Medical and Biological Engineering and Computing

, Volume 31, Issue 5, pp 459–467

Application of finite-element analysis with optimisation to assess thein vivo non-linear myocardial material properties using echocardiographic imaging

Authors

  • G. J. Han
    • Department of Biomedical and Mechanical Engineering and Iowa Institute of Bioemedical Engineering, College of EngineeringUniversity of lowa
  • K. B. Chandran
    • Department of Biomedical and Mechanical Engineering and Iowa Institute of Bioemedical Engineering, College of EngineeringUniversity of lowa
  • N. L. Gotteiner
    • Department of Internal MedicineUniversity of lowa
  • M. J. Vonesh
    • Department of Internal MedicineUniversity of lowa
  • A. W. Joob
    • Department of SurgeryNorthwestern University School of Medicine
  • R. Greene
    • Department of SurgeryNorthwestern University School of Medicine
  • G. M. Lanza
    • Department of Internal MedicineUniversity of lowa
  • D. D. McPherson
    • Department of Internal MedicineUniversity of lowa
Modelling

DOI: 10.1007/BF02441980

Cite this article as:
Han, G.J., Chandran, K.B., Gotteiner, N.L. et al. Med. Biol. Eng. Comput. (1993) 31: 459. doi:10.1007/BF02441980

Abstract

An application of finite-element analysis with an optimisation technique to assess the myocardial material properties in diastasisin vivo is described. Using the data collected from an animal model, the three-dimensional geometry of the left ventricular chamber, at several times in diastole, was reconstructed. From the measurement of the ventricular chamber pressure during image acquisition, finite-element analysis was performed to predict the expansion during diastasis. Initially, by restricting the motion of the epicardial nodes and computing the reaction forces, an ‘equivalent pericardial pressure’ was determined and applied in subsequent analysis. The duration of diastasis was divided into three or four intervals and the analysis was performed at each interval to assess the material properties of the myocardium. Using such a step-wise linear approach, the non-linear material properties of the myocardium during passive expansion was determined. Our results demonstrated that the computed ‘equivalent pericardial pressure’ increased with and was smaller than the corresponding left ventricularchamber pressure. The passive myocardium exhibited a linear tangent modulus against chamber pressure relationship which is equivalent to an exponential stress/strain relationship, similar to those suggested byin vitro studies.

Keywords

Exponential stress/strain relationshipFinite-element analysisLeft ventricular expansionPassive myocardiumTangential elastic modulusThree-dimensional geometry

Copyright information

© IFMBE 1993