ArticlePLoS computational biology2007
Bistability and oscillations in the Huang-Ferrell model of MAPK signaling.
Article in PLoS computational biology, 2007. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 86 papers.
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Who cites it
86 citing papers in PubMed.
- Systems Biology of the Cancer Cell.Annual review of biomedical engineering · 2025Review
- Mathematical Modeling and Inference of Epidermal Growth Factor-Induced Mitogen-Activated Protein Kinase Cell Signaling Pathways.International journal of molecular sciences · 2024Review
- Transient frequency preference responses in cell signaling systems.NPJ systems biology and applications · 2024Article
- Kullback-Leibler Divergence of an Open-Queuing Network of a Cell-Signal-Transduction Cascade.Entropy (Basel, Switzerland) · 2023Article
- A nested bistable module within a negative feedback loop ensures different types of oscillations in signaling systems.Scientific reports · 2023Article
- Algebra, Geometry and Topology of ERK Kinetics.Bulletin of mathematical biology · 2022Article
- Modeling ATP-mediated endothelial cell elongation on line patterns.Biomechanics and modeling in mechanobiology · 2022Article
- Nonmodular oscillator and switch based on RNA decay drive regeneration of multimodal gene expression.Nucleic acids research · 2022Article
- Autoregulation of switching behavior by cellular compartment size.Proceedings of the National Academy of Sciences of the United States of America · 2022Article
- Live imaging approach of dynamic multicellular responses in ERK signaling during vertebrate tissue development.The Biochemical journal · 2022Review
- The partition representation of enzymatic reaction networks and its application for searching bi-stable reaction systems.PloS one · 2022Article
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- A systematic analysis of signaling reactivation and drug resistance.Cell reports · 2021Article
- Autocatalytic and oscillatory reaction networks that form guanidines and products of their cyclization.Nature communications · 2021Article
- Article
- The interplay of spatial organization and biochemistry in building blocks of cellular signalling pathways.Journal of the Royal Society, Interface · 2020Article
- Detection of biological switches using the method of Gröebner bases.BMC bioinformatics · 2019Article
- Genetically Encoded Fluorescent Biosensors Illuminate the Spatiotemporal Regulation of Signaling Networks.Chemical reviews · 2018Review
- Emergent memory in cell signaling: Persistent adaptive dynamics in cascades can arise from the diversity of relaxation time-scales.Scientific reports · 2018Article
- Entropy in Cell Biology: Information Thermodynamics of a Binary Code and Szilard Engine Chain Model of Signal Transduction.Entropy (Basel, Switzerland) · 2018Review
26 more citing papers are in PubMed but not listed here.
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4 authors.
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Abstract
Physicochemical models of signaling pathways are characterized by high levels of structural and parametric uncertainty, reflecting both incomplete knowledge about signal transduction and the intrinsic variability of cellular processes. As a result, these models try to predict the dynamics of systems with tens or even hundreds of free parameters. At this level of uncertainty, model analysis should emphasize statistics of systems-level properties, rather than the detailed structure of solutions or boundaries separating different dynamic regimes. Based on the combination of random parameter search and continuation algorithms, we developed a methodology for the statistical analysis of mechanistic signaling models. In applying it to the well-studied MAPK cascade model, we discovered a large region of oscillations and explained their emergence from single-stage bistability. The surprising abundance of strongly nonlinear (oscillatory and bistable) input/output maps revealed by our analysis may be one of the reasons why the MAPK cascade in vivo is embedded in more complex regulatory structures. We argue that this type of analysis should accompany nonlinear multiparameter studies of stationary as well as transient features in network dynamics.
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