A Novel Antifragility Measure Based on Satisfaction and Its Application to Random and Biological Boolean Networks

TL;DR

This paper introduces a new, easily calculable measure of antifragility based on satisfaction change, applied to Boolean networks, revealing that ordered systems and certain biological systems are antifragile, with potential applications in engineering and medicine.

Contribution

It proposes a novel antifragility measure based on satisfaction change and demonstrates its effectiveness on random and biological Boolean networks.

Findings

Ordered RBNs are highly antifragile.

Seven biological systems exhibit antifragility.

The measure can inform engineering and medical strategies.

Abstract

Antifragility is a property that enhances the capability of a system in response to external perturbations. Although the concept has been applied in many areas, a practical measure of antifragility has not been developed yet. Here we propose a simply calculable measure of antifragility, based on the change of "satisfaction" before and after adding perturbations, and apply it to random Boolean networks (RBNs). Using the measure, we found that ordered RBNs are the most antifragile. Also, we demonstrated that seven biological systems are antifragile. Our measure and results can be used in various applications of Boolean networks (BNs) including creating antifragile engineering systems, identifying the genetic mechanism of antifragile biological systems, and developing new treatment strategies for various diseases.