Stability Analysis of Breast Cancer Gene Regulation Network based on Boolean Network Model

Boolean network technology was used to construct and analyze breast cancer gene regulation network. Methods: Collect known breast cancer related genes and their regulatory relationships and visualize them, decompose the network through topological structure analysis, and make Boolean rules according to the regulatory relationships between genes. On the basis of previous studies, the paper uses mathematical analysis method to establish a Boolean control network model. The initial state of the network evolves with the method of Boolean rules, and the main attractors obtained correspond to the health state. Introducing the mathematical tool of semi tensor product of matrix, we analyze the attractor control of Boolean gene control network, knock out the key genes which have great influence on the output of the network, simulate gene mutation, and analyze the attractor change of the new network. Results: After the key gene has been knocked out, the attractor of the network has different degrees of development to the direction of canceration. Boolean network model can effectively simulate the dynamic gene regulation process of breast cancer and provide a reference optimal control gene node for the treatment of breast cancer.