期刊
JOURNAL OF BIOLOGICAL DYNAMICS
卷 17, 期 1, 页码 -出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/17513758.2023.2257734
关键词
Atherosclerosis; diabetes; free boundary problem; steady solution; stability
In this paper, a simplified mathematical model for diabetic atherosclerosis is studied, showing that hyperglycemia leads to the persistence of plaque even when LDL and HDL levels are normal, therefore confirming the increased risk of atherosclerosis in diabetes.
Atherosclerosis is a leading cause of death worldwide. Making matters worse, nearly 463 million people have diabetes, which increases atherosclerosis-related inflammation. Diabetic patients are twice as likely to have a heart attack or stroke. In this paper, we consider a simplified mathematical model for diabetic atherosclerosis involving LDL, HDL, glucose, insulin, free radicals (ROS), & beta; cells, macrophages and foam cells, which satisfy a system of partial differential equations with a free boundary, the interface between the blood flow and the plaque. We establish the existence of small radially symmetric stationary solutions to the model and study their stability. Our analysis shows that the plague will persist due to hyperglycemia even when LDL and HDL are in normal range, hence confirms that diabetes increase the risk of atherosclerosis.
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