Mathematically Decoding Nature: Sperm Swimming Linked to Alan Turing’s Pattern Formation Theory

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Researchers have linked Alan Turing's pattern formation theory to the spontaneous movement of sperm tails, revealing potential applications in medicine and robotics. Patterns of chemical interactions are thought to create patterns in nature such as stripes and spots. This new study shows that the

A new study uncovers the mathematical connection between the patterns formed by chemical interactions, as proposed by mathematician Alan Turing, and the movement of sperm tails. This groundbreaking research not only adds depth to our understanding of natural patterns but also hints at potential applications in health and robotics.

Flagellar undulations make stripe patterns in space-time, generating waves that travel along the tail to drive the sperm and microbes forward. “They are critical in health and disease, reproduction, evolution, and survivorship of almost every aquatic microorganism in earth.” “Traveling waves emerge spontaneously even when the flagellum is uninfluenced by the surrounding fluid. This means that the flagellum has a foolproof mechanism to enable swimming in low-viscosity environments, which would otherwise be impossible for aquatic species.“We are grateful to the researchers who made their data freely available, without which we would not have been able to proceed with this mathematical study.

“In 1952, Turing unlocked the reaction-diffusion basis of chemical patterns,” said Dr. Gadêlha. “We show that the ‘’ of motion in the cellular world, the flagellum, uses Turing’s template to shape, instead, patterns of movement driving tail motion that pushes sperm forwards.

 

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