Title: Modeling Hormesis Using a Non-Monotonic Copula Method,
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.