Concepedia

Monotone Smoothing with Application to Dose-Response Curves and the Assessment of Synergism

Biometrics · 1990 · 185 citations · 17 references

Concepts

Therapeutic Drug MonitoringSpline-based ProcedureCurve ModelingMedicineDose-response CurvesBiostatisticsDosimetryPharmacokineticsPharmacotherapyCurve FittingPublic HealthMonotone Curve SmoothingPharmacologyFunctional Data AnalysisStatisticsNuclear MedicineDrug DiscoveryRadiology

Abstract

A spline-based procedure for monotone curve smoothing is proposed and is illustrated by application to dose-response curves. It is then shown how such smoothing can be applied to assess possible synergism or antagonism of two drugs.

References

17

Generalized Additive Models

Trevor Hastie, Robert Tibshirani · Statistical Science · 1986 · 3.4K citations

Log Likelihood, Engineering, Multivariate Analysis +11

THE TOXICITY OF POISONS APPLIED JOINTLY1

C. I. Bliss · Annals of Applied Biology · 1939 · 2.4K citations

Pharmacokinetic Modeling, Active Ingredient, Medicine +15

Some Aspects of the Spline Smoothing Approach to Non-Parametric Regression Curve Fitting

B. W. Silverman · Journal of the Royal Statistical Society Series B (Statistical Methodology) · 1985 · 1.1K citations

Parameter Estimation, Engineering, Curve Modeling +16

Statistical Inference under Order Restrictions (The Theory and Application of Isotonic Regression)

I. Vincze, R. E. Barlow, D. J. Bartholomew et al. · International Statistical Review · 1973 · 872 citations

Engineering, Estimation Statistic, Statistical Foundation +11

Analysis of combined drug effects: a new look at a very old problem

Ting‐Chao Chou, Paul Talalay · Trends in Pharmacological Sciences · 1983 · 615 citations

Substance Abuse, Adverse Drug Reaction, Pharmacology +8