CHAPTER IX

ON CONCRETIONS, SPICULES, AND SPICULAR SKELETONS

The deposition of inorganic material in the living body, usually in the

form of calcium salts or of silica, is a very common and wide-spread

phenomenon. It begins in simple ways, by the appearance of small

isolated particles, crystalline or non-crystalline, whose form has

little relation or sometimes none to the structure of the organism; it

culminates in the complex skeletons of the vertebrate animals, in the

massive skeletons of the corals, or in the polished, sculptured and

mathematically regular molluscan shells. Even among many very simple

organisms, such as the Diatoms, the Radiolarians, the Foraminifera,

or the Sponges, the skeleton displays extraordinary variety and

beauty, whether by reason of the intrinsic form of its elementary

constituents or the geometric symmetry with which these are arranged

and interconnected.

With regard to the form of these various structures (and this is

all that immediately concerns us here), it is plain that we have to

do with two distinct problems, which however, though theoretically

distinct, may merge with one another. For the form of the spicule or

other skeletal element may depend simply upon its chemical nature, as

for instance, to take a simple but not the only case, when the form is

purely crystalline; or the inorganic solid material may be laid down

in conformity with the shapes assumed by the cells, tissues or organs,

and so be, as it were, moulded to the shape of the living organism; and

again, there may well be intermediate stages in which both phenomena

may be simultaneously recognised, the molecular forces playing their

part in conjunction with, and under the restraint of, the other forces

inherent in the system. {412}

So far as the problem is a purely chemical one, we must deal with it

very briefly indeed; and all the more because special investigations

regarding it have as yet been few, and even the main facts of the case

are very imperfectly known. This at least is evident, that the whole

series of phenomena with which we are about to deal go deep into the

subject of colloid chemistry, and especially with that branch of the

science which deals with the properties of colloids in connection with

capillary or surface phenomena. It is to the special student of colloid

chemistry that we must ultimately and chiefly look for the elucidation

of our problem[406].

In the first and simplest part of our subject, the essential problem

is the problem of crystallisation in presence of colloids. In the

cells of plants, true crystals are found in comparative abundance,

and they consist, in the great majority of cases, of calcium oxalate.

In the stem and root of the rhubarb, for instance, in the leaf-stalk

of Begonia, and in countless other cases, sometimes within the cell,

sometimes in the substance of the cell-wall, we find large and

well-formed crystals of this salt; their varieties of form, which are

extremely numerous, are simply the crystalline forms proper to the salt

itself, and belong to the two systems, cubic and monoclinic, in one or

other of which, according to the amount of water of crystallisation,

this salt is known to crystallise. When calcium oxalate crystallises

according to the latter system (as it does when its molecule is

combined with two molecules of water of crystallisation), the

microscopic crystals have the form of fine needles, or “raphides,” such

as are very common in plants; and it has been found that these are

artificially produced when the salt is crystallised out in presence of

glucose or of dextrin[407].

[Illustration: Fig. 194. Alcyonarian spicules: _Siphonogorgia_ and

_Anthogorgia_. (After Studer.)]

Calcium carbonate, on the other hand, when it occurs in plant-cells (as

it does abundantly, for instance in the “cystoliths” of the Urticaceae

and Acanthaceae, and in great quantities in Melobesia {413} and the

other calcareous or “stony” algae), appears in the form of fine rounded

granules, whose inherent crystalline structure is not outwardly

visible, but is only revealed (like that of a molluscan shell) under

polarised light. Among animals, a skeleton of carbonate of lime occurs

under a multitude of forms, of which we need only mention now a very

few of the most conspicuous. The spicules of the calcareous sponges

are triradiate, occasionally quadriradiate, bodies, with pointed rays,

not crystalline in outward form but with a definitely crystalline

internal structure. We shall return again to these, and find for them

what would seem to be a satisfactory explanation of their form. Among

the Alcyonarian zoophytes we have a great variety of spicules[408],

which are sometimes straight and slender rods, sometimes flattened and

more or less striated plates, and still more often rounded or branched

concretions with rough or knobby surfaces (Figs. 194, 200). A third

type, presented by several very different things, such as a pearl, or

the ear-bone of a bony fish, consists of a more or less {414} rounded

body, sometimes spherical, sometimes flattened, in which the calcareous

matter is laid down in concentric zones, denser and clearer layers

alternating with one another. In the development of the molluscan shell

and in the calcification of a bird’s egg or the shell of a crab, for

instance, spheroidal bodies with similar concentric striation make

their appearance; but instead of remaining separate they become crowded

together, and as they coalesce they combine to form a pattern of

hexagons. In some cases, the carbonate of lime on being dissolved away

by acid leaves behind it a certain small amount of organic residue; in

most cases other salts, such as phosphates of lime, ammonia or magnesia

are present in small quantities; and in most cases if not all the

developing spicule or concretion is somehow or other so associated with

living cells that we are apt to take it for granted that it owes its

peculiarities of form to the constructive or plastic agency of these.

The appearance of direct association with living cells, however, is

apt to be fallacious; for the actual _precipitation_ takes place,

as a rule, not in actively living, but in dead or at least inactive

tissue[409]: that is to say in the “formed material” or matrix which

(as for instance in cartilage) accumulates round the living cells, in

the interspaces between these latter, or at least, as often happens,

in connection with the cell-wall or cell-membrane rather than within

the substance of the protoplasm itself. We need not go the length of

asserting that this is a rule without exception; but, so far as it

goes, it is of great importance and to its consideration we shall

presently return[410].

Cognate with this is the fact that it is known, at least in some

cases, that the organism can go on living and multiplying with

apparently unimpaired health, when stinted or even wholly deprived

of the material of which it is wont to make its spicules {415} or

its shell. Thus, Pouchet and Chabry[411] have shown that the eggs of

sea-urchins reared in lime-free water develop in apparent health, into

larvae entirely destitute of the usual skeleton of calcareous rods,

and in which, accordingly, the long arms of the Pluteus larva, which

the rods support and distend, are entirely suppressed. And again,

when Foraminifera are kept for generations in water from which they

gradually exhaust the lime, their shells grow hyaline and transparent,

and seem to consist only of chitinous material. On the other hand,

in the presence of excess of lime, the shells become much altered,

strengthened with various “ornaments,” and assuming characters

described as proper to other varieties and even species[412].

