Abstract. In this paper, a method for decoupling the neuromuscular function of a set of limbs from the role morphology plays in regulating the performance of an activity is introduced. This method is based on two previous methods: the rescaled range analysis specific to time series data, and the use of scaling laws. A review of the literature suggests that limb geometry can either facilitate or constrain performance as measured experimentally. Whether limb geometry is facilitatory or acts as a constraint depends on the size differential between arm morphology and the underlying muscle. "Changes in size and shape" are theoretically extrapolations of morphological geometry to other members of a population or species, to other species, or to technological manipulations of an individual via prosthetic devices. Three datasets are analyzed using the range-based method and a Monte-Carlo simulation, and are used to test the various ways of executing this analysis. It was found that when performance is kept stable but limb size and shape is scaled by a factor of .25, the greatest gain in performance results. It was also found that introducing force-based perturbations results in 'shifts' in the body geometry/performance relationship. While results such as this could be interpreted as a statistical artifact, the non-linear rise within a measurement class and linear decrease between measurement classes suggests an effect of scale in the optimality of this relationship. Overall, range-based techniques allow for the simulation and modeling of myriad changes in phenotype that result from biological and technological manipulation.
IntroductionNeuromechanical systems are adaptive entities that involve interplay between adaptation, the automation of behavior by the nervous system, and the constraints of limb geometry (Enoka, 2002). One such factor in determining performance involves differences in intralimb proportions for a specific morphological system. Intralimb proportions are also physically variable in a way that is predictable across individuals and populations (Holmes et.al, 2006). This is a product of evolutionary forces. Trait size is controlled by the rate of cell proliferation both locally and globally in the phenotype (Emlen and Allen, 2004). Another factor that determines performance is adaptation based on the interaction of neuromuscular behavior and adaptation. There are various regularities in the properties of muscle mass, muscle fiber composition, and mechanical advantage during function that is related in a linear fashion when compared across phenotypes of different sizes (Barry and Enoka, 2007;Rome, 1999).