Exploring the Unique Propulsion of Human Sperm Through Viscous Fluids
Human sperm possess a remarkable ability to navigate through highly viscous fluids with surprising ease, defying conventional laws of motion in the process. This intriguing phenomenon has captured the interest of scientists, leading to groundbreaking research aimed at unraveling the secrets behind sperm motility in challenging environments.
A few years ago, a team of researchers, led by Kenta Ishimoto, a mathematical scientist at Kyoto University, delved into the intricate movements of sperm and other microscopic biological swimmers. Their goal was to understand how these tiny cells maneuver through substances that would typically impede their progress.
Sir Isaac Newton’s third law of motion, which states that “for every action, there is an equal and opposite reaction,” serves as a foundational principle in classical physics. However, when applied to the complex dynamics of microscopic organisms navigating through sticky fluids, this law falls short in capturing the full complexity of their movements.

The study of non-reciprocal interactions, where organisms exhibit asymmetric responses to their surroundings, sheds light on the unique propulsion mechanisms of biological swimmers like sperm and green algae. These motile agents generate their own energy, disrupting the equilibrium of the system and challenging the traditional laws of motion.
In their research published in October 2023, Ishimoto and his team analyzed the movements of human sperm and modeled the behavior of green algae, Chlamydomonas, both of which utilize flexible flagella to propel themselves through fluid environments. Despite the high viscosity of the fluids, these organisms manage to navigate without significant energy loss.

The researchers identified an “odd elasticity” in sperm tails and algal flagella, allowing these structures to maintain their flexibility and efficiency in propelling the cells forward. Additionally, a novel concept of an odd elastic modulus was proposed to explain the internal mechanics of flagella and their wave-like motion.
By studying the non-local and non-reciprocal interactions within these biological materials, the researchers aimed to unveil the underlying principles governing their propulsion mechanisms. The implications of this research extend beyond understanding sperm motility, with potential applications in designing self-assembling robots inspired by living organisms.
The study, published in PRX Life, marks a significant advancement in our knowledge of microscopic biological swimmers and their unique capabilities in navigating challenging environments.