Partial Order on the set of Boolean Regulatory Functions

Logical models have been successfully used to describe regulatory and signaling networks without requiring quantitative data. However, existing data is insufficient to adequately define a unique model, rendering the parametrization of a given model a difficult task. Here, we focus on the characteriz...

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Bibliographic Details
Main Author: José E. R. Cury (author)
Other Authors: Pedro T. Monteiro (author), Claudine Chaouiya (author)
Format: preprint
Language:eng
Published: 2020
Subjects:
Online Access:http://hdl.handle.net/10400.7/936
Country:Portugal
Oai:oai:arca.igc.gulbenkian.pt:10400.7/936
Description
Summary:Logical models have been successfully used to describe regulatory and signaling networks without requiring quantitative data. However, existing data is insufficient to adequately define a unique model, rendering the parametrization of a given model a difficult task. Here, we focus on the characterization of the set of Boolean functions compatible with a given regulatory structure, i.e. the set of all monotone nondegenerate Boolean functions. We then propose an original set of rules to locally explore the direct neighboring functions of any function in this set, without explicitly generating the whole set. Also, we provide relationships between the regulatory functions and their corresponding dynamics. Finally, we illustrate the usefulness of this approach by revisiting Probabilistic Boolean Networks with the model of T helper cell differentiation from Mendoza & Xenarios.