ArticleJournal of computational neuroscience2006
Dynamics of outgrowth in a continuum model of neurite elongation.
Article in Journal of computational neuroscience, 2006. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 11 papers.
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Who cites it
11 citing papers in PubMed, 34 citations in OpenAlex.
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- A self-organizing single-cell morphology circuit optimizesbioRxiv : the preprint server for biology · 2025Article
- Calibration of stochastic, agent-based neuron growth models with approximate Bayesian computation.Journal of mathematical biology · 2024Article
- Modeling neuron growth using isogeometric collocation based phase field method.Scientific reports · 2022Article
- Mathematical models of neuronal growth.Biomechanics and modeling in mechanobiology · 2022Review
- A computational model of bidirectional axonal growth in micro-tissue engineered neuronal networks (micro-TENNs).In silico biology · 2020Article
- Theoretical Models of Neural Development.iScience · 2018Review
- Efficient simulations of tubulin-driven axonal growth.Journal of computational neuroscience · 2016Article
- The stochastic search dynamics of interneuron migration.Biophysical journal · 2009Article
- Quantifying neurite growth mediated by interactions among secretory vesicles, microtubules, and actin networks.Biophysical journal · 2009Article
- Mathematical modelling and numerical simulation of the morphological development of neurons.BMC neuroscience · 2006Article
Corrections and comments
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Authors and funding
3 authors at 1 institution in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Neurite outgrowth (dendrites and axons) should be a stable, but easily regulated process to enable a neuron to make its appropriate network connections during development. We explore the dynamics of outgrowth in a mathematical continuum model of neurite elongation. The model describes the construction of the internal microtubule cytoskeleton, which results from the production and transport of tubulin dimers and their assembly into microtubules at the growing neurite tip. Tubulin is assumed to be largely synthesised in the cell body from where it is transported by active mechanisms and by diffusion along the neurite. It is argued that this construction process is a fundamental limiting factor in neurite elongation. In the model, elongation is highly stable when tubulin transport is dominated by either active transport or diffusion, but oscillations in length may occur when both active transport and diffusion contribute. Autoregulation of tubulin production can eliminate these oscillations. In all cases a stable steady-state length is reached, provided there is intrinsic decay of tubulin. Small changes in growth parameters, such as the tubulin production rate, can lead to large changes in length. Thus cytoskeleton construction can be both stable and easily regulated, as seems necessary for neurite outgrowth during nervous system development.
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