A dynamic model of ventricular interaction and pericardial influence

D. C. Chung, S. C. Niranjan, J. W. Clark, A. Bidani, W. E. Johnston, J. B. Zwischenberger, D. L. Traber

Research output: Contribution to journalArticlepeer-review

78 Citations (SciVal)

Abstract

A mathematical model describing the dynamic interaction between the left and the right ventricle over the complete cardiac cycle is presented. The pericardium-bound left and right ventricles are represented as two coupled chambers consisting of the left and right free walls and the interventricular septum. Time-varying pressure-volume relationships characterize the component compliances, and the interaction of these components produces the globally observed ventricular pump properties (total chamber pressure and volume). The model 1) permits the simulation of passive (diastolic) and active (systolic) ventricular interaction, 2) provides temporal profiles of hemodynamic variables (e.g., ventricular pressures, volumes, and flow) that agree well with reported observations, and 3) can be used to examine the effect of the pericardium on ventricular interaction and ventricular mechanics. It can be reduced to equivalency with models previously reported by invoking simplifying assumptions. Furthermore, model-generated 'dynamic interaction gains' are employed to quantify the mode and degree of ventricular interaction. The model also yields qualitative predictions of septal and free wall displacements similar to those detected experimentally via M-mode echocardiography. Such analogies may be extended easily to the study of pathophysiological states via appropriate modifications to 1) the pressure- volume characteristics of the component walls (and/or pericardium) and/or 2) the specific time course of activation of the ventricular free wall or the septum. A limited number of examples are included to demonstrate the utility of the model, which may be used as an adjunct to new experimental investigations into ventricular interaction.

Original languageEnglish
Pages (from-to)H2942-H2962
JournalAmerican Journal of Physiology - Heart and Circulatory Physiology
Volume272
Issue number6 41-6
DOIs
StatePublished - 1997

Keywords

  • Cardiac cycle
  • M-mode echocardiography
  • Pressure-volume relationship

ASJC Scopus subject areas

  • Physiology
  • Cardiology and Cardiovascular Medicine
  • Physiology (medical)

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