Aging in complex interdependency networks.

Although species longevity is subject to a diverse range of evolutionary forces, the mortality curves of a wide variety of organisms are rather similar. Here we argue that qualitative and quantitative features of aging can be reproduced by a simple model based on the interdependence of fault-prone agents on one other. In addition to fitting our theory to the empiric mortality curves of six very different organisms, we establish the dependence of lifetime and aging rate on initial conditions, damage and repair rate, and system size. We compare the size distributions of disease and death and see that they have qualitatively different properties. We show that aging patterns are independent of the details of interdependence network structure, which suggests that aging is a many-body effect, and that the qualitative and quantitative features of aging are not sensitively dependent on the details of dependency structure or its formation.

[1]  S. Austad,et al.  Longer Life Spans and Delayed Maturation in Wild-Derived Mice , 2002, Experimental biology and medicine.

[2]  Daniel V. Veres,et al.  Network strategies to understand the aging process and help age-related drug design , 2009, Genome Medicine.

[3]  Ericka Stricklin-Parker,et al.  Ann , 2005 .

[4]  Huba J. M. Kiss,et al.  Ageing as a price of cooperation and complexity , 2008, BioEssays : news and reviews in molecular, cellular and developmental biology.

[5]  S. Carpenter,et al.  Early-warning signals for critical transitions , 2009, Nature.

[6]  Michael W. Gray,et al.  Irremediable Complexity? , 2010, Science.

[7]  W. Hamilton The moulding of senescence by natural selection. , 1966, Journal of theoretical biology.

[8]  G. Caughley Mortality Patterns in Mammals , 1966 .

[9]  P. Steerenberg,et al.  Targeting pathophysiological rhythms: prednisone chronotherapy shows sustained efficacy in rheumatoid arthritis. , 2010, Annals of the rheumatic diseases.

[10]  J. Vaupel,et al.  Demography of genotypes: failure of the limited life-span paradigm in Drosophila melanogaster. , 1992, Science.

[11]  P. Medawar UNSOLVED problem of biology. , 1953, The Medical journal of Australia.

[12]  D. Promislow,et al.  Age-specific patterns of genetic variance in Drosophila melanogaster. I. Mortality. , 1996, Genetics.

[13]  B. Weinert,et al.  Invited review: Theories of aging. , 2003, Journal of applied physiology.

[14]  T. Kirkwood Evolution of ageing , 2002, Mechanisms of Ageing and Development.

[15]  A. Baudisch Birds Do It, Bees Do It, We Do It: Contributions of Theoretical Modelling to Understanding the Shape of Ageing across the Tree of Life , 2012, Gerontology.

[16]  Albert-László Barabási,et al.  Error and attack tolerance of complex networks , 2000, Nature.

[18]  M. Lynch The frailty of adaptive hypotheses for the origins of organismal complexity , 2007, Proceedings of the National Academy of Sciences.

[19]  S. Austad,et al.  Mouse (Mus musculus) stocks derived from tropical islands: new models for genetic analysis of life‐history traits , 2000, Journal of zoology.

[20]  Thomas E. Johnson,et al.  Evolutionary biology of aging , 1990 .

[21]  Reuven Cohen,et al.  Percolation critical exponents in scale-free networks. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[22]  B. Strehler,et al.  General theory of mortality and aging. , 1960, Science.

[23]  E. Blackburn,et al.  Telomere states and cell fates , 2000, Nature.

[24]  K. Hughes,et al.  Evolutionary and mechanistic theories of aging. , 2005, Annual review of entomology.

[25]  J. Vaupel,et al.  Slowing of mortality rates at older ages in large medfly cohorts. , 1992, Science.

[26]  D. Reznick,et al.  The evolution of senescence in natural populations of guppies (Poecilia reticulata): a comparative approach , 2001, Experimental Gerontology.

[27]  L. Gavrilov,et al.  The reliability theory of aging and longevity. , 2001, Journal of theoretical biology.

[28]  Harry Eugene Stanley,et al.  Catastrophic cascade of failures in interdependent networks , 2009, Nature.

[29]  A. Stoltzfus On the Possibility of Constructive Neutral Evolution , 1999, Journal of Molecular Evolution.

[30]  橘 覚勝,et al.  Gerontology , 1952 .

[31]  T. Sherratt,et al.  The evolution of senescence through decelerating selection for system reliability , 2009, Journal of evolutionary biology.

[32]  A. Yashin,et al.  Biodemographic trajectories of longevity. , 1998, Science.

[33]  B. Bainbridge,et al.  Genetics , 1981, Experientia.

[34]  R. Rosenfeld Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.

[35]  Olga Smirnova,et al.  Nature in London , 2016 .

[36]  S. Goldhor Ecology , 1964, The Yale Journal of Biology and Medicine.

[37]  R. Albert,et al.  The large-scale organization of metabolic networks , 2000, Nature.

[38]  S. Havlin,et al.  Optimization of network robustness to waves of targeted and random attacks. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.