Medical Applications of Nonadditive Entropies

Abstract

The Boltzmann–Gibbs additive entropy SBG=−k∑ipilnpi and associated statistical mechanics were generalized in 1988 into nonadditive entropy Sq=k1−∑ipiqq−1 and nonextensive statistical mechanics, respectively. Since then, a plethora of medical applications have emerged. In the present review, we illustrate them by briefly presenting image and signal processings, tissue radiation responses, and modeling of disease kinetics, such as for the COVID-19 pandemic.