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The United Equation of Animal Growth

Received: 9 August 2015     Accepted: 13 August 2015     Published: 21 August 2015
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Abstract

The equation that can describe all known types of animal growth is proposed. The equation contains two basic coefficients, one of which determines the initial rate of growth; the other determines the change of the growth rate. In separate cases two correction coefficients should be taken into account, one of which is connected with morphogenetic processes and the other is connected with spontaneous decrease of the body weight. Biorhythms that accompany growth process can be described by the equation as well. Linear recursive form of the equation allows to use regression analysis and, therefore, comparative intrapopulation, interpopulation and interspecies analysis of growth. Examples of approximation by the equation of own and literature experimental data are shown. Values of the coefficients of the equation for different types of growth in different stages of ontogenesis of the various animal systematic groups are calculated. The equation is suitable to describe change of any biological parameter which is associated with body weight by allometric (power) dependence

Published in American Journal of Life Sciences (Volume 3, Issue 5)
DOI 10.11648/j.ajls.20150305.12
Page(s) 345-351
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2015. Published by Science Publishing Group

Keywords

Body Weight Changes, Developmental Biology, Growth, Mathematical Model

References
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  • @article{10.11648/j.ajls.20150305.12,
      author = {Alexey A. Zotin},
      title = {The United Equation of Animal Growth},
      journal = {American Journal of Life Sciences},
      volume = {3},
      number = {5},
      pages = {345-351},
      doi = {10.11648/j.ajls.20150305.12},
      url = {https://doi.org/10.11648/j.ajls.20150305.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajls.20150305.12},
      abstract = {The equation that can describe all known types of animal growth is proposed. The equation contains two basic coefficients, one of which determines the initial rate of growth; the other determines the change of the growth rate. In separate cases two correction coefficients should be taken into account, one of which is connected with morphogenetic processes and the other is connected with spontaneous decrease of the body weight. Biorhythms that accompany growth process can be described by the equation as well. Linear recursive form of the equation allows to use regression analysis and, therefore, comparative intrapopulation, interpopulation and interspecies analysis of growth. Examples of approximation by the equation of own and literature experimental data are shown. Values of the coefficients of the equation for different types of growth in different stages of ontogenesis of the various animal systematic groups are calculated. The equation is suitable to describe change of any biological parameter which is associated with body weight by allometric (power) dependence},
     year = {2015}
    }
    

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    T1  - The United Equation of Animal Growth
    AU  - Alexey A. Zotin
    Y1  - 2015/08/21
    PY  - 2015
    N1  - https://doi.org/10.11648/j.ajls.20150305.12
    DO  - 10.11648/j.ajls.20150305.12
    T2  - American Journal of Life Sciences
    JF  - American Journal of Life Sciences
    JO  - American Journal of Life Sciences
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    PB  - Science Publishing Group
    SN  - 2328-5737
    UR  - https://doi.org/10.11648/j.ajls.20150305.12
    AB  - The equation that can describe all known types of animal growth is proposed. The equation contains two basic coefficients, one of which determines the initial rate of growth; the other determines the change of the growth rate. In separate cases two correction coefficients should be taken into account, one of which is connected with morphogenetic processes and the other is connected with spontaneous decrease of the body weight. Biorhythms that accompany growth process can be described by the equation as well. Linear recursive form of the equation allows to use regression analysis and, therefore, comparative intrapopulation, interpopulation and interspecies analysis of growth. Examples of approximation by the equation of own and literature experimental data are shown. Values of the coefficients of the equation for different types of growth in different stages of ontogenesis of the various animal systematic groups are calculated. The equation is suitable to describe change of any biological parameter which is associated with body weight by allometric (power) dependence
    VL  - 3
    IS  - 5
    ER  - 

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Author Information
  • Laboratory of Evolutional Developmental Biology, Kol’tsov Institute of Developmental Biology of The Russian Academy of Sciences, Moscow, Russia

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