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Animal cells can sense chemical gradients without moving, and are faced withthe challenge of migrating towards a target despite noisy information on thetarget position. Here we discuss optimal search strategies for a chaser thatmoves by switching between two phases of motion ("run" and "tumble"),reorienting itself towards the target during tumble phases, and performing apersistent random walk during run phases. We show that the chaser average runtime can be adjusted to minimize the target catching time or the spatialdispersion of the chasers. We obtain analytical results for the catching timeand for the spatial dispersion in the limits of small and large ratios of runtime to tumble time, and scaling laws for the optimal run times. Our findingshave implications for optimal chemotactic strategies in animal cell migration.

Optimal chemotaxis in animal cell intermittent migration