Multiscale model of the human cardiovascular system: Description of heart failure and comparison of contractility indices

Math Biosci. 2017 Feb:284:71-79. doi: 10.1016/j.mbs.2016.05.007. Epub 2016 Jun 6.

Abstract

A multiscale model of the cardiovascular system is presented. Hemodynamics is described by a lumped parameter model, while heart contraction is described at the cellular scale. An electrophysiological model and a mechanical model were coupled and adjusted so that the pressure and volume of both ventricles are linked to the force and length of a half-sarcomere. Particular attention was paid to the extreme values of the sarcomere length, which must keep physiological values. This model is able to reproduce healthy behavior, preload variations experiments, and ventricular failure. It also allows to compare the relevance of standard cardiac contractility indices. This study shows that the theoretical gold standard for assessing cardiac contractility, namely the end-systolic elastance, is actually load-dependent and therefore not a reliable index of cardiac contractility.

Keywords: Cardiovascular system; Mathematical models; Multiscale models; Physiological models; Sarcomere contraction.

MeSH terms

  • Heart Failure*
  • Humans
  • Models, Cardiovascular*
  • Myocardial Contraction*