Analysis of left ventricular hemodynamics in physiological hyperspace

Stephanie A. Eucker, Jennifer Lisauskas, Michael R. Courtois, Sándor J. Kovács

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


Our laboratory has previously shown that it is possible to elucidate novel physiological relationships by analyzing the left ventricular pressure (P) contour in the phase [time derivative of P (dP/dt) vs. P] plane (Eucker SA, Lisauskas JB, Singh J, and Kovács SJ, J Appl Physiol 90: 2238-2244, 2001). To further characterize cardiac physiology, we introduce a method that combines P-volume (V) and phase plane-derived information in physiological hyperspace. From four-dimensional (P, V, dP/dt, time derivative of V) hyperspace, we consider three-dimensional embedding diagrams having dP/dt, P, and V as coordinate axes. Our method facilitates analysis of physiological function independent of inotropic state and permits assessment of P-V-based relationships in the phase plane and vice versa. To test feasibility, the method was applied to murine hemodynamic data. As predicted from first principles, the area of the P-V loop (ventricular external work) correlated closely (r = 0.97) with phase plane limit cycle area (external power). The P-V planederived linear (r = 0.99) end-systolic P-V relationship (maximum elastance) appeared linear in the phase plane (r = 0.85). We conclude that analysis of data in physiological hyperspace is generalizable: it facilitates quantitative characterization of ventricular systolic and diastolic function and can guide discovery of novel physiological relationships.

Original languageEnglish
Pages (from-to)323-330
Number of pages8
JournalJournal of Applied Physiology
Issue number1
StatePublished - 2002


  • Nonlinear dynamics
  • Phase plane analysis
  • Pressure-volume analysis
  • Systolic-diastolic coupling


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