Average Sensitivity of Nested Canalizing Multivalued Functions

The canalizing properties of biological functions have been mainly studied in the context Boolean modelling gene regulatory networks. An important mathematical consequence canalization is a low average sensitivity, which ensures particular expected robustness to noise. In certain situations, description too crude, and it may be necessary consider involving more than two levels expression. We investigate here nested for these multivalued functions. prove that sensitivity bounded above by constant. doing so, we introduce generalization functions, call weakly canalizing, this upper bound holds.