Bifurcation and dynamics in a mathematical model of early atherosclerosis: How acute inflammation drives lesion development

Journal of Mathematical Biology

Volumn 71, Issue 6-7, 2015, Pages 1451-1480

  Chalmers, Alexander D ^a   Cohen, Anna ^a   Bursill, Christina A ^b   Myerscough, Mary R ^a  

^a UNIVERSITY OF SYDNEY   (Australia)

^b HEART RESEARCH INSTITUTE   (Australia)

Author keywords

Atherosclerosis; Bifurcation; Inflammation; PDE model

Indexed keywords

CYTOKINE; LOW DENSITY LIPOPROTEIN;

ATHEROSCLEROSIS; BIOLOGICAL MODEL; BLOOD; COMPLICATION; COMPUTER SIMULATION; FOAM CELL; HUMAN; IMMUNOLOGY; INFLAMMATION; INTIMA; MACROPHAGE; MATHEMATICAL PHENOMENA; METABOLISM; MONOCYTE; NONLINEAR SYSTEM; PATHOLOGY; PATHOPHYSIOLOGY; PHYSIOLOGY; PLAQUE, ATHEROSCLEROTIC;

ATHEROSCLEROSIS; COMPUTER SIMULATION; CYTOKINES; FOAM CELLS; HUMANS; INFLAMMATION; LIPOPROTEINS, LDL; MACROPHAGES; MATHEMATICAL CONCEPTS; MODELS, CARDIOVASCULAR; MONOCYTES; NONLINEAR DYNAMICS; PLAQUE, ATHEROSCLEROTIC; TUNICA INTIMA;

EID: 84946500216     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-015-0864-5     Document Type: Article

References (54)

