Team:Paris/Modeling/FromMolReactToNLOde
From 2008.igem.org
(→Mathematical Interpretation) |
|||
Line 19: | Line 19: | ||
== Mathematical Interpretation of the Molecular Reactions == | == Mathematical Interpretation of the Molecular Reactions == | ||
- | First, we consider the '''complexation phenomenon'''. We show how it leads to Non-Linear interactions like Hill functions | + | First, we consider the '''complexation phenomenon'''. We show, under the <span style="color:#0000FF;">quasi steady-state hypothesis</span> how it leads to <span style="color:#0000FF;">Non-Linear interactions</span> like "Hill functions". |
+ | |||
+ | Then, we apply these results to the <span style="color:#0000FF;">Molecular Reactions</span> of our system. That gives all the theoretical calculus of the complexations, and finally, with the <span style="color:#0000FF;">previous assumptions</span>, we get the <span style="color:#0000FF;">equations of the full system of ODEs</span>. |
Revision as of 01:20, 27 October 2008
From Molecular Reactions to Non-Linear ODEs
Idea and AssumptionsWe must here propose a Mathematical Modeling of the elementary molecular reactions. The idea of the Characterization Approach is that this modelization must both accounts for every small steps of the system and allow the experimental characterizations. ↓ precisions ↑
Therefore, the following equations do not describe properly what really happens in the cells. For exemple, we know that the transcription factor FlhD-FlhC is actually an hexamere FlhD4C2. But, as we will surely not get access to the dissociation constant of the hexamerisation, we just treat it as an abstract inducer protein "FlhDC", with an order (n) in its complexation caracterization probably around 2*4 = 8 (but perhaps completly different ! ; the estimation of the error by the parameter finder program will tell us if we are consistent). ↓ all assumptions ↑
|