Berlin 2015 – wissenschaftliches Programm
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BP: Fachverband Biologische Physik
BP 36: Cell adhesion, mechanics and migration II
BP 36.4: Vortrag
Mittwoch, 18. März 2015, 15:45–16:00, H 1058
Catching a target with directed run and tumble motion — •Pawel Romanczuk1 and Guillaume Salbreux2 — 1Dept. of Ecology and Evolutionary Biology, Princeton University, NJ 08544 — 2Max Planck Institute for the Physics of Complex Systems, 01187 Dresden
During Zebrafish development progenitor cells are required to arrive with high temporal and spatial precision at specific targets sites. On the one hand this directed migration is associated with the presence of chemical cues, and on the other hand it was reported to consist of phases of persistent motion (“runs”) interrupted by reorientation events associated with cell repolarization (“tumbles”) [1]. Here we consider a minimal model of chaser particles undergoing directed migration towards a target with noisy information on the target position, e.g. due to chemotactic sensing. The chaser 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 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. Finally, we discuss the possibility of an optimal chemotactic strategy in animal cell migration by analyzing in-vivo experiments together with simulation of a more detailed stochastic model fitted to experimental data.
[1] M. Reichman-Fried et al., Developmental Cell 6, 589 (2004)