Numerical Evaluation Of The Slope And Intercept
Of End-systolic Pressure-volume Relation
Author(s)
R. M. Shoucri
Abstract
Numerical evaluation of two methods to calculate slope and intercept of endsystolic
pressure-volume relation (ESPVR) in the left ventricle is presented. The
mathematical formalism is based on results previously published in which the
active force of the myocardium (also called isovolumic pressure Piso) is
introduced in the formalism describing the pressure-volume relation (PVR) in
the left ventricle. The numerical calculation is simple and can be easily
implemented in routine clinical work, only the ventricular pressure Pm near endsystole
needs to be estimated. A thick-walled cylindrical model contracting
symmetrically is assumed for the left ventricle.
Keywords: ventricular elastance, end-systolic pressure-volume relation,
pressure-volume relation in the ventricles, peak isovolumic pressure, active force
of the myocardium.
1 Introduction
In previous studies the author has stressed the importance of introducing the
active force of the myocardium (also called isovolumic pressure Piso by
physiologists) in the formalism describing the pressure-volume relation (PVR) in
the ventricles [1–5]. The mathematical formalism developed was used to
calculate the stress in the myocardium by using linear elasticity [5] and large
elastic deformation [1–4], in this formalism the active force of the myocardium
is modelled as force/unit volume of the myocardium generated by the cardiac
muscle (see fig. 1). In this study a relation derived in [2] is used to calculate the
non-linear end-systolic pressure-volume relation (ESPVR). It is shown that this
mathematical relation can be used to calculate in a non-invasive way the
Keywords
ventricular elastance, end-systolic pressure-volume relation,
pressure-volume relation in the ventricles, peak isovolumic pressure, active force
of the myocardium
Related Book
Other papers in this volume
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