Collectively canalizing Boolean functions

This paper studies the mathematical properties of collectively canalizing Boolean functions, a class functions that has arisen from applications in systems biology. networks are an increasingly popular modeling framework for regulatory networks, and studied here captures key feature biological network dynamics, namely subset one or more variables, under certain conditions, can dominate value function, to exclusion all others. These have rich be explored. The shows how number type such sets influence function's behavior define new measure strength any function. We further connect concept collective canalization with well-studied average sensitivity relationship between dynamics they form is important wide range beyond biology, as computer science, been statistical simulation-based methods. But structure remains largely unexplored, this intended contribution its foundation.