Analysis of the Model of the Molecular Predation Oscillator
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