Advertisement

A Simple Multi-scale Model to Evaluate Left Ventricular Growth Laws

  • Emanuele RondaninaEmail author
  • Peter Bovendeerd
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11504)

Abstract

Cardiac growth is the natural capability of the heart of adapting to changes in blood flow demands. Cardiac diseases can trigger the same process leading to an abnormal type of growth. Although several models have been published, details on this process remain still unclear. This study offers an analysis on the driving force of cardiac growth along with an evaluation on the final grown state. Through a zero dimensional model of the left ventricle we evaluate cardiac growth in response to three valve diseases, aortic and mitral regurgitation along with aortic stenosis. We investigate how different combinations of stress and strain based stimuli affect growth in terms of cavity volume and wall volume. All of our simulations are able to reach a converged state without any growth constraint. The simulated grown state corresponded to the experimentally observed state for all valve disease cases, except for aortic regurgitation simulated with a mix of stress and strain stimuli. Thus we demonstrate how a simple model of left ventricular mechanics can be used to have a first evaluation of a designed growth law.

Keywords

Left ventricle Concentric growth Eccentric growth 

References

  1. 1.
    Arts, T., Bovendeerd, P.H.M., Prinzen, F.W., Reneman, R.S.: Relation between left ventricular cavity pressure and volume and systolic fiber stress and strain in the wall. Biophys. J. 59(1), 93–102 (1991)CrossRefGoogle Scholar
  2. 2.
    Bovendeerd, P.H.M., Borsje, P., Arts, T., van De Vosse, F.N.: Dependence of intramyocardial pressure and coronary flow on ventricular loading and contractility: a model study. Ann. Biomed. Eng. 34(12), 1833–1845 (2006)CrossRefGoogle Scholar
  3. 3.
    Cantor, E.J.F., Babick, A.P., Vasanji, Z., Dhalla, N.S., Netticadan, T.: A comparative serial echocardiographic analysis of cardiac structure and function in rats subjected to pressure or volume overload. J. Mol. Cell. Cardiol. 38(5), 777–786 (2005)CrossRefGoogle Scholar
  4. 4.
    Carroll, J.D., et al.: Sex-associated differences in left ventricular function in aortic stenosis of the elderly. Circulation 86(4), 1099–1107 (1992)CrossRefGoogle Scholar
  5. 5.
    Cohn, J.N., Ferrari, R., Sharpe, N.: Cardiac remodeling-concepts and clinical implications: a consensus paper from an international forum on cardiac remodeling. J. Am. Coll. Cardiol. 35(3), 569–582 (2000)CrossRefGoogle Scholar
  6. 6.
    Guzzetti, E., et al.: Impact of metabolic syndrome and/or diabetes mellitus on left ventricular mass and remodeling in patients with aortic stenosis before and after aortic valve replacement. Am. J. Cardiol. 123(1), 123–131 (2019)CrossRefGoogle Scholar
  7. 7.
    van der Hout-van, M.B., Oei, S.G., Bovendeerd, P.H.M.: A mathematical model for simulation of early decelerations in the cardiotocogram during labor. Med. Eng. Phys. 34(5), 579–589 (2012)CrossRefGoogle Scholar
  8. 8.
    Kainuma, S., et al.: Pulmonary hypertension predicts adverse cardiac events after restrictive mitral annuloplasty for severe functional mitral regurgitation. J. Thorac. Cardiovasc. Surg. 142(4), 783–792 (2011)CrossRefGoogle Scholar
  9. 9.
    Kerckhoffs, R.C.P., Omens, J.H., McCulloch, A.D.: A single strain-based growth law predicts concentric and eccentric cardiac growth during pressure and volume overload. Mech. Res. Commun. 42, 40–50 (2012)CrossRefGoogle Scholar
  10. 10.
    Kleaveland, J.P., Kussmaul, W.G., Vinciguerra, T., Diters, R., Carabello, B.A.: Volume overload hypertrophy in a closed-chest model of mitral regurgitation. Am. J. Physiol. Heart Circulatory Physiol. 254(6), H1034–H1041 (1988)CrossRefGoogle Scholar
  11. 11.
    Nakano, K., et al.: Depressed contractile function due to canine mitral regurgitation improves after correction of the volume overload. J. Clin. Investig. 87(6), 2077–2086 (1991)CrossRefGoogle Scholar
  12. 12.
    Roger, V.L., Seward, J.B., Bailey, K.R., Oh, J.K., Mullany, C.J.: Aortic valve resistance in aortic stenosis: doppler echocardiographic study and surgical correlation. Am. Heart J. 134(5), 924–929 (1997)CrossRefGoogle Scholar
  13. 13.
    Villari, B., Hess, O.M., Kaufmann, P., Krogmann, O.N., Grimm, J., Krayenbuehl, H.P.: Effect of aortic valve stenosis (pressure overload) and regurgitation (volume overload) on left ventricular systolic and diastolic function. Am. J. Cardiol. 69(9), 927–934 (1992)CrossRefGoogle Scholar
  14. 14.
    Wisenbaugh, T., Spann, J.F., Carabello, B.A.: Differences in myocardial performance and load between patients with similar amounts of chronic aortic versus chronic mitral regurgitation. J. Am. Coll. Cardiol. 3(4), 916–923 (1984)CrossRefGoogle Scholar
  15. 15.
    Witzenburg, C.M., Holmes, J.W.: A comparison of phenomenologic growth laws for myocardial hypertrophy. J. Elast. 129(1–2), 257–281 (2017)MathSciNetCrossRefGoogle Scholar
  16. 16.
    Witzenburg, C.M., Holmes, J.W.: Predicting the time course of ventricular dilation and thickening using a rapid compartmental model. J. Cardiovasc. Trans. Res. 11(2), 109–122 (2018)CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Biomedical EngineeringEindhoven University of TechnologyEindhovenThe Netherlands

Personalised recommendations