Before revision:  This is the chemotactic basis for the  Local Excitation, Global Inhibition (LEGI) model. A generalization of the model for the communication component of the LEGI model is proposed. Doing so permits us to study in detail how gradient sensing changes as a function of the structure of the communication term.
After revision:  This is the chemotactic basis for the Local Excitation, Global Inhibition (LEGI) principle, wherein the strength of the external chemical field is sensed through a comparison between a local exciting species and a global inhibitor that is shared via intra-cellular reactions in the cell chain. In this study we generalize the nearest neighbor communication mechanism in the above-mentioned LEGI model in order to explore how the chemical sensing characteristics depend on the parameterization of the communication term.