Cells expend a large amount of their free energy currency keeping the appropriate environment inside the cell. Thus, for example, Ca2+is present intracellularly at < 10-7 M, while extracellular Ca2+ is present in millimolar (10-3 M) concentrations, that is, 10,000-fold higher. The free energy difference due to the difference in [Ca2+], sometimes termed its
chemical potential, can be calculated. The difference of the ΔG°’ values when Ca2+ is at the same concentration (1M) on each side of a membrane is, of course, zero, so the free energy is given by:
Converting from natural to base 10 logarithms, and substituting values for the gas constant, and a standard temperature of 25° C. (298° K.):
This expression means that the influx of Ca2+ into a cell is highly exergonic. If a channel is opened into a cell to allow Ca2+ across the membrane, it will flood into the cell. In muscle cells, this influx of Ca2+ is the signal for contraction. Cells, especially muscle cells, have a Ca2+ active transport system, which transports two Ca2+ ions out of the cell for every ATP hydrolyzed. The ΔG°’ of ATP hydrolysis is enough to do transport only a single ion. Because, however, the ATP/ADP ratio is kept very high during active metabolic conditions, the concentration gradient of higher [Ca2+] outside the cell is maintained.
The Scope of Biochemistry
Introduction to Biological Energy Flow
