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Global Stabilization of Boolean Networks to Control the Heterogeneity of Cellular Responses
Jung-Min Yang1, Chun-Kyung Lee1, Kwang-Hyun Cho2
1School of Electronics Engineering, Kyungpook National University, Daegu, South Korea.
Abstract:
Boolean networks (BNs) have been widely used as a useful model for molecular regulatory networks in systems biology. In the state space of BNs, attractors represent particular cell phenotypes. For targeted therapy of cancer, there is a pressing need to control the heterogeneity of cellular responses to the targeted drug by reducing the number of attractors associated with the ill phenotypes of cancer cells. Here, we present a novel control scheme for global stabilization of BNs to a unique fixed point. Using a sufficient condition of global stabilization with respect to the adjacency matrix, we can determine a set of constant controls so that the controlled BN is steered toward an unspecified fixed point which can then be further transformed to a desired attractor by subsequent control. Our method is efficient in that it has polynomial complexity with respect to the number of state variables, while having exponential complexity with respect to in-degree of BNs. To demonstrate the applicability of the proposed control scheme, we conduct simulation studies using a regulation influence network describing the metastatic process of cells and the Mitogen-activated protein kinase (MAPK) signaling network that is crucial in cancer cell fate determination.
Insights
This study introduces a new method to control Boolean networks (BNs), which model cell behavior. The technique stabilizes these networks to a single state, potentially reducing cancer cell heterogeneity and improving targeted therapies.
Area of Science:
- Systems Biology
- Computational Biology
- Cancer Research
Background:
- Boolean networks (BNs) model molecular regulatory networks and cell phenotypes.
- Cancer cell heterogeneity necessitates control strategies for targeted therapy.
- Attractors in BNs represent cell phenotypes, with ill phenotypes linked to cancer.
Purpose of the Study:
- To present a novel control scheme for global stabilization of BNs to a unique fixed point.
- To develop a method for reducing the number of attractors associated with undesirable cancer cell phenotypes.
- To enable targeted therapy by controlling cellular responses.
Main Methods:
- Utilizing a sufficient condition for global stabilization based on the adjacency matrix.
- Determining constant controls to steer the BN towards a specific fixed point.
- Applying subsequent control to transform the fixed point into a desired attractor.
Main Results:
- The proposed control scheme achieves global stabilization of BNs to a unique fixed point.
- The method demonstrates polynomial complexity concerning state variables and exponential complexity concerning in-degree.
- Simulations on a metastatic cell regulation network and the MAPK signaling network validate the approach.
Conclusions:
- The novel control scheme offers an efficient method for stabilizing Boolean networks.
- This approach has significant implications for controlling cancer cell heterogeneity and advancing targeted therapies.
- The technique provides a pathway to manipulate cell fate determination by controlling regulatory networks.
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