120
F. KRUGER
built into the structure of the muscle; this is a part of the "Struktur-Energie"
which escapes without being utilized as entropy. These derivations seem
to me rather obvious and also very important for the evaluation of our
experiments.
Another example are the experiments cited by VON BERTALANFFY [4]
at the first symposium four years ago. He showed graphs of the respiration
of rats of different size under basal and active conditions. Both curves show
a break at a weight of about 100 g. I think that this break coincides with
the puberty where the rate of growth decreases, as VON BERTALANFFY
described 20 years ago [2]. I confirmed this break at the last Symposium [8],
using my own growth formula. This break in the growth curve shows the
decrease of anabolism closely allied with the rate of growth as we have
seen. It is also found in other growth phenomena in the rat [13].
The curves for the respiration of the active rats are more highly situated,
which may easily be understood. They also show the break at puberty.
An astonishing fact is that the curves for the active animals show less of a
slope. LOCKER [9] was the first to observe this phenomenon.
I think that the concept of the "Struktur-Energie" gives a simple explanation for this phenomenon. If we introduce the concept of the "StrukturEnergie", we have to distinguish three forms of energy metabolism:
1) the metabolism which supplies the need for the "Struktur-Energie"
for the existing substance,
2) the need in energy for the organization of new substance,
3) the need for the activity of the animal.
Among these the "Struktur-Energie" is distinguished by a low allometric exponent, as we have seen. The active animal consumes the glycogen
in its muscles. This glycogen in the muscles represents a part of the body
mass which must be restored. This restauration is not connected with
addition of new matter and therefore represents an unalloyed "StrukturEnergie". Hence, in the active arumal "Struktur-Energie" with its lower
exponent represents a larger share of the total metabolism and reduces the
value of the exponent. Introducing the concept of the "Struktur-Energie"
we are able to explain the LOCKER-phenomenon.
Value of Mathematical Models of Growth
Growth represents a fundamental quality of the living matter. It is not
possible to describe growth exactly without mathematics. Thence the search
for suitable mathematical formulations of growth is a very important biological problem.
The process of growth may be described mathematically only by exponential functions. The same is the case in other vital processes. Therefore,
the more intimate analysis of growth processes requires the insight into
Précédent

- 135/311

Suivant