Page 10 ”The first two laws concern two processes: diffusion of particles caused by concentration differences and drift of ions caused by potential differences. The third law concerns the relationship between the proportional coefficients of the first two processes, the diffusion coefficient and the drift mobility . ”Unfortunately, here the reciprocal relations, which we discuss in section 2.4, between the processes is missing, as well as the role of the finite resources, which we discuss in section 2.2.2. This is a fundamentally wrong abstraction. The worst context of this abstraction is that it hides that the speeds of diffusion coefficients and speeds differ by several orders of magnitude, as it refers to the Nernst-Planck equation at zero flux, where, really, both speeds are zero. The equation, in addition, does not consider that by moving ions, we change the potential and concentration simultanously and inseparably; that is, handling the case with partial derivatives is not allowed.
Page 15”The negative sign indicates that flows in the opposite direction as and in the opposite (same) direction as if is positive (negative). This equation describes the passive behavior of ions in biological systems.” Unfortunately, there are doubts here if partial derivation can be applied at all: when changing one of the abstract entities the other changes simultanously, given that the ion represents mass and charge simultanously.