Dimensional analysis revisited

The applicability of dimensional analysis (DA) is discussed in relation to the metabolic scaling laws. The evolution of different theories of biological similarity has shown that the calculated reduced exponents (b) of Huxley's allometric equation are closely correlated with the numerical value...

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Autores principales:	GÜNTHER,BRUNO, MORGADO,ENRIQUE
Lenguaje:	English
Publicado:	Sociedad de Biología de Chile 2003
Materias:	Dimensional analysis Allometric scaling Theories of biological similarity Body mass Body weight
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-97602003000300011
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spelling	oai:scielo:S0716-976020030003000112004-08-17Dimensional analysis revisitedGÜNTHER,BRUNOMORGADO,ENRIQUE Dimensional analysis Allometric scaling Theories of biological similarity Body mass Body weight The applicability of dimensional analysis (DA) is discussed in relation to the metabolic scaling laws. The evolution of different theories of biological similarity has shown that the calculated reduced exponents (b) of Huxley's allometric equation are closely correlated with the numerical values obtained from the statistical analysis of empirical data. Body mass and body weight are not equivalent as biological reference systems, since in accordance to Newton's second law, the former has a dimension of a mass, while the latter should be dimensionally considered as a force (W = MLT-2). This distinction affects the coefficients of the mass exponent (a). This difference is of paramount importance in microgravity conditions (spaceflight) and of buoyancy during the fetal life in mammals. Furthermore, the coefficients (ß) of the length dimension, and (g) of the time dimension do not vary when mass or weight are utilized as reference systems. Consequently, the "specific metabolic time," that results from the ratio of basal oxygen consumption and body mass or body weight yields the "biological meaning" of the time dimension, which is of fractal nature.info:eu-repo/semantics/openAccessSociedad de Biología de ChileBiological Research v.36 n.3-4 20032003-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-97602003000300011en10.4067/S0716-97602003000300011
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Dimensional analysis Allometric scaling Theories of biological similarity Body mass Body weight
spellingShingle	Dimensional analysis Allometric scaling Theories of biological similarity Body mass Body weight GÜNTHER,BRUNO MORGADO,ENRIQUE Dimensional analysis revisited
description	The applicability of dimensional analysis (DA) is discussed in relation to the metabolic scaling laws. The evolution of different theories of biological similarity has shown that the calculated reduced exponents (b) of Huxley's allometric equation are closely correlated with the numerical values obtained from the statistical analysis of empirical data. Body mass and body weight are not equivalent as biological reference systems, since in accordance to Newton's second law, the former has a dimension of a mass, while the latter should be dimensionally considered as a force (W = MLT-2). This distinction affects the coefficients of the mass exponent (a). This difference is of paramount importance in microgravity conditions (spaceflight) and of buoyancy during the fetal life in mammals. Furthermore, the coefficients (ß) of the length dimension, and (g) of the time dimension do not vary when mass or weight are utilized as reference systems. Consequently, the "specific metabolic time," that results from the ratio of basal oxygen consumption and body mass or body weight yields the "biological meaning" of the time dimension, which is of fractal nature.
author	GÜNTHER,BRUNO MORGADO,ENRIQUE
author_facet	GÜNTHER,BRUNO MORGADO,ENRIQUE
author_sort	GÜNTHER,BRUNO
title	Dimensional analysis revisited
title_short	Dimensional analysis revisited
title_full	Dimensional analysis revisited
title_fullStr	Dimensional analysis revisited
title_full_unstemmed	Dimensional analysis revisited
title_sort	dimensional analysis revisited
publisher	Sociedad de Biología de Chile
publishDate	2003
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-97602003000300011
work_keys_str_mv	AT guntherbruno dimensionalanalysisrevisited AT morgadoenrique dimensionalanalysisrevisited
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Dimensional analysis revisited

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