Steering chiral swimmers along noisy helical paths

Physics – Biological Physics

Scientific paper

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8 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.103.068102

Chemotaxis along helical paths towards a target releasing a chemoattractant is found in sperm cells and many microorganisms. We discuss the stochastic differential geometry of the noisy helical swimming path of a chiral swimmer. A chiral swimmer equipped with a simple feedback system can navigate in a concentration gradient of chemoattractant. We derive an effective equation for the alignment of helical paths with a concentration gradient which is related to the alignment of a dipole in an external field. We discuss the chemotaxis index in the presence of fluctuations.

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