To better understand the dynamics of self-organizing complex structures and the sophisticated functions of living organisms, I believe the most promising way forward lies in combining various approaches that not only cross the boundaries between scientific fields (biology, chemistry, physics, informatics, mathematics), but which bridge hierarchies within the research subject itself. Cell state regulation at the gene level, collective cell migration dependent on intercellular interactions, microscopic structures and macroscopic morphologies of cell populations and tissues, interactions with the surrounding environment — these are just a few of the critical hierarchies that I address, approaching them from a perspective of multi-scale analysis. Rather than trying to fit a project into already existing frameworks, I construct mathematical models of these hierarchies from the ground up to suit each project’s experimental data. To aid in creating these models, I use new mathematical methods to extract additional features from high-dimensional biological data. Informing these models with additional and rare high-dimensional data allows these projects to reach beyond their original scope and provide theoretical advancements to their respective fields. My goal is to create paradigm shifts in the life sciences with this novel platform of mathematical and informatics analysis.