Skip to main content

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

  • Conference paper
  • First Online:
Functional Imaging and Modeling of the Heart (FIMH 2019)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 11504))

  • 1289 Accesses

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.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 59.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 79.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  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)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  15. Witzenburg, C.M., Holmes, J.W.: A comparison of phenomenologic growth laws for myocardial hypertrophy. J. Elast. 129(1–2), 257–281 (2017)

    Article  MathSciNet  Google Scholar 

  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)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Emanuele Rondanina .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Rondanina, E., Bovendeerd, P. (2019). A Simple Multi-scale Model to Evaluate Left Ventricular Growth Laws. In: Coudière, Y., Ozenne, V., Vigmond, E., Zemzemi, N. (eds) Functional Imaging and Modeling of the Heart. FIMH 2019. Lecture Notes in Computer Science(), vol 11504. Springer, Cham. https://doi.org/10.1007/978-3-030-21949-9_27

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-21949-9_27

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-21948-2

  • Online ISBN: 978-3-030-21949-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics