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FOOTNOTES:

[1] Wilson (’00) describes it as Pelomyxa, but it has much closer affinities with Amoeba. It is in fact perhaps the closest relative of Amoeba proteus. Ectoplasm formation, and especially the formation of ectoplasmic ridges in carolinensis, is exactly like that in proteus.

[2] This is shown by the fact that after this ameba has taken on a spherical shape due to some disturbance in the water, the number of small ridgeless pseudopods thrown out upon resuming movement, is about the same as in dubia; but after ridges begin to form, the number of pseudopods decreases.

[3] That is, resemblances in nuclear division stages are not correlated with corresponding degrees of resemblance in somatic characters. It is not generally held that the shape or size or number of chromosomes is correlated with any external characters. It is the presence of hypothetical factors or genes which are held to be correlated with somatic characters and their number or arrangement in a chromosome is not in any way related to their character.

[4] It is possible that Gruber was led to suggest a gelatinous composition for the layer in question on the strength of assertions made by several writers that amebas secrete mucus. It is true that amebas may be displaced by threads of mucus hanging to glass needles which has collected on the needles while manipulating the amebas in the culture medium, but that is not to be taken as evidence that the mucus is secreted by the amebas. Ameba cultures are always full of gelatinous material formed by bacteria. I have not thus far been able to convince myself that amebas actually secrete mucus.

[5] According to Ewart (’03) the viscosity of streaming protoplasm in plant cells lies between ? = .04 and ? = .2. But the velocity of streaming endoplasm in ameba is considerably slower than that in the plant cells which formed the basis for Ewart’s calculations. In comparison, we may estimate the viscosity of the endoplasm of ameba as ? = .1 dynes per sq. cm. The velocity of streaming endoplasm, as ascertained by observations on Amoeba dubia (in which the endoplasm flows usually rapidly) is 1/880 cm. per second.

Now, given a unit mass of endoplasm moving at a given instant with a 1 velocity of 1/880 cm. per second against viscosity of ? = .1 dynes per sq. how far will the unit mass travel before coming to rest?

Force = Mass × Acceleration, and Acceleration = Velocity/Time.

? = Viscosity = F = MA = MV/T.

Now if M = 1, ? = F = A = V/T.

T = V/? = 1/880/.1 = 1/88.

The space travelled over in uniformly accelerated motion equals

S = 1/2 AT² = 1/2 × 1/10 × (1/88)² = 1/154880 = .00000645 cm.

If, therefore, the force moving the central stream of endoplasm should suddenly be discontinued, the resistance offered by the viscosity of the enveloping endoplasm would allow it to move only .0000645 mm. before coming to rest. But the ameba as a whole moves more slowly than the central stream of endoplasm, the average rate of movement being about 1/300 mm. per second. The effect of the streaming endoplasm on the forward movement of the whole ameba would therefore be correspondingly decreased. Now if the ameba was perfectly homogeneous and perfectly symmetrical, and free from external stimulation, and moved in a perfectly homogeneous liquid on a perfectly plane surface, the excessively small amount of mechanical inertia would then be sufficient, theoretically, to cause the ameba to move in a straight instead of an irregular path. But these conditions are never realized. The ameba is unsymmetrical in form, heterogeneous in composition and always unsymmetrically stimulated; hence it is impossible that the excessively small amount of mechanical inertia can be considered a factor in determining the direction of the ameba’s path.

[6] The gap between the rate of movement of a pseudopod and that of a flagellum is however very wide. Insofar as the character of the movement is concerned, pseudopods such as those of flagellipodia, probably resemble the flagella of the soil ameba and of flagellates. But the very much greater speed of contraction of a flagellum and the presence of a special organ (blepharoplast) at the base of the flagellum, and their connection with the nucleus, indicates that a special mechanism is necessary to cause the rapid contraction. A flagellum appears to be a pseudopod supplied with something like nerve tissue and a ganglion capable of setting free a rapid succession of impulses.

[7] It should be added here that since this paragraph was written I have been very fortunate to secure numerous records of paths swam by blindfolded swimmers, which strikingly resemble those of persons walking blindfolded as described above. Most of the common swimming strokes were employed in these observations and occasionally several strokes were employed in a single experiment. In a few cases the spiral path was made up of over twenty turns, and in one case of over fifty turns. A fuller discussion of these results does not seem pertinent here, and must be deferred to a later date.

[8] Since this was written I have been able to examine the movement of live sperm cells in a number of representative animals, including the jellyfish Aurelia; the molluscs Ostrea, Solemya, Pandora; the arthropods Limulus and Anisolabia, and the vertebrates frog, turtle, snake, cat, dog and man, with the result that all these spermatozoa revolve on their long axes and swim in spiral paths resembling those of flagellates. Owing to their minute size their movements are made out only with great difficulty, but so far as could be determined all the sperms of any one species turn on their axes in the same way, that is, either right-handed or left-handed. Recently there has also come to my notice the very informing paper of W. D. Hoyt, 1910, in the Botanical Gazette, in which it is stated that fern sperms of various species swim in spiral paths.







                                                                                                                                                                                                                                                                                                           

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