We have attempted to resolve the differences between the levels of free Mg2+ in muscle calculated by Wu et al. [Wu, S. T., Pieper, G. M., Salhany, J. M., & Eliot, R. S. (1981) Biochemistry 20, 7399-7403] (2.5 mM in guinea pig heart) and by Gupta and Moore [Gupta, R. K., & Moore, R. D. (1980) J. Biol. Chem. 255, 3987-3993] (0.6 mM in frog skeletal muscle) on the basis of substantially identical measurements by 31P NMR of the phosphate peaks in the spectrum of MgATP2-. The differences depend on the methods of calculation, including which reactions in which multiple equilibria are being considered. Biochemists and physical chemists customarily use different working definitions of the stability constant for MgATP2- in particular. Wu et al. used in their calculations, without reconciliation, methods involving three different operational definitions of the chelation equilibria involved. An algorithm for calculating Mg2+ and total ATP, which can be carried out with a hand calculator, is described here. With it, we calculated Mg2+ levels that agree with those determined by Gupta et al. [Gupta, R. K., Benkovic, J. L., & Rose, Z. B. (1978) J. Biol. Chem. 253, 6165-6171] with their in vitro systems. We therefore agree with the finding of Gupta and Moore that the Mg2+ level in skeletal and cardiac muscle is 0.6 mM.

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Previous work from this laboratory indicates that glucokinase serves as the glucose sensor of pancreatic islets. Here we show by nonlinear computer optimization that the kinetic properties of glucokinase (together with hexokinase, known to be present in islets) account for the observed glycolytic rates in islets as a function of glucose level. Alternative enzymes that have been suggested to perform the same function as glucokinase, N-acetyl-D-glucosamine kinase and glucose-6-phosphatase, are shown to have incompatible properties, including a poor fit, different curve shapes, and unreasonable parameter values resulting from optimization. Their activities in islets are shown to be too low to account for observed glucose usage rates. This work endorses our previous proposal that glucokinase acts as the glucose sensor in pancreatic islet cells.

We have constructed a relational data base containing the kinetic properties of the isoenzymes of hexokinase using the Knowledgeman data-base program on an IBM PC microcomputer. The natural subunit of this data base is the refereed publication, 165 of which were included. Reported values for the Mr (approx. 97,000) are in good agreement, but this agreement becomes progressively worse as one examines the Km values for glucose and ATP and the Ki for glucose 6-phosphate, where the reported values are spread over three orders of magnitude. Some quantities are very thinly or unreliably determined. Experimental conditions, especially free Mg2+ concentration, are rarely close to physiological. Reasons for the spread or uncertainty of numbers, and the distinctions that can be made between isoenzymes despite this spread, are discussed.