ArticleJournal of mathematical biology2017
Mathematical modeling and its analysis for instability of the immune system induced by chemotaxis.
Article in Journal of mathematical biology, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
What it found
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
The trial behind it
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Who cites it
2 citing papers in PubMed.
- Chemokine Transport Dynamics and Emerging Recognition of Their Role in Immune Function.Current opinion in biomedical engineering · 2018Article
- Integrative Computational Modeling of the Lymph Node Stromal Cell Landscape.Frontiers in immunology · 2018Review
Corrections and comments
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Authors and funding
4 authors.
Funding
Abstract
In this paper, we study how chemotaxis affects the immune system by proposing a minimal mathematical model, a reaction-diffusion-advection system, describing a cross-talk between antigens and immune cells via chemokines. We analyze the stability and instability arising in our chemotaxis model and find their conditions for different chemotactic strengths by using energy estimates, spectral analysis, and bootstrap argument. Numerical simulations are also performed to the model, by using the finite volume method in order to deal with the chemotaxis term, and the fractional step methods are used to solve the whole system. From the analytical and numerical results for our model, we explain not only the effective attraction of immune cells toward the site of infection but also hypersensitivity when chemotactic strength is greater than some threshold.
Indexed as
Identifiers
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Registered trials
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