eLife assessment
This study presents a valuable mathematical model for the adaptive dynamics of cancer evolution in response to immune recognition. The mathematical analysis is rigorous and convincing, and overall the framework presented could be used in the future as a solid base for analytically tracking tumor evasion strategies. However additional discussion is needed to clarify certain gaps between the theory and cancer evolution in real systems. The work will be of interest to evolutionary cancer biologists and potentially it may also have implications for the design of clinical interventions.