The crucial experiment, then, is to attempt the formation of similar

structures or forms, apart from the living organism: but, however

feasible the attempt may be in theory, we shall be prepared from the

first to encounter difficulties, and to realise that, though the

actions involved may be wholly within the range of chemistry and

physics, yet the actual conditions of the case may be so complex,

subtle and delicate, that only now and then, and in the simplest of

cases, shall we find ourselves in a position to imitate them completely

and successfully. Such an investigation is only part of that much

wider field of enquiry through which Stephane Leduc and many other

workers[413] have sought to produce, by synthetic means, forms similar

to those of living things; but it is a well-defined and circumscribed

part of that wider investigation. When by chemical or physical

experiment we obtain configurations similar, for instance, to the

phenomena of nuclear division, or conformations similar to a pattern of

hexagonal cells, or a group of vesicles which resemble some particular

tissue or cell-aggregate, we indeed prove what it is the main object of

this book to illustrate, namely, that the physical forces are capable

of producing particular organic forms. But it is by no means always

that we can feel perfectly assured that the physical forces which

we deal with in our experiment are identical with, and not merely

analogous to, {416} the physical forces which, at work in nature, are

bringing about the result which we have succeeded in imitating. In

the present case, however, our enquiry is restricted and apparently

simplified; we are seeking in the first instance to obtain by purely

chemical means a purely chemical result, and there is little room for

ambiguity in our interpretation of the experiment.

――――――――――

When we find ourselves investigating the forms assumed by chemical

compounds under the peculiar circumstances of association with a

living body, and when we find these forms to be characteristic or

recognisable, and somehow different from those which, under other

circumstances, the same substance is wont to assume, an analogy

presents itself to our minds, captivating though perhaps somewhat

remote, between this subject of ours and certain synthetic problems of

the organic chemist. There is doubtless an essential difference, as

well as a difference of scale, between the visible form of a spicule

or concretion and the hypothetical form of an individual molecule;

but molecular form is a very important concept; and the chemist has

not only succeeded, since the days of Wöhler, in synthesising many

substances which are characteristically associated with living matter,

but his task has included the attempt to account for the molecular

_forms_ of certain “asymmetric” substances, glucose, malic acid and

many more, as they occur in nature. These are bodies which, when

artificially synthesised, have no optical activity, but which, as we

actually find them in organisms, turn (when _in solution_) the plane

of polarised light in one direction or the other; thus dextro-glucose

and laevomalic acid are common products of plant metabolism; but

dextromalic acid and laevo-glucose do not occur in nature at all. The

optical activity of these bodies depends, as Pasteur shewed more than

fifty years ago[414], upon the form, right-handed or left-handed,

of their molecules, which molecular asymmetry further gives rise to

a corresponding right or left-handedness (or enantiomorphism) in

the crystalline aggregates. It is a distinct problem in organic or

physiological chemistry, {417} and by no means without its interest

for the morphologist, to discover how it is that nature, for each

particular substance, habitually builds up, or at least selects, its

molecules in a one-sided fashion, right-handed or left-handed as the

case may be. It will serve us no better to assert that this phenomenon

has its origin in “fortuity,” than to repeat the Abbé Galiani’s saying,

“_les dés de la nature sont pipés._”

The problem is not so closely related to our immediate subject that

we need discuss it at length; but at the same time it has its clear

relation to the general question of _form_ in relation to vital

phenomena, and moreover it has acquired interest as a theme of

long-continued discussion and new importance from some comparatively

recent discoveries.

According to Pasteur, there lay in the molecular asymmetry of the

natural bodies and the symmetry of the artificial products, one of the

most deep-seated differences between vital and non-vital phenomena:

he went further, and declared that “this was perhaps the _only_

well-marked line of demarcation that can at present [1860] be drawn

between the chemistry of dead and of living matter.” Nearly forty

years afterwards the same theme was pursued and elaborated by Japp in

a celebrated lecture[415], and the distinction still has its weight, I

believe, in the minds of many if not most chemists.

“We arrive at the conclusion,” said Professor Japp, “that the

production of single asymmetric compounds, or their isolation from

the mixture of their enantiomorphs, is, as Pasteur firmly held,

the prerogative of life. Only the living organism, or the living

intelligence with its conception of asymmetry, can produce this

result. Only asymmetry can beget asymmetry.” In these last words

(which, so far as the chemist and the biologist are concerned, we

may acknowledge to be perfectly true[416]) lies the {418} crux of

the difficulty; for they at once bid us enquire whether in nature,

external to and antecedent to life, there be not some asymmetry to

which we may refer the further propagation or “begetting” of the new

asymmetries: or whether in default thereof, we be rigorously confined

to the conclusion, from which Japp “saw no escape,” that “at the moment

when life first arose, a directive force came into play,—a force of

precisely the same character as that which enables the intelligent

operator, by the exercise of his will, to select one crystallised

enantiomorph and reject its asymmetric opposite[417].”

Observe that it is only the first beginnings of chemical asymmetry

that we need to discover; for when asymmetry is once manifested, it is

not disputed that it will continue “to beget asymmetry.” A plausible

suggestion is now at hand, which if it be confirmed and extended will

supply or at least sufficiently illustrate the kind of explanation

which is required[418].

We know in the first place that in cases where ordinary non-polarised

light acts upon a chemical substance, the amount of chemical action

is proportionate to the amount of light absorbed. We know in the

second place[419], in certain cases, that light circularly polarised

is absorbed in different amounts by the right-handed or left-handed

varieties, as the case may be, of an asymmetric substance. And thirdly,

we know that a portion of the light which comes to us from the sun

is already plane-polarised light, which becomes in part circularly

polarised, by reflection (according to Jamin) at the surface of the

sea, and then rotated in a particular direction under the influence of

terrestrial magnetism. We only require to be assured that the relation

between absorption of light and chemical activity will continue to hold

good in the case of circularly polarised light; that is to say {419}

that the formation of some new substance or other, under the influence

of light so polarised, will proceed asymmetrically in consonance

with the asymmetry of the light itself; or conversely, that the

asymmetrically polarised light will tend to more rapid decomposition

of those molecules by which it is chiefly absorbed. This latter proof

is now said to be furnished by Byk[420], who asserts that certain

tartrates become unsymmetrical under the continued influence of the

asymmetric rays. Here then we seem to have an example, of a particular

kind and in a particular instance, an example limited but yet crucial

(_if confirmed_), of an asymmetric force, non-vital in its origin,

which might conceivably be the starting-point of that asymmetry which

is characteristic of so many organic products.

The mysteries of organic chemistry are great, and the differences

between its processes or reactions as they are carried out in the

organism and in the laboratory are many[421]. The actions, catalytic

and other, which go on in the living cell are of extraordinary

complexity. But the contention that they are different in kind from

what we term ordinary chemical operations, or that in the production

of single asymmetric compounds there is actually to be witnessed, as

Pasteur maintained, a “prerogative of life,” would seem to be no longer

safely tenable. And furthermore, it behoves us to remember that, even

though failure continued to attend all artificial attempts to originate

the asymmetric or optically active compounds which organic nature

produces in abundance, this would only prove that a certain _physical

force_, or mode of _physical action_, is at work among living things

though unknown elsewhere. It is a mode of action which we can easily

imagine, though the actual mechanism we cannot set agoing when we

please. And it follows that such a difference between living matter and

dead would carry us but a little way, for it would still be confined

strictly to the physical or mechanical plane.

