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Kinematics of the most efficient cilium
1Department of Mechanical and Aerospace Engineering, University of California San Diego, 9500 Gilman Drive, La Jolla, California 92093-0411, USA. eloy@irphe.univ-mrs.fr
Physical Review Letters
|August 7, 2012
Summary
Researchers numerically determined the most efficient cilium kinematics for fluid transport. Optimal beating patterns minimize energy cost, resembling experimentally observed two-stroke ciliary motion and depending on bending rigidity via the Sperm number.
Area of Science:
- Cell Biology
- Biophysics
- Fluid Dynamics
Background:
- Eukaryotic cells utilize cilia for fluid transport in various biological processes.
- Cilia possess a conserved internal molecular structure but exhibit diverse experimental kinematics.
Purpose of the Study:
- To numerically determine the kinematics and energetics of the most efficient cilium.
- To understand how cilia achieve efficient fluid transport at minimum energetic cost.
Main Methods:
- Computed time-periodic deformation of a wall-bound elastic filament.
- Calculated fluid transport at minimum energetic cost, defined by motor work.
- Investigated the influence of cilium bending rigidity using the Sperm number.
Main Results:
- Identified optimal cilium kinematics for efficient fluid transport.
- Found that optimal kinematics are strongly dependent on bending rigidity (Sperm number).
- Observed that optimal beating patterns closely resemble the experimentally documented two-stroke ciliary beating pattern.
Conclusions:
- The study provides a theoretical framework for understanding efficient ciliary beating.
- Optimal ciliary kinematics are governed by bending rigidity and minimize energy expenditure.
- Numerical findings align with experimental observations of ciliary motion.
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