ArticleProceedings of the National Academy of Sciences of the United States of America2009
Bayesian model predicts the response of axons to molecular gradients.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2009. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 45 papers.
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Who cites it
45 citing papers in PubMed.
- Article
- Serotonin functions as a bidirectional guidance molecule regulating growth cone motility.Cellular and molecular life sciences : CMLS · 2021Article
- Promoting Cell Migration and Neurite Extension along Uniaxially Aligned Nanofibers with Biomacromolecular Particles in a Density Gradient.Advanced functional materials · 2020Article
- A Subtle Network Mediating Axon Guidance: Intrinsic Dynamic Structure of Growth Cone, Attractive and Repulsive Molecular Cues, and the Intermediate Role of Signaling Pathways.Neural plasticity · 2019Review
- Chemotaxis Model for Breast Cancer Cells Based on Signal/Noise Ratio.Biophysical journal · 2018Article
- High-throughput three-dimensional chemotactic assays reveal steepness-dependent complexity in neuronal sensation to molecular gradients.Nature communications · 2018Article
- Theoretical Models of Neural Development.iScience · 2018Review
- Stem cell colony interspacing effect on differentiation to neural cells.Journal of tissue engineering and regenerative medicine · 2018Article
- Chemotactic responses of growing neurites to precisely controlled gradients of nerve growth factor.Scientific data · 2018Article
- Control of neurite growth and guidance by an inhibitory cell-body signal.PLoS computational biology · 2018Article
- Axon growth regulation by a bistable molecular switch.Proceedings. Biological sciences · 2018Article
- Computational Methods for Estimating Molecular System from Membrane Potential Recordings in Nerve Growth Cone.Scientific reports · 2018Article
- Numerical characterization of regenerative axons growing along a spherical multifunctional scaffold after spinal cord injury.PloS one · 2018Article
- Model for Coordination of Microtubule and Actin Dynamics in Growth Cone Turning.Frontiers in cellular neuroscience · 2018Article
- Large-scale microfluidic gradient arrays reveal axon guidance behaviors in hippocampal neurons.Microsystems & nanoengineering · 2017Article
- Multi-phasic bi-directional chemotactic responses of the growth cone.Scientific reports · 2016Article
- Article
- A Mathematical Model of Regenerative Axon Growing along Glial Scar after Spinal Cord Injury.Computational and mathematical methods in medicine · 2016Article
- The E3 Ubiquitin Ligase TRIM9 Is a Filopodia Off Switch Required for Netrin-Dependent Axon Guidance.Developmental cell · 2015Article
- The limits of chemosensation vary across dimensions.Nature communications · 2015Article
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10 authors.
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No grant is acknowledged in the PubMed record.
Abstract
Axon guidance by molecular gradients plays a crucial role in wiring up the nervous system. However, the mechanisms axons use to detect gradients are largely unknown. We first develop a Bayesian "ideal observer" analysis of gradient detection by axons, based on the hypothesis that a principal constraint on gradient detection is intrinsic receptor binding noise. Second, from this model, we derive an equation predicting how the degree of response of an axon to a gradient should vary with gradient steepness and absolute concentration. Third, we confirm this prediction quantitatively by performing the first systematic experimental analysis of how axonal response varies with both these quantities. These experiments demonstrate a degree of sensitivity much higher than previously reported for any chemotacting system. Together, these results reveal both the quantitative constraints that must be satisfied for effective axonal guidance and the computational principles that may be used by the underlying signal transduction pathways, and allow predictions for the degree of response of axons to gradients in a wide variety of in vivo and in vitro settings.
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