Sensitivity of muscle force estimates to variations in muscle–tendon properties

Redl, Christian; Gfoehler, Margit; Pandy, Marcus G.

doi:10.1016/j.humov.2007.01.008

Cited by 116 publications

(121 citation statements)

References 26 publications

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“…Consistent with previous studies, model force-and momentgenerating capacities were most sensitive to uncertainty in tendon slack lengths (Delp et al, 1990;Out et al, 1996;Redl et al, 2007), although the magnitude of the effect varied across muscles (Figs 6, 7). The different sensitivities were due in large part to differences in the ratio of tendon length to muscle fiber length (Table 2), though model sensitivity may be influenced by other geometric factors, such as the ratio of tendon length or muscle fiber length to moment arm (Delp et al, 1990).…”

Section: Model Predictions and Sensitivitiessupporting

confidence: 87%

A three-dimensional musculoskeletal model of the chimpanzee (Pan troglodytes) pelvis and hind limb

O’Neill

Lee

Larson

et al. 2013

Journal of Experimental Biology

145

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SUMMARYMusculoskeletal models have become important tools for studying a range of muscle-driven movements. However, most work has been in modern humans, with few applications in other species. Chimpanzees are facultative bipeds and our closest living relatives, and have provided numerous important insights into our own evolution. A chimpanzee musculoskeletal model would allow integration across a wide range of laboratory-based experimental data, providing new insights into the determinants of their locomotor performance capabilities, as well as the origins and evolution of human bipedalism. Here, we described a detailed three-dimensional (3D) musculoskeletal model of the chimpanzee pelvis and hind limb. The model includes geometric representations of bones and joints, as well as 35 muscle-tendon units that were represented using 44 Hill-type muscle models. Muscle architecture data, such as muscle masses, fascicle lengths and pennation angles, were drawn from literature sources. The model permits calculation of 3D muscle moment arms, muscle-tendon lengths and isometric muscle forces over a wide range of joint positions. Muscle-tendon moment arms predicted by the model were generally in good agreement with tendon-excursion estimates from cadaveric specimens. Sensitivity analyses provided information on the parameters that model predictions are most and least sensitive to, which offers important context for interpreting future results obtained with the model. Comparisons with a similar human musculoskeletal model indicate that chimpanzees are better suited for force production over a larger range of joint positions than humans. This study represents an important step in understanding the integrated function of the neuromusculoskeletal systems in chimpanzee locomotion.

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Section: Model Predictions and Sensitivitiessupporting

confidence: 87%

A three-dimensional musculoskeletal model of the chimpanzee (Pan troglodytes) pelvis and hind limb

O’Neill

Lee

Larson

et al. 2013

Journal of Experimental Biology

145

View full text Add to dashboard Cite

show abstract

“…When developing a musculoskeletal model, it is important to test the sensitivity of its outputs to variations in the estimation of its parameters. The range for such sensitivity analysis is typically Յ10% of the relevant estimated parameter (24,30). Our results suggest that sensitivity analyses should cover a wide range (i.e., up to 30%) when a model's sensitivity to variations in Achilles tendon moment arm is evaluated.…”

Section: Discussionmentioning

confidence: 93%

Direct comparison of in vivo Achilles tendon moment arms obtained from ultrasound and MR scans

Fath

Blazevich

Waugh

et al. 2010

Journal of Applied Physiology

121

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Accurate and reliable estimation of muscle moment arms is a prerequisite for the development of musculoskeletal models. Numerous techniques are available to estimate the Achilles tendon moment arm in vivo. The purposes of this study were 1) to compare in vivo Achilles tendon moment arms obtained using the center of rotation (COR) and tendon excursion (TE) methods and 2) to assess the reliability of each method. For the COR method, magnetic resonance (MR) images from nine participants were obtained at ankle angles of −15°, 0°, and +15° and analyzed using Reuleaux' method. For the TE method, the movement of the gastrocnemius medialis-Achilles tendon junction was recorded using ultrasonography as the ankle was passively rotated through its range of motion. The Achilles tendon moment arm was obtained by differentiation of tendon displacement with respect to ankle angular excursion using seven different differentiation techniques. Moment arms obtained using the COR method were significantly greater than those obtained using the TE method ( P < 0.01), but results from both methods were well correlated. The coefficient of determination between moment arms derived from the COR and TE methods was highest when tendon displacement was linearly differentiated over a ±10° interval ( R2 = 0.94). The between-measurement coefficient of variation was 3.9% for the COR method and 4.5–9.7% for the TE method, depending on the differentiation technique. The high reliabilities and strong relationship between methods demonstrate that both methods are robust against their limitations. The large absolute between-method differences (∼25–30%) in moment arms have significant implications for their use in musculoskeletal models.

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“…17 It is difficult to know how the model predictions of leg-muscle forces and tibiofemoral joint loading may be affected by these approximations. In a recent study on the sensitivity of muscle force estimates to changes in muscletendon properties, Redl et al 18 found that changes in the muscle-fiber length and tendon rest length of vasti were most critical to model estimates of leg-muscle forces in normal gait.…”

Section: Discussionmentioning

confidence: 99%

Evaluation of predicted knee‐joint muscle forces during gait using an instrumented knee implant

Kim

Fernandez

Akbarshahi

et al. 2009

Journal Orthopaedic Research

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161

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Musculoskeletal modeling and optimization theory are often used to determine muscle forces in vivo. However, convincing quantitative evaluation of these predictions has been limited to date. The present study evaluated model predictions of knee muscle forces during walking using in vivo measurements of joint contact loading acquired from an instrumented implant. Joint motion, ground reaction force, and tibial contact force data were recorded simultaneously from a single subject walking at slow, normal, and fast speeds. The body was modeled as an 8-segment, 21-degree-of-freedom articulated linkage, actuated by 58 muscles. Joint moments obtained from inverse dynamics were decomposed into leg-muscle forces by solving an optimization problem that minimized the sum of the squares of the muscle activations. The predicted knee muscle forces were input into a 3D knee implant contact model to calculate tibial contact forces. Calculated and measured tibial contact forces were in good agreement for all three walking speeds. The average RMS errors for the medial, lateral, and total contact forces over the entire gait cycle and across all trials were 140 AE 40 N, 115 AE 32 N, and 183 AE 45 N, respectively. Muscle coordination predicted by the model was also consistent with EMG measurements reported for normal walking. The combined experimental and modeling approach used in this study provides a quantitative framework for evaluating model predictions of muscle forces in human movement. ß

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Sensitivity of muscle force estimates to variations in muscle–tendon properties

Cited by 116 publications

References 26 publications

A three-dimensional musculoskeletal model of the chimpanzee (Pan troglodytes) pelvis and hind limb

A three-dimensional musculoskeletal model of the chimpanzee (Pan troglodytes) pelvis and hind limb

Direct comparison of in vivo Achilles tendon moment arms obtained from ultrasound and MR scans

Evaluation of predicted knee‐joint muscle forces during gait using an instrumented knee implant

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