“…This recruitment of immune cells is often based on endogenous chemo-attractants, which are released by other host cells that are already at the location where a pathogen has invaded the body. However, the fact that individual immune cells are able to find and eliminate tumor cells in a Petri dish 2,3 , without any assistance, suggests that immune cells can detect chemical traces emitted by the pathogens themselves. We therefore investigate in this work how efficient a self-propelled agent (such as an immune cell) can hypothetically become in finding and elliminating randomly distributed, mobile targets (such as tumor cells), a problem that is related to the more general topics of pursuit and evasion 4 , to foraging theory 5,6 , to the behavioral ecology of finding resources 7 , and even to robotic control theory 8 .…”