The resonance phenomenon in the reaction-diffusion systems.
Lobanov, A.I., Starozhilova, T.K., Chernyaev, A.P. (2001)
Discrete Dynamics in Nature and Society
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Lobanov, A.I., Starozhilova, T.K., Chernyaev, A.P. (2001)
Discrete Dynamics in Nature and Society
Similarity:
N. El Khatib, S. Génieys, V. Volpert (2010)
Mathematical Modelling of Natural Phenomena
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In this work we study the inflammatory process resulting in the development of atherosclerosis. We develop a one- and two-dimensional models based on reaction-diffusion systems to describe the set up of a chronic inflammatory response in the intima of an artery vessel wall. The concentration of the oxidized low density lipoproteins (ox-LDL) in the intima is the critical parameter of the model. Low ox-LDL concentrations do not lead to a chronic inflammatory reaction. Intermediate ox-LDL...