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All issues Volume 20 (2025) Math. Model. Nat. Phenom., 20 (2025) 19 References
Issue
Math. Model. Nat. Phenom.
Volume 20, 2025
Special Issue to honour Vitaly's work
Article Number 19
Number of page(s) 20
DOI https://doi.org/10.1051/mmnp/2025018
Published online 10 July 2025
  1. R. Ross, Atherosclerosis - an inflammatory disease. N. Engl. J. Med. 340 (1992) 115-126. [Google Scholar]
  2. P. Libby, Inflammation during the life cycle of the atherosclerotic plaque. Cardiovasc. Res. 117 (2021) 2525-2536. [Google Scholar]
  3. J. Frostegard, Immunity, atherosclerosis and cardiovascular disease. BMC Med. 11 (2013) 117. [CrossRef] [Google Scholar]
  4. J.L. Breslow, Cardiovascular disease burden increases, NIH funding Decreases. Nat. Med. 3 (1997) 600-601. [Google Scholar]
  5. E. Braunwald, Lecture - cardiovascular medicine at the turn of the millennium: triumphs, concerns, and opportunities. N Engl. J. Med. 337 (1997) 1360-1369. [Google Scholar]
  6. P. Libby, J.E. Buring, L. Badimon and K. Pak, Atherosclerosis. Nat. Rev. Dis. Primers 5 (2019) 56. [Google Scholar]
  7. P. Kumar, Q. Shen, C.D. Pivetti, E.S. Lee, M.H. Wu and S.Y. Yuan, Molecular mechanisms of endothelial hyperpermeability: implications in Inflammation. Expert Rev. Mol. Med. 11 (2019) e19. [Google Scholar]
  8. R.J. Frink, Inflammatory Atherosclerosis: Characteristics of the Injurious Agent. Heart Research Foundation, Sacramento, CA (2002). [Google Scholar]
  9. L.P.L. van de Vijver, A.F.M. Kardinaal, W. van Duyvenvoorde, D.A.C.M. Kruijssen, D.E. Grobbee, G. van Poppel and H.M.G. Princen, LDL oxidation and extent of coronary atherosclerosis. Arterioscler. Thromb. Vasc. Biol. 18 (1998) 193-199. [CrossRef] [PubMed] [Google Scholar]
  10. P. Ambrosino, T. Bachetti, S.E. D'Anna, B. Galloway, A. Bianco, V. D'Agnano, A. Papa, A. Motta, F. Perrotta and M. Maniscalco, Mechanisms and clinical implications of endothelial dysfunction in arterial hypertension. J. Cardiovasc. Dev. Dis. 9 (2022) 136. [Google Scholar]
  11. U. Laufs, V.L. Fata, J. Plutzky and J.K. Liao, Upregulation of endothelial nitric oxide synthase by HMG COA reductase inhibitors. Circulation 97 (1998) 1129-1135. [CrossRef] [PubMed] [Google Scholar]
  12. P.M. Consigny, Pathogenesis of atherosclerosis. AJR 164 (1995) 553-558. [CrossRef] [PubMed] [Google Scholar]
  13. P. Libby, Inflammation in atherosclerosis. Nature 420 (2002) 868-874. [Google Scholar]
  14. A.J. Lusis, Atherosclerosis. Nature 407 (2000) 233-241. [Google Scholar]
  15. D. Bayik, D. Tross, L.A. Haile, D. Verthelyi and D.M. Klinman, Regulation of the maturation of human monocytes into immunosuppressive macrophages. Blood Adv. 1 (2017) 2510-2519. [CrossRef] [PubMed] [Google Scholar]
  16. R. Ross, Atherosclerosis—an inflammatory disease. N. Engl. J. Med. 340 (1999) 115-126. [Google Scholar]
  17. M.L. Brophy, Y. Dong, H. Wu, H.N.A. Rahman, K. Song and H. Chen, Eating the dead to keep atherosclerosis at bay. Front. Cardiovasc. Med., 4 (2017) 2. [Google Scholar]
  18. N. El Khatib, S. Genieys, B. Kazmierczak and V. Volpert, Mathematical modelling of atherosclerosis as an inflammatory disease. Math. Model. Natural Phenomena 2 (2007) 126-141. [Google Scholar]
  19. G. Abi Younes and N. E. L. Khatib, Mathematical modeling of atherogenesis: atheroprotective role of HDL. J. Theor. Biol. 529 (2021) 110855. [Google Scholar]
  20. G. Younes and N. El Khatib, Mathematical modeling of inflammatory processes of atherosclerosis. Math. Model. Natural Phenomena 17 (2022) 5. [Google Scholar]
  21. W. El Hajj and N. El Khatib, Effect of permeability on the initiation of atherosclerosis modeled as an inflammatory process. J. Theor. Biol. 564 (2023) 111461. [Google Scholar]
  22. T. Silva, W. Jager, M. Neuss-Radu and A. Sequeira, Modeling of the early stage of atherosclerosis with emphasis on the regulation of the endothelial permeability. J. Theor. Biol. 496 (2020) 110229. [Google Scholar]
  23. N. El Khatib, O. Kafi and S. Boujena, A 2D mathematical model of blood flow and its interactions in an atherosclerotic artery. Math. Model. Natural Phenomena 09 (2014). [Google Scholar]
