IGEM:IMPERIAL/2006/project/Oscillator/Theoretical Analyses/Approach

Analysis of the Model of the Molecular Predation Oscillator

• Introduction
• Our Approach
• Model Simplication
• Our Results
• Conclusion
• Appendix

Overview of Our Approach

Principle 1: Study of Ever More Complex Models

• We took an incremental approach to the study of the 3D model.
• Under a reasonable set of assumptions the 3D model can be turned into a 2D system.
• We used this property fully as we built up our analysis towards that of the full 3D model:
  • First we studied 2D models
    • We started with Lotka-Volterra
    • We increased the complexity of the model each time until we obtained the 2D model which equivalent to the 3D model (under the set of assumptions)
    • See Result section for list of models
  • If time permitting: the whole 3D Model

• Breaking up the complexity of the 3D system in the way we did it had several notable advantages.
  • It allowed us to learn the basics of Dynamical Systems Analysis and practice them on simple models.
  • By modifying the various terms of the model we got a better understanding on how they interact with each other.
  • It allowed us to learn from the previous calculations and thus to push them further in an effective manner.

Principle 2: Normalisation Effort for a System Analysis

In order to make our results easy to read and comprehend, we normalised the various steps of our analyses and the presentation of our results.

• First page of the analysis: most important results

See the following template for the way we normalised

• Following Pages: Display of important simulations (and comments)

see the following tutorial for a possible way to present simulation results

• More detailed analyses are made available for downloading

Detailed analysis = proofs of results, full sets of simulations...

pdf and Doc suggested formats for attachments