Title |
Static Control of Boolean Networks Using Semi-Tensor Product Operation |
Authors |
박지숙(Park, Ji Suk) ; 양정민(Yang, Jung-Min) |
DOI |
https://doi.org/10.5370/KIEE.2017.66.1.137 |
Keywords |
Boolean networks ; Semi-tensor product (STP) ; Static control ; Systems biology |
Abstract |
In this paper, we investigate static control of Boolean networks described in the framework of semi-tensor product (STP) operation. The control objective is to determine control input nodes and their logical values so as to stabilize the considered Boolean network to a desired fixed point or cycle. Using topology of Boolean networks such as incidence matrix and hub nodes, a set of appropriate control input nodes is selected, and based on STP operations, we assign constant control inputs so that the controlled network can converge to a prescribed fixed point or cycle. To validate applicability of the proposed scheme, we conduct a numerical study on the problem of determining control input nodes for a Boolean network representing hierarchical differentiation of myeloid progenitors. |