SUMMARY
Transyears in biology have been documented thus far by the extended cosinor approach, including linearnonlinear
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.
KEY WORDS
simulated annealing; linear-nonlinear rhythmometry; transyears; cosinor
REFERENCES
Bohachevsky IO, Johnson MI, Stein ML:
Generalized simulated annealing for function
optimization. Technometrics 28:209-217, 1986.
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.
Cornelissen G, Halberg F: Chronomedicine. In
Armitage P, Colton T (eds.): Encyclopedia of
Biostatistics, 2nd ed., John Wiley & Sons Ltd.,
Chichester 2005, pp. 796-812.
Czaplicki J, Cornelissen G, Bakken EE, 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.
Goffe WL, Ferrier GD, Rogers J: Global
optimization of statistical functions with
simulated annealing. J Econom.60:65-99, 1994.
Halberg F: Chronobiology: methodological
problems. Acta Med Rom 18:399-440, 1980.
Halberg F, Cornelissen G, Bakken EE 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.
Halberg F, Cornelissen G, Katinas G et al.:
Chronobiology’s progress. Part I, season's
appreciations 2004-2005: time-, frequency-,
phase-, variable-, individual-, age- and sitespecific
chronomics. J Appl Biomed 4:1-38, 2006a.
Halberg F, Cornelissen G, Katinas G et al.:
Chronobiology’s progress. Part II, chronomics
for an immediately applicable biomedicine. J
Appl Biomed 4:73-86, 2006b.
Matuska T, Mikulecky M: Chronobiology of
spontaneous abortion: Halberg’s
paraseasonality is dominating again. Abstract,
27th Seminar on Man in his Terrestrial and
Cosmic Environment, Upice, Czech Republic,
May 16-18, 2006.
Metropolis N, Rosenbluth AW, Rosenbluth MN
et al.: Equations of state calculations by fast
computing machines. J Chem Phys 21:1087-1092, 1953.
Nilges M, Clore GM, Gronenborn AM:
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.
Press WH, Flannery B, Teukolsky S, Vetterling
WT: Numerical Recipes in Fortran.
Cambridge University Press, New York 1992.
Rummel JA, Lee JK, Halberg F: Combined
linear-nonlinear chronobiologic windows by least-squares resolve neighboring components
in a physiologic rhythm spectrum. In Ferin M,
Halberg F, Richart RM, 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.
Valandro L, Zordan M, Polanska M et al.:
Relevance of lunar periodicity in human
spontaneous abortions. Gynecol Obstet
Invest 58:179-182, 2004.
Vanderbilt D, Louie SG: A Monte Carlo
simulated annealing approach to optimization
over continuous variables. J Comp Phys 56:259-271, 1984.
|
CITED
Campagne S, Muller I, Milon A, Gervais V. Towards the classification of DYT6 dystonia mutants in the DNA-binding domain of THAP1. Nucleic Acids Res. 40: 9927-9940, 2012.
Iordanov I, Renault M, Reat V, Bosshart PD, Engel A, Saurel O, Milon A. Dynamics of Klebsiella pneumoniae OmpA transmembrane domain: The four extracellular loops display restricted motion behavior in micelles and in lipid bilayers. Biochim Biophys Acta Biomembr. 1818: 2344-2353, 2012.
Zilberman-Peled B, Bransburg-Zabary S, Klein DC, Gothilf Y. Molecular evolution of multiple arylalkylamine N-acetyltransferase (AANAT) in fish. Mar Drugs. 9: 906-921, 2011.
Tourtoglou K, Virvou M. Simulated Annealing in Finding Optimum Groups of Learners of UML. Conference Information: 3rd International Symposium on Intelligent Interactive Multimedia Systems and Services, JUL 28-30, 2010 Baltimore, MD. Intelligent Interactive Multimedia Systems and Services Book Series: Smart Innovation Systems and Technologies. 6: 147-156, 2010.
Holt A, Rougier L, Reat V, Jolibois F, Saurel O, Czaplicki J, Killian JA, Milon A. Order Parameters of a Transmembrane Helix in a Fluid Bilayer: Case Study of a WALP Peptide. Biophys J. 98: 1864-1872, 2010.
Campagne S, Saurel O, Gervais V, Milon A. Structural determinants of specific DNA-recognition by the THAP zinc finger. Nucleic Acids Res. 38: 3466-3476, 2010.
Refinetti R, Cornelissen G, Halberg F. Procedures for numerical analysis of circadian rhythms. Biol Rhytm Res. 38: 275-325, 2007.
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