A Lumped Two-Compartment Model for Simulation of Ventricular Pump and Tissue Mechanics in Ischemic Heart Disease

Tijmen Koopsen*, Nick Van Osta, Tim Van Loon, Frans A Van Nieuwenhoven, Frits W Prinzen, Bas R Van Klarenbosch, Feddo P Kirkels, Arco J Teske, Kevin Vernooy, Tammo Delhaas, Joost Lumens

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review


Introduction: Computational modeling of cardiac mechanics and hemodynamics in ischemic heart disease (IHD) is important for a better understanding of the complex relations between ischemia-induced heterogeneity of myocardial tissue properties, regional tissue mechanics, and hemodynamic pump function. We validated and applied a lumped two-compartment modeling approach for IHD integrated into the CircAdapt model of the human heart and circulation. Methods: Ischemic contractile dysfunction was simulated by subdividing a left ventricular (LV) wall segment into a hypothetical contractile and noncontractile compartment, and dysfunction severity was determined by the noncontractile volume fraction ( N C V F ). Myocardial stiffness was determined by the zero-passive stress length ( L s 0 , p a s ) and nonlinearity ( k E C M ) of the passive stress-sarcomere length relation of the noncontractile compartment. Simulated end-systolic pressure volume relations (ESPVRs) for 20% acute ischemia were qualitatively compared between a two- and one-compartment simulation, and parameters of the two-compartment model were tuned to previously published canine data of regional myocardial deformation during acute and prolonged ischemia and reperfusion. In six patients with myocardial infarction (MI), the N C V F was automatically estimated using the echocardiographic LV strain and volume measurements obtained acutely and 6 months after MI. Estimated segmental N C V F values at the baseline and 6-month follow-up were compared with percentage late gadolinium enhancement (LGE) at 6-month follow-up. Results: Simulation of 20% of N C V F shifted the ESPVR rightward while moderately reducing the slope, while a one-compartment simulation caused a leftward shift with severe reduction in the slope. Through tuning of the N C V F , L s 0 , p a s , and k E C M , it was found that manipulation of the N C V F alone reproduced the deformation during acute ischemia and reperfusion, while additional manipulations of L s 0 , p a s and k E C M were required to reproduce deformation during prolonged ischemia and reperfusion. Out of all segments with LGE>25% at the follow-up, the majority (68%) had higher estimated N C V F at the baseline than at the follow-up. Furthermore, the baseline N C V F correlated better with percentage LGE than N C V F did at the follow-up. Conclusion: We successfully used a two-compartment model for simulation of the ventricular pump and tissue mechanics in IHD. Patient-specific optimizations using regional myocardial deformation estimated the N C V F in a small cohort of MI patients in the acute and chronic phase after MI, while estimated N C V F values closely approximated the extent of the myocardial scar at the follow-up. In future studies, this approach can facilitate deformation imaging-based estimation of myocardial tissue properties in patients with cardiovascular diseases.

Original languageEnglish
Article number782592
Number of pages17
JournalFrontiers in physiology
Publication statusPublished - 11 May 2022


  • computational modeling and simulation
  • contractile dysfunction
  • deformation imaging
  • myocardial infarction
  • strain
  • Myocardial infarction
  • Computational modeling and simulation
  • Contractile dysfunction
  • Deformation imaging
  • Strain


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