2001
DOI: 10.1016/s0047-6374(01)00271-8
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Use of mathematical models of survivorship in the study of biomarkers of aging: the role of heterogeneity

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Cited by 19 publications
(15 citation statements)
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“…Fractal analysis can measure variations of complexity in biosystems that evolve with time by following different trajectories. The specific individual genetic-environment interactions determine the senescent phenotype that evolves as 'normal' aging, pathological aging, or successful aging [33,40]. Dealing with mutations of mtDNA as gaps in the nucleotide sequence, fractal lacunarity represents the most suitable tool to differentiate between PD and aging.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…Fractal analysis can measure variations of complexity in biosystems that evolve with time by following different trajectories. The specific individual genetic-environment interactions determine the senescent phenotype that evolves as 'normal' aging, pathological aging, or successful aging [33,40]. Dealing with mutations of mtDNA as gaps in the nucleotide sequence, fractal lacunarity represents the most suitable tool to differentiate between PD and aging.…”
Section: Discussionmentioning
confidence: 99%
“…The method was developed taking into account the complexity of living beings and fractal properties of many anatomic and physiologic structures, among which is mtDNA [34][35][36][37][38][39]. In particular, the concept that aging can be considered as a "secondary product" of the temporal evolution of a dynamic nonlinear system [40][41][42], governed by the laws of deterministic chaos, can explain the variability observed in the senescent phenotype [33]. In addition, the concept that a complex system with a chaotic behaviour often generates fractal structures [43] highlights the usefulness of fractal analysis as a suitable tool to measure biocomplexity and its changes with aging at both functional and structural levels [44][45][46][47].…”
Section: Introductionmentioning
confidence: 99%
“…Furthermore, nonmonotonic age patterns of biomarkers (e.g., body mass index, which may rise and fall over the life course) introduce additional challenges for using biomarkers to measure biological aging (Yashin et al 2013). Other important biomarkers of aging are unknown or cannot be measured (Piantanelli et al 2001). Together, measured and unmeasured biomarkers characterize the biological mechanisms involved in the regulation of aging.…”
Section: Discussionmentioning
confidence: 99%
“…The current trends in the survival curves show interesting results: the scale effect (characteristic life) linearly increases over time, indicating ‘living longer’, and the shape effect (stretched exponent) gradually shifts towards rectangularisation, indicating ‘growing older’. Most ageing studies have focused on death (mortality) rate patterns171819202122, but important implications of survival curves may be overlooked without scale and shape analyses of these curves. Our methodology could be useful for performing better tracking of ageing statistics, and it is also possible that this methodology can help identify the causes of current trends in human ageing.…”
mentioning
confidence: 99%