Skip to main content
SpringerLink
Log in

Predicting the Time Course of Ventricular Dilation and Thickening Using a Rapid Compartmental Model

  • Original Article
  • Published:
Journal of Cardiovascular Translational Research Aims and scope Submit manuscript

Abstract

The ability to predict long-term growth and remodeling of the heart in individual patients could have important clinical implications, but the time to customize and run current models makes them impractical for routine clinical use. Therefore, we adapted a published growth relation for use in a compartmental model of the left ventricle (LV). The model was coupled to a circuit model of the circulation to simulate hemodynamic overload in dogs. We automatically tuned control and acute model parameters based on experimentally reported hemodynamic data and fit growth parameters to changes in LV dimensions from two experimental overload studies (one pressure, one volume). The fitted model successfully predicted the reported time course of LV dilation and thickening not only in independent studies of pressure and volume overload but also following myocardial infarction. Implemented in MATLAB on a desktop PC, the model required just 6 min to simulate 3 months of growth.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. Savinova, O. V., & Gerdes, A. M. (2012). Myocyte changes in heart failure. Heart Failure Clinics, 8(1), 1–6.

    Article  PubMed  Google Scholar 

  2. O’Gara, P. T., Kushner, F. G., Ascheim, D. D., Casey, D. E., Chung, M. K., De Lemos, J. A., et al. (2013). 2013 ACCF/AHA guideline for the management of st-elevation myocardial infarction. Circulation, 127(4), e362–425.

    Article  PubMed  Google Scholar 

  3. Yancy, C. W., Jessup, M., Bozkurt, B., Butler, J., Casey, D. E., Drazner, M. H., et al. (2013). 2013 ACCF/AHA Guideline for the Management of Heart Failure. Circulation, 128(16), 1810–1852.

    Article  PubMed  Google Scholar 

  4. Gardin, J. M., Mcclelland, R., Kitzman, D., Lima, J. A. C., Bommer, W., Klopfenstein, H. S., et al. (2001). M-mode echocardiographic predictors of six- to seven-year incidence of coronary heart disease, stroke, congestive heart failure, and nortality in an elderly cohort ( The Cardiovascular Health Study). The American Journal of Cardiology, 87(9), 1051–1057.

    Article  CAS  PubMed  Google Scholar 

  5. Aurigemma, G. P., Gottdiener, J. S., Shemanski, L., Gardin, J., & Kitzman, D. (2001). Predictive value of systolic and diastolic function for incident congestive heart failure in the elderly: the cardiovascular health study. Journal of the American College of Cardiology, 37(4), 1042–1048.

    Article  CAS  PubMed  Google Scholar 

  6. Nishimura, R. A., Otto, C. M., Bonow, R. O., Carabello, B. A., Erwin, J. P., Guyton, R. A., et al. (2014). 2014 AHA/ACC guideline for the management of patients with valvular heart disease: executive summary. Circulation, 129(23), 2440–2492.

  7. Bonow, R. O., Carabello, B. A., Chatterjee, K., de Leon, A. C., Faxon, D. P., Freed, M. D., et al. (2008). 2008. Focused Update Incorporated Into the ACC/AHA 2006 Guidelines for the Management of Patients With Valvular. Heart Disease. Circulation, 118(15), e523–e661.

  8. Suri, R. M., Vanoverschelde, J., Grigioni, F., Schaff, H. V., Tribouilloy, C., Avierinos, J., et al. (2013). Association between early surgical intervention vs watchful waiting and outcomes for mitral regurgitation due to flail mitral valve leaflets. The Journal of the American Medical Association, 310(6), 609–616.

  9. Feinstein, J. A., Benson, D. W., Dubin, A. M., Cohen, M. S., Maxey, D. M., Mahle, W. T., et al. (2012). Hypoplastic left heart syndrome: current considerations and expectations. Journal of the American College of Cardiology, 59(1 SUPPL), S1–S42.

  10. Witzenburg, C. M., & Holmes, J. W. (2017). A comparison of phenomenologic growth laws for myocardial hypertrophy. Journal of Elasticity, 129(1–2), 257–281.

