For the quantification of dynamic 18 F-FDG PET studies, the arterial plasma time-activity concentration curve (APTAC) needs to be available. This can be obtained using serial sampling of arterial blood or an image-derived input function (IDIF). Arterial sampling is invasive and often not feasible in practice; IDIFs are biased because of partial-volume effects and cannot be used when no large arterial blood pool is in the field of view. We propose a mathematic function, consisting of an initial linear rising activity concentration followed by a triexponential decay, to describe the APTAC. This function was fitted to 80 oncologic patients and verified for 40 different oncologic patients by areaunder-the-curve (AUC) comparison, Patlak glucose metabolic rate (MR glc ) estimation, and therapy response monitoring (DMR glc ). The proposed function was compared with the gold standard (serial arterial sampling) and the IDIF. Methods: To determine the free parameters of the function, plasma time-activity curves based on arterial samples in 80 patients were fitted after normalization for administered activity (AA) and initial distribution volume (iDV) of 18 F-FDG. The medians of these free parameters were used for the model. In 40 other patients (20 baseline and 20 follow-up dynamic 18 F-FDG PET scans), this model was validated. The population-based curve, individually calibrated by AA and iDV (APTAC AA/iDV ), by 1 late arterial sample (APTAC 1sample ), and by the individual IDIF (APTAC IDIF ), was compared with the gold standard of serial arterial sampling (APTAC sampled ) using the AUC. Additionally, these 3 methods of APTAC determination were evaluated with Patlak MR glc estimation and with DMR glc for therapy effects using serial sampling as the gold standard. Results: Excellent individual fits to the function were derived with significantly different decay constants (P , 0.001). Correlations between AUC from APTAC AA/iDV , APTAC 1sample , and APTAC IDIF with the gold standard (APTAC sampled ) were 0.880, 0.994, and 0.856, respectively. For MR glc , these correlations were 0.963, 0.994, and 0.966, respectively. In response monitoring, these correlations were 0.947, 0.982, and 0.949, respectively. Additional scaling by 1 late arterial sample showed a significant improvement (P , 0.001). Conclusion: The fitted input function calibrated for AA and iDV performed similarly to IDIF. Performance improved significantly using 1 late arterial sample. The proposed model can be used when an IDIF is not available or when serial arterial sampling is not feasible.