Three-dimensional mechanics of eukaryotic flagella

Area of Science:

• Biophysics
• Cell Biology
• Mechanobiology

Background:

• Cilia and flagella are crucial for cellular motility.
• Understanding their 3D motion requires detailed biomechanical models.

Purpose of the Study:

• To develop equations for cilia and flagella motion based on internal structure.
• To investigate the contribution of internal structures to 3D motility.
• To analyze the generation of twist in axonemes.

Main Methods:

• Derivation of equations for a sliding filament model.
• Calculation of bending and twisting resistances.
• Computer simulations of flagellar shape under external forces.

Main Results:

• Axoneme bending properties can be described by linear elastic resistance.
• Internal structures alone do not produce twist; planar bending occurs without external force.
• External forces can induce significant twisting, particularly with shear-resistant links.

Conclusions:

• The sliding filament model provides insights into 3D cilia and flagella dynamics.
• Axoneme twist is primarily driven by external forces and internal shear resistance.
• Bending and twisting resistances are quantifiable parameters for motile systems.