    Article  PubMed  Google Scholar 

  11. Kerckhoffs, R. C. P., Omens, J. H., & McCulloch, A. D. (2012). A single strain-based growth law predicts concentric and eccentric cardiac growth during pressure and volume overload. Mechanics Research Communications, 42, 40–50.

  12. Kerckhoffs, R. C. P., Omens, J. H., & Mcculloch, A. D. (2012). Mechanical discoordination increases continuously after the onset of left bundle branch block despite constant electrical dyssynchrony in a computational model of cardiac electromechanics and growth. Europace, 14(Suppl 5), 65–72.

  13. Sasayama, S., Ross, J., Franklin, D., Bloor, C. M., Bishop, S., & Dilley, R. B. (1976). Adaptations of the left ventricle to chronic pressure overload. Circulation Research, 38(3), 172–178.

    Article  CAS  PubMed  Google Scholar 

  14. Kleaveland, J. P., Kussmaul, W. G., Vinciguerra, T., Diters, R., & Carabello, B. A. (1988). Volume overload hypertrophy in a closed-chest model of mitral regurgitation. The American Journal of Physiology, 254(6 Pt 2), H1034–H1041.

    CAS  PubMed  Google Scholar 

  15. Nagatomo, Y., Carabello, B. A., Hamawaki, M., Nemoto, S., Matsuo, T., & McDermott, P. J. (1999). Translational mechanisms accelerate the rate of protein synthesis during canine pressure-overload hypertrophy. The American Journal of Physiology - Heart and Circulatory Physiology, 277(6 Pt 2), H2176–H2184.

  16. Nakano, K., Swindle, M. M., Spinale, F., Ishihara, K., Kanazawa, S., Smith, A., et al. (1991). Depressed contractile function due to canine mitral regurgitation improves after correction of the volume overload. The Journal of Clinical Investigation, 87(6), 2077–2086.

  17. Jugdutt, B. I., Khan, M. I., Jugdutt, S. J., & Blinston, G. E. (1995). Effect of enalapril on ventricular remodeling and function during healing after anterior myocardial infarction in the dog. Circulation, 91(3), 802–812.

    Article  CAS  PubMed  Google Scholar 

  18. Santamore, W. P., & Burkhoff, D. (1991). Hemodynamic consequences of ventricular interaction as assessed by model analysis. The American Journal of Physiology, 260(1 Pt 2), H146–H157.

    CAS  PubMed  Google Scholar 

  19. Sunagawa, K., Maughan, W. L., & Sagawa, K. (1983). Effect of regional ischemia on the left ventricular end-systolic pressure-volume relationship of isolated canine hearts. Circulation Research, 52(2), 170–178.

    Article  CAS  PubMed  Google Scholar 

  20. Hood, W. B., McCarthy, B., & Lown, B. (1967). Myocardial infarction following coronary ligation in dogs. Circulation Research, 21(2), 191–200.

  21. Costantino, C., Corday, E., Lang, T. W., Meerbaum, S., Brasch, J., Kaplan, L., et al. (1975). Revascularization after 3 hours of coronary arterial occlusion: effects on regional cardiac metabolic function and infarct size. The American Journal of Cardiology, 36(3), 368–384.

  22. Roan, P. G., Buja, M., Saffer, S., Izquierdo, C., Hagler, H., Duke, B., et al. (1982). Effects of systemic hypertension on ischemic and nonischemic regional left ventricular function in awake, unsedated dogs after experimental coronary occlusion. Circulation, 65(1), 115–125

  23. Liang, C. S., Yi, J. M., Sherman, L. G., Black, J., Gavras, H., & Hood, W. B. (1981). Dobutamine infusion in conscious dogs with and without acute myocardial infarction. Effects on systemic hemodynamics, myocardial blood flow, and infarct size. Circulation Research, 49(1), 170–180.

    Article  CAS  PubMed  Google Scholar 

  24. Yamaguchi, K., Suzuki, K., Niho, T., Sato, M., Ito, C., & Ohnishi, H. (1983). Reduction of myocardial infarct size by trapidil in anesthetized dogs. Journal of Cardiovascular Pharmacology, 5(3), 499–505.

