How bio-filaments twist membranes.

Area of Science:

• Biophysics
• Soft Matter Physics
• Cellular Mechanics

Background:

• Fluid membranes are crucial cellular structures.
• Bio-filaments interact with membranes, influencing their shape.
• Understanding these interactions is key to cellular processes.

Purpose of the Study:

• To develop a theoretical framework for membrane deformations caused by bio-filament torques.
• To derive general expressions for membrane energy and deformation fields.
• To analyze specific cases like helical filaments and membrane wrapping.

Main Methods:

• Derivation of a general expression for membrane energy in the small deformation limit.
• Mathematical modeling of torque-induced deformations.
• Analysis of localized torque distributions on tubular membranes.

Main Results:

• A general formula for fluid membrane energy and deformation under bio-filament torques was derived.
• The model successfully describes deformations for closed and helical bio-filaments.
• Interface-mediated interactions and membrane wrapping phenomena were analyzed.

Conclusions:

• The derived expressions provide a quantitative understanding of bio-filament-induced membrane deformations.
• This work offers insights into the mechanics of membrane remodeling and cellular organization.
• The findings are applicable to various biological processes involving membrane-cytoskeleton interactions.