Medicine

Medicine, treated mathematically, is the study of a small number of coupled dynamical systems: drug disposition, receptor binding, disease progression, all governed by the same state-space language as any other controlled system. Pharmacokinetics, pharmacodynamics, and quantitative systems pharmacology are not three separate disciplines but one object read at different points on a single dimension/structure ladder. My work here treats compartmental models, target-mediated drug disposition, and network pharmacology through control theory and thermodynamically consistent (GENERIC) dynamics.