In the context of modeling biological systems, it is of interest to generate ideals of points with
a unique reduced Gröbner basis, and the first main goal of this paper is to identify classes of …

Abstract Model selection based on experimental data is an important challenge in biological
data science. Particularly when collecting data is expensive or time-consuming, as it is often …

Discrete models of gene regulatory networks have gained popularity in computational
systems biology over the last dozen years. However, not all discrete network models reflect …

Abstract Design of experiments and model selection are essential steps in biological data-
science pipelines and coupling them has the potential to improve computational efficiency …

Design of experiments and model selection, though essential steps in data science, are
usually viewed as unrelated processes in the study and analysis of biological networks. Not …

Applications of Gröbner bases, such as reverse engineering of gene regulatory networks
and combinatorial encoding of receptive fields, consider data sets whose ideals of points …