An achievable rate region for interfering multiple access channel and broadcast channel with a cognitive transmitter

We consider the inter-cluster cognitive behavior of two dissimilar interfering clusters, where the first cluster (i.e. primary cluster) consists of a single multiple access channel (MAC) with two senders and one receiver and the second cluster (i.e. cognitive cluster) is a broadcast channel (BC) which has a single sender and two receivers. The BC is assumed to have cognitive transmitter, who knows the messages transmitted by the other non-cognitive multiple access transmitters, in a non-causal manner. A Gel'fand-Pinsker coding-like technique is used to mitigate inter-cluster interference. An achievable rate region for this model is derived based on the Marton region with common message for the general BC and using a result of Slepian-Wolf rate region for the MAC.