Macromolecular transport in the arterial wall: Alternative models for estimating barriers

Annals of Biomedical Engineering

Volumn 33, Issue 11, 2005, Pages 1491-1503

  Lee, Kwangdeok ^a,b   Saidel, Gerald M ^a   Penn, Marc S ^a,b  

^a MetroHealth Medical Center   (United States)

^b LERNER RESEARCH INSTITUTE   (United States)

Author keywords

Arterial wall transport; Mathematical model; Optimal experiment design; Parameter estimation; Sensitivity analysis

Indexed keywords

ARTERIAL WALL TRANSPORT; ATHEROSCLEOROSIS; MACROMOLECULAR TRANSPORT; OPTIMAL EXPERIMENT DESIGN;

BIOMEDICAL ENGINEERING; CELLS; DISEASES; MATHEMATICAL MODELS; PARAMETER ESTIMATION; SENSITIVITY ANALYSIS;

MACROMOLECULES;

ANIMAL; ARTERY; ARTICLE; BIOLOGICAL MODEL; HUMAN; INTIMA; MACROMOLECULE; METABOLISM; PHYSIOLOGY; TRANSPORT AT THE CELLULAR LEVEL; TUNICA MEDIA;

ANIMALS; ARTERIES; BIOLOGICAL TRANSPORT; HUMANS; MACROMOLECULAR SUBSTANCES; MODELS, CARDIOVASCULAR; TUNICA INTIMA; TUNICA MEDIA;

EID: 29144486725     PISSN: 00906964     EISSN: 15739686     Source Type: Journal    
DOI: 10.1007/s10439-005-7216-3     Document Type: Article

References (35)

