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In this paper, we address the formal characterization of targets triggeringcellular trans-differentiation in the scope of Boolean networks withasynchronous dynamics. Given two fixed points of a Boolean network, we areinterested in all the combinations of mutations which allow to switch from onefixed point to the other, either possibly, or inevitably. In the case ofexistential reachability, we prove that the set of nodes to (permanently) flipare only and necessarily in certain connected components of the interactiongraph. In the case of inevitable reachability, we provide an algorithm toidentify a subset of possible solutions.

Relationship between the Reprogramming Determinants of Boolean Networks and their Interaction Graph