Curvature sensing as an emergent property of multi-scale assembly of septins*

The ability of cells to sense and communicate their shape is central to many of their functions. Much is known about how cells generate complex shapes, yet how they sense and respond to geometric cues remains poorly understood. Septins are GTP-binding proteins that localize to sites of micron-scale membrane curvature. Assembly of septins is a multi-step and multi-scale process but it is unknown how these discrete steps lead to curvature sensing. Here we experimentally examine the time-dependent binding of septins at different curvatures and septin bulk concentrations. These experiments unexpectedly indicated that septins' curvature preference is not absolute but rather sensitive to the combinations of membrane curvatures present in a reaction, suggesting there is competition between different curvatures for septin binding. To understand the physical underpinning of this result, we developed a kinetic model that connects septins’ self-assembly and curvature sensing properties. Our experimental and modeling results are consistent with curvature-sensitive assembly being driven by cooperative associations of septin oligomers in solution with the bound septins. When combined, the work indicates septin curvature sensing is an emergent property of the multi-step, multi-scale assembly of membrane-bound septins. As a result, curvature preference is not absolute and can be modulated by changing the physicochemical and geometric parameters involved in septin assembly, including bulk concentration, and the available membrane curvatures. While much geometry-sensitive assembly in biology is thought to be guided by intrinsic material properties of molecules, this is an important example of how curvature sensing can arise from the multi-scale assembly of polymers.