Michaelis-menten constraints improved cerebral glucose metabolism and regional lumped constant measurements with [18F] fluorodeoxyglucose

Hiroto Kuwabara, Alan C. Evans, Albert Gjedde

Research output: Contribution to journalArticlepeer-review

78 Scopus citations


In the three-compartment model of transfer of native glucose and [18F]fluorodeoxyglucose (FDG) into brain, both transport across the blood-brain barrier and phosphorylation by hexokinase can be described by the Michaelis-Menten equation. This permits the use of fixed transport (τ = K1*/K1) and phosphorylation (φ = k3*/k3) ratios and a common partition volume (Ve = K1/k2) for tracer and glucose. By substituting transfer constants of FDG for those of glucose, using τ and φ, the lumped constant was determined directly by positron tomography. The same constraints also eliminated k2* and k3* from the model, thus limiting the parameters to K* [equivalent to K1* k3*/(k2* + k3*)], K1*, and the cerebral vascular volume (V0). In six healthy elderly men (aged 61 ± 5 years), time-activity records of cerebral cortical regions were analyzed with τ = 1.1 and φ = 0.3. The results were compared with those of the conventional FDG method. At 20 min, the goodness of fit by the new equation was as good as that of the conventional method at 45 min. The estimates obtained by the constrained method had stable coefficients of variation. After 20 min, regional differences between the estimates were independent of time, although we observed steady decreases of K* and (k3*). The decrease strongly suggested dephosphorylation of FDG-6-phosphate, particularly after 20 min. All estimates of variable with the constrained method were more accurate than those of the conventional method, including the cerebral glucose metabolic rate itself, as well as physiologically more meaningful, particularly with respect to k2* and k3*.

Original languageEnglish (US)
Pages (from-to)180-189
Number of pages10
JournalJournal of Cerebral Blood Flow and Metabolism
Issue number2
StatePublished - 1990
Externally publishedYes


  • Cerebral metabolic rate for glucose-[f]fluorodeoxyglucose
  • Michaelis-menten equations

ASJC Scopus subject areas

  • Neurology
  • Clinical Neurology
  • Cardiology and Cardiovascular Medicine


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