ArticleJournal of mathematical biology2015
Bifurcation and dynamics in a mathematical model of early atherosclerosis: How acute inflammation drives lesion development.
Article in Journal of mathematical biology, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 17 papers.
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Who cites it
17 citing papers in PubMed.
- Blood Lipoproteins Shape the Phenotype and Lipid Content of Early Atherosclerotic Lesion Macrophages: A Dual-Structured Mathematical Model.Bulletin of mathematical biology · 2024Article
- A Lipid-Structured Model of Atherosclerosis with Macrophage Proliferation.Bulletin of mathematical biology · 2024Article
- Development of physiologically-informed computational coronary artery plaques for use in virtual imaging trials.Medical physics · 2024Article
- A stochastic lipid structured model for macrophage dynamics in atherosclerotic plaques.Journal of mathematical biology · 2024Article
- Haemodynamic Effects on the Development and Stability of Atherosclerotic Plaques in Arterial Blood Vessel.Interdisciplinary sciences, computational life sciences · 2023Article
- Investigating key cell types and molecules dynamics in PyMT mice model of breast cancer through a mathematical model.PLoS computational biology · 2022Article
- A Turing mechanism in order to explain the patchy nature of Crohn's disease.Journal of mathematical biology · 2021Article
- Simple model of atherosclerosis in cylindrical arteries: impact of anisotropic growth on Glagov remodeling.Mathematical medicine and biology : a journal of the IMA · 2021Article
- An integrated approach to simulating the vulnerable atherosclerotic plaque.American journal of physiology. Heart and circulatory physiology · 2020Review
- A multiphase model of growth factor-regulated atherosclerotic cap formation.Journal of mathematical biology · 2020Article
- Article
- Identifying important parameters in the inflammatory process with a mathematical model of immune cell influx and macrophage polarization.PLoS computational biology · 2019Article
- A Control-Theoretic Model of Atherosclerosis.International journal of molecular sciences · 2019Article
- Anti-atherosclerotic effect of the angiotensin 1-7 mimetic AVE0991 is mediated by inhibition of perivascular and plaque inflammation in early atherosclerosis.British journal of pharmacology · 2017Article
- Demyelination patterns in a mathematical model of multiple sclerosis.Journal of mathematical biology · 2017Article
- Article
- Ox-LDL Upregulates IL-6 Expression by Enhancing NF-κB in an IGF2-Dependent Manner in THP-1 Macrophages.Inflammation · 2015Article
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Authors and funding
4 authors.
Funding
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Abstract
We present here a mathematical model describing the primary mechanisms that drive the early stages of atherosclerosis. This involves the interactions between modified low density lipoprotein (LDL), monocytes/macrophages, cytokines and foam cells. This model suggests that there is an initial inflammatory phase associated with atherosclerotic lesion development and a longer, quasi-static process of plaque development inside the arterial wall that follows the initial transient. We will show results that show how different LDL concentrations in the blood stream and different immune responses can affect the development of a plaque. Through numerical bifurcation analysis, we show the existence of a fold bifurcation when the flux of LDL from the blood is sufficiently high. By analysing the model presented in this paper, we gain a greater insight into this inflammatory response qualitatively and quantitatively.
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