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Transmissions Within the Tarsal Gearbox

Peter Wolf Institute for Biomechanics, ETH Zurich, Zurich, Switzerland. Dr. Wolf is now with Sensory-Motor Systems Laboratory, ETH Zurich and with the University of Zurich, Zurich, Switzerland.

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Alex Stacoff Institute for Biomechanics, ETH Zurich, Zurich, Switzerland. Dr. Wolf is now with Sensory-Motor Systems Laboratory, ETH Zurich and with the University of Zurich, Zurich, Switzerland.

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Roger Luechinger Institute for Biomedical Engineering, University and ETH Zurich, Zurich, Switzerland

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Peter Boesiger Institute for Biomedical Engineering, University and ETH Zurich, Zurich, Switzerland

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Edgar Stuessi Institute for Biomechanics, ETH Zurich, Zurich, Switzerland. Dr. Wolf is now with Sensory-Motor Systems Laboratory, ETH Zurich and with the University of Zurich, Zurich, Switzerland.

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Background: The dependence of the movements of the calcaneus, cuboid, navicular, and talus on each other have been described as the tarsal gearbox. To provide a basis of its modeling, data on transmissions between tarsal joint rotations within this gearbox are required. The feasibility of tibiocalcaneal rotations to predict tarsal joint rotations is of interest because a meaningful relation would allow the use of common motion analysis with skin markers to investigate rearfoot kinematics.

Methods: We performed linear regression analyses between tarsal joint and tibiocalcaneal rotations on the basis of magnetic resonance imaging of tibia and tarsal bone positions during quasi-static foot pronation and supination.

Results: In the frontal plane and transverse planes, linear models were found to predict tarsal joint rotations quite well (r2 = 0.83–0.97 for the frontal plane and r2 = 0.73–0.95 for the transverse plane). For each degree of talocalcaneal rotation, there was 1.8° of talonavicular rotation in the frontal plane and 1.6° in the transverse plane; each degree of talocalcaneal rotation resulted in 0.6° of calcanealcuboid rotation in the frontal plane and 0.7° in the transverse plane; each degree of calcaneocuboid rotation resulted in 3° of talonavicular rotation in the frontal plane and 2.8° in the transverse; each degree of tibiocalcaneal rotation resulted in 0.9° of talocalcaneal rotation in the frontal plane and 0.9° in the transverse plane; and each degree of tibiocalcaneal rotation resulted in 1.6° of talonavicular rotation in the frontal plane and 1.3° in the transverse plane.

Conclusion: The present study provides a basis on which the tarsal gearbox in the frontal and the transverse planes under quasi-static conditions can be modeled. Furthermore, it is concluded that tibiocalcaneal rotations are practical for predicting tarsal joint rotations during quasi-static motions. (J Am Podiatr Med Assoc 98(1): 45–50, 2008)

Corresponding author: Peter Wolf, PhD, Sensory-Motor Systems Laboratory, ETH Zurich and University of Zurich, Tannenstrasse 1, 8092 Zurich, Switzerland. (E-mail: pwolf@ethz.ch)
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