Papadopoulos, A. (2009) Hydrodynamics-based functional forms of activity metabolism: A case for the power-law polynomial function in animal swimming energetics. PLoS ONE, 4, e4852.
http://dx.doi.org/10.1371/journal.pone.0004852

has been cited by the following article:

• TITLE: Relating models of activity metabolism to the metabolic efficiency of steady swimming

  AUTHORS: Anthony Papadopoulos

  KEYWORDS: Activity Metabolism; Exponent; Metabolic Efficiency; Power Law; Steady Swimming

  JOURNAL NAME: Open Journal of Animal Sciences, Vol.3 No.4, October 28, 2013

  ABSTRACT: Power-law ( ) and exponential power-law ( ) functional forms model activity metabolism ( ) for fully submerged swimming animals, and are special cases of the power-law polynomial equation, in which is the observed total metabolic rate measured at an observed steady swimming speed, . The relationship between the metabolic efficiency of steady swimming and the exponents of is addressed in this paper to establish the use of () and () as optimal efficiencies for comparing the hydrodynamic and muscle metabolic efficiencies among fully submerged animals that engage in steady swimming activities. The metabolic efficiency of steady swimming is transformed into its ideal form ( ) from which the optimal hydrodynamic efficiency ( ) and the optimal muscle metabolic efficiency ( ) are derived. These optimal efficiencies are therefore ideal metabolic efficiencies measured at different optimal steady speeds. Subsequently, linear ( ) and exponential ( ) models are approximations with divergent optimal muscle metabolic efficiencies ( and , respectively), but with a similar optimal hydrodynamic efficiency ( ).