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Reaction diffusion equations

Reaction diffusion equations. A tutorial for biologists E. Grenier. Introduction. Introduction: what is a diffusion equation ?. A diffusion equation, or heat equation models for instance The evolution of the temperature in a room

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Reaction diffusion equations

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  1. Reaction diffusion equations A tutorial for biologists E. Grenier

  2. Introduction

  3. Introduction: what is a diffusion equation ? A diffusion equation, or heat equation models for instance • The evolution of the temperature in a room • The evolution of the concentration of chemical components in a solution • The repartition of a population of animals, each animal walking at random • The evolution of the concentration of ionic species in extracellular space It models the general behavior of particules or indiviuals which move at random • Ions move at random in extracellular space through thermal agitation • Animals move at random (and interact of course, but this interaction is not included in diffusion equation)

  4. Propagation of epidemies

  5. SIR system

  6. SIR system

  7. SIR system

  8. Propagation de la rage

  9. SIR system

  10. SIR system

  11. SIR system

  12. SIR system

  13. Spiral waves

  14. Spiral waves

  15. Spiral waves

  16. Spiral waves

  17. Pattern formation

  18. Pattern formation

  19. Pattern formation

  20. Pattern formation

  21. Pattern formation

  22. Pattern formation

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