  24. O. Kafi, N. Khatib, J. Tiago and A. Sequeira, Numerical simulations of a 3d fluid-structure interaction model for blood flow in an atherosclerotic artery. Math. Biosci. Eng. 14 (2017) 179-193. [Google Scholar]
  25. W. El Hajj, N. El Khatib and V. Volpert, Inflammation propagation modeled as a reaction—diffusion wave. Math. Biosci. 365 (2023) 109074. [Google Scholar]
  26. G. Younes, N. El Khatib and V. Volpert, Existence of solution of a free boundary problem for reaction—diffusion systems. J. Math. Sci. 283 (2024) 1-17. [Google Scholar]
  27. G. Younes, N. E. L. Khatib and V. Volpert, A free boundary mathematical model of atherosclerosis. Appl. Anal. 103 (2023) 1-23. [Google Scholar]
  28. K.A. Pritchard, L. Groszek, D.M. Smalley, W.C. Sessa, M. Wu, P. Villalon, M.S. Wolin and M.B. Stemerman, Native low-density lipoprotein increases endothelial cell nitric oxide synthase generation of superoxide anion. Circ. Res. 77 (1995) 510-518. [CrossRef] [PubMed] [Google Scholar]
  29. Y. Lee and W.J. Siddiqui, Cholesterol Levels, in StatPearls. StatPearls Publishing (2023). [Google Scholar]
  30. V. Volpert, Elliptic Partial Differential Equations, Vol. 2: Reaction-Diffusion Equations. Birkhauser (2014). [CrossRef] [Google Scholar]
  31. C. Khatana, N.K. Saini, S. Chakrabarti, V. Saini, A. Sharma, R.V. Saini and A.K. Saini, Mechanistic insights into the oxidized low-density lipoprotein-induced atherosclerosis. Oxid. Med. Cell. Longev. 2020 (2020) 5245308. [Google Scholar]
  32. G. Maiolino, G. Rossitto, P. Caielli, V. Bisogni, G.P. Rossi and L.A. Calo, The role of oxidized low-density lipoproteins in atherosclerosis: the myths and the facts. Mediators Inflamm. 2013 (2013) 714653. [Google Scholar]
  33. A.S. Kelly, D.R. Jacobs Jr, A.R. Sinaiko, A. Moran, L.M. Steffen and J. Steinberger, Relation of circulating oxidized LDL to obesity and insulin resistance in children. Pediatr. Diabetes 11 (2010) 552-555. [Google Scholar]
  34. Y. Yamaguchi, J. Haginaka, S. Morimoto, Y. Fujioka and M. Kunitomo, Facilitated nitration and oxidation of LDL in cigarette smokers. Eur. J. Clin. Invest. 35 (2005) 186-193. [CrossRef] [PubMed] [Google Scholar]
  35. H. Schroder, J. Marrugat, M. Fito, T. Weinbrenner and M.-I. Covas, Alcohol consumption is directly associated with circulating oxidized low-density lipoprotein. Free Radic. Biol. Med. 40 (2006) 1474-1481. [Google Scholar]
  36. L. Xu, X. Yan, Z. Tang and B. Feng, Association between circulating oxidized OxLDL/LDL-C ratio and the severity of coronary atherosclerosis, along with other emerging biomarkers of cardiovascular disease in patients with type 2 diabetes. Diabetes Res. Clin. Pract. 191 (2022) 110040. [CrossRef] [Google Scholar]
  37. I. Wendelhag, O. Wiklund and J. Wikstrand, On quantifying plaque size and intima-media thickness in carotid and femoral arteries. Comments on results from a prospective ultrasound study in patients with familial hypercholesterolemia. Arterioscler. Thromb. Vasc. Biol. 16 (1996) 843-850. [CrossRef] [PubMed] [Google Scholar]
  38. A. Phrommintikul, R. Krittayaphong, W. Wongcharoen, S. Yamwong, S. Boonyaratavej, R. Kunjara-Na-Ayudhya, P. Tatsanavivat, P. Sritara and CORE-Thailand Investigators, Management of atherosclerosis risk factors for patients at high cardiovascular risk in real-world practice: a multicentre study. Singapore Med. J. 58 (2017) 535-542. [Google Scholar]
  39. A.V. Poznyak, N.G. Nikiforov, A.M. Markin, D.A. Kashirskikh, V.A. Myasoedova, E.V. Gerasimova and A.N. Orekhov, Overview of OxLDL and its impact on cardiovascular health: focus on atherosclerosis. Front. Pharmacol. 11 (2020) 613780. [Google Scholar]
  40. S.J. Peterson, A. Choudhary, A.K. Kalsi, S. Zhao, R. Alex and N.G. Abraham, OX-HDL: a starring role in cardiorenal syndrome and the effects of heme oxygenase-1 intervention. Diagnostics (Basel) 10 (2020) 976. [CrossRef] [PubMed] [Google Scholar]
  41. S. Bandeali and J. Farmer, High-density lipoprotein and atherosclerosis: the role of antioxidant activity. Curr. Atheroscler. Rep. 14 (2012) 101-107. [CrossRef] [PubMed] [Google Scholar]
  42. A. Moussaoui and V. Volpert, Speed of wave propagation for a nonlocal reaction-diffusion equation. Appl. Anal. 99 (2020) 2307-2321. [CrossRef] [MathSciNet] [Google Scholar]

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