J Appl Biomed 4:87-94, 2006 | DOI: 10.32725/jab.2006.008

GOSA, a simulated annealing-based program for global optimization of nonlinear problems, also reveals transyears

Jerzy Czaplicki1,*, Germaine Cornélissen2, Franz Halberg2
1 Institute of Pharmacology and Structural Biology, CNRS UMR 5089, Toulouse, France
2 Halberg Chronobiology Center, University of Minnesota, Minneapolis, MN, USA

Transyears in biology have been documented thus far by the extended cosinor approach, including linear-nonlinear rhythmometry. We here confirm the existence of transyears by simulated annealing, a method originally developed for a much broader use, but described and introduced herein for validating its application to time series. The method is illustrated both on an artificial test case with known components and on biological data. We provide a table comparing results by the two methods and trust that the procedure will serve the budding sciences of chronobiology (the study of mechanisms underlying biological time structure), chronomics (the mapping of time structures in and around us), and chronobioethics, using the foregoing disciplines to add to concern for illnesses of individuals also a budding focus on diseases of societies, like crime, and of nations and civilizations, like war.

Keywords: simulated annealing; linear-nonlinear rhythmometry; transyears; cosinor

Received: January 12, 2006; Revised: March 14, 2006; Published: July 31, 2006  Show citation

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Czaplicki J, Cornélissen G, Halberg F. GOSA, a simulated annealing-based program for global optimization of nonlinear problems, also reveals transyears. J Appl Biomed. 2006;4(2):87-94. doi: 10.32725/jab.2006.008.
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References

  1. Bohachevsky I.O., Johnson M.I., Stein M.L.: Generalized simulated annealing for function optimization. Technometrics 28:209-217, 1986. Go to original source...
  2. Corana A., Marchesi M., Martini C., Ridella S.: Minimizing multimodal functions of continuous variables with the 'simulated annealing algorithm'. ACM Trans. Math. Softw. 13:262-280, 1987. Go to original source...
  3. Cornélissen G., Halberg F.: Chronomedicine. In Armitage P., Colton T. (eds.): Encyclopedia of Biostatistics, 2nd ed., John Wiley & Sons Ltd., Chichester 2005, pp. 796-812. Go to original source...
  4. Czaplicki J., Cornélissen G., Bakken E.E., Halberg F.: Simulated annealing software for resolving spectral components close in frequency validates endocrine transyears. Abstract, Meeting on Current Problems of Adaptation under Polar Conditions, Khanty-Manoijsk, Siberia, Russia, 2006.
  5. Goffe W.L., Ferrier G.D., Rogers J.: Global optimization of statistical functions with simulated annealing. J. Econom. 60:65-99, 1994. Go to original source...
  6. Halberg F.: Chronobiology: methodological problems. Acta Med. Rom. 18:399-440, 1980.
  7. Halberg F., Cornélissen G., Bakken E.E. et al.: Transyears: new endpoints for gerontology and geriatrics or confusing sources of variability? J. Gerontol. A Biol. Sci. Med. Sci. 59:1344-1347, 2004. Go to original source... Go to PubMed...
  8. Halberg F., Cornélissen G., Katinas G. et al.: Chronobiology's progress. Part I, season's appreciations 2004-2005: time-, frequency-, phase-, variable-, individual-, age- and site-specific chronomics. J. Appl. Biomed. 4:1-38, 2006a. Go to original source...
  9. Halberg F., Cornélissen G., Katinas G. et al.: Chronobiology's progress. Part II, chronomics for an immediately applicable biomedicine. J. Appl. Biomed. 4:73-86, 2006b. Go to original source...
  10. Matuška T., Mikulecky M.: Chronobiology of spontaneous abortion: Halberg's paraseasonality is dominating again. Abstract, 27th Seminar on Man in his Terrestrial and Cosmic Environment, Úpice, Czech Republic, May 16-18, 2006.
  11. Metropolis N., Rosenbluth A.W., Rosenbluth M.N. et al.: Equations of state calculations by fast computing machines. J. Chem. Phys. 21:1087-1092, 1953. Go to original source...
  12. Nilges M., Clore G.M., Gronenborn A.M.: Determination of three-dimensional structures of proteins from interproton distance data by dynamical simulated annealing from a random array of atoms. FEBS Lett. 239:129-136, 1988. Go to original source... Go to PubMed...
  13. Press W.H., Flannery B., Teukolsky S., Vetterling W.T.: Numerical Recipes in Fortran. Cambridge University Press, New York 1992.
  14. Rummel J.A., Lee J.K., Halberg F.: Combined linear-nonlinear chronobiologic windows by least-squares resolve neighboring components in a physiologic rhythm spectrum. In Ferin M., Halberg F., Richart R.M., Vande Wiele R. (eds.): Biorhythms and Human Reproduction, Int. Inst. for the Study of Human Reproduction Conf. Proc., John Wiley & Sons, New York 1974, pp. 53-82.
  15. Valandro L., Zordan M., Polanska M. et al.: Relevance of lunar periodicity in human spontaneous abortions. Gynecol. Obstet. Invest. 58: 179-182, 2004. Go to original source... Go to PubMed...
  16. Vanderbilt D., Louie S.G.: A Monte Carlo simulated annealing approach to optimization over continuous variables. J. Comp. Phys. 56: 259-271, 1984. Go to original source...