1. Avrameas, S., and B. Guilbert. Enzyme-immunoassay for the measurement of antigens using peroxidase conjugates. Biochimie. 54:837-842, 1972.
2. Box, M. J. An experimental design criterion for precise estimation of a subset of the parameters in a nonlinear model. Biometrika 58:149-153, 1971.
3. Chang, M. W., E. Barr, M. M. Lu, K. Barton, and J. M. Leiden. Adenovirus-mediated over-expression of the cyclin/cyclin-dependent kinase inhibitor, p21 inhibits vascular smooth muscle cell proliferation and neointima formation in the rat carotid artery model of balloon angioplasty. J. Clin. Invest. 96:2260-2268, 1995.
4. Dennis, J. E., D. M. Gay, and R. E. Welsch. Algorithm 573 NL2SOL: An adaptive nonlinear least-square algorithm [E4]. ACM Trans. Math. Software 7:369-383, 1981.
5. Fry, D. L. Mass transport, atherogenesis, and risk. Arteriosclerosis 7:88-100, 1987.
6. Fry, D. L., J. F. Cornhill, H. Sharma, J. M. Pap, and J. Mitschelen. Uptake of low density lipoprotein, albumin, and water by deen-dothelialized in vitro minipig aorta. Arteriosclerosis 6:475-490, 1986.
7. Fry, D. L., R. W. Mahley, S. Y. Oh, S. J. Lewis, F. Plowman, and C. R. Swyt. Quantitative microautoradiography of arteries: comparison of radioactivity to silver. Am. J. Physiol. 239:H289-H295, 1980.
8. Hindmarsh, A. C. ODEPACK, A systemized collection of ode solvers. In: Scientific Computing, edited by R. Stepleman, Amsterdam: North-Holland Publishers, 1983.
9. Huang, Z. J., and J. M. Tarbell. Numerical simulation of mass transfer in porous media of blood vessel walls. Am. J. Physiol. 273:H464-H477, 1997.
10. Kim, W. S., and J. M. Tarbell. Macromolecular transport through the deformable porous media of an artery wall. J. Biomech. Eng. 116:156-163, 1994.
11. Lasdon, L. S., A. D. Warren, A. Jain, and M. Ratner. Design and testing of a generalized reduced gradient code for nonlinear programming. ACM Trans. Math. Software 4:34-50, 1978.
12. Libby, P. Molecular bases of the acute coronary syndromes. Circulation 91:2844-2850, 1995.
13. Libby, P. Inflammation in atherosclerosis. Nature 420:868-874, 2002.
14. Lutchen, K. R., and A. C. Jackson. Reliability of parameter estimates from models applied to respiratory impedance data. J. Appl. Physiol. 62:403-413, 1987.
15. Morris, E. D., G. M. Saidel, and G. M. Chisolm, 3rd. Optimal design of experiments to estimate LDL transport parameters in arterial wall. Am. J. Physiol. 261:H929-H249, 1991.
16. Muzic, R. F. Jr., G. M. Saidel, N. Zhu, A. D. Nelson, L. Zheng, and M. S. Berridge. Iterative optimal design of PET experiments for estimating beta-adrenergic receptor concentration. Med. Biol. Eng. Comput. 38:593-602, 2000.
17. Ohno, T., D. Gordon, H. San, V. J. Pompili, M. J. Imperiale, G. J. Nabel, E. E. Nabel. Gene therapy for vascular smooth muscle cell proliferation after arterial injury. Science 265:781-784, 1994.
18. Penn, M. S., and G. M. Chisolm. Relation between lipopolysaccharide- induced endothelial cell injury and entry of macromolecules into the rat aorta in vivo. Circ. Res. 68:1259-1269, 1991.
19. Penn, M. S., M. R. Koelle, S. M. Schwartz, and G. M. Chisolm. Visualization and quantification of transmural concentration profiles of macromolecules across the arterial wall. Circ. Res. 67:11-22, 1990.
20. Penn, M. S., S. Rangaswamy, G. M. Saidel, and G. M. Chisolm. Macromolecular transport in the arterial intima: Comparison of chronic and acute injuries. Am. J. Physiol. 272:H1560-H1570, 1997.
21. Penn, M. S., G. M. Saidel, and G. M. Chisolm. Vascular injury by endotoxin: Changes in macromolecular transport parameters in rat aortas in vivo. Am. J. Physiol. 262:H1563-H15671, 1992.
22. Penn, M. S., G. M. Saidel, and G. M. Chisolm. Relative significance of endothelium and internal elastic lamina in regulating the entry of macromolecules into arteries in vivo. Circ. Res. 74:74-82, 1994.
23. Rade, J. J., A. H. Schulick, R. Virmani, and D. A. Dichek. Local adenoviral-mediated expression of recombinant hirudin reduces neointima formation after arterial injury. Nat. Med. 2:293-298, 1996.
24. Rangaswamy, S., M. S. Penn, G. M. Saidel, and G. M. Chisolm. Exogenous oxidized low-density lipoprotein injures and alters the barrier function of endothelium in rats in vivo. Circ. Res. 80:37-44, 1997.
25. Ross, R. The pathogenesis of atherosclerosis: A perspective for the 1990s. Nature 362:801-809, 1993.
26. Ross, R. Atherosclerosis is an inflammatory disease. Am. Heart J. 138:S419-S420, 1999.
27. Ross, R., and J. A. Glomset. The pathogenesis of atherosclerosis (Part I). N. Engl. J. Med. 295:369-377, 1976.
28. Ross, R., and J. A. Glomset. The pathogenesis of atherosclerosis (Part II). N. Engl. J. Med 295:420-425, 1976.
29. Saidel, G. M., E. D. Morris, and G. M. Chisolm, 3rd. Transport of macromolecules in arterial wall in vivo: A mathematical model and analytical solutions. Bull. Math. Biol. 49:153-169, 1987.
30. Schiesser, W. E., and C. Silebi. Computational Trasport Phenomena. New York: Cambridge University Press, 1997.
31. Tada, S., and J. M. Tarbell. Interstitial flow through the internal elastic lamina affects shear stress on arterial smooth muscle cells. Am. J. Physiol. Heart. Circ. Physiol. 278:H1589-H1597, 2000.
32. Tada, S., and J. M. Tarbell. Fenestral pore size in the internal elastic lamina affects transmural flow distribution in the artery wall. Ann. Biomed. Eng. 29:456-466, 2001.
33. Tada, S., and J. M. Tarbell. Flow through internal elastic lamina affects shear stress on smooth muscle cells (3D simulations). Am. J. Physiol. Heart Circ. Physiol. 282:H576-H584, 2002.
34. Tada, S., and J. M. Tarbell. Internal elastic lamina affects the distribution of macromolecules in the arterial wall: A computational study. Am. J. Physiol. Heart Circ. Physiol. 287:H905-H913, 2004.
35. Weinbaum, S., and S. Chien. Lipid transport aspects of atherogenesis. J. Biomech. Eng. 115:602-610, 1993.