User:SxE00/IGEM 2006: Difference between revisions
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Advisor on Dynamic Systems | Advisor on Dynamic Systems | ||
: - Lecture on Dynamic Systems | |||
: - Creation of Tutorials for IGEM Students (see below) | |||
: - Support in Mathematics (see scanned notes) | |||
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* '''Complementary Tutorials''' | * '''Complementary Tutorials''' | ||
** Tutorial 5 : Curve Fitting with the Least Square Method [http://www.openwetware.org/images/5/5c/WIKI_Document_Number_5_-_Curve_Fitting.pdf Least Square Methods] | ** Tutorial 5 : Curve Fitting with the Least Square Method [http://www.openwetware.org/images/5/5c/WIKI_Document_Number_5_-_Curve_Fitting.pdf Least Square Methods] | ||
** Tutorial 6 : Solving a Cubic Equation (Cardano's | ** Tutorial 6 : Solving a Cubic Equation (Cardano's Formulae) [http://www.openwetware.org/images/e/ea/WIKI_Document_Number_6_-_Cardano_Formulae.pdf Cardano] | ||
== Analyses of Dynamic Systems == | == Analyses of Dynamic Systems (Scanned Notes) == | ||
The final model was complex and depended on 8 independent parameters - 5 after rendering it dimension-less. Cases E=0 and E>0 were separated for practical and theoretical reasons: | |||
The final model was complex and depended on 8 independent parameters - 5 after rendering it dimension-less. | |||
Cases E=0 and E>0 were separated for practical and theoretical reasons: | |||
::- the case E=0 is a little bit simpler to study (one less parameter) | ::- the case E=0 is a little bit simpler to study (one less parameter) | ||
::- but its study gives good insights into working out the calculations for the general case | ::- but its study gives good insights into working out the calculations for the general case | ||
::- E=0 and E>0 exhibit some different characteristics as time goes to infinity | ::- E=0 and E>0 exhibit some different characteristics as time goes to infinity | ||
In order to support the students in their analysis of the dynamic system ( and especially spare them the complex calculations) the following documents were prepared. |
Revision as of 07:24, 21 September 2006
Overview of my Contribution to IGEM
Advisor on Dynamic Systems
- - Lecture on Dynamic Systems
- - Creation of Tutorials for IGEM Students (see below)
- - Support in Mathematics (see scanned notes)
Here is an example of Bifurcation Diagram which we obtained during our various analyses.
Tutorials
The following tutorials were prepared to support the work of the Imperial College students participating in IGEM 2006.
- Analysis of a Dynamic System
- Tutorial 1 : Basic Principles of Dynamic Analysis Dynamic Analysis
- Tutorial 2 : Application of Poincare - bendixson Poincare Bendixson
- Tutorial 3 : Template for the Analysis of a Dynamic System Template for Analysis
- Tutorial 4 : Suggestions for the Presentation of Simulation Results Presentation
- Complementary Tutorials
- Tutorial 5 : Curve Fitting with the Least Square Method Least Square Methods
- Tutorial 6 : Solving a Cubic Equation (Cardano's Formulae) Cardano
Analyses of Dynamic Systems (Scanned Notes)
The final model was complex and depended on 8 independent parameters - 5 after rendering it dimension-less. Cases E=0 and E>0 were separated for practical and theoretical reasons:
- - the case E=0 is a little bit simpler to study (one less parameter)
- - but its study gives good insights into working out the calculations for the general case
- - E=0 and E>0 exhibit some different characteristics as time goes to infinity
In order to support the students in their analysis of the dynamic system ( and especially spare them the complex calculations) the following documents were prepared.