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

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, and to budding focus on diseases of nations and civilizations.

[1]  M. E. Johnson,et al.  Generalized simulated annealing for function optimization , 1986 .

[2]  William H. Press,et al.  Numerical Recipes: FORTRAN , 1988 .

[3]  A. Gronenborn,et al.  Determination of three‐dimensional structures of proteins from interproton distance data by dynamical simulated annealing from a random array of atoms Circumventing problems associated with folding , 1988, FEBS letters.

[4]  Sandro Ridella,et al.  Minimizing multimodal functions of continuous variables with the “simulated annealing” algorithmCorrigenda for this article is available here , 1987, TOMS.

[5]  R. Singh,et al.  Chronobiology's progress. Part II, chronomics for an immediately applicable biomedicine , 2006 .

[6]  R. Singh,et al.  Chronobiology's progress: Season's appreciations 2004-2005. Time-, frequency-, phase-,variable,-, individual, -age and site-specific chronomics , 2006 .

[7]  M. Zordan,et al.  Relevance of Lunar Periodicity in Human Spontaneous Abortions , 2004, Gynecologic and Obstetric Investigation.

[8]  Palmer.  Encyclopedia of biostatistics , 1999, BMJ.

[9]  William L. Goffe,et al.  SIMANN: FORTRAN module to perform Global Optimization of Statistical Functions with Simulated Annealing , 1992 .

[10]  G. Cornelissen,et al.  Transyears: new endpoints for gerontology and geriatrics or confusing sources of variability? , 2004, The journals of gerontology. Series A, Biological sciences and medical sciences.

[11]  N. Metropolis,et al.  Equation of State Calculations by Fast Computing Machines , 1953, Resonance.

[12]  Steven G. Louie,et al.  A Monte carlo simulated annealing approach to optimization over continuous variables , 1984 .

[13]  J Rummel,et al.  Combined linear-nonlinear chronobiologic windows by least squares resolving neighboring components in a physiologic rhythm spectrum. , 1974 .