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114  M. C. H. VAN DER MEULEN AND P. J. PRENDERGAST




                                 (a)
                                                (b)                   (c)
















                               Figure 7.1. Early diagrams showing the relationship between stresses created by
                               forces on bones and the internal architecture of the skeleton: (a) Culmann’s
                               calculation of the stress trajectories in a crane, (b) Wolff’s drawing of the trabecular
                               orientation in the upper part of the femur, and (c) a photograph of the cross-section
                               of the upper part of the femur.

                               strength. In discussing heritable and acquired traits in On the origin of
                               species, Charles Darwin noted that flying wild ducks have proportionally
                               larger wing bones and smaller leg bones than their nonflying domestic rel-
                               atives. Many natural philosophers of the nineteenth century used mechan-
                               ical principles to explain bone geometry. In 1892 Julius Wolff studied many
                               pathologically healed bones and concluded that bone tissue is distributed
                               within the organ in ways to best resist mechanical forces. A famous
                               exchange between the Swiss engineer Karl Culmann and his colleague
                               Hermann von Meyer is considered the defining ‘eureka’ episode of modern
                               biomechanics. The internal architecture of a femur was being demon-
                               strated by von Meyer, and Culmann, who developed the methods of
                               graphic statics, exclaimed, ‘That’s my crane’ (Figure 7.1). These concepts
                               were further developed and generalised by D’Arcy Thompson in his
                               influential work On growth and form in 1917. The mechanism of bone
                               adaptation was first addressed by the German embryologist Wilhelm Roux
                               in 1895, who proposed the controversial hypothesis that bone cells
                               compete for a functional stimulus, à la Darwin, and engage in a struggle
                               for survival that leads to Selbstgestaltung (self-organisation).
                                  Roux and his contemporaries were not able to advance much beyond
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