Biochemistry (Moscow)

, Volume 83, Issue 7, pp 836–845 | Cite as

Reproducible Peak Clusters on Differential Mouse Mortality Curves and Their Relation to the Gompertz Model

  • A. G. MalyginEmail author


It is shown that differentiation of mouse mortality curves (number of animals that died at a certain age plotted versus their lifespan) results in the appearance of eight clearly distinguished clusters of peaks corresponding to increased mortality rates. Smoothing of the original mortality curves and subsequent transformation of the differential mortality curves according to the Gompertz model makes the peaks and the corresponding clusters less pronounced and drives the logarithm of the force mortality curve toward a straight line. The positions of the clusters on the lifespan axis (expressed in days) were calculated as weighted means by dividing the sum of the products of multiplication of the peak heights and their position on the lifespan axis by the sum of the peak heights within a cluster. To prove that the peaks and their clusters are not random, we have demonstrated that the positions of the clusters on the lifespan axis do not depend on the extent of mortality curve smoothing or the group of mice analyzed.


lifespan mice differential mortality curves peak clusters Gompertz model 


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Supplementary material

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  1. 1.
    Gompertz, B. (1825) On the nature of the function expres–sive of the law of human mortality and on a new mode of determining the value of life contingencies, Philos. Trans. Roy. Soc. London A, 115, 513–583.CrossRefGoogle Scholar
  2. 2.
    Gavrilov, L. A., and Gavrilova, N. S. (1991) Biology of Longevity [in Russian], Nauka, Moscow.Google Scholar
  3. 3.
    Lamb, M. J. (1977) Biology of Aging, Blackie, Glasgow.Google Scholar
  4. 4.
    Mylnikov, S. V., Oparina, T. I., and Bychkovskaya, I. B. (2015) On the discontinuous character of annuity curves. Commu–nication 1. Deviations from the Gompertz law in Drosophila melanogaster Canton–S line, Usp. Gerontol., 28, 624–628.Google Scholar
  5. 5.
    Malygin, A. G. (2017) New data on programmed risks of death in normal mice and mutants with growth delay, Biochemistry (Moscow), 82, 834–843.CrossRefGoogle Scholar
  6. 6.
    Malygin, A. G. (2012) Variations in the lifespan of mice during the periods of growth and aging, Dokl. MOIP Sekt. Gerontol., 50, 56–65.Google Scholar
  7. 7.
    Malygin, A. G. (2013) Graduated change of life expectan–cy in mice ontogenesis, Rus. J. Dev. Biol., 44, 48–55.CrossRefGoogle Scholar
  8. 8.
    Malygin, A. G. (2013) Age fluctuations in mortality of mice with mutation causing growth retardation, Biochemistry (Moscow), 78, 1033–1042.CrossRefGoogle Scholar
  9. 9.
    Makeham, W. M. (1860) On the law of mortality and the construction of annuity tables, J. Inst. Actuaries, 8, 301–310.CrossRefGoogle Scholar
  10. 10.
    Skulachev, V. P. (2012) What is “phenoptosis” and how to fight it? Biochemistry (Moscow), 77, 827–846.CrossRefGoogle Scholar
  11. 11.
    Skulachev, V. P., Skulachev, M. V., and Fenyuk, B. A. (2014) Life without Aging [in Russian], EKSMO, Moscow.Google Scholar
  12. 12.
    Anisimov, V. N. (2008) Molecular and Physiological Mechanisms of Aging [in Russian], Nauka, St. Petersburg.Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Bach Institute of Biochemistry, Research Center of BiotechnologyRussian Academy of SciencesMoscowRussia

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