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However arbitrary the numbering of our years may be, the turning of the
century and the millennium offers an opportunity to think of our
history, and our future. However, I am calling this a genealogy rather
than a history because I want to emphasize the people who started the
science of biomechanics, and to convey the notion that we inherit traits as well as knowledge from our scientific predecessors.
Histories of science usually begin with the ancient Greeks, who first
left a record of human inquiry concerning the nature of the world in
relationship to our powers of perception. Socrates,
born 2400 years ago, taught that we could not begin to understand the
world around us until we understood our own nature. As scientists who
seek knowledge of the mechanics within their own bodies, and those of
other living creatures, we share something of Socrates' inward inquiry.
Fortunately, we do not share the public abuse that he suffered, and
which led him, as an old man of 70, to be tried, convicted, and
executed for "impiety and corrupting the youth of Athens."
The execution of Socrates had a profound affect on Plato,
51 years his junior and a member of the Athenian aristocracy. He began
the philosophical inquiries that set forth most of the important
problems and concepts of Western philosophy, psychology, and logic, as
well as politics. Plato postulated a realm of ideas that existed
independently of the sensory world, and considered observations and
experiments worthless. However, he also believed that mathematics, a
system of pure ideas, was the best tool for the pursuit of knowledge.
His conceptualization of mathematics as the life force of science
created the necessary womb for the birth and growth of mechanics.
At age 17, Aristotle,
the son of a physician in northern Greece, went to Athens to study at
Plato's academy. Aristotle had a remarkable talent for observation and
was fascinated by anatomy and structure of living things. Indeed,
Aristotle might be considered the first biomechanician. He wrote the
first book called "De Motu Animalium" - On the Movement of Animals. He
not only saw animals' bodies as mechanical systems, but pursued such
questions as the physiological difference between imagining performing
an action and actually doing it. Aristotle eventually departed from
Plato's philosophy so far as to advocate qualitative, common sense
science, purged of mathematics. However, his advocacy of syllogistic
logic, the drawing of conclusions from assumed postulates, gave us the
deductive method of modern science. Thus, in the span of a century
ending 2300 years ago, three men identified our most fundamental
scientific tools: deductive reasoning and mathematical reasoning. And
in addition, biomechanics was born!
With the fall of Greece and the rise of the Roman Empire, natural
philosophy waned in favor of technology. The second century anatomist, Galen, physician to the Roman emperor Marcus Aurelius, comes and goes, leaving his monumental work, On the Function of the Parts
(meaning the parts of the human body) as the world's standard medical
text for the next 1,400 years, but nothing like another biomechanician
is seen for a long, long time.
Indeed, the advancement of virtually all western science was halted
until the Renaissance in the middle of the second millennium. Now we
finally come to someone whom we might call a biomechanician of sorts: Leonardo da Vinci.
Born poor in 1452 and largely self-educated, da Vinci became famous as
an artist, but worked mostly as an engineer. He made substantial
contributions to mechanics in the course of pursuing his numerous
military and civil engineering projects and imaginative inventions,
ranging from water skis to hang gliders. He had an understanding of
components of force vectors, friction coefficients, and the
acceleration of falling objects, and had a glimmering of Newton's 3rd
law. By studying anatomy in the context of mechanics, da Vinci also
gained some insight into biomechanics. He analyzed muscle forces as
acting along lines connecting origins and insertions and studied joint
function. However, delightful as his notebooks are to explore, they
were personal and unpublished for centuries, and his brilliant
daydreaming had little scientific impact.
Galen's anatomical hegemony was finally challenged when, in 1543, at age 29, the Flemish physician Andreas Vesalius published his beautifully illustrated text, On the Structure of the Human Body.
Even so, it took still more centuries for the world to accept fact that
Galen had made errors corrected by Vesalius. There is an old story of
an anatomist telling a student that the reason the cadaver did not
conform to Galen's description was that human anatomy had changed in
the intervening thousand years. We smile, though we, too, still get
lost in the darkness of our dogmas.
The year Vesalius published, Copernicus died. Copernicus
had discreetly introduced the concept of a heliocentric solar system in
1514, but concern about the reaction of the church to this theory
prevented its publication until Copernicus was literally on his
deathbed. On the Revolutions of the Heavenly Spheres not only
revolutionized astronomy, it revolutionized science by re-introducing
mathematical reasoning, the antithesis of Aristotelian common-sense
physics. This had direct implications for biomechanics, too, because
the desire to explain the orbits of the heavenly spheres led directly
to the development of mechanics.