Our historic interest in the whole question is increased by the

{420} fact, or the great probability, that “the tenacity with which

Pasteur fought against the doctrine of spontaneous generation was

not unconnected with his belief that chemical compounds of one-sided

symmetry could not arise save under the influence of life[422].” But

the question whether spontaneous generation be a fact or not does

not depend upon theoretical considerations; our negative response is

based, and is so far soundly based, on repeated failures to demonstrate

its occurrence. Many a great law of physical science, not excepting

gravitation itself, has no higher claim on our acceptance.

――――――――――

Let us return then, after this digression, to the general subject

of the forms assumed by certain chemical bodies when deposited or

precipitated within the organism, and to the question of how far these

forms may be artificially imitated or theoretically explained.

Mr George Rainey, of St Bartholomew’s Hospital (to whom we have already

referred), and Professor P. Harting, of Utrecht, were the first to

deal with this specific problem. Mr Rainey published, between 1857 and

1861, a series of valuable and thoughtful papers to shew that shell and

bone and certain other organic structures were formed “by a process

of molecular coalescence, demonstrable in certain artificially-formed

products[423].” Professor Harting, after thirty years of experimental

work, published in 1872 a paper, which has become classical, entitled

_Recherches de Morphologie Synthétique, sur la production artificielle

de quelques formations calcaires organiques_; his aim was to pave the

way for a “morphologie synthétique,” as Wöhler had laid the foundations

of a “chimie synthétique,” by his classical discovery forty years

before. {421}

[Illustration: Fig. 195. Calcospherites, or concretions of calcium

carbonate, deposited in white of egg. (After Harting.)]

[Illustration: Fig. 196. A single calcospherite, with central

“nucleus,” and striated, iridescent border. (After Harting.)]

[Illustration: Fig. 197. Later stages in the same experiment.]

[Illustration: Fig. 198, A. Section of shell of Mya; B. Section of

hinge-tooth of do. (After Carpenter.)]

Rainey and Harting used similar methods, and these were such as many

other workers have continued to employ,—partly with the direct object

of explaining the genesis of organic forms and partly as an integral

part of what is now known as Colloid Chemistry. The whole gist of the

method was to bring some soluble salt of lime, such as the chloride

or nitrate, into solution within a colloid medium, such as gum,

gelatine or albumin; and then to precipitate it out in the form of

some insoluble compound, such as the carbonate or oxalate. Harting

found that, when he added a little sodium or potassium carbonate to a

concentrated solution of calcium chloride in albumin, he got at first

a gelatinous mass, or “colloid precipitate”: which slowly transformed

by the appearance of tiny microscopic particles, at first motionless,

but afterwards as they grew larger shewing the typical Brownian

movement. So far, very much the same phenomena were witnessed whether

the solution were albuminous or not, and similar appearances indeed had

been witnessed and recorded by Gustav Rose, so far back as 1837[424];

but in the later stages the presence of albuminoid matter made a great

difference. Now, after a few days, the calcium carbonate was seen to

be deposited in the form of large rounded concretions, with a more or

less distinct central nucleus, and with a surrounding structure at once

radiate and {422} concentric; the presence of concentric zones or

lamellae, alternately dark and clear, was especially characteristic.

These round “calcospherites” shewed a tendency to aggregate together in

layers, and then to assume polyhedral, or often regularly hexagonal,

outlines. In this latter condition they closely resemble the early

stages of calcification in a molluscan (Fig. 198), or still more in a

crustacean shell[425]; while in their isolated condition {423} they

very closely resemble the little calcareous bodies in the tissues of

a trematode or a cestode worm, or in the oesophageal glands of an

earthworm[426].

[Illustration: Fig. 199. Large irregular calcareous concretions, or

spicules, deposited in a piece of dead cartilage, in presence of

calcium phosphate. (After Harting.)]

When the albumin was somewhat scanty, or when it was mixed with

gelatine, and especially when a little phosphate of lime was {424}

added to the mixture, the spheroidal globules tended to become rough,

by an outgrowth of spinous or digitiform projections; and in some

cases, but not without the presence of the phosphate, the result was an

irregularly shaped knobby spicule, precisely similar to those which are

characteristic of the Alcyonaria[427].

[Illustration: Fig. 200. Additional illustrations of Alcyonarian

spicules: _Eunicea_. (After Studer.)]

The rough spicules of the Alcyonaria are extraordinarily variable

in shape and size, as, looking at them from the chemist’s or the

physicist’s point of view, we should expect them to be. Partly upon

the form of these spicules, and partly on the general form or mode of

branching of the entire colony of polypes, a vast number of separate

“species” have been based by systematic zoologists. But it is now

admitted that even in specimens of a single species, from one and the

same locality, the spicules may vary immensely in shape and size: and

Professor Hickson declares (in a paper published while these sheets

are passing through the press) that after many years of laborious work

in striving to determine species of these animal colonies, he feels

“quite convinced that we have been engaged in a more or less fruitless

task[428]”.

The formation of a tooth has very lately been shown to be a phenomenon

of the same order. That is to say, “calcification in both dentine

and enamel {425} is in great part a physical phenomenon; the actual

deposit in both tissues occurs in the form of calcospherites, and the

process in mammalian tissue is identical in every point with the same

process occurring in lower organisms[429].” The ossification of bone,

we may be sure, is in the same sense and to the same extent a physical

phenomenon.

The typical structure of a calcospherite is no other than that of

a pearl, nor does it differ essentially from that of the otolith

of a mollusc or of a bony fish. (The otoliths, by the way, of the

elasmobranch fishes, like those of reptiles and birds, are not

developed after this fashion, but are true crystals of calc-spar.)

[Illustration: Fig. 201. A “crust” of close-packed calcareous

concretions, precipitated at the surface of an albuminous solution.

(After Harting.)]

Throughout these phenomena, the effect of surface-tension is manifest.

It is by surface-tension that ultra-microscopic particles are brought

together in the first floccular precipitate or coagulum; by the same

agency, the coarser particles are in turn agglutinated into visible

lumps; and the form of the calcospherites, whether it be that of the

solitary spheres or that assumed in various stages of aggregation (e.g.

Fig. 202)[430], is likewise due to the same agency.

[Illustration: Fig. 202. Aggregated calcospherites. (After Harting.)]

From the point of view of colloid chemistry the whole phenomenon is

very important and significant; and not the least significant part

is this tendency of the solidified deposits to assume the form of

“spherulites,” and other rounded contours. In the phraseology of that

science, we are dealing with a _two-phase_ system, which finally

consists of solid particles in suspension in a liquid (the former

being styled the _disperse phase_, the latter the {426} _dispersion

medium_). In accordance with a rule first recognised by Ostwald[431],

when a substance begins to separate out from a solution, so making

its appearance as a _new phase_, it always makes its appearance first

as a liquid[432]. Here is a case in point. The minute quantities

of material, on their way from a state of solution to a state of

“suspension,” pass through a liquid to a solid form; and their

temporary sojourn in the former leaves its impress in the rounded

contours which surface-tension brought about while the little aggregate

was still labile or fluid: while coincidently with this surface-tension

effect upon the surface, crystallisation tended to take place

throughout the little liquid mass, or in such portion of it as had not

yet consolidated and crystallised.

