Linear Quadratic Model of Radiocurability on Multicellular Spheroids of Human Lung Adenocarcinoma LCT1 and Mouse Fibrosarcoma FSA

Abstract

The LCT1 cells derived from a human lung adenocarcinoma and the FSA cells from a mouse fibrosarcoma were found to form spheroids. The cure-dose relationship of spheroids and the survival curves of their component cells were analysed by using a linear-quadratic model for cell survival and a Poisson distribution for cure. The analysis resulted in three conclusions: (1) the double minus logarithm of cure probability was linearly related to radiation dose, (2) the critical cell number was constant at any given cure probability, and (3) cellular radiosensitivity was also constant. The experiments seem to meet these conditions for each of two kinds of spheroids.

Control doses (50%) were 20 Gy for LCT1 spheroids and 21 Gy for FSA spheroids, both 400 μm in diameter. The analysis showed that the lower cellular radiosensitivity and the higher number of clonogenic cells made LCT1 spheroids more radioresistant than FSA spheroids and that the higher critical number of 130 cells made the LCT1 spheroids more sensitive than the FSA spheroids with 18 such cells. The overall radiocurability of spheroids was a result of these three opposing effects, indicating that the critical cell number can be one important factor in determining the radiocurability of muticellular systems.