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The Rabbit Model of Accelerated Atherosclerosis: A Methodological Perspective of the Iliac Artery Balloon Injury
Published on: October 3, 2017
A mathematical model of atherosclerosis with reverse cholesterol transport and associated risk factors
1Department of Mathematics, Mathematical Biosciences Institute, The Ohio State University, Columbus, OH, USA, afriedman@math.osu.edu.
Insights
This study refines a mathematical model for atherosclerosis plaque growth, incorporating reverse cholesterol transport. Model simulations suggest potential therapeutic strategies applicable to humans, offering insights into managing risk factors like high blood pressure and smoking.
Area of Science:
- Cardiovascular Science
- Mathematical Biology
- Pharmacology
Background:
- Atherosclerosis is a leading cause of death, characterized by arterial plaque buildup.
- Blood concentrations of low-density lipoprotein (LDL) and high-density lipoprotein (HDL) are key risk factors.
- Previous mathematical models have explored plaque growth based on LDL and HDL levels.
Purpose of the Study:
- To refine a mathematical model of atherosclerosis plaque growth by incorporating reverse cholesterol transport.
- To explore the efficacy of potential drug therapies for plaque regression in mice and extrapolate to humans.
- To investigate the impact of oxidative stress, hypertension, and smoking on atherosclerosis risk.
Main Methods:
- Development and refinement of a mathematical model for plaque growth.
- Inclusion of reverse cholesterol transport mechanisms in the model.
- Simulation-based exploration of plaque regression in mice and analysis of risk factors.
Main Results:
- Model simulations suggest that drugs effective in mice may also slow plaque growth in humans.
- The study explored the influence of oxidative stress, antioxidant deficiency, high blood pressure, and smoking.
- Strategies for risk reduction in individuals with specific (LDL, HDL) concentrations were proposed.
Conclusions:
- Refined mathematical models can provide insights into atherosclerosis progression and regression.
- Therapeutic interventions tested in mice may hold promise for human application.
- Understanding and mitigating risk factors like hypertension and smoking are crucial for managing atherosclerosis.
Abstract:
Atherosclerosis, the leading cause of death in the US, is a disease in which a plaque builds up inside the arteries. The low density lipoprotein (LDL) and high density lipoprotein (HDL) concentrations in the blood are commonly used to predict the risk factor for plaque growth. In a recent paper (Hao and Friedman in Plos One e90497, 2014), we have developed a mathematical model of plaque growth which includes the (LDL, HDL) concentrations. In the present paper, we have refined that model by including the effect of reverse cholesterol transport. By exploration-by-examples of regression of a plaque in mice, our model simulations suggest that such drugs as used for mice may also slow plaque growth in humans. We next proceeded to explore the effects of oxidative stress or antioxidant deficiency, high blood pressure and cigarette smoking as risk factors. We suggest for an individual in one of these three risk categories and with specified (LDL, HDL) concentration, how to reduce or eliminate the risk of atherosclerosis.
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