The father of mechanics, and sometime biomechanician, was Galileo Galilee,
born 21 years after Copernicus died. At age 17, Galileo, son of a
musician-mathematician of little wealth, was sent to the University of
Pies to gain wealth through the study of medicine. This paternal plan
was unsuccessful because Galileo could never accept anything his
professors had to say on faith, but insisted on questioning everything
and demanding that every fact be proven. This attitude being
unacceptable in medical school, Galileo was nicknamed "the wrangler"
for his damned argumentativeness. On being forced out of the university
at age 21, he returned home to Florence and further disappointed his
father by turning to mathematics, having discovered that its professors
were obliged to prove every damned thing they taught!
At age 25 Galileo returned to Pisa as lecturer in mathematics, but
within 3 years his caustic wit had stolen so many students from other
faculty that he was forced to leave again. So, he moved again, this
time up to Professor of Mathematics at the more prestigious University
of Padua! The strength of his powerful, irascible personality came to
dominate the scientific world of his time; he became the great
animating spirit of the scientific revolution that followed the
Renaissance. At age 45 he heard about the invention of the telescope
and dropped everything else to make and use, sight unseen, one of his
own. His observations with this instrument - the moons of Jupiter, and
the mountains of our own moon, for example - were published the next
year.
I dwell on Galileo
because he also made important contributions to biomechanics. He was
particularly aware of the mechanical aspects of bone structure and the
basic principles of allometry. For example, he noted that:
- animals' masses increase disproportionately to their size, and
their bones must consequently also disproportionately increase in
girth, adapting to loadbearing rather than mere size
- the bending strength of a tubular structure such as a bone is
increased relative to its weight by making it hollow and increasing its
diameter
- marine animals can be larger than terrestrial animals because the water's bouyancy relieves their tissues of weight
Galileo's genius as both a mathematical theorist and an
observational experimentalist enabled him to make his most fundamental
contribution to science, the essence of what we now call the scientific
method: the need to examine facts critically and reproduce known
phenomena experimentally so as to determine cause and effect and arrive
at explanations for what is observed. Furthermore, and most
importantly, he sought to formulate physical laws mathematically,
further freeing scientific conclusions from the misperceptions of the
senses.
We now come to the our most familiar ancestor in this genealogy - Giovanni Alfonso Borelli.
There were close connections between Borelli and Galileo. The son of a
Spanish soldier and Italian mother, Borelli was born in Naples in 1608,
when Galileo was 44 years old. At age 16 Borelli went to Rome, where he
became a student of Galileo's former student, Benedetto Castelli,
founder of the science of hydraulics. Borelli also knew Galileo
himself, and was apparently in Rome in 1632-33 during the time of
Galileo's trial by the Inquisition. A few years later, Castelli's
recommendation helped Borelli obtain a lectureship in mathematics in
distant Messina, on the northeast coast of Sicily, across from the toe
of Italy. He worked in Messina until, at age 50, he ascended to the
chair of mathematics at Pisa, where Galileo had taught as a young man.
There he worked closely with Marcello Malpighi,
the much younger chair of theoretical medicine. (Imagine, theoretical
medicine, in 1658!) Malpighi was to become the greatest of the early
microscopists, and the father of embryology. He, Borelli, and Descartes
were key figures in establishing the iatrophysical approach to
medicine, which held that mechanics rather than chemistry was the key
to understanding the functioning of the human body.
Somehow, there was a falling out between these men, and
Borelli left Pisa and returned to Messina, and later, at age 67, he
moved to Rome where he died on New Year's eve, 1679. His great
treatise, the second book called De Motu Animalium, was published shortly after his death.
Borelli was the first to understand that the levers of the
musculoskeletal system magnify motion rather than force, so that
muscles must produce much larger forces than those resisting the
motion. Building on the work of Galileo, and an intuitive understanding
of static equilibrium, Borelli figured out the forces required for
equilibrium in various joints of the human body well before Newton
published the laws of motion. He also determined the position of the
human center of gravity, calculated and measured inspired and expired
air volumes, and showed that inspiration is muscle-driven and
expiration is due to tissue elasticity. Paul Maquet's translation of De Motu Animalium makes it possible for every biomechanician to see why the ASB's highest award is named for Borelli.
