Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Energy intake functions of ectotherms and endotherms derived from their
  body mass growth   How animals allocate energy to different body functions is still not
completely understood and a challenging topic until recently. Here, we
investigate in more detail the allocation of energy intake to growth,
reproduction or heat production by developing energy budget models for
ectothermic and endothermic vertebrates using a mathematical approach. We
calculated energy intake functions of ectotherms and endotherms derived from
their body mass growth. We show that our energy budget model produces energy
intake patterns and distributions as observed in ectothermic and endothermic
species. Our results comply consistently with some empirical studies that in
endothermic species, like birds and mammals, energy is used for heat production
instead of growth. Our model additionally offers an explanation on known
differences in absolute energy intake between ectothermic fish and reptiles and
endothermic birds and mammals. From a mathematical point of view, the model
comes in two equivalent formulations, a differential and an integral one. It is
derived from a discrete level approach, and it is shown to be well-posed and to
attain a unique solution for (almost) every parameter set. Numerically, the
integral formulation of the model is considered as an inverse problem with
unknown parameters that are estimated using a series of experiments/realistic
data.

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The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph