ArticleProceedings of the National Academy of Sciences of the United States of America2015
Parameter-free methods distinguish Wnt pathway models and guide design of experiments.
Article in Proceedings of the National Academy of Sciences of the United States of America, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 19 papers.
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Who cites it
19 citing papers in PubMed.
- A multiscale, Bayesian inference approach to augment mechanistic models of cell signaling with machine-learning predictions of binding affinity.PLoS computational biology · 2026Article
- The Role of Fibroblast-Epithelial Cross-Talk on the Distribution of Distinct Fibroblast Phenotypes in the Intestinal Crypt.Bulletin of mathematical biology · 2026Article
- Article
- Julia for biologists.Nature methods · 2023Review
- Algebra, Geometry and Topology of ERK Kinetics.Bulletin of mathematical biology · 2022Article
- Relating simulation studies by provenance-Developing a family of Wnt signaling models.PLoS computational biology · 2021Article
- Joining and decomposing reaction networks.Journal of mathematical biology · 2020Article
- Modelling the effect of subcellular mutations on the migration of cells in the colorectal crypt.BMC bioinformatics · 2020Article
- Cross-talk between Hippo and Wnt signalling pathways in intestinal crypts: Insights from an agent-based model.Computational and structural biotechnology journal · 2020Article
- Dynamically characterizing individual clinical change by the steady state of disease-associated pathway.BMC bioinformatics · 2019Article
- Src- and confinement-dependent FAK activation causes E-cadherin relaxation and β-catenin activity.The Journal of cell biology · 2018Article
- Hilbert-Schmidt and Sobol sensitivity indices for static and time series Wnt signaling measurements in colorectal cancer - part A.BMC systems biology · 2017Article
- Paracrine and autocrine regulation of gene expression by Wnt-inhibitor Dickkopf in wild-type and mutant hepatocytes.BMC systems biology · 2017Article
- A Theoretical Model of the Wnt Signaling Pathway in the Epithelial Mesenchymal Transition.Theoretical biology & medical modelling · 2017Article
- Chemical Reaction Network Theory elucidates sources of multistability in interferon signaling.PLoS computational biology · 2017Article
- Intermediates, catalysts, persistence, and boundary steady states.Journal of mathematical biology · 2017Article
- The role of the Hes1 crosstalk hub in Notch-Wnt interactions of the intestinal crypt.PLoS computational biology · 2017Article
- Numerical algebraic geometry for model selection and its application to the life sciences.Journal of the Royal Society, Interface · 2016Article
- Cellular population dynamics control the robustness of the stem cell niche.Biology open · 2015Article
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4 authors.
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No grant is acknowledged in the PubMed record.
Abstract
The canonical Wnt signaling pathway, mediated by β-catenin, is crucially involved in development, adult stem cell tissue maintenance, and a host of diseases including cancer. We analyze existing mathematical models of Wnt and compare them to a new Wnt signaling model that targets spatial localization; our aim is to distinguish between the models and distill biological insight from them. Using Bayesian methods we infer parameters for each model from mammalian Wnt signaling data and find that all models can fit this time course. We appeal to algebraic methods (concepts from chemical reaction network theory and matroid theory) to analyze the models without recourse to specific parameter values. These approaches provide insight into aspects of Wnt regulation: the new model, via control of shuttling and degradation parameters, permits multiple stable steady states corresponding to stem-like vs. committed cell states in the differentiation hierarchy. Our analysis also identifies groups of variables that should be measured to fully characterize and discriminate between competing models, and thus serves as a guide for performing minimal experiments for model comparison.
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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.