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Bifurcation and stability analysis of atherosclerosis disease model characterizing the anti-oxidative activity of HDL during short- and long-time evolution
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Trends in Mathematical, Information and Data Sciences
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3-additive linear multi-step methods for diffusion-reaction-advection models
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Mathematical modeling of inflammatory processes of atherosclerosis
Margaret K. McGuire, Chase A. Fuller, John F. Lindner and Niklas Manz Chaos: An Interdisciplinary Journal of Nonlinear Science 31(3) (2021) https://doi.org/10.1063/5.0020906
A multiphase model of growth factor-regulated atherosclerotic cap formation
An integrated approach to simulating the vulnerable atherosclerotic plaque
Navid Mohammad Mirzaei, William S. Weintraub and Pak-Wing Fok American Journal of Physiology-Heart and Circulatory Physiology 319(4) H835 (2020) https://doi.org/10.1152/ajpheart.00174.2020
Modeling of the early stage of atherosclerosis with emphasis on the regulation of the endothelial permeability
Existence, uniqueness, stability and asymptotic behavior of solutions for a mathematical model of atherosclerosis
Telma Silva, Adélia Sequeira, Rafael F. Santos and Jorge Tiago Discrete & Continuous Dynamical Systems - S 9(1) 343 (2016) https://doi.org/10.3934/dcdss.2016.9.343
NUMERICAL MODELING OF ATHEROSCLEROSIS LESION EVOLUTION IN TIME I. INITIAL STAGE OF THE DISEASE
Andrew Parton, Victoria McGilligan, Maurice O’Kane, Francina R. Baldrick and Steven Watterson Briefings in Bioinformatics 17(4) 562 (2016) https://doi.org/10.1093/bib/bbv081
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Bifurcation and dynamics in a mathematical model of early atherosclerosis
Alexander D. Chalmers, Anna Cohen, Christina A. Bursill and Mary R. Myerscough Journal of Mathematical Biology 71(6-7) 1451 (2015) https://doi.org/10.1007/s00285-015-0864-5
Advection-Diffusion-Reaction Equations: Hyperbolization and High-Order ADER Discretizations
Blood Flow Simulation in Atherosclerotic Vascular Network Using Fiber-Spring Representation of Diseased Wall
Yu. Vassilevski, S. Simakov, V. Salamatova, Yu. Ivanov and T. Dobroserdova Mathematical Modelling of Natural Phenomena 6(5) 333 (2011) https://doi.org/10.1051/mmnp/20116513
Mathematical modelling of atherosclerosis as an inflammatory disease
N. El Khatib, S. Génieys, B. Kazmierczak and V. Volpert Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 367(1908) 4877 (2009) https://doi.org/10.1098/rsta.2009.0142