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# Nernst-Planck equation

The Nernst-Planck equation describes the flux of ions through a diffusive membrane under the influence of both an ionic concentration gradient (X) and electric potential (V).

It is defined :

$\Phi = -D \nabla X - P X \nabla V$

Where D is a set of constants related to scaling the concentration gradient (X) and P is a set of constants related to scaling the potential (V) across the diffusive membrane.