An introduction to mathematical modelling of complex biological systems, with a focus on biochemical kinetic models, their numerical simulation, and methods for analytically and computationally studying their behaviour. This is a one-term independent-study project course: students will be given a set of directed readings, then assisted in selecting an existing model from the literature. After reproducing existing results, students will be tasked with extending the model in a direction of their own choosing; this can include exploring different parameter regimes, incorporating new or different aspects of the underlying biology, or applying different analytical techniques. Students will work with the instructor to select a suitable project, matching their background and interests. Formal lectures will be replaced with a series of weekly meetings with the instructor to discuss progress and plans.