ArticlePloS one
A Macroscopic Mathematical Model for Cell Migration Assays Using a Real-Time Cell Analysis.
Article in PloS one. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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Who cites it
6 citing papers in PubMed.
- A Mathematical Model for Chemo-Mechanically Induced Collective Cell Motility on Planar Elastic Substrates.International journal for numerical methods in biomedical engineering · 2026Article
- A Model for Membrane Degradation Using a Gelatin Invadopodia Assay.Bulletin of mathematical biology · 2024Article
- Article
- YULINK regulates vascular formation in zebrafish and HUVECs.Biological research · 2023Article
- Reprogramming miRNAs global expression orchestrates development of drug resistance in BRAF mutated melanoma.Cell death and differentiation · 2019Article
- Retro-inverso Urokinase Receptor Antagonists for the Treatment of Metastatic Sarcomas.Scientific reports · 2017Article
Corrections and comments
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Authors and funding
6 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Experiments of cell migration and chemotaxis assays have been classically performed in the so-called Boyden Chambers. A recent technology, xCELLigence Real Time Cell Analysis, is now allowing to monitor the cell migration in real time. This technology measures impedance changes caused by the gradual increase of electrode surface occupation by cells during the course of time and provide a Cell Index which is proportional to cellular morphology, spreading, ruffling and adhesion quality as well as cell number. In this paper we propose a macroscopic mathematical model, based on advection-reaction-diffusion partial differential equations, describing the cell migration assay using the real-time technology. We carried out numerical simulations to compare simulated model dynamics with data of observed biological experiments on three different cell lines and in two experimental settings: absence of chemotactic signals (basal migration) and presence of a chemoattractant. Overall we conclude that our minimal mathematical model is able to describe the phenomenon in the real time scale and numerical results show a good agreement with the experimental evidences.
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Registered trials
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