Team:ETH Zurich/Modeling/Analytical Approximations
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<h1> Kolmogorov-Petrovsky-Piskounov Equation </h1> | <h1> Kolmogorov-Petrovsky-Piskounov Equation </h1> | ||
+ | A reaction–diffusion equation concerning the concentration of a single molecule in one spatial dimension is known as the Kolmogorov-Petrovsky-Piskounov Equation. In our case, the equation for AHL has the following general structure: | ||
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Revision as of 19:47, 24 October 2013
Steady State AHL Gradient Approximation
In the reaction-diffusion model we have formalized the gradient establishment and we solved the resulting partial differential equation numerically. Now, the aim is to derive a suitable analytical approximation.
Kolmogorov-Petrovsky-Piskounov Equation
A reaction–diffusion equation concerning the concentration of a single molecule in one spatial dimension is known as the Kolmogorov-Petrovsky-Piskounov Equation. In our case, the equation for AHL has the following general structure: