The number of multistate nested canalyzing functions

DOI10.1016/j.physd.2012.02.011zbMath1300.92036arXiv1108.0206OpenAlexW2101803083MaRDI QIDQ446117

David Murrugarra, Reinhard C. Laubenbacher

Publication date: 28 August 2012

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.0206

zbMATH Keywords

formulamultistatenested canalyzing functionsregulatory logic

Mathematics Subject Classification ID

Systems biology, networks (92C42)

Related Items (13)

Inferring biologically relevant models: nested canalyzing functions ⋮ Quantifying the total effect of edge interventions in discrete multistate networks ⋮ Boolean nested canalizing functions: a comprehensive analysis ⋮ Collectively canalizing Boolean functions ⋮ From multivalued to Boolean functions: preservation of soft nested canalization ⋮ Average sensitivity of nested canalizing multivalued functions ⋮ Multistate nested canalizing functions and their networks ⋮ Maximal sensitivity of Boolean nested canalizing functions ⋮ Dimension reduction of large sparse AND-NOT network models ⋮ Algebraic Models and Their Use in Systems Biology ⋮ Revealing the canalizing structure of Boolean functions: algorithms and applications ⋮ Certificate complexity and symmetry of nested canalizing functions ⋮ Stratification and enumeration of Boolean functions by canalizing depth

Cites Work

• Inferring biologically relevant models: nested canalyzing functions
• A mathematical framework for agent based models of complex biological networks
• Regulatory patterns in molecular interaction networks
• The number and probability of canalizing functions
• Nested canalyzing, unate cascade, and polynomial functions
• On the Number of Fanout-Free Functions and Unate Cascade Functions

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