Mathematical models of the relationship between HDL-Cholesterol and Serum Triglyceride: an empirical evaluation

S. P. Sady, R. C. Hanumara, P. N. Herbert

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

The nonlinear relationship between high density lipoprotein cholesterol (HDL-C) and triglycerides (TG) was examined in two different populations: (1) survivors of myocardial infarction in the β-Blocker Heart Attack Trial; and (2) a reference population from a health maintenance organization. An empirical evaluation of three mathematical models was done for males and females in each of the two populations. On the basis of higher R2 values and lower standard errors and coefficients of variation of the estimates for the three models, models (1) [HDL=Y0+((K)(Ym)){plus 45 degree rule}(K+TG)] and (2) [HDL= C0+(Cm)exp((-B)(TG))] were preferred. Parameter Y0(and C0) is the minimum value for HDL when TG becomes infinitely large, Ym(and Cm) is the range of the HDL between TG=0 and ∞, and K(and B) is a rate-of-change constant. Comparison of curves between males and females in each population revealed differences in the parameters, indicating that separate models are needed. Narrow confidence bands at the low TG levels for each sex and population group suggest better estimations would be obtained at these values than at elevated TG concentrations.

Original languageEnglish (US)
Pages (from-to)1103-1112
Number of pages10
JournalMathematical and Computer Modelling
Volume12
Issue number9
DOIs
StatePublished - 1989
Externally publishedYes

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Information Systems and Management
  • Control and Systems Engineering
  • Applied Mathematics
  • Computational Mathematics
  • Modeling and Simulation

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