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Mathematical biology uses mathematical models to connect biological mechanisms with quantitative predictions. Differential equations can track changing quantities, while population dynamics, enzyme kinetics and gene regulatory networks ask how growth, reactions and feedback shape living systems. A useful mathematical model states its assumptions and units: a simple chemostat, for example, reveals how nutrient supply and removal jointly determine whether a culture persists.

A nutrient supplies material or energy used by an organism. In mathematical biology, a nutrient concentration can be transported, produced and consumed, and can influence population dynamics or act as a chemoattractant.

This University of Oxford Part B paper is cross-listed for Mathematics and Mathematics and Statistics. Section A concerns mathematical biology, and section B concerns dynamical systems. ^[ref] The archive contains the complete editable eight-page transcription. Bounded searches of official sources found no advertised answers to this exact paper. The original solutions cover every source leaf and every unnumbered task in questions 5–8.