health

Optimizing Two-Arm Clinical Trials for Personalized Medicine using Integer Programming and Heuristic Algorithms

Subjects with complex and serious diseases, such as malaria and leukemia, can have adverse reactions to the best-known treatments. The personalized medicine approach becomes beneficial because the subjects’ characteristics or covariates are …

Constructing large Orthogonal Minimally Aliased Response Surface designs by concatenating two Definitive Screening Designs

Orthogonal minimally aliased response surface (OMARS) designs permit the study of quantitative factors at three levels using an economical number of runs. In these designs, the linear effects of the factors are neither aliased with each other nor …

Mathematical programming tools for randomization purposes in small two-arm clinical trials: A case study with real data

Modern randomization methods in clinical trials are invariably adaptive, meaning that the assignment of the next subject to a treatment group uses the accumulated information in the trial. Some of the recent adaptive randomization methods use …

Model Selection Reveals the Butyrate-Producing Gut Bacterium Coprococcus eutactus as Predictor for Language Development in 3-Year-Old Rural Ugandan Children

Introduction: The metabolic activity of the gut microbiota plays a pivotal role in the gut-brain axis through the effects of bacterial metabolites on brain function and development. In this study we investigated the association of gut microbiota …

Two-level orthogonal screening designs with 80, 96, and 112 runs, and up to 29 factors

Due to recent advances in the development of laboratory equipment, large screening experiments can now be conducted to study the joint impact of up to a few dozen factors. While much is known about orthogonal designs involving 64 and 128 runs, there …