Application of statistical distribution formulas to triglycerides originating in tissues having regional differences in fatty acid composition

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Abstract
Variations in triglyceride fatty acid composition are sometimes observed between different regions of the same fatty tissue in various plants and animals. When natural fats originate in such tissues, some error results if triglyceride distribution formulas are applied to anaverage fatty acid composition. An integral calculus technique has been developed to overcome this difficulty. This method has been applied to the random, restricted‐random, and 1,3‐random‐2‐random distribution hypotheses. The error resulting from such regional differences has been estimated for five natural fats originating in such heterogeneous tissues.If the relative amounts but not the types of fatty acids vary with location, regional differences do not appreciably affect the use of statistical distribution formulas. In such cases, triglyceride composition may be predicted from the average fatty acid composition without significant error. If different types of fatty acids exist in different regions, however, these differences must be taken into account to avoid large errors.

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