The formation of complex patterns through self-organization is a fundamental process in both biological systems and nanotechnology. Professor Erwin Frey, a physicist at LMU Munich, has delved into the mechanisms behind this phenomenon. In a recent study published in Physical Review X, Frey and his team presented a theoretical model that sheds light on how patterns such as active foams can emerge from the interaction between protein filaments and molecular motors.
Protein filaments like microtubules and molecular motors play key roles in cellular structures, such as the mitotic spindle responsible for cell division. Through experiments conducted by researchers at the University of California, Santa Barbara, it was discovered that the interplay between microtubules and motors can lead to the formation of diverse structures, including aster-like micelles and active foam. The active foam is characterized by microtubule bilayers pointing in opposite directions, forming a network that undergoes constant rearrangements.
Frey’s mathematical model highlights the importance of motors in pattern formation. Without motors, microtubules would lack the organized structure necessary for complex patterns and resemble a disorganized pile. The motors connect microtubules in pairs, aligning them parallel to each other by moving along the filaments. This alignment process is crucial for the formation of structures like foams, where the filaments can be rearranged repeatedly.
The transition from micelles to foams is influenced by the density of microtubules and motors. When the number of components is low, individual micelles can form due to the high degree of particle movement. However, as the number of components increases, band-like layers emerge, eventually leading to the formation of more complex structures like foams. These foams exhibit an ordered structure with a mixture of pentagons, hexagons, and heptagons, similar to honeycombs but with the added ability to rearrange themselves continuously.
Frey’s theoretical model has broader implications beyond the study of microtubules and molecular motors. It provides insights into the behavior of all types of filaments and motors, offering a new perspective on active matter. Additionally, this research could pave the way for advancements in bionanotechnological applications in the future, opening up new possibilities for harnessing self-organization processes in various fields of science and technology.
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