ArticleGenetics2015
Positional information, positional error, and readout precision in morphogenesis: a mathematical framework.
Article in Genetics, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 42 papers.
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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.
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Who cites it
42 citing papers in PubMed.
- Decoding the origins of cellular self-organization for engineered biology.Nature biotechnology · 2026Review
- Neighborhood-informed positional information for precise cell identity specification.Molecular systems biology · 2026Article
- Interpretable decoding of cell fate from a snapshot of combinatorial signaling.bioRxiv : the preprint server for biology · 2026Article
- Optimization and variability can coexist.ArXiv · 2025Article
- Deriving a genetic regulatory network from an optimization principle.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Transcription factor clusters as information transfer agents.Science advances · 2025Article
- Scale invariance in early embryonic development.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Article
- Information content and optimization of self-organized developmental systems.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Precise and scalable self-organization in mammalian pseudo-embryos.Nature structural & molecular biology · 2024Article
- Scale invariance in early embryonic development.ArXiv · 2023Article
- An archetype and scaling of developmental tissue dynamics across species.Nature communications · 2023Article
- Functional analysis of the Drosophila eve locus in response to non-canonical combinations of gap gene expression levels.Developmental cell · 2023Article
- Article
- Embodied cognitive morphogenesis as a route to intelligent systems.Interface focus · 2023Article
- Early radial positional information in the cochlea is optimized by a precise linear BMP gradient and enhanced by SOX2.Scientific reports · 2023Article
- The impact of cell size on morphogen gradient precision.Development (Cambridge, England) · 2023Article
- Article
- Ecological drivers of division of labour in Streptomyces.Current opinion in microbiology · 2022Review
- Synthetic cell-based materials extract positional information from morphogen gradients.Science advances · 2022Article
Corrections and comments
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Authors and funding
4 authors.
Funding
Abstract
The concept of positional information is central to our understanding of how cells determine their location in a multicellular structure and thereby their developmental fates. Nevertheless, positional information has neither been defined mathematically nor quantified in a principled way. Here we provide an information-theoretic definition in the context of developmental gene expression patterns and examine the features of expression patterns that affect positional information quantitatively. We connect positional information with the concept of positional error and develop tools to directly measure information and error from experimental data. We illustrate our framework for the case of gap gene expression patterns in the early Drosophila embryo and show how information that is distributed among only four genes is sufficient to determine developmental fates with nearly single-cell resolution. Our approach can be generalized to a variety of different model systems; procedures and examples are discussed in detail.
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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.