ArticleBiophysical journal2015
Model of Growth Cone Membrane Polarization via Microtubule Length Regulation.
Article in Biophysical journal, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed, 7 citations in OpenAlex.
- Theoretical Models of Neural Development.iScience · 2018Review
- Model for Coordination of Microtubule and Actin Dynamics in Growth Cone Turning.Frontiers in cellular neuroscience · 2018Article
- Expression of Rho GTPases family in melanoma cells and its influence on cytoskeleton and migration.Oncotarget · 2017Article
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Authors and funding
2 authors at 1 institution in 1 country.
Funding
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Abstract
We present a mathematical model of membrane polarization in growth cones. We proceed by coupling an active transport model of cytosolic proteins along a two-dimensional microtubule (MT) network with a modified Dogterom-Leibler model of MT growth. In particular, we consider a Rac1-stathmin-MT pathway in which the growth and catastrophe rates of MTs are regulated by cytosolic stathmin, while the stathmin is regulated by Rac1 at the membrane. We use regular perturbation theory and numerical simulations to determine the steady-state stathmin concentration, the mean MT length distribution, and the resulting distribution of membrane-bound proteins. We thus show how a nonuniform Rac1 distribution on the membrane generates a polarized distribution of membrane proteins. The mean MT length distribution and hence the degree of membrane polarization are sensitive to the precise form of the Rac1 distribution and parameters such as the catastrophe-promoting constant and tubulin association rate. This is a consequence of the fact that the lateral diffusion of stathmin tends to weaken the effects of Rac1 on the distribution of mean MT lengths.
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