Nonlinear competition between asters and stripes in filament-motor systems |
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Authors: | F?Ziebert Email author" target="_blank">W?ZimmermannEmail author |
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Institution: | 1.Theoretische Physik,Universit?t des Saarlandes,Saarbrücken,Germany;2.Theoretische Physik,Universit?t Bayreuth,Bayreuth,Germany |
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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. |
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Keywords: | 87 16 -b Subcellular structure and processes 47 54 +r Pattern selection pattern formation 89 75 -k Complex systems |
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