title: Logistic time constant of isovolumic relaxation pressure-time curve in the canine left ventricle. Better alternative to exponential time constant.
abstract: BACKGROUND
  The time constant of left ventricular (LV) relaxation derived from a monoexponential model has been widely used as an index of LV relaxation rate or lusitropism, although this model has several well-recognized problems. In the present study, we proposed a logistic model and derived a "logistic" time constant (TL) as a better alternative to the conventional "exponential" time constant (TE).
  
  
  RESULTS
  A total of 189 beats (147 isovolumic and 42 ejecting beats) were investigated in seven canine excised cross-circulated heart preparations. We found that the logistic model fitted much more precisely all the observed LV isovolumic relaxation pressure-time [P(t)] curves than the monoexponential model (P < .05). The logistic model also fitted well both the time curve of the first derivative of the observed P(t) (dP/dt) and the dP/dt-P(t) phase-plane curve. Like TE, TL indicated that volume loading depressed LV lusitropism and that increasing heart rate and ejection fraction augmented it. TL was independent of the choice of cutoff point defining the end of isovolumic relaxation; TE was dependent on that choice.
  
  
  CONCLUSIONS
  We conclude that the logistic model better fits LV isovolumic relaxation P(t) than the monoexponential model in the present heart preparation. We therefore propose TL as a better alternative to TE for evaluating LV lusitropism.
authors.affiliation: Department of Physiology II, Okayama University Medical School, Japan.
authors.forename: H
authors.initials: H
authors.lastname: Matsubara
authors.forename: M
authors.initials: M
authors.lastname: Takaki
authors.forename: S
authors.initials: S
authors.lastname: Yasuhara
authors.forename: J
authors.initials: J
authors.lastname: Araki
authors.forename: H
authors.initials: H
authors.lastname: Suga
mesh_terms: D000818:Animals; D003971:Diastole / Q000502:physiology*; D004285:Dogs; D016015:Logistic Models; D008955:Models, Cardiovascular; D013997:Time Factors; D016277:Ventricular Function, Left / Q000502:physiology*; D017725:Ventricular Pressure / Q000502:physiology