Halberg F, Cornélissen G, Otsuka K, Fiser B, Mitsutake G, Wendt H W, Johnson P, Gigolashvili M, Breus T, Sonkowsky R, Chibisov S M, Katinas G, Siegelova J, Dusek J, Singh R B, Berri B L, Schwartzkopff O
University of Minnesota, Minneapolis, MN, USA.
Biomed Pharmacother. 2005 Oct;59 Suppl 1:S239-61. doi: 10.1016/s0753-3322(05)80039-3.
We analyzed cycles with periods, tau, in the range of 0.8-2.0 years, characterizing, mostly during 1999-2003, the incidence of sudden cardiac death (SCD), according to the International Classification of Diseases, 10th revision (ICD10), code I46.1. In the tau range examined, only yearly components could be documented in time series from North Carolina, USA; Tbilisi, Georgia; and Hong Kong, in the latter two locations based on relatively short time series. By contrast, in Minnesota, USA, we found only a component with a longer than (= trans) yearly (transyearly) tau of 1.39 years; the 95% confidence interval (CI) of the tau extended from 1.17 to 1.61 years, falling into the category of transyears (defined as a tau and a 95% CI between 1.0 and 2.0 years, with the limits of the 95% CI of the spectral component's tau overlapping neither of these lengths). During the same span from 1999 to 2003 in Arkansas, USA, a component of about 1-year in length was present, and in addition, one with a tau of 1.69 year with a CI extending from 1.29 to 2.07 years, a far-transyear candidate, far-transyears being defined as having a tau with a CI between 1.20 and 2.0 year, with the CI overlapping neither of these lengths. In the Czech Republic, there was also a calendar-yearly tau and one of 1.76 years. In the latter two geographic/geomagnetic areas, the about-yearly and the longer cycles' amplitudes were of similar prominence. The taus are only candidate transyears; the 95% CIs of their taus overlap the 2-year length. When a series on SCD from 1994 to 2003 from the Czech Republic was analyzed, the 95% CI of the transyear's tau no longer overlapped the 2-year length. Transyears were also found in the Czech Republic for myocardial infarctions (MI), meeting the original transyear definition in both a shorter and a longer series. Moreover, in the 1994-2003 series on MI from the Czech Republic, a near-transyear was also found, meeting the definition of a period with a 95% CI overlapping neither precisely 1.0 year nor 1.2 years, along with a far-transyear, defined as a tau between 1.2 and 2.0 years, again with the 95% CI covering neither of these lengths. Herein, we discuss near- and far-transyears more generally in the light of their background in physics and the concept of reciprocal cyclicities.
我们分析了周期τ在0.8 - 2.0年范围内的周期，主要在1999 - 2003年期间，根据国际疾病分类第10版（ICD10）编码I46.1来表征心源性猝死（SCD）的发生率。在所研究的τ范围内，在美国北卡罗来纳州、格鲁吉亚第比利斯以及香港（后两个地区基于相对较短的时间序列）的时间序列中，仅能记录到年度成分。相比之下，在美国明尼苏达州，我们仅发现了一个τ长于（=超过）1.39年的跨年成分；τ的95%置信区间（CI）从1.17延伸至1.61年，属于跨年类别（定义为τ和频谱成分τ的95% CI在1.0至2.0年之间，且频谱成分τ的95% CI的界限不与这两个长度中的任何一个重叠）。在1999年至2003年的同一时期，美国阿肯色州存在一个长度约为1年的成分，此外，还有一个τ为1.69年且CI从1.29延伸至2.07年的成分，这是一个远跨年候选成分，远跨年定义为τ的CI在1.20至2.0年之间，且CI不与这两个长度中的任何一个重叠。在捷克共和国，也存在一个历年τ和一个1.76年的τ。在这后两个地理/地磁区域，约年度和较长周期的振幅具有相似的显著程度。这些τ仅是候选跨年成分；它们τ的95% CI与2年长度重叠。当分析捷克共和国1994年至2003年的SCD系列时，跨年τ的95% CI不再与2年长度重叠。在捷克共和国的心肌梗死（MI）中也发现了跨年成分，在较短和较长的系列中均符合原始的跨年定义。此外，在捷克共和国1994 - 2003年的MI系列中，还发现了一个近跨年成分，符合一个周期的定义，其95% CI既不精确重叠1.0年也不重叠1.2年，以及一个远跨年成分，定义为τ在1.2至2.0年之间，同样95% CI不涵盖这两个长度中的任何一个。在此，我们根据它们在物理学中的背景和相互循环性的概念更全面地讨论近跨年和远跨年。
