Bifurcation and dynamics in a mathematical model of early atherosclerosis: How acute inflammation drives lesion development

Journal of Mathematical Biology
Alexander D ChalmersMary R Myerscough

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.

References

Dec 5, 1998·The Journal of Biological Chemistry·C D PaavolaT M Handel
Jan 14, 1999·The New England Journal of Medicine·R Ross
Sep 23, 2000·Nature·A J Lusis
Mar 1, 2002·Bulletin of Mathematical Biology·C A CobboldS R J Maxwell
Dec 20, 2002·Nature·Peter Libby
Mar 17, 2004·Journal of Theoretical Biology·T I ZohdiS A Berger
Jul 29, 2004·Proceedings of the National Academy of Sciences of the United States of America·Jaime LlodráGwendalyn J Randolph
Oct 30, 2004·Circulation Research·Israel F Charo, Mark B Taubman
Dec 17, 2004·The New England Journal of Medicine·Jennifer K PaiEric B Rimm
May 14, 2005·Circulation Research·Anders H Berg, Philipp E Scherer
Sep 16, 2005·Mathematical Medicine and Biology : a Journal of the IMA·A I IbragimovJ R Walton
May 11, 2006·Nitric Oxide : Biology and Chemistry·Claudio NapoliLouis J Ignarro
Jun 17, 2006·Nature Reviews. Immunology·Göran K Hansson, Peter Libby
Aug 4, 2007·Arteriosclerosis, Thrombosis, and Vascular Biology·Elena Galkina, Klaus Ley
Jun 17, 2008·Bioinformatics·Francesco PappalardoSanto Motta
Sep 6, 2008·Arteriosclerosis, Thrombosis, and Vascular Biology·Andrew C Newby
Mar 24, 2009·Annual Review of Immunology·Elena Galkina, Klaus Ley
May 8, 2009·Nature Reviews. Cardiology·Gayle E McKellarIain B McInnes
Jul 14, 2009·American Journal of Physiology. Heart and Circulatory Physiology·Mahsa DabaghJohn M Tarbell
Jul 29, 2009·Clinical Immunology : the Official Journal of the Clinical Immunology Society·John AnderssonGöran K Hansson
Nov 4, 2009·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·N El KhatibV Volpert
Dec 5, 2009·Nature Reviews. Immunology·Ira Tabas
Apr 27, 2010·Physics of Life Reviews·V Volpert, S Petrovskii
May 5, 2010·Bulletin of Mathematical Biology·Anna OugrinovskaiaMary R Myerscough
May 15, 2010·Circulation Journal : Official Journal of the Japanese Circulation Society·Naoki NozawaKazuo Kimura
Aug 23, 2011·Journal of Mathematical Biology·N El KhatibV Volpert
Sep 23, 2011·IEEE Transactions on Information Technology in Biomedicine : a Publication of the IEEE Engineering in Medicine and Biology Society·Nenad FilipovicOberdan Parodi
Dec 7, 2011·Journal of Theoretical Biology·M A K Bulelzai, Johan L A Dubbeldam
Jun 6, 2012·IEEE Transactions on Information Technology in Biomedicine : a Publication of the IEEE Engineering in Medicine and Biology Society·Oberdan ParodiNenad Filipovic
Jul 6, 2012·Nature·Partha DuttaMatthias Nahrendorf
May 31, 2013·Journal of Mathematical Biology·A HidalgoE F Toro
Nov 8, 2013·Journal of the Royal Society, Interface·Myriam CillaMiguel A Martínez
Apr 12, 2014·Bulletin of Mathematical Biology·Anna CohenRosemary S Thompson

❮ Previous
Next ❯

Citations

Jan 1, 2017·Journal of Mathematical Biology·M C LombardoM Sammartino
Nov 29, 2017·Bulletin of Mathematical Biology·Moritz P ThonMary R Myerscough
Aug 9, 2019·Bulletin of Mathematical Biology·Moritz P ThonMichael W Gee
Jul 31, 2020·Journal of Mathematical Biology·Michael G WatsonMary R Myerscough
Aug 17, 2020·American Journal of Physiology. Heart and Circulatory Physiology·Navid Mohammad MirzaeiPak-Wing Fok
Feb 15, 2019·International Journal of Molecular Sciences·Dorota FormanowiczPiotr Formanowicz
Aug 21, 2020·Mathematical Medicine and Biology : a Journal of the IMA·Navid Mohammad Mirzaei, Pak-Wing Fok
Nov 22, 2017·Biomechanics and Modeling in Mechanobiology·M P ThonM W Gee
Oct 14, 2020·PloS One·Dorota Formanowicz, Jacek B Krawczyk
Jul 19, 2019·Journal of Theoretical Biology·Hugh Z FordMary R Myerscough
Jul 6, 2021·Journal of Mathematical Biology·Grégoire NadinHatem Zaag
Dec 22, 2021·WIREs Mechanisms of Disease·Mark Tomás Mc Auley

❮ Previous
Next ❯

Related Concepts

Related Feeds

ApoE, Lipids & Cholesterol

Serum cholesterol, triglycerides, apolipoprotein B (APOB)-containing lipoproteins (very low-density lipoprotein (VLDL), immediate-density lipoprotein (IDL), and low-density lipoprotein (LDL), lipoprotein A (LPA)) and the total cholesterol/high-density lipoprotein (HDL) cholesterol ratio are all connected in diseases. Here is the latest research.

Atherosclerosis Disease Progression

Atherosclerosis is the buildup of plaque on artery walls, causing stenosis which can eventually lead to clinically apparent cardiovascular disease. Find the latest research on atherosclerosis disease progression here.

Related Papers

La Revue du praticien
A Tedgui, Z Mallat
Archives of Medical Research
Luis Chávez-SánchezFrancisco Blanco-Favela
© 2022 Meta ULC. All rights reserved