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Effects of aging in catastrophe on the steady state and dynamics of a microtubule population
Published in American Physical Society
2015
Volume: 91
   
Issue: 5
Abstract
Several independent observations have suggested that the catastrophe transition in microtubules is not a first-order process, as is usually assumed. Recent in vitro observations by Gardner et al. [M. K. Gardner, Cell 147, 1092 (2011)CELLB50092-867410.1016/j.cell.2011.10.037] showed that microtubule catastrophe takes place via multiple steps and the frequency increases with the age of the filament. Here we investigate, via numerical simulations and mathematical calculations, some of the consequences of the age dependence of catastrophe on the dynamics of microtubules as a function of the aging rate, for two different models of aging: exponential growth, but saturating asymptotically, and purely linear growth. The boundary demarcating the steady-state and non-steady-state regimes in the dynamics is derived analytically in both cases. Numerical simulations, supported by analytical calculations in the linear model, show that aging leads to nonexponential length distributions in steady state. More importantly, oscillations ensue in microtubule length and velocity. The regularity of oscillations, as characterized by the negative dip in the autocorrelation function, is reduced by increasing the frequency of rescue events. Our study shows that the age dependence of catastrophe could function as an intrinsic mechanism to generate oscillatory dynamics in a microtubule population, distinct from hitherto identified ones. © 2015 American Physical Society.
About the journal
JournalData powered by TypesetPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
PublisherData powered by TypesetAmerican Physical Society
Open AccessNo
Concepts (13)
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    Autocorrelation
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    Dynamics
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    Functions
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    Numerical models
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    Analytical calculation
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    Autocorrelation functions
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    Exponential growth
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    FIRST-ORDER PROCESS
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    Intrinsic mechanisms
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    Length distributions
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    MATHEMATICAL CALCULATIONS
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    OSCILLATORY DYNAMICS
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    Disasters