Nonlinear competition between asters and stripes in filament-motor-systems
arXiv:cond-mat/0502236 · doi:10.1140/epje/i2005-10029-3
Abstract
A model for polar filaments interacting via molecular motor complexes is investigated which exhibits bifurcations to spatial patterns. It is shown that the homogeneous distribution of filaments, such as actin or microtubules, may become either unstable with respect to an orientational instability of a finite wave number or with respect to modulations of the filament density, where long wavelength modes are amplified as well. Above threshold nonlinear interactions select either stripe patterns or periodic asters. The existence and stability ranges of each pattern close to threshold are predicted in terms of a weakly nonlinear perturbation analysis, which is confirmed by numerical simulations of the basic model equations. The two relevant parameters determining the bifurcation scenario of the model can be related to the concentrations of the active molecular motors and of the filaments respectively, which both could be easily regulated by the cell.
13 pages, 7 figures
References in corpus (9)
- Generic theory of active polar gels: a paradigm for cytoskeletal dynamics
- Organization and instabilities of entangled active polar filaments
- Actively Contracting Bundles of Polar Filaments
- Dynamic Phase Transitions in Cell Spreading
- Dynamic concentration of motors in microtubule arrays
- Macroscopic equations for pattern formation in mixtures of microtubules and motors
- Bridging the microscopic and the hydrodynamic in active filament solutions
- Pattern formation driven by nematic ordering of assembling biopolymers
- A Model for the Self-Organization of Microtubules Driven by Molecular Motors
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