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A Spatially Resolved and Quantitative Model of Early Atherosclerosis
Moritz P Thon1, Mary R Myerscough2, Michael W Gee3
1Mechanics and High Performance Computing Group, Technical University of Munich, Parkring 35, 85748, Garching b. München, Germany.
Insights
Predicting atherosclerosis progression is key for treatment. A new mathematical model shows low wall shear stress below 20% of average exposure predicts vulnerable plaque development, guiding prevention strategies.
Area of Science:
- Cardiovascular Research
- Biomedical Engineering
- Immunology
Background:
- Atherosclerosis poses a significant global health burden, necessitating a deeper understanding of its inflammatory, immunological, and biomechanical underpinnings.
- Predicting the progression, stagnation, or regression of early atherosclerotic plaques is crucial for effective prevention and treatment.
- The precise biological and mechanobiological drivers of plaque stability remain incompletely understood.
Purpose of the Study:
- To develop a quantitative, spatially resolved mathematical model to understand early atherosclerosis plaque stability.
- To identify and classify regions prone to or resistant to atherosclerotic plaque progression.
- To link plaque stability to measurable in vivo factors like cholesterol concentration and wall shear stress.
Main Methods:
- Development of a mathematical model integrating Darcy's law for transmural flow and Kedem-Katchalsky equations for endothelial fluxes.
- Incorporation of a quantitative model for early plaque formation and a novel submodel for macrophage recruitment.
- Assessment of atherosclerotic plaque stability using the developed model based on in vivo inputs.
Main Results:
- The model indicates that advective flux of lipoproteins through the endothelium is a decisive factor in plaque progression.
- Advective transport within the artery wall was found to have a negligible influence on plaque stability.
- Regions with wall shear stress below approximately 20% of average exposure are identified as potential sites for progression-prone plaque development.
Conclusions:
- The study provides a novel mathematical framework for assessing atherosclerotic plaque stability.
- Low wall shear stress is identified as a critical predictor of progression-prone atherosclerotic plaque development.
- Findings can inform targeted prevention and treatment strategies for atherosclerosis.
Abstract:
Atherosclerosis is a major burden for all societies, and there is a great need for a deeper understanding of involved key inflammatory, immunological and biomechanical processes. A decisive step for the prevention and medical treatment of atherosclerosis is to predict what conditions determine whether early atherosclerotic plaques continue to grow, stagnate or become regressive. The driving biological and mechanobiological mechanisms that determine the stability of plaques are yet not fully understood. We develop a spatially resolved and quantitative mathematical model of key contributors of early atherosclerosis. The stability of atherosclerotic model plaques is assessed to identify and classify progression-prone and progression-resistant atherosclerotic regions based on measurable or computable in vivo inputs, such as blood cholesterol concentrations and wall shear stresses. The model combines Darcy's law for the transmural flow through vessels walls, the Kedem-Katchalsky equations for endothelial fluxes of lipoproteins, a quantitative model of early plaque formation from a recent publication and a novel submodel for macrophage recruitment. The parameterization and analysis of the model suggest that the advective flux of lipoproteins through the endothelium is decisive, while the influence of the advective transport within the artery wall is negligible. Further, regions in arteries with an approximate wall shear stress exposure below 20% of the average exposure and their surroundings are potential regions where progression-prone atherosclerotic plaques develop.
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