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Revision as of 13:44, 17 September 2012

Model using Partial Differential Equations(PDE)

Overview

Using PDE instead of ODE allows one to take into account the space dimensions. Where in the ODE model, the concentration of auxin in a compartment was considered homogeneous, here we can represent the variations internal to the compartment. When taking into account the space dimensions, new problems arise: finding a coherent geometry, 2D vs 3D model, precision, etc. We chose to model a slice of a tadpole's tail based on images from [ADD BOOK REF]. Putting multiple such slices one after the other allows us to approximate a 3 dimensions model.

Hypothesis

There are the different hypothesis we were constrained to make in order to model the system:

1. The quantity of auxins is homogeneous in the blood

Model description

Equations

Geometry

Limit conditions

Calibration

Results

Conclusion

References