Definition
Boolean network (BN) is known as a popular mathematical model for modeling genetic regulatory networks. The BN model was first proposed by Kauffman (1969). In a BN model, the gene expression states are quantized into only two levels: on and off (represented as 1 and 0). The target gene is determined by several other genes called its input genes according to regulation rules (given as Boolean functions). A BN is said to be well defined when all the input genes and Boolean functions are given (Kauffman (1993)). There are two types of BN models: synchronous BNs and asynchronous BNs, depending on whether or not the states of nodes are updated synchronously. Synchronous model is more popular and easier to analyze and therefore we adopt it in our discussion. We note that a BN model is a deterministic model and the only randomness comes from its initial state. Considering the inherent deterministic directionality in BNs as...
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Chen, X., Ching, WK., Tsing, NK. (2013). Boolean Model. In: Dubitzky, W., Wolkenhauer, O., Cho, KH., Yokota, H. (eds) Encyclopedia of Systems Biology. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9863-7_375
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DOI: https://doi.org/10.1007/978-1-4419-9863-7_375
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