ArticleBiophysical journal2018
Mathematical Models for Cell Migration with Real-Time Cell Cycle Dynamics.
Article in Biophysical journal, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 23 papers.
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Who cites it
23 citing papers in PubMed.
- Cell Population Dynamics Informed by Cell-Cycle Regulation: A Deterministic Modeling Toolkit.Computational and structural biotechnology journal · 2026Review
- Structural identifiability of linear-in-parameter parabolic PDEs through auxiliary elliptic operators.Journal of mathematical biology · 2025Article
- Quantifying cell cycle regulation by tissue crowding.Biophysical journal · 2025Article
- The impact of tumor microenvironment and treatment schedule on the effectiveness of radiation therapy.PloS one · 2025Article
- Interdependency of estradiol-mediated ERα activation and subsequent PR and GREB1 induction to control cell cycle progression.Heliyon · 2024Article
- Parameter identifiability and model selection for partial differential equation models of cell invasion.Journal of the Royal Society, Interface · 2024Article
- Fluorescent biosensors illuminate the spatial regulation of cell signaling across scales.The Biochemical journal · 2023Review
- Quantifying tissue growth, shape and collision via continuum models and Bayesian inference.Journal of the Royal Society, Interface · 2023Article
- A Continuum Mathematical Model of Substrate-Mediated Tissue Growth.Bulletin of mathematical biology · 2022Article
- Designing and interpreting 4D tumour spheroid experiments.Communications biology · 2022Article
- Article
- Imaging developmental cell cycles.Biophysical journal · 2021Review
- Estimating parameters of a stochastic cell invasion model with fluorescent cell cycle labelling using approximate Bayesian computation.Journal of the Royal Society, Interface · 2021Article
- Synchronized oscillations in growing cell populations are explained by demographic noise.Biophysical journal · 2021Article
- A novel mathematical model of heterogeneous cell proliferation.Journal of mathematical biology · 2021Article
- Review
- Examining Go-or-Grow Using Fluorescent Cell-Cycle Indicators and Cell-Cycle-Inhibiting Drugs.Biophysical journal · 2020Article
- Practical parameter identifiability for spatio-temporal models of cell invasion.Journal of the Royal Society, Interface · 2020Article
- Mathematical models incorporating a multi-stage cell cycle replicate normally-hidden inherent synchronization in cell proliferation.Journal of the Royal Society, Interface · 2019Article
- Simulation and inference algorithms for stochastic biochemical reaction networks: from basic concepts to state-of-the-art.Journal of the Royal Society, Interface · 2019Article
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5 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The fluorescent ubiquitination-based cell cycle indicator, also known as FUCCI, allows the visualization of the G1 and S/G2/M cell cycle phases of individual cells. FUCCI consists of two fluorescent probes, so that cells in the G1 phase fluoresce red and cells in the S/G2/M phase fluoresce green. FUCCI reveals real-time information about cell cycle dynamics of individual cells, and can be used to explore how the cell cycle relates to the location of individual cells, local cell density, and different cellular microenvironments. In particular, FUCCI is used in experimental studies examining cell migration, such as malignant invasion and wound healing. Here we present, to our knowledge, new mathematical models that can describe cell migration and cell cycle dynamics as indicated by FUCCI. The fundamental model describes the two cell cycle phases, G1 and S/G2/M, which FUCCI directly labels. The extended model includes a third phase, early S, which FUCCI indirectly labels. We present experimental data from scratch assays using FUCCI-transduced melanoma cells, and show that the predictions of spatial and temporal patterns of cell density in the experiments can be described by the fundamental model. We obtain numerical solutions of both the fundamental and extended models, which can take the form of traveling waves. These solutions are mathematically interesting because they are a combination of moving wavefronts and moving pulses. We derive and confirm a simple analytical expression for the minimum wave speed, as well as exploring how the wave speed depends on the spatial decay rate of the initial condition.
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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.