Dimensional reduction of a poromechanical cardiac model for myocardial perfusion studies

Radomír Chabiniok, Bruno Burtschell, Dominique Chapelle, Philippe Moireau

Research output: Contribution to journalArticlepeer-review


In this paper, we adapt a previously developed poromechanical formulation to model the perfusion of myocardium during a cardiac cycle. First, a complete model is derived in 3D. Then, we perform a dimensional reduction under the assumption of spherical symmetry and propose a numerical algorithm that enables us to perform simulations of the myocardial perfusion throughout the cardiac cycle. These simulations illustrate the use of the proposed model to represent various physiological and pathological scenarios, specifically the vasodilation in the coronary network (to reproduce the standard clinical assessment of myocardial perfusion and perfusion reserve), the stenosis of a large coronary artery, an increased vascular resistance in the microcirculation (microvascular disease) and the consequences of inotropic activation (increased myocardial contractility) particularly at the level of the systolic flow impediment. Our results show that the model gives promising qualitative reproductions of complex physiological phenomena. This paves the way for future quantitative studies using clinical or experimental data.

Original languageEnglish (US)
Article number100121
JournalApplications in Engineering Science
StatePublished - Dec 2022


  • Biomechanical modeling
  • Computational physiology
  • Ischemic heart disease
  • Microvascular disease
  • Myocardial perfusion
  • Poroelasticity

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Computational Mechanics
  • Mechanical Engineering


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