[Illustration: Fig. 203. (After Harting.)]

Where we have simple aggregates of two or three calcospherites, the

resulting figure is precisely that of so many contiguous soap-bubbles.

In other cases, composite forms result which are not so easily

explained, but which, if we could only account for them, would be

of very great interest to the biologist. For instance, when smaller

calcospheres seem, as it were, to invade the substance of a larger one,

we get curious conformations which in the closest possible way resemble

the outlines of certain of the Diatoms (Fig. 203). Another very

curious formation, which Harting calls a “conostat,” is of frequent

occurrence, and in it we see at least a suggestion of analogy with

the configuration which, in a protoplasmic structure, we have spoken

of as a “collar-cell.” The {427} conostats, which are formed in the

surface layer of the solution, consist of a portion of a spheroidal

calcospherite, whose upper part is continued into a thin spheroidal

collar, of somewhat larger radius than the solid sphere; but the

precise manner in which the collar is formed, possibly around a bubble

of gas, possibly about a vortex-like diffusion-current[433] is not

obvious.

――――――――――

Among these various phenomena, the concentric striation observed in

the calcospherite has acquired a special interest and importance[434].

It is part of a phenomenon now widely known, and recognised as an

important factor in colloid chemistry, under the name of “Liesegang’s

Rings[435].”

[Illustration: Fig. 204. Conostats. (After Harting.)]

If we dissolve, for instance, a little bichromate of potash in

gelatine, pour it on to a glass plate, and after it is set place upon

it a drop of silver nitrate solution, there appears in the course of

a few hours the phenomenon of Liesegang’s rings. At first the silver

forms a central patch of abundant reddish brown chromate precipitate;

but around this, as the silver nitrate diffuses slowly through the

gelatine, the precipitate no longer comes down in a continuous,

uniform layer, but forms a series of zones, beautifully regular, which

alternate with clear interspaces of jelly, and which stand farther and

farther apart, in logarithmic ratio, as they recede from the centre.

For a discussion of the _raison d’être_ of {428} this phenomenon,

still somewhat problematic, the student must consult the text-books of

physical and colloid chemistry[436].

But, speaking very generally, we may say the appearance of Liesegang’s

rings is but a particular and striking case of a more general

phenomenon, namely the influence on crystallisation of the presence of

foreign bodies or “impurities,” represented in this case by the “gel”

or colloid matrix[437]. Faraday shewed long ago that to the presence

of slight impurities might be ascribed the banded structure of ice,

of banded quartz or agate, onyx, etc.; and Quincke and Tomlinson have

added to our scanty knowledge of the same phenomenon[438].

[Illustration: Fig. 205. Liesegang’s Rings. (After Leduc.)]

Besides the tendency to rhythmic action, as manifested in Liesegang’s

rings, the association of colloid matter with a crystalloid in solution

may lead to other well-marked effects. These, according to Professor

J. H. Bowman[439], may be grouped somewhat as follows: (1) total

prevention of crystallisation; (2) suppression of certain of the

lines of crystalline growth; (3) extension of the crystal to abnormal

proportions, with a tendency for it to become a compound crystal; (4) a

curving or gyrating of the crystal or its parts. {429}

[Illustration: Fig. 206. Relay-crystals of common salt. (After

Bowman.)]

[Illustration: Fig. 207. Wheel-like crystals in a colloid. (After

Bowman.)]

For instance, it would seem that, if the supply of material to the

growing crystal be not forthcoming in sufficient quantity (as may well

happen in a colloid medium, for lack of convection-currents), then

growth will follow only the strongest lines of crystallising force,

and will be suppressed or partially suppressed along other axes.

The crystal will have a tendency to become filiform, or “fibrous”;

and the raphides of our plant-cells are a case in point. Again, the

long slender crystal so formed, pushing its way into new material,

may initiate a new centre of crystallisation: we get the phenomenon

known as a “relay,” along the principal lines of force, and sometimes

along subordinate axes as well. This phenomenon is illustrated in the

accompanying figure of crystallisation in a colloid medium of common

salt; and it may possibly be that we have here an explanation, or

part of an explanation, of the compound siliceous spicules of the

Hexactinellid sponges. Lastly, when the crystallising force is nearly

equalled by the resistance of the viscous medium, the crystal takes

the line of least resistance, with very various results. One of these

results would seem to be a gyratory course, giving to the crystal a

curious wheel-like shape, as in Fig. 207; and other results are the

feathery, fern-like {430} or arborescent shapes so frequently seen in

microscopic crystallisation.

To return to Liesegang’s rings, the typical appearance of concentric

rings upon a gelatinous plate may be modified in various experimental

ways. For instance, our gelatinous medium may be placed in a capillary

tube immersed in a solution of the precipitating salt, and in this

case we shall obtain a vertical succession of bands or zones regularly

interspaced: the result being very closely comparable to the banded

pigmentation which we see in the hair of a rabbit or a rat. In the

ordinary plate preparation, the free surface of the gelatine is under

different conditions to the lower layers and especially to the lowest

layer in contact with the glass; and therefore it often happens that we

obtain a double series of rings, one deep and the other superficial,

which by occasional blending or interlacing, may produce a netted

pattern. In some cases, as when only the inner surface of our capillary

tube is covered with a layer of gelatine, there is a tendency for the

deposit to take place in a continuous spiral line, rather than in

concentric and separate zones. By such means, according to Küster[440]

various forms of annular, spiral and reticulated thickenings in

the vascular tissue of plants may be closely imitated; and he and

certain other writers have of late been inclined to carry the same

chemico-physical phenomenon a very long way, in the explanation of

various banded, striped, and other rhythmically successional types of

structure or pigmentation. For example, the striped pigmentation of

the leaves in many plants (such as _Eulalia japonica_), the striped or

clouded colouring of many feathers or of a cat’s skin, the patterns

of many fishes, such for instance as the brightly coloured tropical

Chaetodonts and the like, are all regarded by him as so many instances

of “diffusion-figures” closely related to the typical Liesegang

phenomenon. Gebhardt has made a particular study of the same subject in

the case of insects[441]. He declares, for instance, that the banded

wings of _Papilio podalirius_ are precisely imitated in Liesegang’s

experiments; that the finer markings on the wings of the Goatmoth

(_Cossus ligniperda_) shew the double arrangement of larger and of

{431} smaller intermediate rhythms, likewise manifested in certain

cases of the same kind; that the alternate banding of the antennae (for

instance in _Sesia spheciformis_), a pigmentation not concurrent with

the segmented structure of the antenna, is explicable in the same way;

