Efficient simulations of tubulin-driven axonal growth

DOI10.1007/S10827-016-0604-XzbMath1382.92048DBLPjournals/jcns/DiehlHH16arXiv1602.00444OpenAlexW2254429199WikidataQ50657807 ScholiaQ50657807MaRDI QIDQ1705029

Anders Heyden, Stefan Diehl, Erik Henningsson

Publication date: 14 March 2018

Published in: Journal of Computational Neuroscience (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.00444

zbMATH Keywords

polymerizationpartial differential equationnumerical simulationmicrotubule cytoskeletonneurite elongationPeaceman-Rachford splitting scheme

Mathematics Subject Classification ID

Neural biology (92C20) Biochemistry, molecular biology (92C40)

Cites Work

• Unnamed Item
• A one-dimensional moving-boundary model for tubulin-driven axonal growth
• Dynamics of outgrowth in a continuum model of neurite elongation
• A Convergence Analysis of the Peaceman--Rachford Scheme for Semilinear Evolution Equations
• A Model of the Spatially Dependent Mechanical Properties of the Axon During Its Growth
• Mathematical formulation and analysis of a continuum model for tubulin-driven neurite elongation
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• On the Numerical Integration of $\frac{\partial ^2 u}{\partial x^2 } + \frac{\partial ^2 u}{\partial y^2 } = \frac{\partial u}{\partial t}$ by Implicit Methods
• Stability in a mathematical model of neurite elongation

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