Existence and stability of steady states of a reaction convection diffusion equation modeling microtubule formation - Mathematics > Analysis of PDEsReport as inadecuate




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Abstract: We generalize the Dogterom-Leibler model for microtubule dynamics DL to thecase where the rates of elongation as well as the lifetimes of the elongatingand shortening phases are a function of GTP-tubulin concentration. We studyalso the effect of nucleation rate in the form of a damping term which leads tonew steady-states. For this model, we study existence and stability of steadystates satisfying the boundary conditions at x = 0. Our stability analysisintroduces numerical and analytical Evans function computations as a newmathematical tool in the study of microtubule dynamics.



Author: Shantia Yarahmadian, Blake Barker, Kevin Zumbrun, Sidney L. Shaw

Source: https://arxiv.org/



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