to health status. Health Psychology, 1, 119-136.
12. Dooley, K. J. (2009). The butterfly effect of the "butterfly effect." Nonlinear Dynamics, Psychology, and Life Sciences, 13, 279-288.
13. Earl, B. L. (2008). The Harmonic Oscillator with Gaussian perturbation. Evaluation of the Integrals and Applications. Journal of Chemical Education, 85, 453-457.
14. Epstein, I. R., & Pojman, J. A. (1998). An introduction to nonlinear chemical dynamics. NY: Oxford University Press.
15. Field, R. J. (2008). Chemical kinetics. Scholarpedia, 3, 4051.
16. Field, R. J., & Györgyi, L. (1993). Chaos in chemistry and biochemistry. Singapore: World Scientific Press.
17. Field, R. J., Ko{double acute}rös, E., & Noyes, R. M. (1972). Oscillation in chemical systems. II. Thorough analysis of temporal oscillation in the bromate-cerium-malonic acid system. Journal of the American Chemical Society, 94, 8649-8664.
18. Field, R. J., & Noyes, R. M. (1974). Limit cycle behavior in a model of a real chemical reaction. Journal of Chemical Physics, 60, 1877-1884.
19. Ganster, D. C., & Victor, B. (1988). The impact of social support on mental and physical health. British Journal of Medical Psychology, Special Issue: Stress and health, 61, 17-36.
20. Gear, C. W. (1971). Numerical initial value problems in ordinary differential equations. Englewood Cliffs, NJ: Prentice-Hall, Inc.
21. Gleick, J. (1987). Chaos: Making of a new science. NY: Penguin Books.
22. Goldberger, A. L., & Rigney, D. R. (1989). On the non-linear motions of the heart: Frac-tals, chaos, and cardiac dynamics. In A. Goldbeter (Ed.), Cell to cell signaling: From experiments to theoretical models (pp. 541-549). San Diego: Academic.
23. Gottschalk, A. B. M. S., & Whybrow, P. C. (1995). Evidence of chaotic mood variation in bipolar disorder. Archives of General Psychiatry, 52, 947-959.
24. Gottman, J. M., Murray, J. D., Swanson, C. C., Tyson, R., & Swanson, K. R. (2002). The mathematics of marriage: Dynamic nonlinear models. Cambridge: MIT Press.
25. Guastello, S. J. (1982). Moderator regression and the cusp catastrophe: Application of a two-stage personnel selection, training, therapy, and program evaluation. Behavioral Science, 27, 259-272.
26. Guastello S. J. (1992). Accidents and stress-related health disorders: Forecasting with catastrophe theory. In J. C. Quick, J. J. Hurrell, & L. M. Murphy (Eds.), Work and well-being: Assessments and interventions for occupational mental health (pp. 252-269). Washington, DC: American Psychological Association.
27. Guastello S. J. (1995). Chaos, catastrophe, and human affairs: Applications of nonlinear dynamics to work, organizations, and social evolution. Mahwah, NJ: Erlbaum.
28. Guckenheimer, J., & Kuznetsov, Y. A. (2007). Bogdanov-Takens bifurcation. Scholarpedia, 2,1854.
29. Györgyi, L., & Field, R. J. (1988). Aperiodicity resulting from external and internal two-cycle coupling in the Belousov-Zhabotinsky reaction, Journal of Physical Chemistry, 92, 7079-7088.
30. Hindmarsh, A. C. (1983). ATOPIC, A systemized collection of ODE solvers. In R. S. Steelman, et al. (Eds.), Scientific Computing (pp. 55-64). Amsterdam: North Holland. Software retrieved September 2, 2010, from http://computation.llnl.gov/casc/odepack/odepack_home.html.
31. Hiroshi, O., Naoki, T., & Masayoshi, N. (1995). Analogy between stimulus response characteristics of neuronal and electrochemical cells. Chemical Physics Letters, 237, 432-436.
32. Joiner, T. E., Alfano, M. S., & Metalsky, G. (1992). When depression breeds contempt: Reassurance seeking, self-esteem, and rejection of depressed college students by their roommates. Journal of Abnormal Psychology, 101, 165-173.
33. Kauffman, S. (1995). At home in the universe. NY: Oxford University Press.
34. Lazarus, R. S., & Folkman, S. (1984) Stress, appraisal, and coping. NY: Springer.
35. Levine, R. L. (1992) An introduction to qualitative dynamics. In R. L. Levine & H. E. Fitzgerald (Eds.), Analysis of dynamic psychological systems. Volume 1: Basic approaches to general systems, dynamic systems, and cybernetics (pp. 267-330). NY: Plenum.