1. Andersson J, Libby P, Hansson G (2010) Adaptive immunity and atherosclerosis. Clin Immunol 134(1, SI):33–46
2. Berg A, Scherer P (2005) Adipose tissue, inflammation, and cardiovascular disease. Circ Res 96(9):939–949
3. Bulelzai M, Dubbeldam J (2012) Long time evolution of atherosclerotic plaques. J Theor Biol 297:1–10
4. Bulelzai M, Dubbeldam J, Meijer H (2014) Bifurcation analysis of a model for atherosclerotic plaque evolution. Phys D-Nonlinear Phenom 278:31–43
5. Calvez V, Ebde A, Meunier N, Raoult A (2009) Mathematical modelling of the atherosclerotic plaque formation. ESAIM Proc 28:1–12
6. Calvez V, Houot J, Meunier N, Raoult A, Rusnakova G (2010) Mathematical and numerical modeling of early atherosclerotic lesions. ESAIM Proc 30:1–14
7. Channon K (2002) The endothelium and the pathogenesis of atherosclerosis. Medicine 30(4):54–58
8. Charo I, Taubman M (2004) Chemokines in the pathogenesis of vascular disease. Circ Res 95(9):858–866
9. Cilla M, Pena E, Martinez M (2014) Mathematical modelling of atheroma plaque formation and development in coronary arteries. J R Soc Int 11(90):20130866
10. Cobbold C, Sherratt J, Maxwell S (2002) Lipoprotein oxidation and its significance for atherosclerosis: a mathematical approach. Bull Math Biol 64(1):65–95
11. Cohen A, Myerscough M, Thompson R (2014) Athero-protective effects of high density lipoproteins (HDL): an ODE model of the early stages of atherosclerosis. Bull Math Biol 76(5):1117–1142
12. Dabagh M, Jalali P, Tarbell J (2009) The transport of LDL across the deformable arterial wall: the effect of endothelial cell turnover and intimal deformation under hypertension. Am J Physiol-Heart Circ Physiol 297(3):H983–H996
13. Di Vito L, Porto I, Burzotta F, Trani C, Pirozzolo G, Niccoli G, Leone AM, Crea F (2013) Radial artery intima-media ratio predicts presence of coronary thin-cap fibroatheroma: A frequency domain-optical coherence tomography study. Int J Cardiol 168(3):1917–1922
14. Doedel E, Champneys A, Fairgrieve T, Kuznetsov Y, Oldeman B, Paffenroth R, Sandstede B, Wang X, Zhang C (2007) AUTO-07P: continuation and bifurcation software for ordinary differential equations. http://cmvl.cs.concordia.ca/. Accessed Oct 2012
15. Dutta P, Courties G, Wei Y, Leuschner F, Gorbatov R, Robbins C, Iwamoto Y, Thompson B, Carlson A, Heidt T, Majmudar M, Lasitschka F, Etzrodt M, Waterman P, Waring M, Chicoine A, van der Laan A, Niessen H, Piek J, Rubin B, Butany J, Stone J, Katus H, Murphy S, Morrow D, Sabatine M, Vinegoni C, Moskowitz M, Pittet M, Libby P, Lin C, Swirski F, Weissleder R, Nahrendorf M (2012) Myocardial infarction accelerates atherosclerosis. Nature 487(7407):325–329
16. El Khatib N, Genieys S, Volpert V (2007) Atherosclerosis initiation modeled as an inflammatory process. Math Model Nat Phenom 2(2):126–141
17. El Khatib N, Genieys S, Kazmierczak B, Volpert V (2009) Mathematical modelling of atherosclerosis as an inflammatory disease. Philos Trans R Soc A-Math Phys Eng Sci 367(1908):4877–4886
18. El Khatib N, Genieys S, Kazmierczak B, Volpert V (2012) Reaction–diffusion model of atherosclerosis development. J Math Biol 65(2):349–374
19. Filipovic N, Rosic M, Tanaskovic I, Milosevic Z, Nikolic D, Zdravkovic N, Peulic A, Kojic M, Fotiadis D, Parodi O (2012) ARTreat project: three-dimensional numerical simulation of plaque formation and development in the arteries. IEEE Trans Inf Technol Biomed 16(2, SI):272–278
20. Filipovic N, Nikolic D, Saveljic I, Milosevic Z, Exarchos T, Pelosi G, Parodi O (2013) Computer simulation of three-dimensional plaque formation and progression in the coronary artery. Comput Fluids 88:826–833
21. Fok P (2012) Mathematical model of intimal thickening in atherosclerosis: vessel stenosis as a free boundary problem. J Theor Biol 314:23–33
22. Furchgott R (1999) Endothelium-derived relaxing factor: discovery, early studies, and identification as nitric oxide. Biosci Rep 19(4):235–251
23. Galkina E, Ley K (2007) Vascular adhesion molecules in atherosclerosis. Arterioscler Thromb Vasc Biol 27(11):2292–2301
24. Galkina E, Ley K (2009) Immune and inflammatory mechanisms of atherosclerosis. Ann Rev Immunol 27:165–197
25. Gessaghi V, Raschi M, Tanoni D, Perazzo C, Larreteguy A (2011) Growth model for cholesterol accumulation in the wall of a simplified 3D geometry of the carotid bifurcation. Comput Methods Appl Mech Eng 200(23–24):2117–2125
26. Han K, Hong K, Park J, Ko J, Kang D, Choi K, Hong M, Park S, Park S (2004) C-reactive protein promotes monocyte chemoattractant protein-1-mediated chemotaxis through upregulating CC chemokine receptor 2 expression in human monocytes. Circulation 109(21):2566–2571
27. Hansson G, Libby P (2006) The immune response in atherosclerosis: a double-edged sword. Nat Rev Immunol 6(7):508–519
