ABSTRACT
Dynamic models are of utmost importance in biology, as they can capture key interactions and processes, such as the spread of infectious diseases in a population, the feedback inhibition of an enzyme, or the signalling cascade activated in response to glucose ingestion, or bacterial chemotaxis. Dynamic models are ubiquitous, across disciplines. A very common dynamic model is one that captures the flow of water out of an orifice. The archetypal dynamic model in systems biology is that of a biochemical system, which may comprise one or more processes, including metabolic reactions, gene transcription, protein translation, protein binding, allosteric inhibition, and so on. The law of mass-action is the all-important model underlying most kinetic models. Building on the work of Guldberg and Waage in 1860s, the law has been described in various forms. The Hill equation is the model of choice to capture the dynamics of systems where co-operativity is known to exist.
