Bulletin of Mathematical Biology

, Volume 40, Issue 4, pp 465–482 | Cite as

Effects of external pressures on the pressure-volume relation of the left ventricle

  • Israel Mirsky
Article
Received:
Revised:

Abstract

The effects of ventricular geometry, muscle mass, muscle elasticity and external pressures on the pressure-volume and muscle stiffness-stress relations have been quantitated on the basis of a theoretical model. Data taken from patients before and after interventions with nitroprusside and angiotensin were applied to the model in order to explain the possible causes for the marked shifts in the pressure-volume relations.

The results indicate that (a) ventricular geometry does not markedly alter the pressure-volume and stiffness-stress relations unless there is a drastic change from a spherical shape to an ellipsoidal shape orvice versa, (b) increases in muscle mass and muscle elasticity of the order of 30% result in significant alterations in the P-V relations but are not the cause for the parallel shifts unless accompanied by substantial external pressures, (c) the parallel shifts in the pressure-volume relations can be accounted for entirely by the presence of external pressures without changes in muscle mass or muscle elasticity. Thus manipulation of right ventricular pressures or pericardial pressures by drug interventions may be useful in the treatment of left heart disease and the presence of such pressures must be considered in the analysis of ventricular function curves.

Keywords

Left Ventricle Muscle Mass Nitroprusside Ventricular Pressure Left Ventricular Pressure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Society for Mathematical Biology 1978

Authors and Affiliations

  • Israel Mirsky
    • 1
  1. 1.Department of MedicineHarvard Medical School and Peter Bent Brigham HospitalBostonU.S.A.

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