  Several recent papers have addressed modelling of the tissue growth by the
multi-phase models where the velocity is related to the pressure by one of the
physical laws (Stoke's, Brinkman's or Darcy's). While each of these models has
been extensively studied, not so much is known about the connection between
them. In the recent paper (arXiv:2303.10620), assuming the linear form of the
pressure, the Authors connected two multi-phase models by an inviscid limit:
the viscoelastic one (of Brinkman's type) and the inviscid one (of Darcy's
type). Here, we prove that the same is true for a nonlinear, power-law
pressure. The new ingredient is that we use relation between the pressure $p$
and the Brinkman potential $W$ to deduce compactness in space of $p$ from the
compactness in space of $W$.
