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Effect of the shape and configuration of smooth muscle cells on the diffusion of ATP through the arterial wall

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Abstract

In this study, the shape and the configuration of smooth muscle cells (SMCs) within the arterial wall are altered to investigate their influence on molecular transport across the media layer of the thoracic aorta wall. In a 2D geometry of the media layer containing SMCs, the finite-element method has been employed to simulate the diffusion of solutes through the media layer. The media is modeled as a heterogeneous system composed of SMCs having elliptic or circular cross sections embedded in a homogeneous porous medium made of proteoglycan and collagen fibers with an interstitial fluid filling the void. The arrangement of SMCs is in either ordered or disordered fashion for different volume fractions of SMCs. The interstitial fluid enters the media through fenestral pores, which are assumed to be distributed uniformly over the internal elastic lamina (IEL). Results revealed that in an ordered arrangement of SMCs, the concentration of adenosine 5′-triphosphate (ATP) over the surface of SMCs with an elliptic cross section is 5–8% more than those of circular SMCs in volume fractions of 0.4–0.7. The ATP concentration at the SMC surface decreases with volume fraction in the ordered configuration of SMCs. In a disordered configuration, the local ATP concentration at the SMC surface and in the bulk are strongly dependent on the distance between neighboring SMCs, as well as the minimum distance between SMCs and fenestral pores. Moreover, the SMCs in farther distances from the IEL are as important as those just beneath the IEL in disordered configurations. The results of this study lead us to better understanding of the role of SMCs in controlling the diffusion of important species such as ATP within the arterial wall.

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References

  1. Tarbell JM (2003) Mass transport in arteries and the localization of atherosclerosis. Ann Rev Biomed Eng 5:79–118

    Article  Google Scholar 

  2. Ross R (1993) Atherosclerosis: a defense mechanism gone away. Am J Pathol 143:987

    Google Scholar 

  3. Tada S, Tarbell JM (2004) Internal elastic lamina affects the distribution of macromolecules in the arterial wall: a computational study. Am J Physiol Heart Circ Physiol 287:H905–H913

    Article  Google Scholar 

  4. Caro CG, Lever MJ, Lever-Rudich Z, Meyer F, Liron N, Ebel W, Parker KH, Winlove CP (1980) Net albumin transport across the wall of the rabbit common carotid artery perfused in situ. Atherosclerosis 37:497–511

    Article  Google Scholar 

  5. Duncan LE, Cornfield J, Buck K (1962) The effect of blood pressure on the passage of labeled plasma albumin into canine aortic wall. J Clin Invest 41:1537–1545

    Article  Google Scholar 

  6. Fry DL (1983) Effect of pressure and stirring on in vitro aortic transmural 1251-albumin transport. Am J Physiol Heart Circ Physiol 245:H977–H991

    Google Scholar 

  7. Glagov S, Zarins C, Giddens DP, Ku DN (1988) Hemodynamics and atherosclerosis: insights and perspectives gained from studies of human arteries. Arch Pathol Lab Med 112:1018–1031

    Google Scholar 

  8. Kim WS, Tarbell JM (1994) Macromolecular transport through the deformable porous media of an artery wall. Trans ASME J Biomech Eng 116:156–163

    Google Scholar 

  9. Fry DL (1985) Mathematical models of arterial transmural transport. Am J Physiol Heart Circ Physiol 248:H240–H263

    Google Scholar 

  10. Huang ZJ, Tarbell JM (1997) Numerical simulation of mass transfer in porous media of blood vessel walls. Am J Physiol Heart Circ Physiol 273:H464–H477

    Google Scholar 

  11. Tada S, Tarbell JM (2001) Fenestral pore size in the internal elastic lamina affects transmural flow distribution in the artery wall. Ann Biomed Eng 29:456–466

    Article  Google Scholar 

  12. Duncan LE, Cornfield J, Buck K (1958) Circulation of iodinated albumin through aortic and other connective tissues of the rabbit. Circ Res 6:244–255

    Google Scholar 

  13. Caro CG, Nerem RM (1973) Transport of C-4-cholestrol between serum and wall in the perfused dog common carotid artery. Circ Res 32:187–205

    Google Scholar 

  14. Ghosh S, Finkelstein JN, Moss DB, Schwepp JS (1976) Evaluation of the permeability parameters of arterial wall for LDL and other proteins. In: Atherosclerosis: drug discovery, Plenum, New York pp 191–204

    Google Scholar 

  15. Nir A, Pfeffer R (1979) Transport of macromolecules across the arterial wall in the presence of local endothelial injury. J Theor Biol 81:685–711

    Article  Google Scholar 

  16. Gordon EL, Pearson JD, Dickinson ES, Moreau D, Slakey LL (1989) The hydrolysis of extracellular Adenine Nucleotides by arterial smooth muscle cells. J Biol Chem 264:18986–18992

    Google Scholar 

  17. Wang DM, Tarbell JM (1995) Modeling interstitial flow in an artery wall allows estimation of wall shear stress on smooth muscle cells. Trans ASME J Biomech Eng 117:358–363

    Google Scholar 

  18. Bratzler RL, Chisolm GM, Colton CK, Smith KA, Lees RS (1977) The distribution of labeled low-density lipoprotein across the rabbit thoracic aorta in vivo. Atherosclerosis 28:289–307

    Article  Google Scholar 

  19. Tedgui A, Lever MJ (1984) Filtration through damaged and undamaged rabbit thoracic aorta. Am J Physiol 247(Heart. Circ. Physiol. 16):H784–H791

  20. Tada S, Tarbell JM (2000) Interstitial flow through the intimal elastic lamina affects shear stress on arterial smooth muscle cells. Am J Physiol Heart Circ Physiol 278:H1589–H1597

    Google Scholar 

  21. Weinbaum S, Ganatos P, Pfeffer R, Wen GB, Lee M, Chien S (1988) On the time-dependent diffusion of macromolecules through transient open junctions and their subendothelial spread. I. Short-time model for cleft exit region. J Theor Biol 135:1–30

    Article  MathSciNet  Google Scholar 

  22. MATLAB 7, The Math Works, Inc., 2004

Download references

Acknowledgments

The authors would like to acknowledge the financial support for this work by the Academy of Finland (Grant No. 112908 and 110852). The authors gratefully acknowledge the valuable remarks received from Prof. J.M. Tarbell.

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Authors and Affiliations

  1. Department of Energy and Environmental Technology, Lappeenranta University of Technology, P.O.Box 20, 53851, Lappeenranta, Finland

    Mahsa Dabagh, Payman Jalali & Pertti Sarkomaa

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  1. Mahsa Dabagh
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  2. Payman Jalali
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  3. Pertti Sarkomaa
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Correspondence to Mahsa Dabagh.

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Dabagh, M., Jalali, P. & Sarkomaa, P. Effect of the shape and configuration of smooth muscle cells on the diffusion of ATP through the arterial wall. Med Bio Eng Comput 45, 1005–1014 (2007). https://doi.org/10.1007/s11517-007-0219-5

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  • DOI: https://doi.org/10.1007/s11517-007-0219-5

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