Optimal chemotaxis in animal cell intermittent migration

TL;DR

This paper investigates optimal chemotactic search strategies in animal cells that alternate between run and tumble phases, providing analytical insights into minimizing target capture time and dispersion.

Contribution

It introduces a model of intermittent migration with optimized run and tumble durations, offering analytical results and scaling laws for efficient chemotaxis.

Findings

Optimal run time minimizes target catching time.

Analytical expressions for catching time and dispersion.

Scaling laws for run time optimization.

Abstract

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