A. J. Van Den Bogert

In vivo Tendon Forces in the Forelimb of Ponies at the Walk, Validated by Ground Reaction Force Measurements

The load distribution over tendinous structures in the equine forelimb was studied by computing forces from in vivo signals of implanted liquid-metal strain gauges in 5 ponies. For validation, these tendon forces were converted to joint moments, which were summed and compared to the calculated joint moments caused by the ground reaction force. Mean peak forces per kilogram body weight (n = 5) amounted to 5.2 N/kg for the superficial digital flexor tendon, 3.8 N/kg for the deep digital flexor tendon, 7.3 N/kg for the distal accessory (check) ligament and 8.4 N/kg for the third interosseous muscle (suspensory ligament). The maximal moment exerted by the tendons about the fetlock joint differed 11 +/- 7% (average +/- SD, n = 5) from the maximal ground reaction force moment, which difference amounted to 17 +/- 15% for the coffin joint moments. These differences appeared to result to a substantial extent from errors in the moment arms. Therefore, the computed tendon forces were considered to be sufficiently reliable.

Simulation of quadrupedal locomotion using a rigid body model

Locomotion of the horse is simulated using a mathematical model based on rigid body dynamics. A general method to generate the equations of motion for a two-dimensional rigid body model with an arbitrary number of hinge joints is presented and a numerical solution method, restricted to tree-structured models, is described. Joint movements originating from muscular forces or moments are simulated, but the method also allows that parts of the model follow strictly the pattern of kinematic data. Moment-generators with first-order linear feedback were used as a rotational muscle-equivalent. Ground-hoof interaction forces are approximated by a viscoelastic model and pseudo-Coulomb friction in vertical and horizontal directions respectively. Results of model simulations are compared to experimentally recorded data. Subsequently, adjustments are made to improve the agreement between simulation and experimental results.

Correction for skin displacement errors in movement analysis of the horse

In movement analysis of the horse, large errors result from movements of the skin with respect to the underlying bones. A generally applicable, two-dimensional, method for correction of these skin-movement errors in kinematic data has been developed. It was tested on a kinematic analysis of the hindlimb in a walking pony. The results indicate that without correction for skin-movement errors, misreadings of up to 15 degrees in the knee angle and 30% in the moment arm of the gastrocnemius muscle can be expected.

Strain of the Musculus interosseus medius and Its Rami extensorii in the Horse, Deduced from in vivo Kinematics

The in vivo strains of the musculus interosseus medius (suspensory ligament) and its rami extensorii (extensor branches) in the forelimb of the horse were determined from angular changes of the metacarpophalangeal and the distal interphalangeal joints. For this purpose, regression models were fitted to strains and joint angle combinations measured in in vitro limb loading experiments. The in vivo strains were computed from the kinematics of 8 horses at the walk, the trot and the canter. It was found that the extensor branches were strained about 1.0% at hoof impact, which indicates that they passively extend the interphalangeal joints just prior to impact and prevent flexion of the pastern joint just thereafter. The maximal strain of the suspensory ligament amounted to 3.4% at the walk, 5.6% at the trot and 6.3% at a slow canter.

A kinematic and strain gauge study of the reciprocal apparatus in the equine hind limb

Hind limb kinematics were recorded in five horses at walk and trot using an opto-electronic CODA-3 system. Simultaneously, in vivo strain in the completely tendinous peroneus tertius muscle was registered by implanted mercury-in-silastic strain gauges. The origin-insertion length patterns of the peroneus tertius were calculated from raw kinematic data and from data corrected for the error caused by skin displacement, and compared with the directly measured strain. The strain patterns calculated from externally measured kinematic data appeared to be in accordance with the directly measured strain gauge data. However, a correction for skin displacement is an obligatory prerequisite to obtain reliable results. The amplitudes of strain did not exceed 3% and appeared to be of about the same magnitude at both walk and trot.

A Method to Estimate the Initial Length of Equine Tendons

A procedure is described by which the length of a tendon at the onset of loading is determined objectively. The procedure includes the fitting of third-order polynomial functions on the load-elongation data. The onset of loading is detected by an increasing fit of the polynomial by selective data reduction of the initial part of the load-elongation curve. The procedure results in an objective and reproducible definition of the zero strain level of a tendon.

Analysis of locomotion in the horse using computer aided engineering software

An application of the DADS rigid-body package for analysis of locomotion in the horse is described. An important subject of study in equine locomotion research is the magnitude and distribution of forces inside the body, as it is generally assumed that overloading of joints, ligaments, and tendons is one of the main causes of acute and chronic injuries in equestrian sports. A biomechanical model of the horse has been developed to simulate the behavior of the musculoskeletal system under varying circumstances. The simulation software described was implemented on an Apollo DN4000 workstation using the DADS software package (version 5.0). Normal walking was simulated, using kinematic data for the proximal joints and tendon strain recordings from a normal walking pony as driving input for the model. Both movements and forces resemble observations in live animals. During the development of this model, much insight into the functioning of the locomotor system was gained. In particular, the role of polyarticular muscles and ligaments in the equine limbs was better understood.<<ETX>>