    Article  CAS  PubMed  Google Scholar 

  25. Sakamoto, S., Liang, C. S., Stone, C. K., & Hood, W. B. (1989). Effects of pinacidil on myocardial blood flow and infarct size after acute left anterior descending coronary artery occlusion and reperfusion in awake dogs with and without a coexisting left circumflex coronary artery stenosis. Journal of Cardiovascular Pharmacology, 14(5), 747–755.

    Article  CAS  PubMed  Google Scholar 

  26. Imai, N., Liang, C. S., Stone, C. K., Sakamoto, S., & Hood, W. B. (1988). Comparative effects of nitroprusside and pinacidil on myocardial blood flow and infarct size in awake dogs with acute myocardial infarction. Circulation, 77(3), 705–711.

    Article  CAS  PubMed  Google Scholar 

  27. Clarke, S. A., Goodman, N. C., Ailawadi, G., & Holmes, J. W. (2015). Effect of scar compaction on the therapeutic efficacy of anisotropic reinforcement following myocardial infarction in the dog. Journal of Cardiovascular Translational Research, 8(6), 353–361.

    Article  PubMed  PubMed Central  Google Scholar 

  28. Katayama, K., Tajimi, T., Guth, B. D., Matsuzaki, M., Lee, J.-D., Seitelberger, R., & Peterson, K. L. (1988). Early diastolic filling dynamics during experimental mitral regurgitation in the conscious dog. Circulation, 78(2), 390–400.

    Article  CAS  PubMed  Google Scholar 

  29. Theroux, P., Ross, J., Franklin, D., Kemper, W. S., & Sasayama, S. (1976). Coronary arterial reperfusion. III. Early and late effects on regional myocardial function and dimensions in conscious dogs. The American Journal of Cardiology, 38(5), 599–606.

    Article  CAS  PubMed  Google Scholar 

  30. Gaasch, W. H., Zile, M. R., Hoshino, P. K., Apstein, C. S., & Blaustein, A. S. (1989). Stress-shortening relations and myocardial blood flow in compensated and failing canine hearts with pressure-overload hypertrophy. Circulation, 79(4), 872–883.

    Article  CAS  PubMed  Google Scholar 

  31. Rodriguez, E. K., Hoger, A., & McCulloch, A. D. (1994). Stress-dependent finite growth in soft elastic tissues. Journal of Biomechanics, 27(4), 455–467.

    Article  CAS  PubMed  Google Scholar 

  32. Caruel, M., Chabiniok, R., Moireau, P., Lecarpentier, Y., & Chapelle, D. (2014). Dimensional reductions of a cardiac model for effective validation and calibration. Biomechanics and Modeling in Mechanobiology, 13(4), 897–914.

    Article  CAS  PubMed  Google Scholar 

  33. Walmsley, J., Arts, T., Derval, N., Bordachar, P., Cochet, H., Ploux, S., et al. (2015). Fast simulation of mechanical heterogeneity in the electrically asynchronous heart using the MultiPatch Module. PLoS Computational Biology, 11(7), e1004284.

Download references

Funding

This study was funded by the National Institutes of Health (U01 HL-127654, JWH) and the Hartwell Foundation (CMW). CMW and JWH have received funding from the American Heart Association. JWH has also received research grants from the National Institutes of Health and the National Science Foundation.

Author information

Authors and Affiliations

  1. Biomedical Engineering, University of Virginia, Charlottesville, VA, USA

    Colleen M. Witzenburg

  2. Biomedical Engineering, Medicine, and Robert M. Berne Cardiovascular Research Center, University of Virginia, Charlottesville, VA, USA

    Jeffrey W. Holmes

Authors
  1. Colleen M. Witzenburg
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jeffrey W. Holmes
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jeffrey W. Holmes.

Ethics declarations

This article does not contain any studies with human participants or animals performed by any of the authors.

Additional information

Associate Editor Craig Stolen oversaw the review of this article

Electronic supplementary material

ESM 1

(DOCX 3.90 MB)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Witzenburg, C.M., Holmes, J.W. Predicting the Time Course of Ventricular Dilation and Thickening Using a Rapid Compartmental Model. J. of Cardiovasc. Trans. Res. 11, 109–122 (2018). https://doi.org/10.1007/s12265-018-9793-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12265-018-9793-1

Keywords

Search

Navigation