Modeling::Dimensionless Model

Contents 1 Dimensionless process 2 Parameters 3 Results 3.1 Sensitivity analysis 3.2 Stability analysis 3.3 Feedback analysis

Dimensionless process

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In order to make a further analysis on stability of the system, sensitivity of parameters, feedback factors-we manipulate all the arguments and parameters to make them dimensionless. Analysis of this part is crucial since parameters in vivo experiment may be different and even at odds with modeling ones but a proper dimensionless can reveal the mathematical essence of our model.

Considering the Hill equation in the simplification DDEs, A1_c1 and K_M1/ρ₁ should be the same order of magnitude, thus K_M1/ρ₁ is a well measurement of quantities of A1_c1. We have:

Parameters

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Results

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Sensitivity analysis

Stability analysis

Feedback analysis