Applied Mathematics

Volume 7, Issue 14 (August 2016)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.58  Citations  

Attractor-Based Simultaneous Design of the Minimum Set of Control Nodes and Controllers in Boolean Networks

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DOI: 10.4236/am.2016.714131    1,794 Downloads   2,587 Views  
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ABSTRACT

Design of control strategies for gene regulatory networks is a challenging and important topic in systems biology. In this paper, the problem of finding both a minimum set of control nodes (control inputs) and a controller is studied. A control node corresponds to a gene that expression can be controlled. Here, a Boolean network is used as a model of gene regulatory networks, and control specifications on attractors, which represent cell types or states of cells, are imposed. It is important to design a gene regulatory network that has desired attractors and has no undesired attractors. Using a matrix-based representation of BNs, this problem can be rewritten as an integer linear programming problem. Finally, the proposed method is demonstrated by a numerical example on a WNT5A network, which is related to melanoma.

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Kobayashi, K. (2016) Attractor-Based Simultaneous Design of the Minimum Set of Control Nodes and Controllers in Boolean Networks. Applied Mathematics, 7, 1510-1520. doi: 10.4236/am.2016.714131.

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