The process of regeneration has been often compared to the process by
which a broken crystal completes itself. Herbert Spencer, in particular,
has elaborated this idea. In his book on the _Principles of Biology_, he
says: “What must we say of the ability an organism has to recomplete
itself when one of its parts is cut off? Is it of the same order as the
ability of an injured crystal to recomplete itself? In either case new
matter is so deposited as to restore the original outline. And if, in
the case of a crystal, we say that the whole aggregate exerts over its
parts a force which constrains the newly integrated molecules to take a
certain definite form, we seem obliged, in the case of the organism, to
assume an analogous force.” Spencer has called attention to a
superficial resemblance between the renewal of a part of a crystal and
the regeneration of an animal, and without further inquiry into the
profound differences between the processes, assumes that “analogous
forces” are at work. Now that we know something more of both processes,
we find so much that is totally different, that there remains no basis
for Spencer’s conclusion, namely, that analogous forces must be present.
Furthermore, Spencer’s statement that the whole crystal aggregate exerts
over its parts a force of some kind is diametrically opposed to our idea
as to the method of “growth” of a crystal in a saturated solution. The
new material is added always at the surface of the crystal, and the
growth of each point is self-determining. There is no central force that
controls the deposition of new material in the different regions.
Rauber’s work on the so-called regeneration of the crystal has given us
a clearer conception of how the process is brought about. He has shown
that when a piece is broken from a crystal, and the crystal suspended in
a saturated solution of the same substance, it becomes larger by the
deposition of new material _over all its surfaces_. The addition of new
material may be more rapid over the cut-surface than elsewhere, but it
must not be supposed that the more rapid “growth” takes place in order
to complete the form of the crystal, for the growth over the cut-surface
follows precisely the same laws that regulate the “growth” over all the
other surfaces, that is taking place at the same time. In this respect
we find an essential difference between the regeneration of a crystal
and that of an animal, since in the latter the growth takes place only
over the cut-surface; and, in forms that regenerate by proliferation, at
the expense of the old material, so that the old material is
correspondingly diminished as the new part grows larger. Regeneration
may even take place in an animal deprived of all food, and also in one
that is starving to death and diminishing in size. In those forms that
regenerate by a change in shape of the entire piece into that
characteristic of the typical form, the process bears not even the
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