Sevier, Stuart A.Levine, Herbert2016-06-102016-06-102015Sevier, Stuart A. and Levine, Herbert. "Properties of cooperatively induced phases in sensing models." <i>Physical Review E,</i> 91, no. 5 (2015) American Physical Society: 052707. http://dx.doi.org/10.1103/PhysRevE.91.052707.https://hdl.handle.net/1911/90492A large number of eukaryotic cells are able to directly detect external chemical gradients with great accuracy and the ultimate limit to their sensitivity has been a topic of debate for many years. Previous work has been done to understand many aspects of this process but little attention has been paid to the possibility of emergent sensing states. Here we examine how cooperation between sensors existing in a two-dimensional network, as they do on the cell's surface, can both enhance and fundamentally alter the response of the cell to a spatially varying signal. We show that weakly interacting sensors linearly amplify the cell's response to an external gradient while a network of strongly interacting sensors form a collective nonlinear response with two separate domains of active and inactive sensors forming what have called a “1/2-state.” In our analysis we examine the cell's ability to sense the direction of a signal and pay special attention to the substantially different behavior realized in the strongly interacting regime.engArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.Journal articlehttp://dx.doi.org/10.1103/PhysRevE.91.052707