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WBSNs (wireless body sensor network) like any other sensor networks suffers limited energy and are the highly distributed network, in which its nodes are the organizer itself and each of them has the flexibility of collecting and transmitting patient biomedical information to a sink. When knowledge sent to sink from a path that doesn't have a definite basis, the routing is a crucial challenge in Wireless Body Area Sensor Networks, additionally reliability and routing delay are the considerable factors in these type of networks. Most of the attention should be given to the energy routing where energy awareness is an essential consideration in WBSNs and the frequent topology change increases the dynamics of network topology, and complicates the process of relay selection in cooperative communications. In this paper, we propose a Min-Max multi-commodity flow model for WBSNs which allows to prevent sensor node saturation and take best action against reliability and the path loss, by imposing an equilibrium use of sensors during the routing process. Simulation results show that the algorithm balances the energy consumption of nodes effectively and maximize the network lifetime. It will meet the enhanced WBSNs requirements, including better delivery ratio, less reliable routing overhead.