and that the “ocelli,” for instance of the Emperor moth, are typical

illustrations of the common concentric type. Darwin’s well-known

disquisition[442] on the ocellar pattern of the feathers of the Argus

Pheasant, as a result of sexual selection, will occur to the reader’s

mind, in striking contrast to this or to any other direct physical

explanation[443]. To turn from the distribution of pigment to more

deeply seated structural characters, Leduc has shewn how, for instance,

the laminar structure of the cornea or the lens is again, apparently,

a similar phenomenon. In the lens of the fish’s eye, we have a very

curious appearance, the consecutive lamellae being roughened or

notched by close-set, interlocking sinuosities; and precisely the same

appearance, save that it is not quite so regular, is presented in one

of Küster’s figures as the effect of precipitating a little sodium

phosphate in a gelatinous medium. Biedermann has studied, from the

same point of view, the structure and development of the molluscan

shell, the problem which Rainey had first attacked more than fifty

years before[444]; and Liesegang himself has applied his results to the

formation of pearls, and to the development of bone[445]. {432}

Among all the many cases where this phenomenon of Liesegang’s

comes to the naturalist’s aid in explanation of rhythmic or zonary

configurations in organic forms, it has a special interest where the

presence of concentric zones or rings appears, at first sight, as

a sure and certain sign of periodicity of growth, depending on the

seasons, and capable therefore of serving as a mark and record of the

creature’s age. This is the case, for instance, with the scales, bones

and otoliths of fishes; and a kindred phenomena in starch-grains has

given rise, in like manner, to the belief that they indicate a diurnal

and nocturnal periodicity of activity and rest[446].

[Illustration: Fig. 208.]

That this is actually the case in growing starch-grains is generally

believed, on the authority of Meyer[447]; but while under certain

circumstances a marked alternation of growing and resting periods

may occur, and may leave its impress on the structure of the grain,

there is now great reason to believe that, apart from such external

influences, the internal phenomena of diffusion may, just as in the

typical Liesegang experiment, produce the well-known concentric

rings. The spherocrystals of inulin, in like manner, shew, like the

“calcospherites” of Harting (Fig. 208), a concentric structure which in

all likelihood has had no causative impulse save from within.

[Illustration: Fig. 209. Otoliths of Plaice, showing four zones or

“age-rings.” (After Wallace.)]

The striation, or concentric lamellation, of the scales and otoliths

of fishes has been much employed of recent years as a trustworthy and

unmistakeable mark of the fish’s age. There are difficulties in the

way of accepting this hypothesis, not the least of which is the fact

that the otolith-zones, for instance, are extremely well marked even in

the case of some fishes which spend their lives in deep water, {433}

where the temperature and other physical conditions shew little or

no appreciable fluctuation with the seasons of the year. There are,

on the other hand, phenomena which seem strongly confirmatory of the

hypothesis: for instance the fact (if it be fully established) that

in such a fish as the cod, zones of growth, _identical in number_,

are found both on the scales and in the otoliths[448]. The subject

has become a much debated one, and this is not the place for its

discussion; but it is at least obvious, with the Liesegang phenomenon

in view, that we have no right to _assume_ that an appearance of rhythm

and periodicity in structure and growth is necessarily bound up with,

and indubitably brought about by, a periodic recurrence of particular

_external_ conditions.

But while in the Liesegang phenomenon we have rhythmic precipitation

which depends only on forces intrinsic to the system, and is

independent of any corresponding rhythmic changes in temperature or

other external conditions, we have not far to seek for instances of

chemico-physical phenomena where rhythmic alternations of appearance

or structure are produced in close relation to periodic fluctuations

of temperature. A well-known instance is that of the Stassfurt

deposits, where the rock-salt alternates regularly with thin layers of

“anhydrite,” or (in another series of beds) with “polyhalite[449]”: and

where these zones are commonly regarded as marking years, and their

alternate bands as having been formed in connection with the seasons.

A discussion, however, of this remarkable and significant phenomenon,

and of how the chemist explains it, by help of the “phase-rule,” in

connection with temperature conditions, would lead us far beyond our

scope[450].

――――――――――

We now see that the methods by which we attempt to study the chemical

or chemico-physical phenomena which accompany the development of an

inorganic concretion or spicule within the {434} body of an organism

soon introduce us to a multitude of kindred phenomena, of which our

knowledge is still scanty, and which we must not attempt to discuss

at greater length. As regards our main point, namely the formation

of spicules and other elementary skeletal forms, we have seen that

certain of them may be safely ascribed to simple precipitation or

crystallisation of inorganic materials, in ways more or less modified

by the presence of albuminous or other colloid substances. The effect

of these latter is found to be much greater in the case of some

crystallisable bodies than in others. For instance, Harting, and Rainey

also, found as a rule that calcium oxalate was much less affected by a

colloid medium than was calcium carbonate; it shewed in their hands no

tendency to form rounded concretions or “calcospherites” in presence

of a colloid, but continued to crystallise, either normally, or with a

tendency to form needles or raphides. It is doubtless for this reason

that, as we have seen, _crystals_ of calcium oxalate are so common in

the tissues of plants, while those of other calcium salts are rare. But

true calcospherites, or spherocrystals, of the oxalate are occasionally

found, for instance in certain Cacti, and Bütschli[451] has succeeded

in making them artificially in Harting’s usual way, that is to say by

crystallisation in a colloid medium.

There link on to these latter observations, and to the statement

already quoted that calcareous deposits are associated with the dead

products rather than with the living cells of the organism, certain

very interesting facts in regard to the _solubility_ of salts in

colloid media, which have been made known to us of late, and which go

far to account for the presence (apart from the form) of calcareous

precipitates within the organism[452]. It has been shewn, in the

first place, that the presence of albumin has a notable effect on

the solubility in a watery solution of calcium salts, increasing

the solubility of the phosphate in a marked degree, and that of the

carbonate in still greater proportion; but the {435} sulphate is only

very little more soluble in presence of albumin than in pure water, and

the rarity of its occurrence within the organism is so far accounted

for. On the other hand, the bodies derived from the breaking down of

the albumins, their “catabolic” products, such as the peptones, etc.,

dissolve the calcium salts to a much less degree than albumin itself;

and in the case of the phosphate, its solubility in them is scarcely

greater than in water. The probability is, therefore, that the actual

precipitation of the calcium salts is not due to the direct action

of carbonic acid, etc. on a more soluble salt (as was at one time

believed); but to catabolic changes in the proteids of the organism,

which tend to throw down the salts already formed, which had remained

hitherto in albuminous solution. The very slight solubility of calcium

phosphate under such circumstances accounts for its predominance in,

for instance, mammalian bone[453]; and wherever, in short, the supply

of this salt has been available to the organism.

To sum up, we see that, whether from food or from sea-water, calcium

sulphate will tend to pass but little into solution in the albuminoid

substances of the body: calcium carbonate will enter more freely, but a

considerable part of it will tend to remain in solution: while calcium

phosphate will pass into solution in considerable amount, but will be

almost wholly precipitated again, as the albumin becomes broken down in

the normal process of metabolism.

