The Gibbs-Donnan near-equilibrium system of heart

The gradients of the major inorganic ions across the plasma membrane of heart were examined to determine the factors controlling the extent and direction of the changes induced during injury, certain diseases, and electrolyte disturbances. The ionic environment was altered by changing only the concentration of inorganic phosphate, [sigma Pi]o, from 0 to 1.2 to 5 mM in the Krebs-Henseleit buffer perfusing working rat hearts. Raising [sigma Pi]o from 1.2 to 5 mM resulted in a decrease in total Mg2+ content and calculated free cytosolic [Mg2+] from 0.44 to 0.04 mM, conversion of 4 mmol of MgATP2- to ATP4- and a decrease in measured intracellular [Cl-]i from 41 to 16 mM. At all levels of [sigma Pi]o, both the [Na+]i and [K+]i were invariant at about 3 mM and 130 mM, respectively, as was the energy of hydrolysis of the terminal phosphate bond of sigma ATP, delta GATP Hydr, of -13.2 kcal/mol. The relationship maintained between the ions on both sides of the plasma membrane by the 3Na+/2K(+)transporting ATPase (EC 3.6.1.37) and an open K+ channel was: (formula; see text) The energy of the gradients of the other inorganic ions across the plasma membrane, delta G[ion]o/i, exhibited three distinct quanta of energy derived from the prime quantum of delta GATP Hydr of -13.2 kcal/mol. The second quantum was about one-third of delta GATP Hydr or +/- 4.4 kcal/mol and comprised the delta G[Na+]o/i, delta G[Mg2+]o/i, and delta G[HPO42-]o/i. These results indicated near-equilibrium was achieved by the reactants of the 3Na+/2K(+)-ATPase, the K+ channel, the Na(+)-Pi co-transporter, and a postulated net Mg2+/H2PO4- exchanger. The third quantum was one-third of delta G[Na+]o/i or about +/- 1.5 kcal/mol and comprised delta G[H+]o/i, delta G[HCO3-]o/i, and delta G[Cl-]o/i. The delta G[K+]o/i was 0, indicating near-equilibrium between the chemical energy of [K+]o/i and the E across the plasma membrane of -83 mV. It is concluded that the gradients of the major inorganic ions across the plasma membrane and the potential across that membrane constitute a Gibbs-Donnan equilibrium system catalyzed by transport enzymes sharing common substrates. The chemical and electrical energies of those gradients are equal in magnitude and opposite in sign to the chemical energy of ATP hydrolysis.