Teaching

Part II Mathematical Biology

Notes:

Printed notes: These are the material covered in lectures but in full written up format, intended for review after the course.

• Math Bio notes (up to lecture 6)

Overhead slides:These are scans of the handwritten slides from lectures. These may be useful if you miss a lecture or something needs fixed in your own notes:

• Lecture 6 (higher order discrete systems: breathing model)
• Lecture 7 (multi-generation: poppies, start of multi-species methods)
• Lecture 8 (multi-species: epidemic model)
• Lecture 9 (multi-species: predator-prey)
• Lecture 10 (multi-species: bacterial nutrient uptake)
• Lecture 11 (Fitzhugh-Nagumo model, excitable systems, start of stochastic systems)
• Lecture 12 (Stochastic systems: master equations for birth and death processes)
• Lecture 13 (Stochastic systems: generating functions and moments)
• Lecture 14 (Stochastic systems: extinction and multi-populations)
• Lecture 15 (Stochastic systems: Fokker-Planck)
• Lecture 16 (Stochastic systems: Covariance matrix, prelude to spatial dynamics)
• Lecture 17 (Spatial systems: Transport equation and steady diffusion)
• Lecture 18 (Spatial systems: Unsteady diffusion)
• Lecture 19 (Spatial systems: Unsteady diffusion continued, Advection)
• Lecture 20 (Spatial systems: Advection continued, Nonlinear diffusion)
• Lecture 21 (Spatial systems: Reaction diffusion, Fisher equation, propagating waves)
• Lecture 22 (Spatial systems: Fisher equation continued, Chemotaxis)
• Lecture 23 (Spatial systems: Chemotaxis, start of Turing instabilities)
• Lecture 24 (Spatial systems: Turing instabilities)

Examples sheets for this year:

• Examples sheet 1
• Examples sheet 2
• Examples sheet 3
• Examples sheet 4

Mathematica files:

Current students can check here for how to obtain and install Mathematica. These are some of the files used in lectures and referred to in the notes. (You may need to right-click and download the files and ensure the file extension is ".nb" before running.)

• Delay logistic equation
• Blowflies
• Fitzhugh-Nagumo model
• Logistic map

Links:

• Article mentioned in lectures: Mathematics is biology's next microscope, only better; Biology is mathematics' next physics, only better 
• Archibald Hill, studied the Mathematical Tripos at Cambridge. - inspiration that mathmos can do anything!
• Video presented by Hodgkin showing experimental work on axons
• Starlings murmuration
• The Turing Digital Archive
• Chemotaxis chase: Neutrophil and bacterium