ArticleBMC neuroscience2006
Mathematical modelling and numerical simulation of the morphological development of neurons.
Article in BMC neuroscience, 2006. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 18 papers.
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Who cites it
18 citing papers in PubMed.
- Calibration of stochastic, agent-based neuron growth models with approximate Bayesian computation.Journal of mathematical biology · 2024Article
- Article
- Modeling neuron growth using isogeometric collocation based phase field method.Scientific reports · 2022Article
- Structural Plasticity of the Hippocampus in Neurodegenerative Diseases.International journal of molecular sciences · 2022Review
- Mathematical models of neuronal growth.Biomechanics and modeling in mechanobiology · 2022Review
- Theoretical Models of Neural Development.iScience · 2018Review
- Simulation of developing human neuronal cell networks.Biomedical engineering online · 2016Article
- Efficient simulations of tubulin-driven axonal growth.Journal of computational neuroscience · 2016Article
- Activation of the neurokinin 3 receptor promotes filopodia growth and sprouting in rat embryonic hypothalamic cells.Developmental neurobiology · 2015Article
- Dendritic spine changes associated with normal aging.Neuroscience · 2013Review
- Curve interpolation model for visualising disjointed neural elements.Neural regeneration research · 2012Article
- Growth dynamics explain the development of spatiotemporal burst activity of young cultured neuronal networks in detail.PloS one · 2012Article
- Using theoretical models to analyse neural development.Nature reviews. Neuroscience · 2011Review
- Modeling of Neuronal Growth In Vitro: Comparison of Simulation Tools NETMORPH and CX3D.EURASIP journal on bioinformatics & systems biology · 2011Article
- Cellular automata and integrodifferential equation models for cell renewal in mosaic tissues.Journal of the Royal Society, Interface · 2010Article
- White matter damage impairs adaptive recovery more than cortical damage in an in silico model of activity-dependent plasticity.Journal of child neurology · 2009Article
- Computational model provides insight into the distinct responses of neurons to chemical and topographical cues.Annals of biomedical engineering · 2009Article
- A physical model of axonal elongation: force, viscosity, and adhesions govern the mode of outgrowth.Biophysical journal · 2008Article
Corrections and comments
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Authors and funding
2 authors.
Funding
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Abstract
backgroundThe morphological development of neurons is a very complex process involving both genetic and environmental components. Mathematical modelling and numerical simulation are valuable tools in helping us unravel particular aspects of how individual neurons grow their characteristic morphologies and eventually form appropriate networks with each other.
methodsA variety of mathematical models that consider (1) neurite initiation (2) neurite elongation (3) axon pathfinding, and (4) neurite branching and dendritic shape formation are reviewed. The different mathematical techniques employed are also described.
resultsSome comparison of modelling results with experimental data is made. A critique of different modelling techniques is given, leading to a proposal for a unified modelling environment for models of neuronal development.
conclusionA unified mathematical and numerical simulation framework should lead to an expansion of work on models of neuronal development, as has occurred with compartmental models of neuronal electrical activity.
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