Unbiased Linear Property Estimation For Spheres From Sections Exhibiting Overprojection And Truncation

In the biological sciences, stereological techniques are frequently used to infer changes in structural parameters (volume fraction, for example) between samples from different populations or subject to differing treatment regimes. Non-homogeneity of these parameters is virtually guaranteed, both between experimental animals and within the organ under consideration. A two-stage strategy is then desirable, the first stage involving unbiased estimation of the required parameter, separately for each experimental unit, the latter being defined as a subset of the organ for which homogeneity can reasonably be assumed. In the second stage, these point estimates are used as data inputs to a hierarchical analysis of variance, to distinguish treatment effects from variability between animals, for example. Techniques are therefore required for unbiased estimation of parameters from potentially small numbers of sample profiles. This paper derives unbiased estimates of linear properties in one special case—the sampling of spherical particles by transmission microscopy, when the section thickness is not negligible and the resulting circular profiles are subject to lower truncation. The derivation uses the general integral equation formulation of Nicholson (1970); the resulting formulae are simplified, algebraically, and their efficient computation discussed. Bias arising from variability in slice thickness is shown to be negligible in typical cases. The strategy is illustrated for data examining the effects, on the secondary lysosomes in the digestive cells, of exposure of the common mussel to hydrocarbons. Prolonged exposure, at 30 μg 1−1 total oil-derived hydrocarbons, is seen to increase the average volume of a lysosome, and the volume fraction that lysosomes occupy, but to reduce their number.

Effects Of Aromatic-Hydrocarbons On The Metabolism Of The Digestive Gland Of The Mussel Mytilus-Edulis-L

1. The results presented in this paper show that the exposure of mussels to a sublethal concentration of oil-derived aromatic hydrocarbons (30 μg 1−1) for a period of 4 months significantly decreases the protein level in the digestive gland of the animals (−17%). 2. The activity of the nuclear RNA polymerase I and II is also significantly decreased in the digestive gland of hydrocarbon-exposed mussels (−64% and −18%, respectively). 3. The RNAase(s) activity present in the nuclei from the digestive gland cells increases following the exposure of the mussels to aromatic hydrocarbons. This effect is particularly evident at high ionic strength [200 mM (NH4)2SO4]. 4. The analysis of some characteristics of the nuclear RNAase(s) (most of which is soluble and shows a maximum of activity at pH 4−5) could indicate that part of this hydrolytic enzyme may have a lysosomal origin. 5. This fact appears to be in agreement with the finding that in the mussels exposed for 4 months to aromatic hydrocarbons the lysosomal stability decreases drastically and the total content of lysosomal enzymes is significantly increased (+42.4%).