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Mathematical modelling for biologists

Modelling concepts in biological research

    • Course overview
    • Search within this course
    • What is a mathematical model?
      • Why do modelling?
      • A success story of mathematical modelling
      • Word of caution
      • Check your learning
    • Introduction to networks and graphs
      • Basic graph theory definitions
      • Activity: Find the graph theory terms
    • How to get from biology to mathematics
      • How to translate biological knowledge into a graph
      • Guided example: the lac operon
        • Translating the lac operon into a graph
      • True or false quiz: From biology to a conceptual model graph
    • Introduction to three mathematical model formalisms
      • Boolean models
        • Guided example: ligand-receptor binding
        • Guided example: lac operon
          • Exploring model behaviour
        • Check your learning: Logical modelling
      • Difference equations models
        • Interlude: kinetic modelling in a nutshell
        • Guided example: Ligand receptor binding as a kinetic model
          • Check your learning: Kinetic modelling
        • Guided example: lac operon as a difference equation model
      • Ordinary differential equation models
        • Guided example: ligand-receptor binding
        • Guided example: lac operon
      • Choosing between these three types of models
    • Case study – Infectious diseases (SIR Models)
      • The SIR Model
        • To make predictions
        • To estimate variables or parameters of a system
        • To test hypotheses
        • To investigate “what-if” scenarios
        • To describe a system in an exact language
    • Other modelling approaches
    • Sustainable modelling and sharing
    • Summary
    • Check your learning
    • Your feedback
    • References

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