Abstract

Activation of human basophils was studied through a statistical analysis of the plot of the fraction of maximum histamine release ( y) vs the mean number of activations, np. The profile of the ascending portion of this dose-response curve was compared with the profiles of a one-hit, two-hit and three-hit Poisson distribution. By use of the following functional forms of the Poisson distribution 1. (a) −In(1− y) = np one-hit 2. (b) −In(1− y) = np − In(1 + np) two-hit 3. (c) −In(1− y) = np − In[1 + np + ( np) 2/2] three-hit it was possible to statistically question the assumption of whether the two experimental parameters ( y, np) were related in accordance with any of the above functions. By use of four indices of the least squares line (slope, intercept, correlation coefficient and standard estimate of error) it was determined that the assumption of one-hit activation is not contradicted whereas the multi-hit processes are. In addition, the correlation coefficient and standard estimate of error worsen as the number of assumed hits increases.

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