See René Thom, Structural Stability and Morphogenesis,
trans. D.H. Fowler, foreword by C.H. Waddington, Reading, Massachusetts:
W.A. Benjamin, 1975, pp. 280-283
FINALITY IN BIOLOGY
summary of extract
A. Finality and Optimality
"When a biologist finds an organ or behavior
that is obviously well adapted, his first concern is to ignore this adaptive
character and to emphasize the factors immediately responsible for the
process. For example, in the well-known study of the orientation
of leaves toward light, he isolates a substance, an auxin, produced by
light rays, which inhibits the growth of tissues. The immediate mechanism
of the process is then explained perfectly, and usually, for a biologist,
that is sufficient. But if we, goaded by an understandable feeling
of intellectual dissatisfaction, ask him how it comes about that the process
is so obviously beneficial to the plant's metabolism, he will certainly
invoke a principle of natural selection: plants in which an accidental
mutation established this process enjoyed an advantage that eliminated
those without it through selection. This lazy and entirely unverifiable
answer is at present the only interpretation of biological finality, even
though the process presents a challenge worthy of further explanation.
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"The mathematician von Neumannnote commented that
the evolution of a system can be described in classical mechanics in two
ways: either by local differential equations, for example, Lagrange's or
Hamilton's equations, or by a global variational principle, like Maupertuis'
principle of least action; and these two descriptions are equivalent, even
though one seems mechanistic and locally deterministic, whereas the other
appears to be finalistic. The same is probably true in biology: every
epigenetic or homeostatic process is susceptible of a double interpretation,
deterministic and finalistic. We must not forget that the essential
object of study in biology is not the isolated individual but the continuous
form in space-time joining parents to descendants (the regulation figure);
more precisely, when two or more species have some functional interaction
between each other, such as predation or being an auxiliary in the fertilization
process, etc., it is necessary to consider the total figure in space-time,
the union of all the forms associated with each species. Then, for
each adaptive process, we canprobably find a function S of the local biological
state expressing in some way the local complexity of the state with respect
to the process considered, and the configuration will evolve between two
times t0 and t1,
(e.g., the parent at age A and the descendant at the same age) in such
a way as to minimize the global complexity [formula given]. In this
way the minimum complexity and hence the most economical adaptation of
the process will be realized. Natural selection is one factor in
this evolution, but I myself think that internal mechanisms of Lamarckian
character also act in the same direction. However, in contrast with
classical mechanics, we should not expect that this evolution will be differentiable,
or even continuous, on the individual level because the global continuous
configuration must conform to the boundary conditions of a system restricted
by spatial reproduction in a given chemical and ecological context.
Hence there will be not a continuous deformation but a finite chain of
relatively well-determined, subtly interrelated, local processes (or chreods);
even the variation of the global figure can introduce qualitative discontinuities
into the structure of this chain - this is called mutation. The effect
of the global variational principle will be too weak for the local mechanisms
to show no random fluctuations, and only the resultant of these local variations
will finally be oriented by the variational principle. Although the
teleological nature of organs and behavior in living beings will be immediately
apparent to us (with reference to what we ourselves are and to our own
behavior as human animals), their deterministic and mechanistic nature
will escape our attention because it operates on a very long time scale
and has a statistical character inherent in evolution, and its decisive
factors (the influence of metabolism on the statistic of mutations) are
probably very tenuous. Let me be more precise.
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B. Chance and mutations
"One of the dogmas of present-day biology
is the strictly random (if this means anything) nature of mutations; however,
it seems to me that this dogma contradicts the mechanical principle of
action and reaction: of two possible mutations m and m', the one with the
better effect on metabolism (i.e., the one that minimises the production
of entropy) must have a greater probability of happening. In the
classical diagram of information theory,
source -» channel -» receptor
it is clear that the source has an effect on the receptor; therefore the
receptor has an inverse effect on the source, usually unobservable because
the energy of the source is very large with respect to the interaction
energy. This is certainly not the case, however, of nucleic acid,
where the binding energy is much less than the energies of the metabolism.
One might object that here the receptor is an open system, in the language
of thermodynamics; it is possible that DNA has a directing action on the
metabolism not requiring the introduction of a large interaction energy.
In systems in catastrophe, a very slight variation in the initial conditions
can cause large modification of the final state, and the interaction of
the DNA chromosome could give rise to very small initial variations amplified
later to large effects, a situation similar to that of a point determining
the route of a train whereas the train has no effect on the point.
But this comparison is specious, as are all examples taken from human technology;
they can occur only in a state of zero metabolism. The effect of
a signalman altering slightly the points under a moving train is disastrous,
whereas it seems that most spontaneous mutations occur in interphase, during
full metabolic activity. The breakages and displacements of chromosomes
observed in metaphase are only the visible results of earlier metabolic
accidents in the interphase which have upset the course of the anaphasal
catastrophe.
go back to summary
Most mutations are attributed
to chemical modifications in the DNA sequence in nucleotides, due to errors
in the duplication process of DNA. I am reluctant to subscribe to
the current belief that a point mutation, affecting just one nucleotide,
is sufficient to inhibit the activity of a gene; this seems to me to repeat
on another plane the error of the morphologists who believed that the destruction
of one neuron in the brain would stop the process of thinking. To
suppose the strict validity, without some random noise, of the genetic
code amounts to making the basic regulation mechanism of the cell fully
dependent on a process in a state of permanent catastrophe. Even
if life is only a tissue of catastrophes, as is often said, we must
take into account that these catastrophes are constrained by the global
stability of the process and are not the more-or-less hazardous game of
mad molecular combination. Even adopting the anthropomorphic point
of view that there is a mechanism for reading the DNA that is perturbed
by errors, might we not push this anthropomorphism to its full extent and
admit that the errors are oriented, as in Freudian psychology, by the "unconscious"
needs and desires of the ambient metabolism ? It seems difficult
to avoid the conclusion that the metabolism has an effect, probably very
weak, which in the long run can dominate the statistic of mutations, and
the long-term results of the effect explain the variational principle of
minimum complexity and the increasing adaptation of biological processes
leading to finality.
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