May active solute flux control the cell volume in the steady state?

The dynamics of a bioreactor with a variable volume and an active solute flux based on the thermodynamics of irreversible processes and stability analysis was studied. The active solute flux may control both the bioreactor volume and the hydrostatic pressure as well as the concentration of the solute inside the cell in the steady state. The range of the active solute flux is limited by amplitudes (j1(0), J2(0] of the active transport depending on the membrane transport parameters. The dynamic system is stable for j0 greater than jth0.