A new paradigm for growth modeling: Action

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2020-02-12

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Garcia-Neto, Manoel
Kebreab, Ermias

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Physics and biology are closely related. To facilitate understanding it is possible to make an analogy when thinking of physics and biology as sisters, and yet, because biology is the newest seek advice with the oldest and most experienced, physics (Grandipeierre, 2011). Thus, when one wishes to study relationships and the path from an initial state to its end, the principle of the action of physics shares and clarifies events of biology in a very timely manner. It is possible to generalize that in biology, this concept could be defined as greatest action principle (Johnson, 2006; Grandpierre, 2007). According to the corollary "If all the fundamental physical laws can be derived from the first principle of physics, then the least action principle characterizes all physical behavior" (Grandpierre, 2011). Thus, it is surprising that all the fundamental laws of physics can be derived from the principle of less action. Action, in physics, is an attribute of the dynamics that presents the scalar dimension: energy × time. That is, the integral of the whole process, from the beginning to the end, that in biology would be the study of the growth of an organism (birth to maturation). In this way, biology resembles, but it does not equate to physics, because its flexibility allows and desires vitality and quality of life (Grandpierre, 2011).

Palavras-chave

Mathematical Modeling, Derivatives of position, Derivatives of force, Growth stages, Kinematics and Kinetics, Ontogenetic growth force curve, Principle of action

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