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

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

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