Borelli also contributed significantly to astronomy, improving on some
of Galileo's results. For example, Galileo had never come to grips with
Kepler's elliptical orbits, deriving circular ones instead. Borelli
attended to this, postulated that comets follow parabolic orbits, and
tried to predict the orbits of Jupiter's moons by considering the
influence of both Jupiter and the sun. The latter work presaged
Newton's concept of universal gravitation. He also was the first to
describe planetary motion around the Sun in terms of centrifugal and
centripetal forces.
After Borelli, there is little sign of biomechanics in the
literature until the latter half of the 19th century, which Benno Nigg
has called "the gait century."
The idea of investigating locomotion using cinematography may have been
suggested by the French astronomer Janssen; but it was first used
scientifically by Etienne Marey, who first correlated ground reaction
forces with movement and pioneered modern motion analysis.
In Germany, the Weber brothers hypothesized a great deal about human
gait, but it was Christian Wilhelm Braune and his student Otto Fischer
who significantly advanced the science using recent advances in
engineering mechanics.
During the same period, the engineering mechanics of
materials began to flourish in France and Germany under the demands of
the industrial revolution. Engineers had learned about principal
stresses from Augustin Cauchy, and German engineers were actually
calculating the stresses in railroad bridges when they designed them -
a novel idea for cut and try American and English engineers! This
led to the rebirth of bone biomechanics when the railroad engineer Karl
Culmann and the anatomist Hermann von Meyer got together one famous day
and compared the stress patterns in a human femur with those in
a similarly shaped crane, as shown here. Then Julius Wolff heard about
their little conversation, and Wolff's law of bone remodeling began to
be a guiding tenet in 20th century orthopaedic medicine.
Having arrived on the threshold of the 20th century, I'll
end my genealogy because the family of biomechanicians now begins to
beget and begat like mad! The number of prominent 20th century
biomechanicians is far too numerous to discuss here.
What can we conclude from this genealogy of biomechanics?
Clearly, interest in biomechanics is ancient. From its earliest
manifestations, science has looked inward as well as outward. This
involved questions of epistemology but also human physiology, including
biomechanics. Our interest in biomechanics springs from the same source
as Aristotle's - curiosity about ourselves. The difference is that our
scientific activities are specialized in biomechanics, while
Aristotle's interest was only part of a much wider pursuit of science.
It seems to me that, as a manifestation of curiosity, science is
fundamentally all-encompassing rather than specialized. For most of
history, the same thing was true of scientists, and scientific
disciplines did not exist. Actually, scientific disciplines arose in Borelli's century,
when scientists began to organize to cultivate and promote science.
Indeed, Borelli
was a key figure in one of these early organizations, the Accademia del
Cimento, the first institution devoted solely to scientific experiment.
Thus began the institutionalization and professionalization of science,
and this led to the formation of disciplinary boundaries. The "natural
philosophers" who studied astronomy one month and biomechanics the next
gave way to scientific specialists. This fragmentation of science
accelerated during the 20th century, according to historians of
science, because of scientists' desire to gain identity in a growing
population of academics, and competition for funds, positions, and
students. It is sad to think how much of our activity today is driven
by pressure to secure funding rather than our scientific curiosity. And
now we have interdisciplinary disciplines like biochemistry,
biophysics, and our own biomechanics: new disciplines to fill in the
increasingly narrow gaps between disciplines! And within each of these
are sub-sub-specialists in this or that. Does the advancement of
science depend on an infinite progression of specialization?
What is the future of biomechanics, the ASB, and science in
general? Will competition for resources among the increasing population
of scientists fractionate science even more? The modern model for
success in scholarship has been to find a niche - a subspecialized
research topic - and stay within it. I am opposed to this advice. It is
very frustrating to read a grant proposal from someone whose view is so
narrow that they don't realize the explanations for what they are
probing can be found in a neighboring part of the literature. I think
an important mission of research societies today should be to foster
integration of scientific knowledge. Rather than being the fine
boundary between biology and mechanics, I think biomechanics should
represent the broad interplay between the two, including the
subdisciplines defined in our bylaws, and more. As we move into the
next century, I hope that the ASB will continue to alleviate the
confining effects of greater specialization by emphasizing the broader
perspectives conceived by our founders in Iowa City in 1977. It certainly seems to me that the superb program and meeting
arrangements here in Pittsburgh have been a shining example of our
society's great tradition in that regard. I thank you all for a
wonderful meeting, for the privilege of serving as president, and for
your kind attention to my talk. May all your students be wranglers, and
may you have the wisdom to teach them!
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