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Updated: Jan 23, 2026

Traditional Trail Making Test Modified into Brand-new Assessment Tools: Digital and Walking Trail Making Test
Published on: November 23, 2019
Trail-mediated self-interaction
W Till Kranz1, Ramin Golestanian2
1Institute for Theoretical Physics, Universität zu Köln, Zülpicher Straße 77, 50937 Köln, Germany.
Abstract:
A number of microorganisms leave persistent trails while moving along surfaces. For single-cell organisms, the trail-mediated self-interaction will influence the dynamics. It has been discussed recently [Kranz et al., Phys. Rev. Lett. 117, 038101 (2016)] that the self-interaction may localize the organism above a critical coupling χc to the trail. Here, we will derive a generalized active particle model capturing the key features of the self-interaction and analyze its behavior for smaller couplings χ < χc. We find that fluctuations in propulsion speed shift the localization transition to stronger couplings.
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