ArticleBiophysical journal2021
Mathematical modeling of Erk activity waves in regenerating zebrafish scales.
Article in Biophysical journal, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 11 papers.
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Who cites it
11 citing papers in PubMed, 20 citations in OpenAlex.
- Signal control during tissue regeneration in adult animals.Nature reviews. Molecular cell biology · 2026Review
- Geometrical compartmentalization of trigger waves.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Article
- Neuronal activation in the axolotl brain promotes tail regeneration.NPJ Regenerative medicine · 2025Article
- Information transmission in a cell monolayer: A numerical study.PLoS computational biology · 2025Article
- Excitable dynamics driven by mechanical feedback in biological tissues.Communications physics · 2024Article
- Article
- Ultrafast and long-range coordination of wound responses is essential for whole-body regeneration.bioRxiv : the preprint server for biology · 2023Article
- The carboxyl-terminal TSP1-homology domain is the biologically active effector peptide of matricellular protein CCN5 that counteracts profibrotic CCN2.The Journal of biological chemistry · 2023Article
- Waves in Embryonic Development.Annual review of biophysics · 2022Review
- Live imaging approach of dynamic multicellular responses in ERK signaling during vertebrate tissue development.The Biochemical journal · 2022Review
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Authors and funding
4 authors at 2 institutions in 1 country.
Funding
Abstract
Erk signaling regulates cellular decisions in many biological contexts. Recently, we have reported a series of Erk activity traveling waves that coordinate regeneration of osteoblast tissue in zebrafish scales. These waves originate from a central source region, propagate as expanding rings, and impart cell growth, thus controlling tissue morphogenesis. Here, we present a minimal reaction-diffusion model for Erk activity waves. The model considers three components: Erk, a diffusible Erk activator, and an Erk inhibitor. Erk stimulates both its activator and inhibitor, forming a positive and negative feedback loop, respectively. Our model shows that this system can be excitable and propagate Erk activity waves. Waves originate from a pulsatile source that is modeled by adding a localized basal production of the activator, which turns the source region from an excitable to an oscillatory state. As Erk activity periodically rises in the source, it can trigger an excitable wave that travels across the entire tissue. Analysis of the model finds that positive feedback controls the properties of the traveling wavefront and that negative feedback controls the duration of Erk activity peak and the period of Erk activity waves. The geometrical properties of the waves facilitate constraints on the effective diffusivity of the activator, indicating that waves are an efficient mechanism to transfer growth factor signaling rapidly across a large tissue.
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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.