  Fluid pumping and the generation of electric current by living tissues are
required during morphogenetic processes and for maintainance of homeostasis.
How these flows emerge from active and passive ion transport in cells has been
well established. However, the interplay between flow and current generation is
not well understood. Here, we study the electro-hydraulic coupling that arises
from cell ion pumping. We develop a one-dimensional continuum model of fluid
and ion transport across active cell membranes. Solving the Nernst-Planck and
Poisson equations in the limit of weak charge imbalance allows us to derive
approximate analytical solutions of the model. These approximations, consistent
with the numerical results in physiologically relevant regime of parameters,
allow us to describe electro-hydraulic activity of cells and tissues in terms
of experimentally accessible parameters.
