Literature DB >> 25917380

A universal model of ontogenetic growth.

Leonid M Martyushev1, Pavel S Terentiev.   

Abstract

The assumption that a single growth equation can be used to describe all biological objects on different organizational levels and a dimensional analysis are applied in order to substantiate universal model of ontogenetic growth. This model (the mass of a growing organism is a power function of time) is valid only in the initial period of growth. For the whole period of growth, a generalization of the model is advanced; it provides the same accuracy as previously known models of quantitative description of kinetic curves. Within the scope of the developed model, a number of interesting results related to allometry and biological time are obtained.

Mesh:

Year:  2015        PMID: 25917380     DOI: 10.1007/s00114-015-1278-3

Source DB:  PubMed          Journal:  Naturwissenschaften        ISSN: 0028-1042


  35 in total

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Authors:  L VON BERTALANFFY
Journal:  Q Rev Biol       Date:  1957-09       Impact factor: 4.875

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Authors:  D J Forsyth
Journal:  J Mammal       Date:  1976-11       Impact factor: 2.416

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Authors:  A A Zotin; A I Zotin
Journal:  Int J Dev Biol       Date:  1997-12       Impact factor: 2.203

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Authors:  I Schmalhausen
Journal:  Wilhelm Roux Arch Entwickl Mech Org       Date:  1928-07

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Authors:  I Schmalhausen
Journal:  Wilhelm Roux Arch Entwickl Mech Org       Date:  1930-03

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Authors:  I W Richardson; R Rosen
Journal:  J Theor Biol       Date:  1979-08-21       Impact factor: 2.691

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Authors:  T H Yosida
Journal:  Lab Anim       Date:  1978-04       Impact factor: 2.471

8.  Energy uptake and allocation during ontogeny.

Authors:  Chen Hou; Wenyun Zuo; Melanie E Moses; William H Woodruff; James H Brown; Geoffrey B West
Journal:  Science       Date:  2008-10-31       Impact factor: 47.728

Review 9.  Deciphering death: a commentary on Gompertz (1825) 'On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies'.

Authors:  Thomas B L Kirkwood
Journal:  Philos Trans R Soc Lond B Biol Sci       Date:  2015-04-19       Impact factor: 6.237

10.  PHYSIOLOGICAL ONTOGENY : A. CHICKEN EMBRYOS. III. WEIGHT AND GROWTH RATE AS FUNCTIONS OF AGE.

Authors:  H A Murray
Journal:  J Gen Physiol       Date:  1925-09-20       Impact factor: 4.086

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  1 in total

1.  From an Entropic Measure of Time to Laws of Motion.

Authors:  Leonid M Martyushev; Evgenii V Shaiapin
Journal:  Entropy (Basel)       Date:  2019-02-26       Impact factor: 2.524

  1 in total

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