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We propose a novel distributed and low complexity joint channel and power allocation scheme for the uplink of multi-cellular multi-carrier systems. The algorithm is based on the min-sum message passing (MP) scheme that entails passing messages between the base station (BS) and mobile terminals (MTs) with the aim of achieving a low power consumption resource allocation while respecting rate constraints. MP algorithm is combined with the classical closed loop power control scheme to undertake the effects of multiple access interference. Compared to alternatives, the algorithm rapidly adapts to the channel fluctuations. Besides, it does not require any central controller and distributes the computational load among BSs and MTs, with a significant reduction on the execution time.