ReviewBiomechanics and modeling in mechanobiology2022
Mathematical models of neuronal growth.
Review in Biomechanics and modeling in mechanobiology, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. An erratum has been issued. Cited by 15 papers.
What it found
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
The trial behind it
Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
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Who cites it
15 citing papers in PubMed.
- In silico models in oncology, neurology, and epidemiology: systems-level and multiscale perspectives.NPJ systems biology and applications · 2026Review
- Feedback-Driven Dynamical Model for Axonal Extension on Parallel Micropatterns.Biomimetics (Basel, Switzerland) · 2025Article
- Stress landscape of folding brain serves as a map for axonal pathfinding.Nature communications · 2025Article
- Exploring the Frontiers of Mathematical Neuroscience: A Comprehensive Bibliometric Analysis.Cureus · 2024Review
- A memristive circuit for self-organized network topology formation based on guided axon growth.Scientific reports · 2024Article
- Approaches to embryonic neurodevelopment: from neural cell to neural tube formation through mathematical models.Briefings in bioinformatics · 2024Article
- A simple active fluid model unites cytokinesis, cell crawling, and axonal outgrowth.bioRxiv : the preprint server for biology · 2024Article
- Nonlinear Growth Dynamics of Neuronal Cells Cultured on Directional Surfaces.Biomimetics (Basel, Switzerland) · 2024Article
- A generative model of the connectome with dynamic axon growth.bioRxiv : the preprint server for biology · 2024Article
- A simple active fluid model unites cytokinesis, cell crawling, and axonal outgrowth.Frontiers in cell and developmental biology · 2024Article
- A generative model of the connectome with dynamic axon growth.Network neuroscience (Cambridge, Mass.) · 2024Article
- Cooperative melting in double-stranded peptide chains through local mechanical interactions.Journal of the Royal Society, Interface · 2023Article
- Biased Random Walk Model of Neuronal Dynamics on Substrates with Periodic Geometrical Patterns.Biomimetics (Basel, Switzerland) · 2023Article
- The role of mechanics in axonal stability and development.Seminars in cell & developmental biology · 2023Review
- Review
Corrections and comments
- Erratum issued
Authors and funding
2 authors.
Funding
Abstract
The establishment of a functioning neuronal network is a crucial step in neural development. During this process, neurons extend neurites-axons and dendrites-to meet other neurons and interconnect. Therefore, these neurites need to migrate, grow, branch and find the correct path to their target by processing sensory cues from their environment. These processes rely on many coupled biophysical effects including elasticity, viscosity, growth, active forces, chemical signaling, adhesion and cellular transport. Mathematical models offer a direct way to test hypotheses and understand the underlying mechanisms responsible for neuron development. Here, we critically review the main models of neurite growth and morphogenesis from a mathematical viewpoint. We present different models for growth, guidance and morphogenesis, with a particular emphasis on mechanics and mechanisms, and on simple mathematical models that can be partially treated analytically.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.