It is recalled that the tension in a stretched polyelectrolyte chain mechanically compensates both the coulomb interaction and the hydrostatic pressure increase around the chain in a compromise which minimises the free energy and keeps water chemical potential constant throughout. Stretching strongly favors parallel cylinder nematic order in polyelectrolyte brushes on a surface or in the slit between two surfaces when the polyelectrolyte chains function as bridges. Strong, stiffly stretched chains result when the molarity of the fixed charge distribution is larger than the molarity of the neutral salt solution with which the brushes are in equilibrium. The relevance of these two systems to the endothelial cells which cover the walls of blood vessels is discussed.