The principles of cascading power limits in small, fast biologcial and engineered systems

Mark Ilton, M. Saad Bhamla, Xiaotian Ma, Suzanne M. Cox, Leah L. Fitchett, Yongjin Kim, Je sung Koh, Deepak Krishnamurthy, Chi Yun Kuo, Fatma Zeynep Temel, Alfred J. Crosby, Manu Prakash, Gregory P. Sutton, Robert J. Wood, Emanuel Azizi, Sarah Bergbreiter, S. N. Patek*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

186 Citations (Scopus)
462 Downloads (Pure)

Abstract

Mechanical power limitations emerge from the inextricable, physical trade-off between force and velocity. Whether power is measured in launching missiles or running humans, it is impossible to maximize both force and velocity. Many biological systems incorporate powerenhancing mechanisms to great effect, enabling accelerations that exceed bullets and missiles; yet how these mechanisms actually enhance power output is not clear. Here we establish
how power enhancement emerges through dynamic coupling of motors, springs, and latches. Power output of motors can be enhanced by springs only under particular conditions and the power dynamics (and limitations) of springs are influenced by their own mass, mechanical properties, and time-dependent behavior. Latch mechanisms mediate potential energy storage
and the rate of energy transfer from a spring to a projectile. The integration of mathematical, physical, engineering, and evolutionary approaches illuminates the cascading challenges of power enhancement and their emergent effects in biological and engineered systems.
Original languageEnglish
Article number397
JournalScience
Volume360
Issue number6387
Early online date27 Apr 2018
DOIs
Publication statusPublished - 27 Apr 2018

Keywords

  • Biomechanics
  • Elastic
  • Jumping
  • High Speed Motion

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