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J Appl Physiol (October 18, 2007). doi:10.1152/japplphysiol.01090.2006
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Submitted on September 27, 2006
Accepted on October 15, 2007

Compliance, actuation, and work characteristics of the goat foreleg and hindleg during level, uphill, and downhill running

David V. Lee1*, M. Polly McGuigan2, Edwin H. Yoo3, and Andrew A. Biewener3

1 School of Life Sciences, University of Nevada, Las Vegas, Las Vegas, Nevada, United States
2 Sport and Exercise Science, University of Bath, Bath, United Kingdom
3 Concord Field Station, Harvard University, Bedford, Massachusetts, United States

* To whom correspondence should be addressed. E-mail: dvlee1{at}gmail.com.

We model the action of muscle-tendon system(s) about a given joint as a serial actuator and spring. The experimental joint moment is imposed while the combined angular deflection of the actuator and spring are constrained to match the experimental joint angle throughout the stance duration. The same technique is applied to the radial leg. The spring constant that minimizes total actuator work is considered optimal, and this minimum work is expressed as a fraction of total joint/radial leg work, yielding an actuation ratio (AR; 1 = pure actuation, 0 = pure compliance). In order to address work modulation, we determined the specific net work (SNW) - the absolute value of net, divided by total work. This ratio is unity when only positive or negative work is done and zero when equal energy is absorbed and returned. Our proximo-distal predictions of joint function are supported during level and 15 ° grade running. The greatest AR and SNW are found in the proximal leg joints (elbow and knee). The ankle is the principal spring of the hindleg, showing no significant change in SNW with grade. This reflects the true compliance of the common calcaneal tendon. The principal foreleg spring is the metacarpophlangeal (MCP) joint. The observed pattern of proximal actuation and distal compliance, as well as the substantial SNW at proximal joints, minimal SNW at intermediate joints, and energy absorption at distal joints may emerge as general principles in quadruped limb mechanics and inform the leg designs of highly capable running robots.




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M. P. McGuigan, E. Yoo, D. V. Lee, and A. A. Biewener
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