In this paper, the idea of Feynman's path integral is introduced inside the framework of nano biological systems such as bacteria population where due to their property of chemotaxis, a stochastic modeling might be drawn to describe their mobility due essentially to electrical interactions among them as a recurrent resource to protect themselves against antibacterial agents. Due to composition of ions exists there a net charge along the internal and external phospholipid membrane of bacteria. The idea of the path's integral assumes a spacetime pathway where the space-time bacteria displacements are governed by physics interactions that gives rise to changes of position in the space-time plane in a fully accordance to biological and physics laws.