Bulletin of Mathematical Biology

, Volume 64, Issue 1, pp 65–95 | Cite as

Lipoprotein oxidation and its significance for atherosclerosis: A mathematical approach

  • C. A. CobboldEmail author
  • J. A. Sherratt
  • S. R. J. Maxwell


Atherosclerosis is a chronic disease which involves the build up of cholesterol and fatty deposits within the arterial wall. This results in the narrowing of the vessel lumen, which eventually restricts blood flow to vital organs such as the heart and lungs. These events may culminate in a heart attack or stroke, the commonest causes of death in the U.K. population. In this paper we study the early stages of atherosclerosis which include the build up of cholesterol within subendothelial cells to form what is known as a fatty streak, the earliest identifiable evidence of atherosclerosis. The deposition of cholesterol is believed to be a consequence of oxidation of circulating cholesterol-rich lipoproteins, in particular low density lipoproteins (LDLs). Via a mathematical model we investigate this process of oxidation within the context of an in vitro framework. We first recreate existing experimental results and then extend the model to investigate phenomenon not studied by current experimental protocols. We find that the model displays hysteresis which reveals some interesting insights into possible in vivo events. Mathematical analysis of this behaviour predicts that vitamin E supplementation is not as beneficial as high density lipoproteins (HDLs) and vitamin C. Furthermore, the scavenging of oxidants by HDL can provide an important first line of defence against LDL oxidation.


High Density Lipoprotein Reverse Cholesterol Transport Fatty Streak Steady State Equation Lipoprotein Oxidation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Society for Mathematical Biology 2002

Authors and Affiliations

  • C. A. Cobbold
    • 1
    Email author
  • J. A. Sherratt
    • 1
  • S. R. J. Maxwell
    • 1
    • 2
  1. 1.Centre for Theoretical Modelling in Medicine, Department of MathematicsHeriot-Watt UniversityEdinburghUK
  2. 2.Clinical PharmacologyUniversity of Edinburgh, Western General HospitalEdinburghUK

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