Nonequilibrium bending fluctuations reveal microtubule mechanics in-vivo and their regulation by glutamylation

Cells can be described as active composite materials. The mechanical properties of cells are controlled by complex polymer networks and are dynamically tuned for diverse cellular processes driven by force-generating motor proteins. Microtubules are the most rigid protein polymers in the cytoskeleton, and their material properties have been measured in vitro by active bending or by analyzing thermal bending fluctuations. Microtubule mechanics in living cells are extremely difficult to probe directly, while fluctuations are difficult to interpret because they are generated by active forces in a surrounding cytoplasm with poorly understood material properties. Here we introduce a method to measure the elastic properties of microtubules in living cells by making use of motor-generated forces that drive bending fluctuations. Bending dynamics are governed by three main factors: microtubule material properties, cytoskeletal active forces, and the response characteristics of the surrounding cytoplasm. We show theoretically that, when one factor can be independently determined, the other two can be derived from observed fluctuations. Using this method we discovered that polyglutamylation, a post-translational modification enriched on microtubule arrays that need to withstand large mechanical forces such as those in axons or cilia, increases microtubule stiffness in living cells. Our work provides a theoretical and experimental framework to study microtubule mechanics and their regulation by tubulin modifications and microtubule effectors in complex cellular environments. The approach can be extended to other large aspect ratio cellular structures such as the endoplasmic reticulum or the mitochondrial network. ### Competing Interest Statement The authors have declared no competing interest.