28. Hidalgo A, Tello L, Toro E (2014) Numerical and analytical study of an atherosclerosis inflammatory disease model. J Math Biol 68(7):1785–1814
29. Ibragimov A, McNeal C, Ritter L, Walton J (2005) A mathematical model of atherogenesis as an inflammatory response. Math Med Biol-A J IMA 22(4):305–333
30. Kharbanda R, MacAllister R (2005) The atherosclerosis time-line and the role of the endothelium. Curr Med Chem Immunol Endocr Metab Agents 5(1):47–52
31. Libby P (2002) Inflammation in atherosclerosis. Nature 420(6917):868–874
32. Libby P, Ridker P (2006) Inflammation and atherothrombosis–from population biology and bench research to clinical practice. J Am Coll Cardiol 48(9, Suppl. A):A33–A46
33. Little M, Gola A, Tzoulaki I (2009) A model of cardiovascular disease giving a plausible mechanism for the effect of fractionated low-dose ionizing radiation exposure. PLOS Comput Biol 5(10):e1000539
34. Llodra J, Angeli V, Liu J, Trogan E, Fisher E, Randolph G (2004) Emigration of monocyte-derived cells from atherosclerotic lesions characterizes regressive, but not progressive, plaques. Proc Natl Acad Sci USA 101(32):11,779–11,784
35. Lusis A (2000) Atherosclerosis. Nature 407(6801):233–241
36. McKay C, McKee S, Mottram N, Mulholland T, Wilson S, Kennedy S, Wadsworth R (2004) Towards a model of atherosclerosis. In: Tech. rep. University of Strathclyde
37. McKellar G, McCarey D, Sattar N, McInnes I (2009) Role for TNF in atherosclerosis? Lessons from autoimmune disease. Nat Rev Cardiol 6(6):410–417
38. Milonas C, Jernberg T, Lindback J, Agewall S, Wallentin L, Stenestrand U (2010) Effect of angiotensin-converting enzyme inhibition on 1 year mortality and frequency of repeat acute myocardial infarction in patients with acute myocardial infarction. Am J Cardiol 105(9):1229–1234
39. Napoli C, de Nigris F, Williams-Ignarro S, Pignalosa O, Sica V, Ignarro L (2006) Nitric oxide and atherosclerosis: an update. Nitric Oxide-Biol Chem 15(4):265–279
40. Newby A (2008) Metalloproteinase expression in monocytes and macrophages and its relationship to atherosclerotic plaque instability. Arterioscler Thromb Vasc Biol 28(12):2108–2114
41. Newby A, Zaltsman A (1999) Fibrous cap formation or destruction—the critical importance of vascular smooth muscle cell proliferation, migration and matrix formation. Cardiovasc Res 41(2):345–360
42. Nozawa N, Hibi K, Endo M, Sugano T, Ebina T, Kosuge M, Tsukahara K, Okuda J, Umemura S, Kimura K (2010) Association between circulating monocytes and coronary plaque progression in patients with acute myocardial infarction. Circ J 74(7):1384–1391
43. Ougrinovskaia A, Thompson R, Myerscough M (2010) An Ode model of early stages of atherosclerosis: mechanisms of the inflammatory response. Bull Math Biol 72(6):1534–1561
44. Paavola C, Hemmerich S, Grunberger D, Polsky I, Bloom A, Freedman R, Mulkins M, Bhakta S, McCarley D, Wiesent L, Wong B, Jarnagin K, Handel T (1998) Monomeric monocyte chemoattractant protein-1 (MCP-1) binds and activates the MCP-1 receptor CCR2B. J Biol Chem 273(50):33,157–33,165
45. Pai J, Pischon T, Ma J, Manson J, Hankinson S, Joshipura K, Curhan G, Rifai N, Cannuscio C, Stampfer M, Rimm E (2004) Inflammatory markers and the risk of coronary heart disease in men and women. N Engl J Med 351(25):2599–2610
46. Pappalardo F, Musumeci S, Motta S (2008) Modeling immune system control of atherogenesis. Bioinformatics 24(15):1715–1721
47. Parodi O, Exarchos T, Marraccini P, Vozzi F, Milosevic Z, Nikolic D, Sakellarios A, Siogkas P, Fotiadis D, Filipovic N (2012) Patient-specific prediction of coronary plaque growth from CTA angiography: a multiscale model for plaque formation and progression. IEEE Trans Inf Technol Biomed 16(5, SI):952–965
48. Plank M, Wall D, David T (2007) The role of endothelial calcium and nitric oxide in the localisation of atherosclerosis. Math Biosci 207(1):26–39
49. Poston R, Poston D (2007) Typical atherosclerotic plaque morphology produced in silico by an atherogenesis model based on self-perpetuating propagating macrophage recruitment. Math Model Nat Phenom 2(2):142–149
50. Prior JA, Jordan KP, Kadam UT (2014) Associations between cardiovascular disease severity, osteoarthritis co-morbidity and physical health: a population-based study. Rheumatology 53(10):1794–1802
51. Ross R (1999) Mechanisms of disease—atherosclerosis—an inflammatory disease. N Engl J Med 340(2):115–126
52. Tabas I (2010) Macrophage death and defective inflammation resolution in atherosclerosis. Nat Rev Immunol 10(1):36–46
53. Volpert V, Petrovskii S (2009) Reaction–diffusion waves in biology. Phys Life Rev 6(4):267–310
54. Zohdi T, Holzapfel G, Berger S (2004) A phenomenological model for atherosclerotic plaque growth and rupture. J Theor Biol 227(3):437–443