Skip to main content
Log in

Importance of collateral vessels in aortic coarctation: computer simulation at rest and exercise using transmission line elements

  • Blood Flow
  • Published:
Medical and Biological Engineering and Computing Aims and scope Submit manuscript

Abstract

Coarctation of the aorta causes arterial hypertension in the upper body and a low blood pressure downstream. Collateral blood vessels compensate by reducing the downstream pressure drop. To study the effect of various coarctation and collateral properties, we designed a computer model of the arterial circulation. The model contains a flow source and a library of subroutines for the lines and connectors. Distributed friction and wall viscoelasticity effects are included. Computer simulation was performed, using published values for vessel dimensions, in an arterial model with a coarctation and one lumped collateral. Rest and two levels of exercise (by increased heart rate) were studied. Without a collateral, we found the downstream pressure of the model was extremely dependent on the size of the coarctation. A collateral vessel reduced the pressure difference between the up- and downstream circulations. For a severe coarctation, the length and the diameter of the collateral were the main factors determining the downstream pressure and flow, whereas wall stiffness of the collateral had little influence. The relationship between mean pressure drop and cardiac output in coarctation was also dependent on the peripheral resistance in different flow beds, especially during exercise.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Alpert, B. S., Barn, H. H., Balfe, J. W., Langford-Kidd, B. S., andOlley, P. M. (1979): ‘Role of the renin-angiotensin-aldosterone system in hypertensive children with coarctation of the aorta’,Amer. J. Card.,43, pp. 828–834

    Article  Google Scholar 

  • Anliker, M., Rockwell, R. L., andOgden, E. (1971): ‘Nonlinear Analysis of flow pulses and shock waves in arteries. Part I: Derivation and properties of mathematical model’,J. Appl. Math. Phys.,22, pp. 217–246

    Article  Google Scholar 

  • Callaghan, F. J., Geddes, L. A., Babbs, C. F., andBourland, J. D. (1986): ‘Relationship between pulse-wave velocity and arterial elasticity’,Med. Biol. Eng. Comput.,24, pp. 248–254

    Article  Google Scholar 

  • Clark, C. (1976): ‘The fluid mechanics of aortic stenosis. I Theory and steady flow experiments’,J. Biomech.,9, pp. 521–528

    Article  Google Scholar 

  • Clatworthy, H. W., Sako, Y., Chisholm, T. C., Culmer, C., andVarco, R. L. (1950): ‘Thoracic aortic coarctation’,Surg.,28, pp. 245–273

    Google Scholar 

  • D’Souza, A. F., andOldenburger, R. (1964): ‘Dynamic response of fluid lines’,J. Basic Eng. (Trans. ASME, Series D),86, pp. 589–598

    Google Scholar 

  • Engvall, J., Ask, P., Loyd, D., andWranne, B. (1991): ‘Coarctation of the aorta—a theoretical and experimental analysis of the effects of a centrally located arterial stenosis’,Med. Biol. Eng. Comput.,29, pp. 291–296

    Article  Google Scholar 

  • Hanson, E., Eriksson, B., andSörensen, S. E. (1980): ‘Intraarterial blood pressures at rest and during exercise after surgery for coarctation of the aorta’,Eur. J. Cardiol.,11, pp. 245–257

    Google Scholar 

  • Harrison, K. J., Sheikh, K. H., Davidson, C. J., Kisslo, K. B., Leithe, M. R., Himmelstein, S. I., Kanter, R. J., andBashore, T. M. (1991): ‘Balloon angioplasty of coarctation of the aorta evaluated with intravascular ultrasound imaging’,J. Amer. Coll. Cardiol.,15, pp. 906–909

    Article  Google Scholar 

  • Keenan, R. L., andRodbard, S. (1973): ‘Competition between collateral vessels’,Cardiovasc. Res.,7, pp. 670–675

    Article  Google Scholar 

  • Krus, P., Jansson, A., Palmberg, J.-O., andWeddfelt, K. (1991a): ‘Distributed simulation of hydromechanical systems’inBurrowsC. R., andEdge, K. A. (eds): ‘Computers in fluid power’, (Research Studies Press, London, UK) pp. 228–250. ISBN 0-86380-122-6.

    Google Scholar 

  • Krus, P., Karlsson, M., andEngvall, J. (1991b): ‘Modelling and simulation of the human arterial tree, using transmission line elements with visco-elastic walls’inVanderby, R.Jr. (Eds.): ‘Advances in Bioengineering 1991’ (American Society of Mechanical Engineers, New York) BED Vol.20, pp. 115–118, ISBN 0-7918-0889-0

    Google Scholar 

  • Krus, P., Weddfelt, K., andPalmberg, J.-O. (1991c): ‘Fast pipeline models for simulation of hydraulic systems’. Proc. American Society of Mechanical Engineers’ Winter Meeting 1991, New York

  • McDonald, D. A. (1974): ‘Blood flow in arteries’ (Edward Arnold, London) 2nd edn.

    Google Scholar 

  • Merrit, H. E. (1967): ‘Hydraulic control systems’ (John Wiley & Sons, New York)

    Google Scholar 

  • Nissen, S. E., Gurley, J. C., Grines, C. L.et al. (1991): ‘Intravascular ultasound assessment of lumen size and wall morphology in normal subjects and patients with coronary artery disease’,Circ.,84, pp. 1087–1099

    Google Scholar 

  • Salgado, H. C., Fazan, R., Jr., Machado, B. H. andSalgado, M. C. O. (1992): ‘Mechanical and neuro-humoral factors in acute aortic coarctation hypertenson’,Agents Actions Suppl.,36, pp. 152–163

    Article  Google Scholar 

  • Schenk, W. G. Jr., Menno, A. D., andMartin, J. W. (1961): ‘Hemodynamics of experimental coarctation of the aorta’,Ann. Surg.,153, pp. 163–172

    Article  Google Scholar 

  • Trikha, A. K. (1975): ‘An efficient method for simulating frequency dependent friction in transient liquid flow’,J. Fluids Eng., pp. 97–105

  • Westerhof, N., Bosman, F., De Vries, D. J., andNordergraaf, A. (1969): ‘Analog studies of the human systemic arterial tree’,J. Biomech.,2, pp. 121–143

    Article  Google Scholar 

  • Viersma, T. J. (1980): ‘Analysis, synthesis and design of hydraulic servosystems and pipelines’ (Elsevier, Amsterdam)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Engvall, J., Karlsson, M., Ask, P. et al. Importance of collateral vessels in aortic coarctation: computer simulation at rest and exercise using transmission line elements. Med. Biol. Eng. Comput. 32 (Suppl 1), S115–S122 (1994). https://doi.org/10.1007/BF02523337

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02523337

Keywords

Navigation