Mathematical Foundations
Core mathematics required for biological modelling.
Explore →Mathematical Biology Mathematics for understanding living systems
Foundations of Mathematical Biology
How biological questions are translated into mathematical models.
Explore →Population Dynamics
Mathematical models of population growth, structure and extinction.
Explore →Interactions Between Species
Competition, predation, mutualism and interacting populations.
Explore →Dynamical Systems in Biology
Equilibria, stability, phase-plane analysis and biological dynamics.
Explore →Epidemiological Modelling
Mathematical models of infectious disease transmission and control.
Explore →Stochastic Processes for Biology
Random processes, Markov models and stochastic biological events.
Explore →Stochastic Differential Equations
Continuous stochastic models, Brownian motion and moment methods.
Explore →Spatial Mathematical Biology
Diffusion, spatial populations, travelling waves and pattern formation.
Explore →Cell and Molecular Biology Models
Mathematical models of biochemical, genetic and cellular processes.
Explore →Physiological and Medical Modelling
Models of drugs, tumours, immunity and physiological systems.
Explore →Evolutionary Mathematics
Selection, genetic drift, population genetics and evolutionary dynamics.
Explore →Networks in Biology
Graph-based models of contact, genetic and ecological networks.
Explore →Data and Parameter Estimation
Connecting mathematical models with biological observations and data.
Explore →Statistics for Mathematical Biology
Statistical methods for analysing biological data and uncertainty.
Explore →Computational Mathematical Biology
Numerical modelling, simulation and scientific computing with Python.
Explore →Machine Learning and Mathematical Biology
Data-driven learning combined with mechanistic biological models.
Explore →Decision Making and Prediction
Forecasting, risk, intervention and decisions under uncertainty.
Explore →Worked Biological Models
Complete worked examples connecting theory, computation and biology.
Explore →Reference Library
Notation, terminology, formulas and computational references.
Explore →About MathsBio
MathsBio is a progressive guide to mathematical biology. The learning structure moves from mathematical foundations to biological models, computation and applications.