Abstract
As stated before, initially a Boolean control network (BCN) (see \(\Sigma _1\) in Fig. 3.1) was in a state, then as inputs were fed into the BCN one by one, state transitions occurred successively, yielding a sequence of outputs. What may interest us is: Could the above process be reversed? That is, whether there exists another BCN (see \(\Sigma _2\) in Fig. 3.1) that reverses the inputs and outputs of \(\Sigma _1\). In this chapter, we prove a series of fundamental results on this problem, and apply these results to the mammalian cell cycle.
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Zhang, K., Zhang, L., Xie, L. (2020). Invertibility and Nonsingularity of Boolean Control Networks. In: Discrete-Time and Discrete-Space Dynamical Systems. Communications and Control Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-25972-3_3
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DOI: https://doi.org/10.1007/978-3-030-25972-3_3
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