36. Lorenz, E. N. (1963). Deterministic nonperiodic flow. Journal of the Atmospheric Sciences, 20, 130-141.
37. Marek, M., & Schreiber, I. (1993). Chaos in forced and coupled chemical oscillators and excitators. In R. J. Field and L. Györgyi (Eds.), Chaos in chemistry and biochemistry (pp. 87-122). NY: World Scientific Press.
38. Marsden, J. E., & McCracken, M. (1976). The Hopf bifurcation and its applications. NY: Springer.
39. Massio, M., Saborido, C., & Moreno, A. (2009). An organizational account of biological functions. British Journal for the Philosophy of Science, 60, 813-841.
40. Matlab (2010). MathWorks MATLAB and Simulink for Technical Computing. Retrieved September 2, 2010 from http://www.mathworks.com.
41. May, R. M. (1976). Simple mathematical models with very complicated dynamics. Nature, 261, 459-467.
42. May, R. M. (1981). Theoretical ecology: Principles and applications (2nd Ed.). Oxford: Blackwell.
43. Neufeld, R. W. J. (1999). Dynamic differentials of stress and coping. Psychological Review, 106, 385-397.
44. Pool, R. (1989). Is it healthy to be chaotic? Science, 243, 604-607.
45. Poston, T., & Stewart, I. (1998). Catastrophe theory and its applications. NY: Dover.
46. Procidano, M. E. (1992). The nature of perceived social support: Findings of meta-analytic studies. Advances in Personality Assessment, 9, 1-26.
47. Rambidi, N. (2001). Bimolecular nonlinear dynamic mechanisms as a foundation for human traits of information processing machine. Discrete Dynamics in Nature and Society, 6, 263-279.
48. Scholarpedia (2010). Encyclopedia of dynamical systems. Retrieved September 2, 2010 from http://www.scholarpedia.org/article/Encyclopedia_of_dynamical_systems
49. Schuldberg, D. (2002). Theoretical contributions of complex systems to positive psychology and health: A Somewhat-complicated affair. Nonlinear Dynamics, Psychology, and Life Sciences, 6, 335-350.
50. Schuldberg, D. (2006). Complicato, ma non troppo: A small nonlinear model and the good life. In A. Delle Fave (Ed.), Dimensions of well-being: Research and intervention (pp. 552-556). Milan: Franco Angeli.
51. Scott, S. K. (1991). Chemical chaos. Oxford: Clarendon Press.
52. Shanks, N. (2001). Modelling biological systems: The Belousov-Zhabotinsky reaction. Foundations of Chemistry, 3, 33-53.
53. Smith, T. S., & Stevens, G. T. (1997a). Biological foundations of social interaction: Computational explorations of nonlinear dynamics in arousal modulation. In R. A. Eve, S. Horsfall & M. E. Lee (Eds.), Chaos, complexity, and sociology: Myths, models, and theories (pp. 197-214). Thousand Oaks, CA: Sage.
54. Smith, T. S., & Stevens, G. T. (1997b). Comfort regulation as a morphogenetic principle: Local dynamics of dominance, competition, and attachment. In B. Markovsky, M. J. Lovaglia, & E. J. Lawler (Eds), Advances in Group Processes, 14 (pp.113-155). Greenwich, CT: JAI Press, Inc.
55. Sprott, J. C. (2003). Chaos and time series analysis. NY: Oxford.
56. Starr, L. R., & Davila, J. (2008). Excessive reassurance seeking, depression, and interpersonal rejection: A meta-analytic review. Journal of Abnormal Psychology, 117, 762-775.
57. Strogatz, S. H. (1994). Nonlinear dynamics and chaos. Reading, MA: Addison-Wesley Publishing Company.
58. Sulloway, F. J. (1979). Freud, biologist of the mind: Beyond the psychoanalytic legend. Cambridge, MA: Harvard University Press.
59. Vanag, V. K., & Epstein, I. R. (2008). Design and control of patterns in reaction-diffusion systems. Chaos, 18, 026107/1-026107/11.
60. Wade. T. D. & Kendler, K. (2000). Absence of interactions between social support and stressful life events in the prediction of major depression and depressive symptomatology in women. Psychological Medicine, 30, 965-974.
61. Watkins, J. G., & Watkins, H. H. (1997). Ego states: Theory and therapy. New York: W.W. Norton.
62. West, B. J. (2006). Where medicine went wrong: Rediscovering the path to complexity. Singapore: World Scientific.
63. Winfree, A. T (2001). The geometry of biological time (2nd edition). New York: Springer-Verlag.
64. Young, M. Y. (2001). Moderators of stress in Salvadoran refugees: The role of social and personal resources. International Migration Review, 35, 840-869.