Julius Wolff was born in March, 1836 in Märkisch Friedland in West Prussia (now Mirosławiec, Poland) [3]. He attended gymnasium in Berlin and then the University of Berlin. Wolff studied medicine at the Friedrich Wilhelm Universität, where he obtained a medical degree in 1860 and wrote his dissertation (“De Artificiali Ossium Productione in Animalibus”) under Bernhard Langenbeck (who founded Langenbecks Archiv für klinische Chirurgie). He married Anna Weigert in 1869 and the couple had three children, one of whom tragically died at the age of 6 (personal communication, Dr. Georg Bergmann, The Julius Wolff Institute, Berlin as reported by Karola Nick for the Jewish Museum of Frankfurt, Germany). According to Nick there are available 168 private letters indicating his devotion to his family. He wrote poems for the children of his four siblings. According to his wife’s reminiscences, he awoke every morning at 5 AM and worked on his research until about 8 AM. He was fond of classical music and literature [4].

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In the late 60s Wolff became aware of the work of von Meyer and Culmann in Zurich. Herman von Meyer, an anatomist at the University of Zurich, described the regularity of the architecture of cancellous bone from subject to subject in the same bone [6]. Evidently, Culmann, a professor of engineering at the Swiss Federal Polytechnic Institute, attended a lecture given von Meyer on this architecture and recognized a possible importance of that regularity. Culmann had developed a type of stress analysis, “Graphische Statik” which showed that the “trajectories” of principle compressive and tensile stresses crossed at right angles. He recognized the trabeculae in von Meyer’s specimens followed similar trajectories to those in solid structures (Culmann’s example was a Fairbairn crane). von Meyer’s paper [6] included that discussion. To pursue his research into the structure of bone, Wolff developed a technique to make thin sections (“Fournierblätter”) of whole bones so he might carefully examine the trabecular patterns (this was decades before the discovery of xrays) [5]. This method was crucial to his observations because it allowed a more detailed sense of trabecular directions in various locations rather than simply on the surface of a single cut section. Wolff suggested von Meyer failed to recognize the trabeculae crossed at right angles and connected to the cortex at right angles, and thus did not realize they were formed along the lines of principle compressive and tensile stresses [9]. (Wolff conveniently ignored the fact that many trabeculae do not cross at right angles and usually do not connect to the inner cortex at right angles; scientists are prone to overlooking evidence contradictory to their theories.) He published his first two papers in 1870 and 1873 [7, 8], and it is those two papers we reproduce here in translation (with the original German texts, available with the online version of CORR.). These two articles became the basis for his opus magnum, The Law of Bone Transformation (Das Gesetz der Transformation der Knochen) published in 1892 [9]. (We are indeed fortunate that this entire volume was translated into English in 1986 by Maquet and Furlong [10].) In that work Wolff made three major observations: (1) trabecular architecture is regular in a given bone from individual to individual; (2) many trabeculae cross at right angles; (3) when a bone is fractured or deformed and the trabeculae would not be at right angles, they reorient over time so they are again at right angles [1]. The first of these three was not original with Wolff nor was the second (Wolff acknowledge Jeffries Wyman, in 1857, had recognized trabeculae crossed at right angles and even if von Meyer had not explicitly commented on the crossing at right angles, the connection with the principal tensile and compressive stresses was apparent and implied from the illustration of the stresses in a Fairbairn crane). The third observation was original with Wolff. He searched numerous museums and dissection rooms to find a wide array of pathological specimens to document the reorientation of trabeculae. This remodeling, in a sense, documented the active nature of bone adaptation, and according to a specific “law” which he termed a “mathematical law.” Wolff, however, never defined that law in any mathematical sense, and perhaps the clearest statement of “Wolff’s Law” came at the end of the short first chapter:

“The law of bone remodeling is that mathematical law according to which observed alterations in the internal architecture and external form of bone occur as a consequence of the change in shape and/or stressing of bone.” (Translation mine, not that of Maquet and Furlong [10].) (“Es ist demnach unter dem Gesetze der Transformation der Knochen dasjenige Gesetz zu verstehen, nach welchem im Gefolge primärer Abänderungen der Form Inanspruch-nahme, oder auch bloß der Inanspruchnahme der Knochen, bestimmte, nach mathematischen Regeln eintetrende Umwandlungen der innerer Architectur und ebenso bestimmte, denselben mathematischen Regeln folgenden secondäre Umwandlungen der äusseren Form der betreffenden Knochen sich vollziehen.”)