title: [Biomathematical evaluation of morphometric data--presented illustrated on the example of the relationship between axon diameter and thickness of the myelin sheath. II. Nonlinear approximations].
abstract: After the process of measuring morphometrical characteristics performing empirical regressions as a first stage of data processing is treated in the foregoing part I of the paper. The morphometrical datas have to characterize a functional relationship between two variables X and Y, in the cases in question this is the connection between axon caliber and thickness of myelin sheat of nerve fibres. Based on the results of empirical regression the second data processing stage consists in performing nonlinear approximations of the measured courses by a suitable chosen mathematical function. For this purpose the generalized logistic function is chosen for a quantitative and qualitative description of the connection between axon caliber and myelin sheat thickness. The numerical procedure and the various possibilities of the ALGOL-program for performing the approximation task are sketched. The results of this second data processing stage are discussed under the aspects of information compressing, of automatic data processing, and of providing an objective basis for the further process of evaluation and interpretation.
mesh_terms: D000886:Anthropometry; D001369:Axons / Q000648:ultrastructure*; D002138:Calibration; D003201:Computers; D006801:Humans; D008128:Logic; D008433:Mathematics; D009186:Myelin Sheath / Q000033:anatomy & histology*
vernacular_title: Biomathematische Auswertung morphometrischer Daten--Dargestellt am Beispiel des Zusammenhangs zwischen Axondurchmesser und Markscheidendicke. II. Nichtlineare Approximationen.