Team:Paris/Modeling/FromMolReactToNLOde
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{{Paris/Header|From Molecular Reactions to Non-Linear ODEs}} | {{Paris/Header|From Molecular Reactions to Non-Linear ODEs}} | ||
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We must here propose a Mathematical Modeling of the <span style="color:#0000FF;">elementary molecular reactions</span>. The idea of the ''Characterization Approach'' is that this modelization must both accounts for <span style="color:#0000FF;">every small steps</span> of the system and allow the <span style="color:#0000FF;">experimental characterizations</span>. | We must here propose a Mathematical Modeling of the <span style="color:#0000FF;">elementary molecular reactions</span>. The idea of the ''Characterization Approach'' is that this modelization must both accounts for <span style="color:#0000FF;">every small steps</span> of the system and allow the <span style="color:#0000FF;">experimental characterizations</span>. | ||
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{{Paris/Toggle|all assumptions|Team:Paris/Modeling/More_From2Ode_Expl}} | {{Paris/Toggle|all assumptions|Team:Paris/Modeling/More_From2Ode_Expl}} | ||
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+ | == Mathematical Interpretation == | ||
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+ | First, we consider the '''complexation phenomenon'''. We show how it leads to Non-Linear interactions like Hill functions |
Revision as of 01:00, 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 ↑
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