Measuring performance and improvement of amateur runners

The main idea behind the project was to construct some sort of tool that could help runners, with a TomTom sports watch, in their training, by analysing the data that TomTom has available. Although, still far from reaching the desired goal, this project resulted in many useful insights. In order to construct such a tool training performance and...

Towards a Mathematical Formalism for Semi-stochastic Cell-Level Computational Modeling of Tumor Initiation

A phenomenological model is formulated to model the early stages of tumor formation. The model is based on a cell-based formalism, where each cell is represented as a circle or sphere in two-and three dimensional simulations, respectively. The model takes into account constituent cells, such as epithelial cells, tumor cells, and T-cells that...

Isotonic inverse estimators for nonparametric deconvolution

A new nonparametric estimation procedure is introduced for the distribution function in a class of deconvolution problems, where the convolution density has one discontinuity. The estimator is shown to be consistent and its cube root asymptotic distribution theory is established. Known results on the minimax risk for the estimation problem...