Team:Evry/auxin pde
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+ | <h1>From realistic to simplified auxin diffusion model</h1> | ||
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+ | The main goal of this section is to clearly present our though process in modelling the diffusion and transportation of Auxin between Xenopus' tissues. | ||
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+ | <h2>An ideal model</h2> | ||
+ | Ideally, modelling Auxin's diffusion in tissues and its transportation through blood would require a 4D (3D space + time) PDE representation. Assuming a concentration can be defined, a powerful representation would use the general Reaction-Diffusion equation from which the famous Fisher-KPP equation is derived. Using this formalism, we propose to consider the 3 compartments of interest : emitter - blood - receiver and to write one PDE for each. | ||
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+ | The according equations, using the Nabla operator are therefore : | ||
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+ | <h2>Hypothesis</h2> | ||
Revision as of 14:42, 22 September 2012