H.S. Kwak, H.G. Im, E.B. Shim
Medicine Research, 5(1), pp. 30-36, (2016)
which represents the dependence of biological traits or processes on
body size, is a long-standing subject in biological science. However,
there has been no study to consider heat loss to the ambient and an
insulation layer representing mammalian skin and fur for the derivation
of the scaling law of metabolism.
simple heat transfer model is proposed to analyze the allometry of
mammalian metabolism. The present model extends existing studies by
incorporating various external heat transfer parameters and additional
insulation layers. The model equations were solved numerically and by an
analytic heat balance approach.
general observation is that the present heat transfer model predicted
the 2/3 surface scaling law, which is primarily attributed to the
dependence of the surface area on the body mass. External heat transfer
effects introduced deviations in the scaling law, mainly due to natural
convection heat transfer, which becomes more prominent at smaller mass.
These deviations resulted in a slight modification of the scaling
exponent to a value < 2/3.
finding that additional radiative heat loss and the consideration of an
outer insulation fur layer attenuate these deviation effects and render
the scaling law closer to 2/3 provides in silico evidence for a
functional impact of heat transfer mode on the allometric scaling law in