Related Experiment Video
Updated: May 6, 2026

Modeling Fast-scan Cyclic Voltammetry Data from Electrically Stimulated Dopamine Neurotransmission Data Using QNsim1.0
Published on: June 5, 2017
Dose-time-response modeling using negative binomial distribution
Munmun Roy1, Kanak Choudhury, M M Islam
1a Statistics Department, Head Office, Bangladesh Bank , Dhaka , Bangladesh.
Abstract:
People exposed to certain diseases are required to be treated with a safe and effective dose level of a drug. In epidemiological studies to find out an effective dose level, different dose levels are applied to the exposed and a certain number of cures is observed. Negative binomial distribution is considered to fit overdispersed Poisson count data. This study investigates the time effect on the response at different time points as well as at different dose levels. The point estimation and confidence bands for ED(100p)(t) and LT(100p)(d) are formulated in closed form for the proposed dose-time-response model with the negative binomial distribution. Numerical illustrations are carried out in order to check the performance level of the proposed model.
Related Concept Videos
Dose Response Curve: Conventional Versus Nonmonotonic
Pharmacodynamic Models: Additive and Proportional Drug Effect Model
Dose-Response Relationship: Overview
Pharmacokinetic–Pharmacodynamic Relationship: Dose to Pharmacological Effect
Pharmacodynamic Models: Direct Effect Model and Indirect Response Model
Dose-Response Relationship: Potency and Efficacy

