Controlling cell migration is important in tissue engineering and medicine. Cell motility depends on factors such as nutrient concentration gradients and soluble factor signaling. In particular, cell-cell signaling can depend on cell-cell separation distance and can influence cellular arrangements in bulk cultures. Here, we seek a physicalbased approach, which identifies a potential governed by cell-cell signaling that induces a directed cell-cell motion. A single-cell barcode chip (SCBC) was used to experimentally interrogate secreted proteins in hundreds of isolated glioblastoma brain cancer cell pairs and to monitor their relative motions over time. We used these trajectories to identify a range of cell-cell separation distances where the signaling was most stable. We then used a thermodynamicsmotivated analysis of secreted protein levels to characterize freeenergy changes for different cell-cell distances. We show that glioblastoma cell-cell movement can be described as Brownian motion biased by cell-cell potential. To demonstrate that the free-energy potential as determined by the signaling is the driver of motion, we inhibited two proteins most involved in maintaining the free-energy gradient. Following inhibition, cell pairs showed an essentially random Brownian motion, similar to the case for untreated, isolated single cells. Other examples include chemotaxis (2-4) and active transport (1), both of which show that overcoming a concentration gradient requires work in the sense of expenditure of free energy. In this study, we aim to show that the thermodynamic analog of the free energy of an intercellular signaling system, mediated by secreted proteins, acts to determine the direction of change in cell-cell movement. Secreted proteins are a vehicle for cell-cell communication and signaling (5) and, once received by a cell, can initiate intracellular signaling cascades, resulting in changes in gene transcription, protein expression, and the activation of cellular functions. Such functions might include cell division, the secretion of a new group of proteins, or, as investigated here, cell motility (1).Our experiment is a system of two interacting but otherwise isolated cells for which we measure both cell motion trajectories over a period of several hours and, at the terminal time point, the expression levels of a panel of secreted proteins. The experimental platform is the single-cell barcode chip (SCBC), which permits measurements of statistically significant numbers of cells (6-9).Our information-theoretic analysis (10) of the experimental data regards the signaling proteins as species mediating the exchange of information between cells. This analysis is used to determine the changes with distance of the free energy of the cell-cell signaling and to show that the cell-cell relative motion can be described as a constrained Brownian motion. We show that the direction of change in cell movement is toward a more stable cellular arrangement where cell-cell signaling is balanced. Inhibiting that signaling resu...