We have still to wait for a similar and equally illuminating study of

the solution and precipitation of _silica_, in presence of organic

colloids.

――――――――――

From the comparatively small group of inorganic formations which,

arising within living organisms, owe their form solely to precipitation

or to crystallisation, that is to say to chemical or other molecular

forces, we shall presently pass to that other and larger group which

appear to be conformed in direct relation to the forms and the

arrangement of the cells or other protoplasmic elements[454]. {436}

The two principles of conformation are both illustrated in the

spicular skeletons of the Sponges.

[Illustration: Fig. 210. Close-packed calcospherites, or so-called

“spicules,” of Astrosclera. (After Lister.)]

In a considerable number, but withal a minority of cases, the form

of the sponge-spicule may be deemed sufficiently explained on the

lines of Harting’s and Rainey’s experiments, that is to say as the

direct result of chemical or physical phenomena associated with the

deposition of lime or of silica in presence of colloids[455]. This is

the case, for instance, with various small spicules of a globular or

spheroidal form, formed of amorphous silica, concentrically striated

within, and often developing irregular knobs or tiny tubercles over

their surfaces. In the aberrant sponge _Astrosclera_[456], we have,

to begin with, rounded, striated discs or globules, which in like

manner are nothing more or less than the {437} “calcospherites” of

Harting’s experiments; and as these grow they become closely aggregated

together (Fig. 210), and assume an angular, polyhedral form, once more

in complete accordance with the results of experiment[457]. Again,

in many Monaxonid sponges, we have irregularly shaped, or branched

spicules, roughened or tuberculated by secondary superficial deposits,

and reminding one of the spicules of some Alcyonaria. These also must

be looked upon as the simple result of chemical deposition, the form of

the deposit being somewhat modified in conformity with the surrounding

tissues, just as in the simple experiment the form of the concretionary

precipitate is affected by the heterogeneity, visible or invisible,

of the matrix. Lastly, the simple needles of amorphous silica, which

constitute one of the commonest types of spicule, call for little

in the way of explanation; they are accretions or deposits about a

linear axis, or fine thread of organic material, just as the ordinary

rounded calcospherite is deposited about some minute point or centre of

crystallisation, and as ordinary crystallisation is often started by a

particle of atmospheric dust; in some cases they also, like the others,

are apt to be roughened by more irregular secondary deposits, which

probably, as in Harting’s experiments, appear in this irregular form

when the supply of material has become relatively scanty.

――――――――――

Our few foregoing examples, diverse as they are in look and kind and

ranging from the spicules of Astrosclera or Alcyonium to the otoliths

of a fish, seem all to have their free origin in some larger or smaller

fluid-containing space, or cavity of the body: pretty much as Harting’s

calcospheres made their appearance in the albuminous content of a dish.

But we now come at last to a much larger class of spicular and skeletal

structures, for whose regular and often complex forms some other

explanation than the intrinsic forces of crystallisation or molecular

adhesion is manifestly necessary. As we enter on this subject, which

is certainly no small or easy one, it may conduce to simplicity, and

to brevity, {438} if we try to make a rough classification, by way of

forecast, of the chief conditions which we are likely to meet with.

Just as we look upon animals as constituted, some of a vast number of

cells, and others of a single cell or of a very few, and just as the

shape of the former has no longer a visible relation to the individual

shapes of its constituent cells, while in the latter it is cell-form

which dominates or is actually equivalent to the form of the organism,

so shall we find it to be, with more or less exact analogy, in the

case of the skeleton. For example, our own skeleton consists of bones,

in the formation of each of which a vast number of minute living

cellular elements are necessarily concerned; but the form and even the

arrangement of these bone-forming cells or corpuscles are monotonously

simple, and we cannot find in these a physical explanation of the

outward and visible configuration of the bone. It is as part of a far

larger field of force,—in which we must consider gravity, the action of

various muscles, the compressions, tensions and bending moments due to

variously distributed loads, the whole interaction of a very complex

mechanical system,—that we must explain (if we are to explain at all)

the configuration of a bone.

In contrast to these massive skeletons, or constituents of a skeleton,

we have other skeletal elements whose whole magnitude, or whose

magnitude in some dimension or another, is commensurate with the

magnitude of a single living cell, or (as comes to very much the same

thing) is comparable to the range of action of the molecular forces.

Such is the case with the ordinary spicules of a sponge, with the

delicate skeleton of a Radiolarian, or with the denser and robuster

shells of the Foraminifera. The effect of _scale_, then, of which

we had so much to say in our introductory chapter on Magnitude, is

bound to be apparent in the study of skeletal fabrics, and to lead to

essential differences between the big and the little, the massive and

the minute, in regard to their controlling forces and their resultant

forms. And if all this be so, and if the range of action of the

molecular forces be in truth the important and fundamental thing, then

we may somewhat extend our statement of the case, and include in it not

only association with the living cellular elements of the body, but

also association with any bubbles, drops, vacuoles or vesicles which

{439} may be comprised within the bounds of the organism, and which

are (as their names and characters connote) of the order of magnitude

of which we are speaking.

Proceeding a little farther in our classification, we may conceive

each little skeletal element to be associated, in one case, with a

single cell or vesicle, and in another with a cluster or “system” of

consociated cells. In either case there are various possibilities.

For instance, the calcified or other skeletal material may tend to

overspread the entire outer surface of the cell or cluster of cells,

and so tend accordingly to assume some configuration comparable to

that of a fluid drop or of an aggregation of drops; this, in brief, is

the gist and essence of our story of the foraminiferal shell. Another

common, but very different condition will arise if, in the case of

the cell-aggregates, the skeletal material tends to accumulate in the

interstices _between_ the cells, in the partition-walls which separate

them, or in the still more restricted distribution indicated by the

_lines_ of junction between these partition-walls. Conditions such as

these will go a very long way to help us in our understanding of many

sponge-spicules and of an immense variety of radiolarian skeletons. And

lastly (for the present), there is a possible and very interesting case

of a skeletal element associated with the surface of a cell, not so as

to cover it like a shell, but only so as to pursue a course of its own

within it, and subject to the restraints imposed by such confinement to

a curved and limited surface. With this curious condition we shall deal

immediately.

This preliminary and much simplified classification of skeletal forms

(as is evident enough) does not pretend to completeness. It leaves out

of account some kinds of conformation and configuration with which

we shall attempt to deal, and others which we must perforce omit.

But nevertheless it may help to clear or to mark our way towards the

subjects which this chapter has to consider, and the conditions by

which they are at least partially defined.

――――――――――

Among the several possible, or conceivable, types of microscopic

skeletons let us choose, to begin with, the case of a spicule, more

or less simply linear as far as its _intrinsic_ powers of growth are

{440} concerned, but which owes its now somewhat complicated form to

a restraint imposed by the individual cell to which it is confined,

and within whose bounds it is generated. The conception of a spicule

developed under such conditions we owe to a distinguished physicist,

the late Professor G. F. FitzGerald.

