a constant depending on the unit of mass and on the specific weight of
the substance of which the crystal was composed. If we take a series of
crystals of increasing size, this relation holds for every one of them:
_M_ = _al_^3, _M_ being the mass, _a_ the constant referred to above,
and _l_, the independent variable, being any one length of a side of
the crystal.
If the organism grows by accretion in the same way as does a crystal,
this relation ought also to hold in all the exclusiveness with which
we expect it to hold in the growth of a crystal. But it does not so
grow. Its growth is something essentially different, and none of
the superficial analogies so prevalent nowadays ought to obscure
this difference. The organism may grow by accretion, thus layers of
calcareous matter may be added to the outside of a membrane bone
from the investing periosteum, or it may grow by the deposition
of matter within the actual cell bodies, (the process of growth
by intussusception of the plant physiologists). But the extent of
growth by accretion is strictly limited in all organisms: for each
there is a maximal mass determined by the nature of the animal or
plant, and this mass is that of the unicellular organism itself, or
that of the cells of which the multi-cellular organism is composed.
There may also be growth by accretion in the case of the formation of
skeletal structures, which are laid down by the agency of the cells
of the organism but if we confine our attention to the growth of the
actual living substance we shall see that accretion ceases when the
mass characteristic of the cells has been attained, when growth by
dissociation begins. The cell then divides, and each of the parts
into which it has divided grows to the limiting size, and division
again occurs. This is what happens in the case of the growth of the
Sea-urchin egg to form the larva, or blastula. The ovum segments
into two blastomeres, each of which then grows to a certain extent,
and again segments into two blastomeres. After the completion of ten
divisions there are about 1000 cells which are arranged so as to form a
hollow ball--the blastula.
[Illustration: FIG. 20.--The Sea-urchin Gastrula larva in section.]
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