Fig. 6: The performance-efficiency tradeoff quantified.

a Objective function applied to in-vivo meta-analysis data (purple scatter points, N = 26 measurements with associated error bars as reported in their respective studies) and the simple 2-state actomyosin model (dashed black line). ϕHill is minimized at \({\alpha }_{\,{\mbox{2-st}}\,}^{* }=5.72\), agreeing with α* = 3.85 ± 2.32 (gray shaded region). Inset: Efficiency η (red symbols) and power characteristic PC (blue symbols) as functions of the nonlinearity parameter α. b Objective function ϕHill as a function of the nonlinearity parameter α in HillBot (purple circles, N = 169 trials) with electromechanical model (black dashed line). The gray region corresponds to the characteristic nonlinearity α*. Sub-panel shows an exchange of power characteristic (blue circles) and efficiency (red circles) with α; ϕHill is minimized at \({\alpha }_{\,{\mbox{bot}}\,}^{* }=4.0\).