Many years ago, Sollas pointed out that if a spicule begin to grow in

some particular way, presumably under the control or constraint imposed

by the organism, it continues to grow by further chemical deposition in

the same form or direction even after it has got beyond the boundaries

of the organism or its cells. This phenomenon is what we see in, and

this imperfect explanation goes so far to account for, the continued

growth in straight lines of the long calcareous spines of Globigerina

or Hastigerina, or the similarly radiating but siliceous spicules of

many Radiolaria. In physical language, if our crystalline structure has

once begun to be laid down in a definite orientation, further additions

tend to accrue in a like regular fashion and in an identical direction;

and this corresponds to the phenomenon of so-called “orientirte

Adsorption,” as described by Lehmann.

In Globigerina or in Acanthocystis the long needles grow out freely

into the surrounding medium, with nothing to impede their rectilinear

growth and their approximately radiate distribution. But let us

consider some simple cases to illustrate the forms which a spicule will

tend to assume when, striving (as it were) to grow straight, it comes

under the influence of some simple and constant restraint or compulsion.

If we take any two points on some curved surface, such as that of a

sphere or an ellipsoid, and imagine a string stretched between them,

we obtain what is known in mathematics as a “geodetic” curve. It is

the shortest line which can be traced between the two points, upon the

surface itself; and the most familiar of all cases, from which the name

is derived, is that curve upon the earth’s surface which the navigator

learns to follow in the practice of “great-circle sailing.” Where

the surface is spherical, the geodetic is always literally a “great

circle,” a circle, that is to say, whose centre is the centre of the

sphere. If instead of a sphere we be dealing with an ellipsoid, the

geodetic becomes a variable figure, according to the position of our

two points. {441} For obviously, if they lie in a line perpendicular

to the long axis of the ellipsoid, the geodetic which connects them is

a circle, also perpendicular to that axis; and if they lie in a line

parallel to the axis, their geodetic is a portion of that ellipse about

which the whole figure is a solid of revolution. But if our two points

lie, relatively to one another, in any other direction, then their

geodetic is part of a spiral curve in space, winding over the surface

of the ellipsoid.

To say, as we have done, that the geodetic is the shortest line

between two points upon the surface, is as much as to say that it is

a _projection_ of some particular straight line upon the surface in

question; and it follows that, if any linear body be confined to that

surface, while retaining a tendency to grow by successive increments

always (save only for its confinement to that surface) in a straight

line, the resultant form which it will assume will be that of a

geodetic. In mathematical language, it is a property of a geodetic that

the plane of any two consecutive elements is a plane perpendicular

to that in which the geodetic lies; or, in simpler words, any two

consecutive elements lie in a straight line _in the plane of the

surface_, and only diverge from a straight line in space by the actual

curvature of the surface to which they are restrained.

[Illustration: Fig. 211. Sponge and Holothurian spicules.]

[Illustration: Fig. 212.]

[Illustration: Fig. 213. An “amphidisc” of Hyalonema.]

Let us now imagine a spicule, whose natural tendency is to grow into

a straight linear element, either by reason of its own molecular

anisotropy, or because it is deposited about a thread-like axis; and

let us suppose that it is confined either within a cell-wall or in

adhesion thereto; it at once follows that its line of growth will be

simply a geodetic to the surface of the cell. And if the cell be an

imperfect sphere, or a more or less regular ellipsoid, the spicule will

tend to grow into one or other of three forms: either a plane curve

of circular arc; or, more commonly, a plane curve which is a portion

of an ellipse; or, most commonly of all, a curve which is a portion

of a spiral in space. In the latter case, the number of turns of the

spiral will depend, not only on the length of the spicule, but on

the relative dimensions of the ellipsoidal cell, as well as upon the

angle by which the spicule is inclined to the ellipsoid axes; but a

very common case will probably be that in which the spicule looks at

first sight to be {442} a plane C-shaped figure, but is discovered,

on more careful inspection, to lie not in one plane but in a more

complicated spiral twist. This investigation includes a series of

forms which are abundantly represented among actual sponge-spicules,

as illustrated in Figs. 211 and 212. If the spicule be not restricted

to linear growth, but have a tendency to expand, or to branch out from

a main axis, we shall obtain a series of more complex figures, all

related to the geodetic system of curves. A very simple case will arise

where the spicule occupies, in the first instance, the axis of the

containing cell, and then, on reaching its boundary, tends to branch

or spread outwards. We shall now get various figures, in some of which

the spicule will appear as an axis expanding into a disc or wheel at

either end; and in other cases, the terminal disc will be replaced, or

represented, by a series of rays or spokes, with a reflex curvature,

corresponding to the spherical or ellipsoid curvature of the surface

of the cell. Such spicules as these are again exceedingly common among

various sponges (Fig. 213).

Furthermore, if these mechanical methods of conformation, and others

like to these, be the true cause of the shapes which the spicules

assume, it is plain that the production of these spicular shapes is not

a specific function of sponges or of any particular sponge, but that

we should expect {443} the same or very similar phenomena to occur

in other organisms, wherever the conditions of inorganic secretion

within closed cells was very much the same. As a matter of fact, in the

group of Holothuroidea, where the formation of intracellular spicules

is a characteristic feature of the group, all the principal types of

conformation which we have just described can be closely paralleled.

Indeed in many cases, the forms of the Holothurian spicules are

identical and indistinguishable from those of the sponges[458]. But

the Holothurian spicules are composed of calcium carbonate while those

which we have just described in the case of sponges are usually, if not

always, siliceous: this being just another proof of the fact that in

such cases the form of the spicule is not due to its chemical nature or

molecular structure, but to the external forces to which, during its

growth, the spicule is submitted.

――――――――――

So much for that comparatively limited class of sponge-spicules

whose forms seem capable of explanation on the hypothesis that

they are developed within, or under the restraint imposed by, the

surface of a cell or vesicle. Such spicules are usually of small

size, as well as of comparatively simple form; and they are greatly

outstripped in number, in size, and in supposed importance as guides

to zoological classification, by another class of spicules. This new

class includes such as we have supposed to be capable of explanation

on the assumption that they develop in association (of some sort

or another) with the _lines of junction_ of contiguous cells. They

include the triradiate spicules of the calcareous sponges, the

quadriradiate or “tetractinellid” spicules which occur in the same

group, but more characteristically in certain siliceous sponges known

as the Tetractinellidae, and lastly perhaps (though these last are

admittedly somewhat harder to understand) the six-rayed spicules of the

Hexactinellids.

