How cells with different genetic makeups compete in tissues is an outstanding question in developmental biology and cancer research. Studies in recent years have revealed two fundamental mechanisms of cell competition, driven by short-range biochemical signalling or by long-range mechanical stresses within the tissue. In both scenarios, the outcome of cell competition has generally been characterised using population-scale metrics. However, the underlying strategies for competitive interactions at the single-cell level remain elusive.Here, we develop a cell-based computational model for competition assays informed by highthroughput timelapse imaging experiments. By integrating physical cell interactions with cellular automata rules for proliferation and apoptosis, we find that the emergent modes of cell competition are determined by a trade-off between entropic and energetic properties of the mixed tissue. While biochemical competition is strongly sensitive to local tissue organisation, mechanical competition is largely driven by the difference in homeostatic pressures of the two competing cell types. These findings suggest that competitive cell interactions arise when the local tissue free energy is high, and proceed until free energy is minimised.
RESULTS
Cell-based model for competition.Our cell-based model for competition consists of two distinct computational layers that simulate:(i) mechanical interactions between cells and the underlying substrate, and (ii) a cellular automaton that makes decisions for cell growth, mitosis and apoptosis ( Figure 1A). Physical interactions at the cell-cell and cell-substrate interfaces are simulated using the Cellular Potts Model [21] (Methods).This implementation was preferred to the less computationally costly vertex model [22], because we calibrate our model to our in vitro competition experiments [15] that start from a sub-confluent state. In the Potts model, each cell type is assigned a value of adhesion energy with other cells and the substrate, as well as a preferred (target) area, A T , and a compressibility modulus, λ. While the balance of forces between adhesion and elasticity determines equilibrium cell shapes, changes in cell size during growth, division and apoptosis are controlled by a second computational layer comprising cell automata rules. It is in this layer that cellular decision-making is implemented at