Related Experiment Video
Updated: May 21, 2026

An R-Based Landscape Validation of a Competing Risk Model
Published on: September 16, 2022
Changing the Risk Paradigms Can be Good for Our Health: J-Shaped, Linear and Threshold Dose-Response Models
P F Ricci1, S R Straja, A L Cox
1Holy Names University, Xiamen University, Xiamen, China and University of Massachusetts, Amherst.
Abstract:
Both the linear (at low doses)-no-threshold (LNT) and the threshold models (S-shapes) dose-response lead to no benefit from low exposure. We propose three new models that allow and include, but do not require - unlike LNT and S-shaped models - this strong assumption. We also provide the means to calculate benefits associated with bi-phasic biological behaviors, when they occur and propose:THREE HORMETIC (PHASIC) MODELS: the J-shaped, inverse J-shaped, the min-max, andMethod for calculating the direct benefits associated with the J and inverse J-shaped models.The J-shaped and min-max models for mutagens and carcinogenic agents include an experimentally justified repair stage for toxic and carcinogenic damage. We link these to stochastic transition models for cancer and show how abrupt transitions in cancer hazard rates, as functions of exposure concentrations and durations, can emerge naturally in large cell populations even when the rates of cell-level events increase smoothly (e.g., proportionally) with concentration. In this very general family of models, J-shaped dose-response curves emerge. These results are universal, i.e., independent of specific biological details represented by the stochastic transition networks. Thus, using them suggests a more complete and realistic way to assess risks at low doses or dose-rates.
Related Concept Videos
Dose Response Curve: Conventional Versus Nonmonotonic
Types of Biopharmaceutical Studies: Controlled and Non-Controlled Approaches
Non-controlled studies, commonly employed for initial exploration, lack a control group, rendering them susceptible to biases and external influences. In contrast, controlled...
Pharmacodynamic Models: Additive and Proportional Drug Effect Model
Models of Health Promotion and Illness Prevention I
The health belief model (HBM) attempts to predict health-related behavior in specific belief patterns. According to the HBM, a person's...
Models of Health Promotion and Illness Prevention II
The agent-host-environment model states that disease results from...
Pharmacodynamic Models: Direct Effect Model and Indirect Response Model

