Applied Mathematics

Learn Mathematical Biology

The mathematics biology actually runs on: interacting populations (predator-prey, competition and coexistence, the chemostat), the kinetics of enzymes and membranes (Michaelis-Menten, cooperativity and the Hill equation, excitable membranes and the all-or-nothing spike), population genetics (Hardy-Weinberg as the null model, selection, drift, and the fixation probability of a single new mutation), and space and structure (age-structured Leslie matrices, reaction-diffusion, the Turing instability, chemotaxis without steering, molecular clocks, sequence alignment and tumour growth). It closes by interleaving all seventeen models and asking which applies where. Scoped against modeling, diff-eq, dynamics, probability and stochastic, which own logistic growth and compartment models, limit cycles and nullclines, and branching and birth-death processes; epidemics belong to the epidemiology chapter.

Free to start · adaptive placement finds your level · reviews timed so it stays learned.

What you'll learn

18 lessons in Mathematical Biology

Predator and preyCompetition & coexistenceThe chemostatMichaelis-Menten kineticsCooperativity & the Hill equationExcitable membranesHardy-Weinberg equilibriumSelectionGenetic driftFixation probabilityAge-structured populationsReaction-diffusionThe Turing instabilityChemotaxisMolecular clocksSequence alignmentTumour growthChoosing a model
How Erudia teaches

Built to be understood — and remembered.

Every idea is taught with motivation and a worked example before the drills, and an FSRS spaced-repetition engine schedules each review for the moment just before you'd forget it. A short placement check finds what you already know, so you start Mathematical Biology exactly where it's useful.

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