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1篇 您的检索式:作者名="Debasmita Mukherjee"
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1Dynamical behavior of a mathematical model of early atherosclerosis显示文摘Atherosclerosis,a continual inflammatory disease occurring due to plaque cumulation in the arterial intima,is one of the main reasons behind deaths from diverse cardiovascular diseases.The basic interactions between oxidized low density lipoprotein(LDL)and macrophages in the formation of atherosclerotic plaque are modeled here in terms of a reaction-diffusion system in one-dimensional(1D)space under Neumann boundary conditions.Two simple mathematical models are considered which differ by the influx term only in the case of the interaction of oxidized LDL.Both the spatial and nonspatial systems are simply analyzed theoretically and numerically.Numerical bifurcation analysis confirms the existence of Hopf bifurcation concerning four significant model parameters.Examining the gravity of the model offered in this investigation,an obvious insight into this inflammatory response can be achieved both qualitatively and quantitatively.Debasmita Mukherjee Lakshmi Narayan Guin Santabrata Chakravarty 2020International Journal of Modeling, Simulation, and Scientific Computing2020,11,1:0
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