Abstract
The evolution of atherosclerotic plaque is in general a complex phenomenon, which is yet to be perceived completely. The present work deals with a simple reaction–diffusion model system to describe the early onset of atherosclerotic plaque formation. Both the non-spatial and spatial systems are studied analytically and numerically. The non-spatial system has been found to be globally stable, and hence, it can withstand considerable variation in parameter values leading to some assistance for various clinical investigations on atherosclerosis. The results based on model parameter values reveal several bifurcation diagrams with respect to significant model parameters with biological implications for the non-spatial system. Moreover, necessary condition for diffusive instability of a locally stable equilibrium is included in the present work to understand the dynamical behaviour of the system.
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Acknowledgements
The authors gratefully acknowledge the financial support by Special Assistance Programme (SAP-III) sponsored by the University Grants Commission (UGC), New Delhi, India [Grant nos. F.510/3/DRS-III/2015(SAP-I)].
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Mukherjee, D., Guin, L.N. & Chakravarty, S. A reaction–diffusion mathematical model on mild atherosclerosis. Model. Earth Syst. Environ. 5, 1853–1865 (2019). https://doi.org/10.1007/s40808-019-00643-6
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DOI: https://doi.org/10.1007/s40808-019-00643-6