The rate at which contraction-waves traverse spiral strips of Aurelia
is variable. It is largely determined by the length and width of
the strip; so that the best form of strip to use for the purpose
of ascertaining the _maximum_ rate is one which I shall call the
circular strip. A circular strip is obtained by first cutting out
the central bodies (_i.e._ manubrium and ovaries), and then, with a
single radial cut, converting the animal from the form of an open
ring to that of a continuous band. I distinguish this by the name
"circular" band or strip, because the two ends tend to preserve their
original relative positions, so giving the strip more or less of a
circular form. Such a strip has the advantage of presenting all the
contractile tissue of the swimming-bell in one continuous band of
the greatest possible width, and is therefore the form of strip that
yields the _maximum_ rate at which contraction-waves are able to
pass. The reason why the _maximum_ rate should be the one sought for
is because this is the rate which must most nearly approximate the
natural rate of contraction-waves in the unmutilated animal. This
rate, at the temperature of the sea and with vigorous specimens, I
find to be eighteen inches per second.
In a circular strip the rate of the waves is uniform over the whole
extent of the strip; so that the time of their transit from one
point to another varies directly as the length of the strip. But
on now narrowing such a strip, although the rate is thus slowed,
the relation between the narrowing and the slowing is not nearly so
precise as to admit of our saying that the rate varies inversely as
the width. The following figure will serve to show the proportional
extent to which the passage of contraction-waves is retarded by
narrowing the area through which they pass:--
[Illustration: Fig. 13.
Time from end to end of a circular strip ...
Time after width has been reduced to one-half ...
Time after width has been reduced to one-quarter ...
Time after width has been reduced to one-eighth ...
Fig. 14.
In such experiments it generally happens, as here represented,
that reducing the width of a circular strip by one-half produces
no effect, or only a slight effect, on the rate, while further
narrowing to the degree mentioned produces a conspicuous
effect. I may also state that if, as occasionally happens, the
immediate effect of narrowing a circular strip to one-half is to
temporarily block the contraction-waves, when the latter again
force their passage, their rate is slower than it was before. It
seems as if the more pervious tissue tracts having been destroyed
by the section, the less pervious ones, though still able to
convey the contraction-wave, are not able to convey it so rapidly
as were the more pervious tracts.]
[Illustration: Fig. 14.]
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