Strontium-89 radionuclide therapy: a dosimetric study using impulse response function analysis

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Abstract
In a series of patients receiving 89Sr palliation for metastasised prostatic carcinoma, strontium renal plasma clearance was found to vary from 0.14 to 11.81 day-1, and the extent of skeletal metastatic disease seen on 99Tcm-MDP images varied from a few small metastases to a superscan. Using a numerical technique based on impulse response function (IRF) analysis, we have investigated the effect of such variation between patients on 89Sr dosimetry. The whole-body IRF, HWB(t), is defined by the deconvolution of the whole-body strontium retention function, RWB(t), with the plasma retention function, P(t). For patients with minimal metastatic bone disease we assumed HWB(t) = H0(t), where H0 is the IRF derived from the International Commision on Radiological Protection model for normal strontium metabolism. The strontium plasma clearance, k, was allowed to vary, and the resulting variation of RWB(t), P(t) and absorbed dose to bone marrow calculated. By convoluting P(t,k) with the IRF measured for a discrete metastasis, the effect of varying k on tumour dose was investigated. Tumour and bone marrow dose were shown to change be a factor of three as k varied over the range observed in patients. For patients with extensive metastatic bone disease we assumed HWB(t) = (1-.beta.)H0(t) + .beta.Hs(t), where Hs was the IRF measured for a superscan patients and .beta. was a parameter reflecting the extent of skeletal metastatic disease. The effect of varying .beta. on tumour and bone marrow dose was investigated, and dose shown to decrease by a factor of five as .beta. increased from zero to unity. Impulse response function analysis was found to be a powerful and useful aid in clarifying the relationship between strontium kinetics and 89Sr dosimetry.