One of the most important properties of a vehicle, be it a car, a plane or a ship, is its fuel consumption to cover a certain distance at a certain speed.

In the microscopic world, there are small objects that can self-propel themselves in a fluid environment. These so-called microswimmers include bacteria and other microorganisms, using cilia or flagella to move, but also artificially fabricated objects.

Whereas biological microbes have evolved to swim efficiently, understanding the mechanisms behind self-propulsion is required to also design efficient artificial microswimmers.


Charles Darwin Signature T-shirt – “I think.” Two words that changed science and the world, scribbled tantalizingly in Darwin’s Transmutation Notebooks.

Whereas many models so far treated microswimmers as if they were pulled or dragged along by an external force, the new model focuses on the energy required for self-propulsion of the microswimmer.

โ€œMany optimization problems that needed the use of computers in the past can now be solved with pen and paperโ€, describes Andrej Vilfan, group leader at MPI-DS. The results also can be used to determine the most efficient shape of active microswimmers.

โ€œWhereas at first glance the resulting shapes might look surprising to us, a closer look shows that they actually bear striking similarities with the shapes found in natureโ€, explains Vilfan.

The newly proposed model elucidates the difference in entropy production between active microswimmers and externally driven particles. On the microscopic scale, entropic effects play a crucial role for particle movement.

โ€œOur results thus have impact on several research fields, such as microfluidics, biophysics and material scienceโ€, summarizes Abdallah Daddi-Moussa-Ider, first author of the study. Microswimmers have the potential to transport particles and molecules such as medical drugs in a directed manner to a target area.

โ€œA profound understanding of the principles of movement of the microswimmers thus opens many possibilities for innovation and practical applicationsโ€, Daddi-Moussa-Ider concludes.

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