Medical Applications of Nonadditive Entropies†

The Boltzmann-Gibbs additive entropy S-BG = -kappa Sigma(i)p(i) ln p(i) and associated statistical mechanics were generalized in 1988 into nonadditive entropy Sq = kappa 1-Sigma(i)p(q) (i) /q-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.

Automated summary

In 1988, the Boltzmann-Gibbs entropy S-BG and statistical mechanics were generalized into nonadditive entropy Sq and nonextensive statistical mechanics. Since then, a wide range of medical applications have emerged, including image and signal processing, tissue radiation responses, and disease kinetics modeling, such as COVID-19 pandemic modeling.