Physics · Mathematical Modeling · Biological Systems

Prof. Dorilson Cambui

Research in statistical physics, self-propelled particle systems, metabolism, metabolic scaling, Fibonacci dynamics and ontogenetic growth.

My research

Research areas

Self-propelled particles

Phase transitions and collective behavior in self-propelled particle systems, including the effects of noise, speed, density and interactions.

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Metabolism and metabolic scaling

Relations between metabolic rate, body mass, and the metabolic scaling exponent, including models of my own development based on Fibonacci dynamics and ontogenetic growth, designed to explore new ways of representing the relationship between body mass, development, and metabolism.

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Featured research

Metabolic Scaling from Fibonacci Dynamics

The approach connects body mass, developmental stage and the metabolic scaling exponent using a variable \(n\) associated with the golden ratio.

\[M(n)\sim M_0\varphi^n\qquad\Longrightarrow\qquad n=\log_\varphi\!\left(\frac{M}{M_0}\right)\]