The Library
Nonlinear dynamics of cilia and flagella
Tools
Tools
Tools
Hilfinger, Andreas, Chattopadhyay, Amit K. and Juelicher, Frank (2009) Nonlinear dynamics of cilia and flagella. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Vol.79 (No.5 Part 1). Article no. 051918. doi:10.1103/PhysRevE.79.051918 ISSN 1539-3755.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://dx.doi.org/10.1103/PhysRevE.79.051918
Abstract
Cilia and flagella are hairlike extensions of eukaryotic cells which generate oscillatory beat patterns that can propel micro-organisms and create fluid flows near cellular surfaces. The evolutionary highly conserved core of cilia and flagella consists of a cylindrical arrangement of nine microtubule doublets, called the axoneme. The axoneme is an actively bending structure whose motility results from the action of dynein motor proteins cross-linking microtubule doublets and generating stresses that induce bending deformations. The periodic beat patterns are the result of a mechanical feedback that leads to self-organized bending waves along the axoneme. Using a theoretical framework to describe planar beating motion, we derive a nonlinear wave equation that describes the fundamental Fourier mode of the axonemal beat. We study the role of nonlinearities and investigate how the amplitude of oscillations increases in the vicinity of an oscillatory instability. We furthermore present numerical solutions of the nonlinear wave equation for different boundary conditions. We find that the nonlinear waves are well approximated by the linearly unstable modes for amplitudes of beat patterns similar to those observed experimentally.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QC Physics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) | ||||
| Publisher: | American Physical Society | ||||
| ISSN: | 1539-3755 | ||||
| Official Date: | May 2009 | ||||
| Dates: |
|
||||
| Volume: | Vol.79 | ||||
| Number: | No.5 Part 1 | ||||
| Number of Pages: | 8 | ||||
| Page Range: | Article no. 051918 | ||||
| DOI: | 10.1103/PhysRevE.79.051918 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Funder: | Marie Curie Foundation of the European Union, Deutscher Akademischer Austauschdienst (DAAD) | ||||
| Grant number: | MIFI-CT-008608 |
Data sourced from Thomson Reuters' Web of Knowledge
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
