Dose-response curves and competing risks.

Implicit dose-response curves.

We develop tools from computational algebraic geometry for the study of steady state features of autonomous polynomial dynamical systems via elimination of variables. In particular, we obtain nontrivial bounds for the steady state concentration of a given species in biochemical reaction networks with mass-action kinetics. This species is understood as the output of the network and we thus bound...

Competing risks.

Consider a unit which can experience any one of k competing failure types, and suppose that for each unit we observe the time to failure, T , and the type of failure, C ∈ {1, 2, . . . , k}. The case of observing the pair (T, C) is termed “competing risks” in the statistical literature. After considering some examples we review basic notation and theory of competing risks. In particular we consi...

Parametric Estimation in a Recurrent Competing Risks Model

A resource-efficient approach to making inferences about the distributional properties of the failure times in a competing risks setting is presented. Efficiency is gained by observing recurrences of the compet- ing risks over a random monitoring period. The resulting model is called the recurrent competing risks model (RCRM) and is coupled with two repair strategies whenever the system fails. ...

Competing risks and multistate models.

Complex clinical endpoints are present in studies in cancer. Especially in studies on hematopoietic stem-cell transplantation (HSCT), various risks exist after HSCT. Patients can experience acute and chronic graft versus host disease (GVHD) or need to undergo immunosuppressive therapy (IST), a relapse can occur, or patients can die after relapse or without former relapse (nonrelapse mortality, ...

Competing Risks Methods