Active Brownian particles in an obstacle lattice with a density gradient migrate toward lower obstacle density because obstacles shorten their persistence length, producing a drift toward regions of longer persistence.
Chemo- taxis and topotaxis add vectorially for amoeboid cell mi- gration,
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Topotaxis of active Brownian particles
Active Brownian particles in an obstacle lattice with a density gradient migrate toward lower obstacle density because obstacles shorten their persistence length, producing a drift toward regions of longer persistence.