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State feedback control design for Boolean networks.

Rongjie Liu1, Chunjiang Qian1, Shuqian Liu2

  • 1Department of Electrical and Computer Engineering, The University of Texas at San Antonio, San Antonio, 78249, TX, United States.

BMC Systems Biology
|September 3, 2016
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Summary
This summary is machine-generated.

This study introduces a novel state feedback control strategy for Boolean networks, enabling real-time control of biological pathways. The method provides a condition for network controllability and identifies reachable states, advancing network control theory.

Keywords:
Boolean networkControllabilityState feedback control

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Area of Science:

  • Systems Biology
  • Network Science
  • Control Theory

Background:

  • Controlling biological pathways and regulatory networks is crucial.
  • Existing methods lack a bridge between mathematical controllability conditions and practical Boolean operations.
  • Real-time control strategies for Boolean networks are underdeveloped.

Purpose of the Study:

  • To develop a method for controlling Boolean networks to desired states.
  • To establish a necessary and sufficient condition for Boolean network controllability.
  • To propose the first real-time state feedback control strategy for Boolean networks.

Main Methods:

  • Applied semi-tensor product to represent Boolean functions and analyzed network controllability using transition matrices and time transition diagrams.
  • Determined the condition for controllability and mapped it to Boolean functions and network structure.
  • Developed a state feedback control strategy based on the status of all network nodes.

Main Results:

  • Established a condition for Boolean network controllability and an efficient tool to assess it, identifying reachable and non-reachable states.
  • Identified six simplest forms of controllable 2-node Boolean networks and extended findings to larger networks.
  • Successfully applied the control strategy to the P53 pathway, predicting its progression and validating with experimental data.

Conclusions:

  • The proposed state feedback control strategy enables real-time control of Boolean networks, a significant advancement over existing methods.
  • The findings enhance the understanding of Boolean network evolution and offer potential for output feedback control design.
  • This work provides a practical approach to controlling complex biological systems.