论文标题
嵌套管的多相功能的平均灵敏度
Average sensitivity of nested canalizing multivalued functions
论文作者
论文摘要
在基因调节网络的布尔建模的背景下，已经研究了生物功能的渠道特性。流口化的重要数学后果是平均灵敏度较低，这尤其确保了对噪声的预期鲁棒性。在某些情况下，布尔描述太粗糙了，可能有必要考虑涉及两个以上表达的功能。我们在这里研究了这些多值函数的嵌套管的特性。我们证明，嵌套的多值函数的平均灵敏度在上方以常数为界。在此过程中，我们引入了嵌套的载量多相关功能的概括，我们称之为弱嵌套的载液，该上限为此。
The canalizing properties of biological functions have been mainly studied in the context of Boolean modelling of gene regulatory networks. An important mathematical consequence of canalization is a low average sensitivity, which ensures in particular the expected robustness to noise. In certain situations, the Boolean description is too crude, and it may be necessary to consider functions involving more than two levels of expression. We investigate here the properties of nested canalization for these multivalued functions. We prove that the average sensitivity of nested canalizing multivalued functions is bounded above by a constant. In doing so, we introduce a generalization of nested canalizing multivalued functions, which we call weakly nested canalizing, for which this upper bound holds.