The spicules of the calcareous sponges are commonly triradiate, and the

three radii are usually inclined to one another at equal, or nearly

equal angles; in certain cases, two of the three rays are nearly in

a straight line, and at right angles to the {444} third[459]. They

are seldom in a plane, but are usually inclined to one another in a

solid, trihedral angle, not easy of precise measurement under the

microscope. The three rays are very often supplemented by a fourth,

which is set tetrahedrally, making, that is to say, coequal angles with

the other three. The calcareous spicule consists mainly of carbonate

of lime, in the form of calcite, with (according to von Ebner) some

admixture of soda and magnesia, of sulphates and of water. According

to the same writer (but the fact, though it would seem easy to test,

is still disputed) there is no organic matter in the spicule, either

in the form of an axial filament or otherwise, and the appearance

of stratification, often simulating the presence of an axial fibre,

is due to “mixed crystallisation” of the various constituents. The

spicule is a true crystal, and therefore its existence and its form are

_primarily_ due to the molecular forces of crystallisation; moreover

it is a single crystal and not a group of crystals, as is at once seen

by its behaviour in polarised light. But its axes are not crystalline

axes, and its form neither agrees with, nor in any way resembles,

any one of the many polymorphic forms in which calcite is capable of

crystallising. It is as though it were carved out of a solid crystal;

it is, in fact, a crystal under restraint, a crystal growing, as it

were, in an artificial mould; and this mould is constituted by the

surrounding cells, or structural vesicles of the sponge.

[Illustration: Fig. 214. Spicules of Grantia and other calcareous

sponges. (After Haeckel.)]

We have already studied in an elementary way, but amply for our

present purpose, the manner in which three or more cells, or bubbles,

tend to meet together under the influence of surface-tension, and

also the outwardly similar phenomena which may be brought about by a

uniform distribution of mechanical pressure. We have seen that when we

confine ourselves to a plane assemblage of such bodies, we find them

meeting one another in threes; that in a section or plane projection

of such an assemblage we see the partition-walls meeting one another

at equal angles of 120°; that when the bodies are uniform in size, the

partitions are straight lines, which combine to form regular hexagons;

and that when {445} the bodies are unequal in size, the partitions

are curved, and combine to form other and less regular polygons. It

is plain, accordingly, that in any flattened or stratified assemblage

of such cells, a solidified skeletal deposit which originates or

accumulates either between the cells or within the thickness of their

mutual partitions, will tend to take the form of triradiate bodies,

whose rays (in a typical case) will be set at equal angles of 120°

(Fig. 214, _F_). And this latter condition of equality will be open to

modification in various ways. It will be modified by any inequality

in the specific tensions of adjacent cells; as a special case, it

will be apt to be greatly modified at the surface of the system,

where a spicule happens to be formed in a plane perpendicular to the

cell-layer, so that one of its three rays lies between two adjacent

cells and the other two are associated with the surface of contact

between the cells and the surrounding medium; in such a case (as in the

cases considered in connection with the forms of the cells themselves

{446} on p. 314), we shall tend to obtain a spicule with two equal

angles and one unequal (Fig. 214, _A_, _C_). In the last case, the two

outer, or superficial rays, will tend to be markedly curved. Again, the

equiangular condition will be departed from, and more or less curvature

will be imparted to the rays, wherever the cells of the system cease

to be uniform in size, and when the hexagonal symmetry of the system

is lost accordingly. Lastly, although we speak of the rays as meeting

at certain definite angles, this statement applies to their _axes_,

rather than to the rays themselves. For, if the triradiate spicule be

developed in the _interspace_ between three juxtaposed cells, it is

obvious that its sides will tend to be concave, for the interspace

between our three contiguous equal circles is an equilateral,

curvilinear triangle; and even if our spicule be deposited, not in the

space between our three cells, but in the thickness of the intervening

wall, then we may recollect (from p. 297) that the several partitions

never actually meet at sharp angles, but the angle of contact is always

bridged over by a small accumulation of material (varying in amount

according to its fluidity) whose boundary takes the form of a circular

arc, and which constitutes the “bourrelet” of Plateau.

In any sample of the triradiate spicules of Grantia, or in any series

of careful drawings, such as those of Haeckel among others, we shall

find that all these various configurations are precisely and completely

illustrated.

The tetrahedral, or rather tetractinellid, spicule needs no explanation

in detail (Fig. 214, _D_, _E_). For just as a triradiate spicule

corresponds to the case of three cells in mutual contact, so does the

four-rayed spicule to that of a solid aggregate of four cells: these

latter tending to meet one another in a tetrahedral system, shewing

four edges, at each of which four surfaces meet, the edges being

inclined to one another at equal angles of about 109°. And even in the

case of a single layer, or superficial layer, of cells, if the skeleton

originate in connection with all the edges of mutual contact, we shall,

in complete and typical cases, have a four-rayed spicule, of which one

straight limb will correspond to the line of junction between the three

cells, and the other three limbs (which will then be curved limbs) will

correspond to the edges where two cells meet one another on the surface

of the system. {447}

But if such a physical explanation of the forms of our spicules is

to be accepted, we must seek at once for some physical agency by

which we may explain the presence of the solid material just at the

junctions or interfaces of the cells, and for the forces by which

it is confined to, and moulded to the form of, these intercellular

or interfacial contacts. It is to Dreyer that we chiefly owe the

physical or mechanical theory of spicular conformation which I have

just described,—a theory which ultimately rests on the form assumed,

under surface-tension, by an aggregation of cells or vesicles. But

this fundamental point being granted, we have still several possible

alternatives by which to explain the details of the phenomenon.

Dreyer, if I understand him aright, was content to assume that the

solid material, secreted or excreted by the organism, accumulated

in the interstices between the cells, and was there subjected to

mechanical pressure or constraint as the cells got more and more

crowded together by their own growth and that of the system generally.

As far as the general form of the spicules goes, such explanation is

not inadequate, though under it we may have to renounce some of our

assumptions as to what takes place at the outer surface of the system.

But in all (or most) cases where, but a few years ago, the concepts

of secretion or excretion seemed precise enough, we are now-a-days

inclined to turn to the phenomenon of adsorption as a further stage

towards the elucidation of our facts. Here we have a case in point.

In the tissues of our sponge, wherever two cells meet, there we

have a definite _surface_ of contact, and there accordingly we

have a manifestation of surface-energy; and the concentration of

surface-energy will tend to be a maximum at the _lines_ or edges

whereby the three, or four, such surfaces are conjoined. Of the

micro-chemistry of the sponge-cells our ignorance is great; but

(without venturing on any hypothesis involving the chemical details of

the process) we may safely assert that there is an inherent probability

that certain substances will tend to be concentrated and ultimately

deposited just in these lines of intercellular contact and conjunction.

In other words, adsorptive concentration, under osmotic pressure, at

and in the surface-film which constitutes the mutual boundary between

contiguous {448} cells, emerges as an alternative (and, as it seems

to me, a highly preferable alternative) to Dreyer’s conception of

an accumulation under mechanical pressure in the vacant spaces left

between one cell and another.

On Growth and Form · 第 11 / 23 章