Publicação: Action: numeric metamorphosis of a curve through the PPFM spreadsheet
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If one way is better than another, it is surely the way of nature (Aristotle). This thinking defines the essence of the optimization you always seek: to offer the most efficient solution to a definite problem. The most efficient solution is to know how to apply optimization. Thus, both biologists, economists or engineers, by applying optimization, aim to achieve maximum efficiency, and this goes beyond, and far beyond the description and adjustments of curves or mechanisms (Sutherland, 2005).
Optimization, that is, the application of the first principle, also known as action, it is the key to understanding behaviors, or reasons of choice made by wise nature, when optimizing their costs (Ribeiro, 2017; West et al., 2001, 2004; Sutherland, 2005; Zha et al., 2019; Zhao et al., 2018).
Energy cost is one of the most critical, reason for modulating the behavior of organisms (survival and reproduction) (Bejarano et al., 2017; Tomlinson et al., 2014; Wilson et al., 2006). Another cost factor is time (Gleiss et al, 2011). Thus, the determination of the energy-time cost enables the definition of the action (Rosen, 1984; Grandipierre, 2011c).
This brings us back to optimization, which makes it possible to set the path by prioritizing efficiency, which minimizes energy and time costs (Rosen et al., 2008).
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Mathematical Modeling, Derivatives of position, Derivatives of force, Growth stages, Kinematics and Kinetics, Ontogenetic growth force curve, Principle of action
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Inglês
