Modeling Hormesis Using a Non-Monotonic Copula Method

TL;DR

This paper introduces a probabilistic non-monotonic copula method to model biphasic dose-response behaviors in biological systems, demonstrating improved accuracy and efficiency over traditional parametric approaches.

Contribution

The paper develops a novel non-monotonic copula approach based on the rolling-pin method for better modeling of biphasic dose-response relationships in biological data.

Findings

Outperforms conventional parametric methods in RMSE

Requires fewer parameters for modeling

Offers high flexibility in capturing nonlinear behaviors

Abstract

This paper presents a probabilistic method for capturing non-monotonic behavior under the biphasic dose-response regime observed in many biological systems experiencing different types of stress. The proposed method is based on the rolling-pin method introduced earlier to estimate highly nonlinear and non-monotonic joint probability distributions from continuous domain data. We show that the proposed method outperforms the conventional parametric methods in terms of the error (namely RMSE) and it needs fewer parameters to be estimated a priori, while offering high flexibility. The application and performance of the proposed method are shown through an example.