Growth curve: an intelligent life history described by a mathematical model using the Practical Program for Forces Modeling spreadsheet
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Data
2021-05-09
Autores
Garcia-Neto, Manoel
Kebreab, Ermias
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Descrição
The Practical Program for Forces Modeling (PPFM) spreadsheet is an innovative tool that analyzes the growth process and its history (phases and strategies). The biggest differential is in unfolding the evaluation according to the Newtonian point of view. To do so, the PPFM begins it process in a traditional way, by adjusting growth curves using the least square method, with subsequent unfolding of derivatives. The first derivative represents velocity and the second derivative characterizes acceleration. From this, its prerogative arises, the Newtonian phase of the evaluation, through the well-known formula F = m × a allows to define with great precision the transition between eight possible phases (lag, log up, linear, log down, plateau, death, spurt and resilience), which represent the most favorable strategies to follow this path. Finally, the spreadsheet calculates another novelty, the useful work (action = energy × time) necessary to promote the growth process according to the period of time evaluated.
Palavras-chave
PPFM, Growth process, Growth curves, Growth phases, action = energy × time, The action principle, Ontogenetic growth force curve, Lag phase, Resilience phase