open access

https://hdl.handle.net/2115/73831

Design of Fixed Points in Boolean Networks Using Feedback Vertex Sets and Model Reduction

英語

2019-03-04

Wiley-Hindawi

Complexity

2019

9261793

Fixed points in Boolean networks (BNs) represent cell types or states of cells and are important to decide characteristics of cells. As the control problem on fixed points, it is important to consider the problem of changing fixed points by using external stimuli (i.e., control inputs). In this paper, we propose two methods for designing fixed points. First, a design method using model reduction is proposed. Using the reduced model, the problem of placing fixed points can be rewritten as an integer linear programming problem. Next, we consider the design problem using only the graph structure of a given BN and derive some results. In both methods, a feedback vertex set of a directed graph plays an important role. Finally, a biological example is presented.

学術雑誌論文

Version of Record

Creative Commons Attribution 4.0 International

1076-2787

1099-0526

AA11038146